so it goes ad infinitum

"Geometry enlightens the intellect and sets one's mind right. All of its proofs are very clear and orderly. It is hardly possible for errors to enter into geometrical reasoning, because it is well arranged and orderly. Thus, the mind that constantly applies itself to geometry is not likely to fall into error. In this convenient way, the person who knows geometry acquires intelligence."

Ibn Khaldun

 

"One, two, three; but where, my dear Timaeus, is the fourth ...?"

Socrates

 

 

 

 

 

After all, there are only six cosmic directions comprised of length, width, and height, variously transposed in patterns periodic of at least two perpendicular planes in one sphere. The cosmos, in fact, logically and universally, is everywhere in the form of a sphere, and little spheres within spheres. From place to place to any other place, all realms of space and time, corners high and low, are resolved in three simple dimensions.

It is not mere confidence that if A and B are the way they are, and they belong to C, then the way they belong to C is also the way they belong to things, and the way they belong to things is also from the way they are to each other. Space is also such a thing in cause and effect and it does not spatialize or connect a 4th dimension. Thus there is no escape, there is no way out, from the ontological power and interstitial superintendence of the cube, the cube of the circle, and the cube of the sphere, of course.

 

Language as logos (λόγος) adds to the proof, and words, therefore, both by nature and convention are choral to relate fullness as much as logic. The words and signs of epistemology and psychology are round and full as much as space itself (χώρα εαυτός).

If it takes wooden balls and a stiff mallet to play championship croquet, as they say, there is also room for geometry and a swarm of meaning out of any instruction book, and some odd things and sayings may never change. There is even a trinitarian trace in the psychology of the human voice, for instance, that shifts around strictly in 3-D. Yet like space and time, as much as the perspective may shift, there is no 4th dimension in it. There is always a parallel, however, and the psalms and wisdom books are as significant to world literature, in the manner of pure illustration of three inspired dimensions in one, as the Three Musketeers. Observing the way the world goes, with an immanent and transcendent sense, they range through the entire gamut of human experience and emotion in a focal lens that meets the eye in 3-D. The great shifting voice from the light and the dark in the clouds, et la vie 3-D, comes through in many other stories as well, like Theogony, Works and Days, the Illiad, Odyssey, the Aeneid, Thebaid and Pharsalia, et cetera.

Shifts in number as in voice and addressee are frequent in the Psalms, especially the psalms of lament. "These shifts are recognizable by syntactical shifts in subject, predicate, and second or third person addressee. Changes in voice normally entail a shift from first and/or second person to third person discourse, and shifts in addressee usually involve a change from speech directed to the Lord to descriptive speech about the Lord. The recognition of this phenomenon is very important ..."-23

If one delves into the mind and the phenomena of circular relation, relatio secundum esse, the I may become a you, and the you may become a one. Even this one or that one who is or would be one of the ones among them that is like one of these or those; and then there follows the sense where one becomes we, and then so formally they, et alia. As in French, for instance, where they say "on", which in the first instance means "one", but for the expressions in speech one becomes "we", "you", or any of the others like "I" or "they".

Martin Buber described I - Thou relation as dialogical, and I - it relation as monological. For the whole picture of the human voice and experience, therefore, also of the mind, the circuit of relation, however, is trinological at the root. Like the Mercedes-Benz logo and any Amercian Kenneth in an armored business suit, or King David of a royal stash, the circle of the voice and the calling takes care of the frequencies and everything.

It may seem sometimes like everybody wants an upgrade, but "you ain't going nowhere, and neither am I" he said to himself, solipsistically, as they were listening in. He knew they were there, and they did too. Even the air is full of eyes, roundabout, so many of them, and they knew he knew, and he knew they knew, since it was not any secret that could be kept between them. Not even from far away, but it was closer than that. It was like hidden cameras and spies and billboards everywhere ... in there.

So it goes among dedicated eavesdroppers and the paranoid, or perhaps the obsessed by some degree of the impetus squared. If there was an occult-action-at-a-distance, it was agreed by all witnesses at the scene that such a society would be compelled to be careful; especially on the street, and "we know it", he said to himself, as much as one of them, almost in the middle of nowhere. This problem of 3-D mentality is so vast that it even penetrates pop music as much as 1, 2, 3 and X, Y, Z. As much as ABC wiretaps' systems, besides wiretapping filaments and fibre-optics with big ears, for example, with strumming guitar and spies to listen in ...

Clouds so swift
Rain won't lift
Gate won't close
Railings froze
Get your mind off wintertime
You ain't goin' nowhere
Whoo-ee ride me high
Tomorrow's the day
My bride's gonna come
Oh, oh, are we gonna fly
Down in the easy chair !

I don't care
How many letters they sent
Morning came and morning went
Pick up your money
And pack up your tent
You ain't goin' nowhere
Whoo-ee ride me high
Tomorrow's the day
My bride's gonna come
Oh, oh, are we gonna fly
Down in the easy chair!

 

The gangster academics left in intelligence know as much too, to see about as many or as much soul as can fit in a fish bowl year after year. Swimming around the same old town, and as remedy to life in society, one may suggest the big city. "Nowadays, it is the only desert within our means".-24

So it goes, tout de meme, one, two, three ... azz ahnuvzab zap 5665 alpha, beta, gamma, and check the mail, omega, for what could be good perhaps instead of trouble. There always are more bills, certainly, and there seems to be in people a natural confusion of vanity and hope, even if it always seems the same. For as it was in the past, as Merlin warned King Arthur, "men forget where the way leads ... and what they meet with every day seems strange to them, for it is the doom of man that he forgets. For one may be mistaken, and think that he remembers when he really does not." (25)

 

 

III

 

"Howlers 'N Funny" was a balloon and party business that failed. "O Lacrima", they used to sing, and the show was over when the fat lady from the opera sang out her last. Envy often counts for more than happiness they discovered, but the experience was not unusual, as most small businesses fail within a few years. Like nine out of ten tech start-ups too, but if there was another actor also from Hollywood, a double too with a nose close enough for Buster Keaton III, who never smoked crystal meth or crack, no fentanyl either, with a premier TV show like something somewhat so popular and millions in the bank, who knew everybody so well, what would that be like for enjoyment and to laugh about for human interest?

 

In any case, as Aristotle said, clowns are numerous, a ready supply, and there may be many knock-offs perfect for cigars: and the principles in nature clearly are three, since all contraries gather and act on or through a third thing, another part, a substratum or collection different from both. Everything, whatever the elements, comes to be from subject and form, and before the 4th dimension, oblivion may have "Twistee Treats" and "Ted Talks" to salute the double chin, and biddy-biddy-bum.

 

There are many among the poor, true it is no shame, but no great honor either; and would it be so bad to have a small fortune? To salute the double chin and lifestyles of rich and famous, and every other more, daidle deedle daidle, dee-dee da-dee-dee, daidle deedle dumb, lucky Deebs and D'Iberville had mansions and cellars and buckets full of rum. Biddy-biddy-bum.

Where people and friends like to breathe good air, and go everywhere with good feelings, things, of coure, may still make sense if they can, deedle dee deedle dum, but "humility is the solid foundation of all virtues"-26 and also the truth. Some say it is like roses in a cellar of wine.

A reporter at the airport in London once asked Dr. Albert Schweitzer, "what's wrong with men today ?" 

Dr. Schweitzer answered, "men simply don't think."

 

"And who would know 'if the moon's not a balloon, coming out of a keen city in the sky -- filled with gracious people?' "-27 he might have said. The grace of nature in the law should prevail, and one day flowers may pick themselves. Mons Mensae of Table Mountain and all the planets and stars are in three simple dimensions too, certainly, from pole and equator to pole, as well as all the space and time in between them. All it takes are azimuth, altitude, and ascension to describe the coordinates of any planet or star in its course around the earth.

No one has seen any light or formal purpose within a range of set distribution greater than 3-D. As there is always some parallel, no pattern in logic or the stars shows any trace of a 4th dimension, or that 1, 2, and 3 of anything equal something other than 6. Existence itself, ens inquantum ens, is in the nature of a plenum. Like the excluded and non-excluded middle, either as much as sunlight through stained glass, or the ox by the golden horns, simple being is first and last to all becoming. Even if only as much as people can stand it, if there would be an intrusion of all mysteries into a room, the plenum is always everywhere in the properties of three dimensions.

Wherever there are two, there it is, the yielding in the midst, perhaps a virtue in the middle as to be or not to be and what to do. "To be or not to be", the ages-old famous question, echoing a crisis of calculation and disposition in what, how, and why from Elsinore, and the 4th dimension had no more sensible means of it, in the tension and question of existence there, than anywhere else that blindness can see itself. Even between extremities of tragic drama in a haunted castle, rem insania scire non potest, the insanity and corruption cannot be known, non magis quam caecitas se videre, not any more than blindness can see itself.-28

 

Since the way of perfection always turns against it, only communists could do this sort of thing, undermining honest crafts and needles contra naturam, and expect to get away with it. Bellarmine and blind Homer were right, to make no difficulties or pretense about rosy-fingered dawn in the first place; and whenever people talk about the 4th dimension, it is an intellectual fantasy always expressed in words, terms, and numbers that in the aspects are only three dimensional.

"Despite all the talk of a fourth dimension, the fundamentals of dimensionality have not changed. Relativity or no relativity, we still have only three spatial dimensions."-29 Indeed, yet so much more the confusion, the individual of common sense "is handicapped by coming face-to-face wih a conspiracy so monstrous he can scarcely believe that it exists,"-30; and the 4th dimension is never there in anything said or demonstrated for abstraction of the proof or proof of the abstraction. A false abstraction really, such a deceptive basis, "that object which is central to all of classical general relativity, the four-dimensional spacetime geometry, simply does not exist, except in a classical approximation."-31

Problems too and the great nuissance at least cannot be innumerable, which should be some relief, because if they were, the way damages occur would be unknowable, too difficult to assess like the 4th dimension. However, in assessing damages a finite number is sufficient, of course. Seeing that in any one situation, there is only one outcome, even the three stooges did not need help from such an incomprehehsible way of painful frustration as the 4th dimension.

There is that close conjunction where there is the simple fullness of up or down in contrast, yet the excruciation lurks to fascinate in the insufficient confusion. Moe could drop a brick or a hammer -- maybe an anvil -- on Curly's head from a second story window, as an accident, and the melancholy stupid bruise may quicken the tongue and lip to exclaim. Such weird things and exclamations before the joys of Heaven ... or pains of Hell, and with some feeling, "the mind is comprehensive of the whole act of existing. In fact, it can be identical with the act of existing itself, which is the ultimate principle of intelligibility".-32 And for the Stooges, as much as for NASA, the UN, and bump and run through the Valley of Sin, it is a lifetime of classical mathematics in the definitions themselves, with errors and props totally in 3-D, since each number is always the same.

And a number for each thing, where "we have two ears and one mouth, so we should listen more than we say"-33. To clear understanding few words suffice, "intelligenti pauca", as sometimes there is light up ahead at the end of the tunnel, even if it turns out to be a Japanese bullet train headed in the spectator's direction.

For the clue of thread into the labyrinth and out, following the trail of irony, and any loose pieces of Larry's hair, every descriptive trace, block, and curve of the supposed 4th dimension always comes out in one of three ways. The 4th simply is a delusion that cannot even fit inside their minds; and it is not ever in a vacuum either, of course, not in a void more than an atom, which would be the other end of impossible. Not in cubist art like "Guernica", or the most peculiar uses of weird science, or any movies or comic books somewhere else, if it were anywhere it should be right there where they are talking about it the most, speculating and working at it the hardest, with complicated explanations, intricate equations and diagrams, but it never is. It never is there except by complex misrepresentations that turn about and pop-up in 3-D, which show that there is never a proper end to reasoning which proceeds on a false foundation. 

 

The greatest or least difference is never obtained in a 4th dimension solution. Between any two or three points or any number to figure more, "there is no figure distinguishable and apart from triangle". As they say in Hell not only math lab, "nothing nothing nothing, nothing, of course, is redemption. Quia in inferno nihil redemptio est", or at least not what the stuff is that already is there or would be coming again soon. Since nihilism would not be better than elsewhere either, but a curiously local relief in Hell, in an extremely bad to worse situation, totally restricted in the way that it is, nothing would be better. To be nothing is better than the next best step. In other words, some days it may have been better to stay inside, to not go out, to discover the trouble that is found; and in that way of pain and cruel nuissance, so much as the experience, the 4th dimension could play for some sign of salvation perhaps, at least for not ever adding anything to the wrong thing or the wrong place, of course, since it does not exist.

 

 

More than tunnel vision, si tacuisses philosophus mansisses, and one thing they cannot get out of their heads is how not to talk about it in the wrong way since everything they say is wrong in the first place. And what an experience it can be, therefore, to change socks in peaceful solitude, away from annoyance, away from an excess in sensible qualitites, in an oblivious world where "the greatest part of mankind float between virtue and vice", as what goes up must come down. Sometimes it is like turpentine and dandelion wine, perhaps with juniper and orange peel, there is a fire in the belly and a fire in the head, a buzz going higher and higher until all are dead.

To anyone with wide experience, it has not been all joy and gladness, of course, that everything unfolds in three dimensions. "Misery is manifold"-34, and sometimes reality may be a cruel day to visit. “When you compare the sorrows of real life to the pleasures of the imaginary one, you will never want to live again, only to dream forever.”-35 

Harry Dean Stanton and Art Garfunkel used to sing, "All I have to do is dream. Dream, dream, dream", and without too much embarrassment Mr. Stanton made the open claim that he was married to Barbara Mandrell in his mind, and with some feeling in the absinthe, yet there have been terrible sufferings and pain. A grievous heavy burden, and from the covenant of peace also came the immensities of sorrow. St. Bartholomew was skinned alive, and some days "shall come kindled as a furnace"-36, where all the proud and wicked in another turn shall be rendered as stubble, and terrible wrath "shall set them on fire". 

"Come not between the dragon, and his wrath", for better it is where "quiet thoughts mend the body", and we should know that "nothing can be accomplished without norms and standards": 静 以 修 身 没 有 规 矩 不 成 方 圆 (jìng yǐxiū shēn méi yǒu guī ju bù chéng fāng yuán).

 

There was a Chinese teacher who played piano, "eighty-eight keys and a little universe", he said -- and "if a man were to say and write all he thinks, there would be nothing more horrible on God's Earth than man."-37 The dirty figure of Diogenes, for example, complained as often as he liked and called it prophecy for fun. He was acidulously bad, sometimes arcane, seemed to think that he was a king and nobody could tell him what to do. Nobody's fool, he lived in a great barrel of oak after six years of undergraduate college, then moved to a horse's tub of fine clay.

As any philosopher would, he thought and he reasoned, and he thought about things all day. He thought and reflected on all things that he could. Then when he saw in the clouds overhead at noon what looked like a palace of crystal and light, he recollected himself with an old onion, a little jar precious with oil and the right recipe, as the wondrous vision passed through the sky. So far above him yet almost near to touching liver and soul, he felt inspired and counted all his ways in the presence of mind, and discovered there was not any 4th dimension to be recognized in any of it, not even for a cup of coffee, glint of gin, or drop of cheap cherry wine. It was all riches and love for few and poverty or disgust for most. Too high-priced the cigarettes, if not pure pain in circles and bubbles of Euclid, from summit to abyss, even if for him, loose critic that he was, there was never the least intimation of any private property as a house or a home. 

Not even a van down by the river, but to him there played the shadow of an arc de triomphe at the poolhall, glory in the wagging tail of a dog, that would turn music to gold at the corner of sunset. In the land of the lost a man for all seasons, to reckon graffiti de l'étoile, and that "the vine bears three kinds of grapes: the first of pleasure, the second of intoxication, and the third of disgust." Far out and far away Apuleius wrote in "Metamorphoses", something not so different, “ad instar omnium horarum, prima creterra ad sitim pertinet, ad hilaritatem secunda, tertia ad voluptatem, quarta ad insaniam”: the first pitcher is to quench your thirst, the second for joy, and the third for pleasure, and the fourth for madness.

Ad orbis non veritas. In the world there is no truth, yet every cloud has a silver lining 守 得 云 开见 月 明 (shǒu dé yún kāi jiàn yuè míng); and as an oil lamp becomes brighter after trimming, a truth becomes clearer after being discussed: 灯 不 拨 不亮，理 不 辩 不 明 (dēng bù bō bù liàng, lǐ bù biàn bù míng).

"The smoky Moon is no simple drinker of wine" was a saying at the Collin de Plancy sublunar conferences, and once upon a time, in the wilderness of rhododendron mountain, burans, gurans and ladybugs on his sleeve, there was an 8th century Chinese poet, Li Po, who used a metonymy of six superlunary dragon-steeds, coursers carrying the sun around the earth, to represent the common geometry of space.

 

"O Sun that rose in the eastern corner of Earth,
Looking as though you came from under the ground,
When you crossed the sky and entered the deep sea,
Where did you stable your six dragon-steeds?

Now and of old your journeys have never ceased:
Strong were that man's limbs
Who could run beside you on your travels to and fro ... "

 

Three ways of to and fro (in ascension, azimuth, and altitude) for the chariot of the sun create the six universal directions.

 

Counting all six dragons, there is not a circle of a sphere anywhere in existence with a trace of the 4th dimension. In terms of the form, a circle is complete without beginning or end, and, therefore, the circle and sphere are the best signs of infinity and limitless activity. There is only one side overall with one uniform curve all the way around, yet the one side of the curve represents the wisps and winkles of innumerability in an infinite number of tangential little sides, for as many other circles and spheres too, as things would go round and round in inifinitesimal points of division, point to point, etc. 
 

 

The Foucault pendulum cranked up at the equator, therefore, and division by zero are not better than snowflakes for signs of an infinitesimal. Just where the little white mouse disappears for a category beyond the data, in the form of the universal, the circumference of a circle divided by the diameter does as well as any other vanishing relation too. Since Pi is an endless number, as the numberless edges hidden as the littlest tiniest points in the continuous round side are divided ad infinitum, on and on by the middle it goes, like 1, 2, 3, and ABC, simple as the joy of pi, 3.14159265359 ... XYZ forever. And everything people see or experience is between ends, where the circle has the edge of the finest point in between -- the angle of radius as diameter.

 

O, for the beauty of completion, the jigsaw puzzle adoratio tantumque, and N-2(180) represents the sum of interior angles of any polygon, and for a circle this number would approach infinity, as the figurative limit of the next increase. The next increase and so on, so much plus ultra and always one more, myriagons chiliagons gigagons, for all the sargassum in the Sargasso Sea.

O, the adorable time, the elevated places, adoratio memoriae, and N-2(180)/N represents the measure of each interior angle of any polygon; and for a circle this value eventually approaches a line, an hypostasis of mysterious duality in continuous distribution of the curve, as approximate 180, 179.999, etc. A system of reflection appears in mysterious tangent lines, as an infinitesimal number goes on, all the way around in degrees and angles from point to point to point. And so on, and for all parallel, wave, and parallax of all the sargassum in the Sargasso Sea.

If pine cones and little icicles were not proof enough for perfection, there are potentially an infinte number of semi-circles contained within a circle, where there are always two 180" angles covering each half, from any given point -- and the curve of a circle keeps going round and round forever. Like spherical waves and wavelets in Huygens' principle, '"lambda lambda amplitudinum", what comes along the timeline of human experience is in circles.

"Scientia est potentia", where some circles go up, some down. As much as the stars, the wheels go round and round; as much as the circles are forms, there are universals and spheres even in business and whatever semblance of success, et cetera.

 

Wibba, woebba, wabba, ka-hee cacahuetes indeed, everything as anything, anything as something more, and between any two points there must be something there. The source of excellence remains in a higher relation, and each semi-circle with the diameter of opposition, facing from the middle, is perfectly balanced against the other: fine examples of the reflexive and transitive principles of equality, with yet another 180 degrees in the side of the line adjacent from the other side of either one. The duality goes round and round in any two halves of the curve, around the straight line within, as to either the other side, adding to the picture of 360, the great 360 equalling the total sum ... in degrees of the one continuous exterior angle of the circle from every point, every once around.

 

More than the number 8 and the octave in numerology, if anything should be balanced in itself, as a karmic equalizer and for knowledge, therefore, infinity should be perfectly balanced: and what a thing it would be for a scientist with two eyeballs that still work and a pair of safety goggles to see it, in itself, from the core, if he could, since it alone is uniquely proportional to everything and to itself: being also the only one that it is once and always, and remaining equal to itself. As well the earth is the only one that it is, and equal to itself, but not infinite, of course -- only another circle in 3-D, and that way yet in the form of a limited sign of eternity, as a unique sphere under the stars.

As patterns go, the circle and sphere are simply the best good sets for a way to get an abstract picture of infinity, and so the astronomy of Earth, which is in every sign of the ecliptic and all the constellations, and between the ends of the Heavens, all the time, without ever moving.

 

IV

 

"Is that all there is"? she asked. "What else is there? There must be more," and the question at times comes close enough for the answer.

Nemo dat quod non habet, ni pisces ambulando, haud canes loquens.

“To be what we are, and to become what we are capable of becoming, is the only end of life,”-38 and when brainwashed heliocentrics would say that the geocentric mind is distorted and must think that the earth is flat, or believe in the "sky fairy", or Zeus from the Middle Ages, they are not realizing the irony of their own awkward position, that itself would deform the cosmology of Earth: by claiming with no scientific evidence that it is an oblate spheroid, not a sphere, and that it moves many speeds at once, and has such a sizable equatorial bulge and squeezed-in polar caps that by some it could be called fat or even a little odd.

 

However, the scene de trinitate et koobetones does not go like that. Rather not, no, no, not so, and through all the downs as much as the ups, through all confusions, depressions, apathies, and tiredness, and that quitting spirit that tells some people to go straight to Hell, at least as much as they would deserve it, a correct philosophy of science should still try to recognize the truth: and that when all the evidence is against an opinion, the difficulty is almost total or otherwise.

 

As the circle would be flat, infinitely for example, in the tiny tiny turns and tangential edges of the corners, so the earth is also "infinitely flat". If to a given limit a sign of infinity would appear in the numberless round points, a sphere of vanishing flatness appears to run over every hill. With as many little Archimedes points of existential capacity which nobody can add up for a total any better than Pi, the numbers go round within the realm of its sphere; and it is not rotating, of course, as far as the observable stillness and flatness go. The days and years go by, like roundlets around in many different circles, as circumstances of time and place change or not, but as so it goes the earth itself remains within its sphere and not in actual motion per se.

 

"How was the vacation in Florida"? someone asked another the others' sort. The other others other sort, "did you have a good time"?

 

"Great oranges, it was great", came the sort's answer. If there are people not so much in the know, in Florida the clouds are the mountains, and the sky the top, everywhere the top. The land of sunny dreams, by all parallel and curve, the most beautiful for clouds, beaches and les grandes tetons, like sun-kissed boobs of the mermaid, and an open bar at the Tiki Hut, with a huge blue tank of tropical fish. It was an all-inclusive moveable feast: incontestably amusing, ineluctable modality of the visible, at least that and then the more a wonderful bargain of a vacation experience, and so many palm trees, even like an Olympic victory for the sliding middle class! Slip sliding away.

No 4th dimension to confuse everything, not even for an hour and a half, even if for only one timeshare tour in exchange for the discount tickets, it could have seemed like there might be such a pain. Such a pain as the 4th dimension, yet the free "Medieval Times" tickets were a bonus with the airboat ride, and the trip to Cape Canaveral and Cocoa Beach reconciled everything, without anybody getting killed. Disney Hopper passes say a lot, and there is a special and beautiful edge of the earth around the beach in Florida, as longitudes and latitudes of haecceitas go, so nice and smooth, in many cubes and circles in the little flats and interstices of space, et cetera.

"Very nice, and a sea shell".

"Smoking".

"Did you see the Susie Lewis bikini contests? Lisa Renata or the Doolittle Fawkes girl?"

"We can never cease to be ourselves", even in a storage closet, she said, playing the star again, and with the right attitude shopping at Walmart can be a pleasure. Where also the round corners of the earth go flat, cubed with innumerability by the acres and aces squared, in many aisles and small areas. The first-time experience may overwhelm the mind of the bargain shopper, as any circle becomes a sphere that vanishes into day then into night.

Everywhere mathematics comes about in singular solutions the same, round round the rim of a round round circumstantial precipitous globe. The way sunlight can shine through the portals at Walmart, as the uniform curve of a circle represents a limit sign of infinity, it can be a sign for a lot, even if only by a little in a small way, but there is not any 4th dimension in it, of course. The little infinitesimal limits and aspects of infinity, evident in far away eyes too, and the disappearance of the four corners of the earth into space, by all parallel and circular flatness, for instance, multiplied all around in so many points of inquiry everywhere, as they go around in so many parts, continuously defy the 4th dimension ... a-questing quanta ad quantam ad quandos. So it goes ad infinitum, even if Isaac Newton lived for sick love in a box.

 

As John Donne wrote, alluding to the apocalypse ... and the "four angels standing on the four corners of the earth ..."

 

"At the round earth's imagin'd corners, blow
Your trumpets, Angels, and arise, arise
... you numberless infinities"

 

However confounded and technical the discussions of Riemann, Minkowski, Kaluza, Klein, and of Einstein for Marxist space-time and the 4th, 5th, or n dimensions could be, they are still talking about points and events in space. A supreme genus like "when", "where" is also due to cause and effect, in reflection as all that it is not stares back at what it is. As any two points in space yet can be joined by one simple straight line, as much as they cannot be separated by nothing, any straight line joining two points will have only one midpoint and one property of parallel.

Through the center, perpendicular to the line joining the two separate points, the midpoint will have only two perpendicular planes to summarize all rotation, with four by two 90 degree angles for the circles in the cross section. And this figure of eight simple boxes, an octave as much as any other, for all rotation in a sphere, would be one that supposedly with enough illogical distortion could be predicated also of the hypothetical and irrational zones of Minkowski space-time: and 4th, 5th, or n dimensions. A peculiar cube only for cultivation of appropriate stupidities to follow Copernicus and heliocentric bewilderment off the bridge like a flightless pigeon.

All the planed lines in aggregation will represent the dualities of process process in three dimensions. The necessity in the way to be for created space manifests yet again in spite of mountains of confusion and deception thrown up in favor of illusions of modernist relativity and scientific materialism. It will always emerge that in natural terms Euclidean space and geometry are sufficiently definitive, complete, and most convenient for all metric tensors and integrations of calculus, etc. So called relativity of "tangent space", and "nonlocal paradigms and measurements", and whole lexicons of Einsteinian and Judeo-Masonic refuse do not change that; or "that the three angles of a triangle are together [not] more than 180 degrees, and that the circumference and diameter of a circle do ... stand in the relationship of pi = 3.14159265359".-39

 

In their formulas of interpretation, Minkowski and the other 4th dimension relativists were using mathematical symbols for imaginary quantities which we can neither visualize nor conceive. A farce of the impossible as possible, the very mathematical symbols used to denote the form of the connections involved in their abstract calculations indicate the impossibility of our doing so. Thus the very mathematical symbols resourced to justify their over-the-top adventures in "n" dimensions indicate the purely imaginary character of all their reasoning. From such an atmosphere of surreal and irrational postulates, Einstein built up his theoretical principles of so many incompatible oddities on the vine.-40

 

With the strangest fingers in the lab, and such long nails like a crab, the 4th dimension recedes beyond the well of reason for obscurities. Never there in existence of any transparency or pattern, because everywhere change, chance, and structure are in 3-D, even for the occult it cannot escape the powers of proportion, and these are they that come out in the way things count ... one, two, three. In one form or another to count is to calculate, and vice verse ad infinitum. To calculate is to count, and the summary operations themselves contradict the 4th dimension; since if anyone wants to count all the false dimensions, it is the same way to go about it as counting everything already in the three. Wherefore, to absolutely crush and destroy the heresy, simply add it up, since some things never change for the technique of parallel. Like the geometric properties of counting, Euclid's elements remain universal among all mutabilities, trivia, and fate, since Euclid was right in his drawings, and about the way to count space, that any relation minimally involves three factors and attributions of concurrence: that on which the relationship is founded or based, the relationship itself, and that end or resolution at which the relationship intends or terminates.-41

 

Confucius said "only the wisest and stupidest of men never change", and between the wise and the stupid, for them in the middle proceedings, it all is three, two, one -- for codes and codex too, as much as for the others at the ends. Then there was another one, perhaps obnoxious in the techno pride of life, not so peculiar among mortals, nor even that special as difficult friends, who became famous for computers and phones and sleeping on the floor, who said "things do not have to change the world to be important".

Besides him and the reception desk at Tyrrhenian human resources, there once was a visitor to an insane asylum who had to leave at a certain time to catch the city train. His watch was stopped, so he went into the office to look at the clock there on the wall. Nobody was in the office but one of the inmates. The visitor said to him, "Is that clock correct?"

"You darn fool," said the inmate, "if that clock kept the right time, would it be here?"

 

Another day a psychiatric graduate student was interning at the old insane asylum across the river. He was walking about the grounds when he noticed one of the inmates wheeling a wheelbarrow upside down. It seemed like a painful effort.

"That's not the way to push that thing", said the student. "You've got it upside down."

"Oh, have I?" answered the lunatic, eyes flashing. "I used to push it the other way and they put bricks in it."

 

For an appreciation of the frequnecy of mortgage crisis then, or derivatives as pains and pleasure of the serpent, or menace and masonry of the Jewish gage, "we do not have to visit a madhouse to find disordered minds; our planet is the mental institution of the universe.”-42 Proof still exists for the occasional shetar, and for the once in a millenium disappearance of the most insiginificant point in space, tied or untied as loans or a documentary engine, also the property that was attached in that there trigonometry. In fact, many points of trivia and trigonometrical proofs of unimportance could disappear, as well as not matter at all. The most esoteric glyph or forgotten farm of the greatest improbability, whatever it could be, if it were found crystallized for a moment among the one and the many, among the circles and spheres, spun somewhere again in the form of the ancient curve of fate, C/D to C/D, it could yet be forgotten, and lost without a trace, like a mask and costume exchange in Chinese face changing.

Except for what is known about the three dimensions, so it goes, one truth for all, all things, and the total in space; and perish the thought if money was never better for the space involved. To explain money as knowledge none the worse for things, the centering of periodicity is such that if there were something like it everywhere always, it would have as many points as possible all the time. That would be rich, and the greatest contrast to it for a point, in such a case, would be the least of the most microscopic atomic points possible of the most minor and divided probabilities in particles of atomic existence. It may be a high and ridiculous price perhaps to speak of love, in such little things, or it may be steepest poverty between any sorts of two points, but the least of the least in particles is extensive. The anywhere as everywhere for the case always taken in between any one or all of the littlest tiniest divisions must be for something, at least one that is substantive as all the others, as at least one frequency in math is for all proportion. 

There must be the first frequency of form before and behind all the others. Therefore, if at least one straight line were possible to the greatest excellence, between the nearest and the furthest, it would appear to qualify even the form of lonely Euclid in silhouette over the void of the abyss.

 

Even with all the wheelbarrows of the world in the hands of a maniac, there is no room for a 4th dimension or any "absolute vacuum", but rather instead the evidence is of a plenum, the circle and parallel, as much as it is obvious that no two points in space or time can be separated by nothing: not without some tension of trigonometry. Et cetera quod hic venit.

 

As all numbers are round to a nib, in the sense of always remaining around the same, even close enough for place, divided by one they give themselves again, as much as divided by themselves or any other they give one. Between high and low, least or greatest, there always is at least one more even between one and zero. For there is hidden ontological proof for the least of anything, like something this-somewhat, even the littlest grain of sand or crystal, or tiniest particle of air, that may perhaps exist with any persistence at all, with even the slightest modicum of possibility between them.

 

If there is one little point of poor likelihood in frequentist inference, then there must be another. The littlest poorest one is not enough for everything of space and possibility. Even the littlest one could be smaller perhaps, since it was not always there. It was not always so before new arrival, and between them there must be more, because the two littlest atomic points are not enough for everything either, any more than any one of them alone. If there were only one of the littlest tiniest subatomic particles in a desert, how alone could it be for the involvement or noninvolvement of an equation?

The implications of an equation can be vast, of course, like existence itself, where if a crow or a raven was on a branch in the top of a tree near the bank of a river, it would be the same thing, qua qua ad infinitum. The loneliest bird vs. the littlest tiniest atom, only another issue of all the straight lines between them and whatever fine points of simple trigonometry. 

 

 

V

 

种 瓜 得 瓜, 种 豆 得 豆 (zhòng guā dé guā, zhòng dòu dé dòu) - as a man sows, so shall he reap. Since there always is continuation, a form or type in it pro rata something somewhat, pro rata something more something less, there is always something at least just a little out of reach, in existence too -- yet causes everywhere are in three, "two being the pair of contraries of which one is defintion and form, and the other is privation, and the third being the matter."(138)

As nature is a principle in the thing itself, toties quoties, if there were a 4th dimension, or some other plane like it in the works of total stupefaction, it should have been discovered by now. And perhaps it seems so, that at times it has at least for the stupidity and Einsteinian relativity involved. Since the beginning includes the end, as much as the end includes the beginning, and they both always include the middle, these are only the science of three, de trinitate narratione; but logically and universally they are enough to include everything, everything even for one, for all facts and events, and they do not include a fourth dimension.

"All events or actions throughout the universe are the result of the interaction of three forces: the positive/active, the negative/passive, and the reconciling that may be either active or passive."(284) Such principle forces also can be described as cardinal, fixed, or mutable; and no miller or mill agent, "their storehouses full, flowing out of this into that"-43, has ever discovered any trace of a 4th dimension in any seeds or grain business either. Never in any measure of the strangest mountain wheat, never in any proportion or finalization of finest warehouse flour, every sign of proportionality (and disproportionality) is always against it, as it is not found hidden within any quadruplicites or triplicities of the Zodiac, or interstellar dust. or anything else.

 

By no means witnessed in flippity flop or knuckle bones of any methods of greater inquiry, or of robust scientific procedure anywhere on Earth, not in any endeavor by trees, rocks, rivers, branches, flowers, cactuses, scorpions, desert toads, clouds, or precipitation, or hibid dewy of whatever kind, it is nowhere to be found in outer space either. Beyond low Earth orbit, or as far as the eyes can see, there is no splinter or thorn of it as such-and-such anywhere, even among all the leavening of the miseries, or empty turtle shells. Space is universal and all that the most powerful telescopes and satellites ever see is strictly in 3-D.

 

Even if under a microscope, in the old Latin mass the priest prays three times, "Domine, non sum dignus, ut intres sub tectum meum: sed tantum dic verbo, et sanabitur anima mea." Lord, I am not worthy that you should enter under my roof, but only say the word and my soul shall be healed. The soul has a roof which is its limit, and also being a habitation, having habitudes in forms and kind, it becomes an assembly completed in 3-D. The provenance of presence and procession in it is distinguished in three principle faculties in one, in the memory, understanding, and will, which correspond in some lesser parallel even with the Most Holy Trinity of Father, Son, and Holy Ghost.

Of course, to a soul, three to its own power is nine, and there are said to be nine choirs of angels. They surround and circle the throne in pattern after pattern. The cherubim's repertoire of mercy in the "Kyrie eleison, Christe eleison" is said and prayed nine times: the first trinitarian three for the Father, the second three for the Son, the last three for the Holy Ghost. They say nine is the number of patience, meditation, and harmony and represents the perfection of ideas. According to Etchegoyen, it also represents the expression of the power of the Holy Spirit.

And Christianity has for revelation that the highest doctrine is that God is alive and living well in 3-D with absolute power. Logic recognizes as well that the fundamental division or relation in ontology occurs between the infinite and the finite, and the contemplation of it must be of the very best itself, since in such an order of thought the divine naturally excels in thinking (since it is the most excellent of things) and its thinking is a thinking on thinking, which is three again in the thinking that way. Therefore, where God is infinite and 3-D on another separate total side, a total everywhere beyond all the others, He does not need anything so confusing as a 4th, 5th, or nth dimension to represent or summarize any improvements for his life or way of being, and, therefore, neither does anything else in creation. As it says in psalms, "Omnis consummationis vidi finem: latum manadatum tuum nimis. I have seen an end of all perfection: thy commandment is exceeding broad." -44

And from Sirach, "omnis sapientia a Deo Domino est, et cum illo fuit semper, et est ante aevum. Harenam maris, et pluviae guttas, et dies saeculi, quis dinumeravit? Altitudinem caeli et latitudinem terrae, et profundum abyssi, quis mensus est? Sapientiam Dei praecedentem omnia, quis investigavit? Prior omnium creata, est sapientia et intellectus prudentiae ab aevo.

All wisdom is from the Lord God above, even when it was Averroes, and hath been always with him, and is before all time. Who hath numbered the sand of the sea, and the drops of rain, and the days of the world? Who hath measured the height of heaven, and the breadth of the earth, and the depth of the abyss? Who hath searched out the wisdom of God that goeth before all things? Wisdom hath been created before all things, and the understanding of prudence from everlasting.

 

Einstein, Minkowski, and Riemann were bad mathematicians besides intellectualizing fools. The communists too felt compelled to undermine and take over mathematics, and physics, as much as theology, and that is part of the problem today. Perhaps in a macabre grotesque way a 4th or 5th dimension would be needed per convenience to hide all the dead bodies and so many international groupthink lies, lies, lies and stolen goods and money; but Dante, il Sommo Poeta, delle tre corona, had everything in 3-D circles, spheres, and bolgias, from top to bottom, and for all ultimate refinements and renditions of the committee, commission, creation players, and judgments rendered of so many mafia et mafiosi et frati poviru, et cetera.

However many realms, places, spiritual or physical conditions there may be in existence, who knows, but a reasonable Christian can know as well as any Socratic peripatetic that they are all in some process of 3-D, as much as all the sky, space, and mind: and God sees everything, all the integers, operations, and little tricks in between. Even Hesiod thought as much, that Jupiter (iudex pater) saw everything -- and it may be of interest, for etymology of words, as much as the history of astronomy, to note that the Greek words for Lord, κύριος, and space, χώρος, are closely related in sound, both for theory and practice. Since it is the business of the principle named in a word to express also the nature, as one implies the other, it seems that the Lord of space is indeed most appropriately to be called the Lord and Lord of time as well. 

 

Convertibility of terms is no accident, and Jupiter's breakthrough insight to overcome Saturn was that without the space, time is never fulfilled, neither the axle of the wheel, the needle of the thread, nor any of the figures important to history or prophecy, yet "man is like to vanity: his days pass away like a shadow"(45). Homo vanitati adsimilatus est, dies eius quasi umbra pertransiens, and the whole story, full of sorrow and pain, foolish or otherwise, is only always in 3-D. "There is a wisdom that is woe; but there is a woe that is madness," for humans in over their head for lack of understanding, and 4th or more dimensions could not add anything to it, not even for the most bitter suicide of the most difficult tragedy. 

"She learned by consoling the forlorn" was a line of graffiti from the Aeneid. "Miseris succurrere ea didicit", they said about Queen Dido, and sometimes circumstances may make it easy to be tripped up in grief, yet stubbed toes usually are among children, or the inebriated and exiled of destitution; but if anyone feels so much circumambient pain that he could die almost as easily on foot, before he hanged himself, or the tipping point would be that he cannot make it one more step forward in life, from trying to figure out what he cannot understand, a little etymology may help.

As etiology and the relation of roots, the origin of words is in the same loop, the same whirl, as the origin of things. For instance, perhaps to create for a moment a better sense of connection, a fleeting glimpse of ontology in French, espèce is species and espace is space. If there is anything for specifics in species as rudimentray and basic as pure order in kind, it has to be space, c'est on on sait et voila la la realite stem or stone beside the rivering waters.

Say on, it is we we know on the saying, c'est on sait, as any pronoun will do as well as we the thing in knowing, and they say donc or alors a lot too, in France, to express something about duration and passability in the genesis of things. Say on on to say, that is enough riverrun from swerve of shore to bend of bay, if for one subject then, then logically so for whatever other example, as they say that as what it is then either so it must be affirmed or denied of everything. And in the cards, where there is a valued awareness of location that comes to play, real estate, as a thing in the series of events, is property also called immovable, for example, immobilier, inmobiliaria, and beni immobili in French, Spanish, and Italian, et cetera.

 

 

"Pes meus stetit in directo", as well, therefore, besides the immovable immobilities, as far as the walking and talking involved for sales, the operation of forms is in any one predicate; and the Latin words for foot (pes) and hope (spes) are related for some reason too, and it does not end there. They also sound like and are related to pace, space, and peace in English -- and "spatium in pace" is a space in peace, in Latin, for another example. The influence of peace, however the pace, may begin with a smile, even if it may not last very long.

Some may enjoy the foot massage (πούς γλυκὺ ὡς μέλι), and there are the pretty pretties who would go for a foot milkbath with rose petals. Where the dove on silver pinions winged her peaceful way, there is also the circle of stars above, a circle of space around around, and some development of choice, free will, and favor flavor that happens among things. Only an act the also real, sublunar art by all means completes what nature does not finish, and nature is full of signs, some even of permanent relation.

Above or below, as much as six degrees of Venus represents about twenty-four minutes, little Charlotte was as pretty as the angels when they sing. If she was from IMDB, Internet Movie Database, or a movie poster, it was like inmodaba inmodaba, imlacrecucu, a type of immanence, inundative even, a would-be immanent flood in being so ontological. Perhaps magic was in the air, not just incantations in the glass. “If you're going to be crazy", she said again, "you have to get paid for it or else you're going to be locked up.” It was almost like she was stuck inside the TV or between a crystal and a cube. In any case, music, logic, and reruns have not changed from the stone age or since blind Homer passed away. Only a few chords a scale and then the truth comes to terms in the sequence of fifths. 

See, see there, see how the gods of the wingèd shoe would return, with the silver hounds sniffing the trace of air. Jasmine, carnelian, the hey-now and words of emotion may affect people like cause and effect. Like fancy crown moulding, chantilly egg-and-dart and fine paint in the corners, a piano for Happy Holidays and Merry Christmas, rum or bourbon eggnog, for examples, chocolate cherries and the world of ringtones and mahogany pocket doors exists within an atmosphere, cigars as much as the seasons, as do many quotes about gardening, and what to do with piles and bags of dirt or unused camouflage, et cetera. 

"If you have a garden and a library, you have everything," said the tatterdemalion old man of the village harbor and the sea. He seemed like a pencil sketch that could appear from nowhere, le passe-muraille, the passer through walls. He was like a bag of late autumn leaves, or some aluminum beer cans as old as Priam with almost all the teeth knocked out. He had stepped on a landmine in the war, and when it went off he lost a leg; the surgeon finished just above the kneecap. Besides Italy and his pipe, gnarly fingers, nutcrackers, and helicopter rides ... even the fall of Troy called it and signed it from long ago, after they had it all picked out. 

Qui vivra verra, another section patrol over the wall. The pleasure-grounds consisted in every point and half-acre to another edge of the ultimately vanishing flat Earth. Survey time will tell where patience makes the strongest vines, as everybody waits to see. Watching it all, under the arc of sky, it was like TV beauties in bows and arrows and string bikinis ... brass horns and flickering lights -- ; the sandy beaches, and, lo, the perfect image awaits in the baggage train, lighted for the apple of the eye, and with a single ear jaded science hearkens to thee. The same thing everywhere, wherever in due order and succession.

The ecstasy of gold and a partridge in the pear tree. That one and an atmosphere as well, smoky like the emanations in the many, where dabblers and the perennial and archaic community of amusements -- ancients, middles, and moderns -- signaled and claimed it too. In fact, they eye'd it, spied it, and sought it out. Some sang songs or hymns, who also liked to party, and they sighed it, cooed it, wooed it, lured it, enticed it, looped it, bunched it, and booked it. It was not so difficult to obtain, and as many as were there who had the will or the way took turns with it like fiddle faddle, lucky charms, and marshmallows. It simply was the best, and they coaxed it, hoaxed it, bought it, had it, looked at it, squeezed it, rapped it, tapped it, and passed it around. They gamed it up, issued it, played it, dealt it, gambled it, riffed it, rifled it, weighed it, risky-ed it risked it, rendered it, tendered it, traded it, rubber stamped it, wheeled it, engine'd it, greased it, lubed it, tubed it, burned the streets with it, throttled it, tightened it, gunned it, and scoped it all out.

There was catnip and advertising, exchanges in commerce, and things went further with cantrips and curious powers of transformation. Some even experienced déjà-vu, and resembling signs of levitation. Feeling good, aeribus sub tectis, like it was the first time, they nipped it, snipped it, snapped it, zapped it, shagged it, napped it, bagged it, pinched it, rolled it, smoked it, chim-chimnied it, nuked it, chummed it, toked it, tuned it, dittyed it, and took it for the Saturnine Sugarplum Fairy. There was further levity and love for sandwiches, souvenirs, beverages, and ice cream along the way, and there were drugs in the rugs and ghosts in the walls, even around the golf course, where they hooked it, sliced it, topped it, shanked it, skyed it, whiffed it, wedged it, lobbed it, drubbed it, dubbed it, tee'd it up, tweaked it, leaked it, blistered it, taped it, drilled it, nailed it, gripped it, ripped it, swung it, brung it, flung it, snaked it, lipped it, pulled it, putted it ... so carefully too -- yet pushed it, lagged it, flagged it, wagged it, wiggled it, waggled it, whimmed it, whammed it, skipped it, slipped it, slapped it, whipped it, whapped it, dinged it, danged it, donged it, beenghed it, banged it, bonged it, binged it, smacked it, dipped it, dapped it, dabbed it, mashed it, mixed it, matched it, bizzed it, buzzed it, wopped it, wacked it, thwacked it, chipped it, chubbed it, flubbed it, flipped it, flapped it, chucked it, touched it, leathered it, weathered it, gloved it, pitched it, patched it, slid it, tossed it, threw it, traced it, aced it, wrinkled it, warped it, wiffled it, waffled it, woofed it, queued it up, ribboned it, backed it, stitched it, thumbed it, fished it, fingered it, twirled it, whirled it, mipped it, manipulated it, knotted it, naughtied it, lingered it, marked it, rigged it, ragged it, raffled it, rung it up and wrung it out, washed it, foxed it, fixed it, fastened it, castered it, swiveled it, and then with a little time rediscovered it.

If it seemed perhaps strange, that things should be such a way, even to common understanding, at all events betwixt and 'tween, and on occasion like it was strange dice, from one comes all and still it was not hard to see how much they cared. "We all live in a sphere of some kind" said Balzac, and as statistical variation goes, whatever the radiation from the poles, the human activity resolves as one. Of course, like this, like that, to keep a handle it goes, almost like a mechanism, and a single house will show all that is done and suffered in the world. A cloud, an atmosphere too, in fact, prevails as much as others in existence, contorno-retorno, and then rounadabout the  troposhere. Three cheers for cause and effect, the trifling mythologies of modern society and the over-arching process; and one of them there, a plucky fool, a man who knew no fear said "all I ask is the chance to prove that money can't make me happy". And the other cried aloud, "good sirs, please to fish it up." To hear it and see it all in one thing, like that the beginning and the end, and they collateralized it for crenellations of the magic castle -- so well positioned at the markets -- and built walls in third person, booted it, hooted it, and bonded it, brewed it, aired it, cooled it, cued it, adjusted it, modeled it, attuned it, tailored it, kief boxed it for doughnuts and hemp, then syndicated it, broadcast it, scribbed it, scried it, moved it, proved it, cabbed it, screwed it, rued it, sued it, pie'd it, fried it, baked it, caked it, boiled it, almost murdered it but for formalities then still in existence and backed it off as civilities would do.

Just typical that it was in the air, everybody knew it, another something somewhat, if not like the Sun, at least the divided line and the cave. Wishing everyone the best, yet with a little more taste, Scotch and water and the better beliefs were widespread, and were tending to be authoritative. Since of relations, whatevers are something, for something too, if all referred themselves to the best, that which alone is and should be infinite in species, as such as it is, it should not be too much of a loss, for sure, that aesthetics must be and always become the finest. The finest things must exist, thus nothing prevents that which is infinite in species, even only something somewhat, from adding to the fulfillment and integrity of the comsos, or from becoming or being referred to an endless array of things, at or in any instance of three dimensions too, et cetera.

 

"Let's keep it simple", they said, if as well as that and the others. Alwaysthemore nevertheless. So be it that the geometric accounting of words goes all so well to any basket of meaning or for something like holding water in a sieve, in a plethora aeneididi didididi didi dididida, but where, o where, are the snows of yester-year? O where did they go, the snows of yester-year? Ubi sunt pars pro toto, and people and coastal foragers always like something good, is it not so in the streets today? Clam bakes, scallops, cockles, crabs, crab legs, lobsters, beer and oysters, therefore, caveat emptor, and the judges, princes, florists, credit card champions, outlet mall magnates, convenience store dragons, fat men and lords of dump trucks, and independent contractors, movie moguls, and little photographers of the land cupped it in the blink of an eye, and honey-bee'd it like tinkerbells and fairies of the forest, and tabled it, tipped it, kissed it, tippled it, toppled it, tickled it, twisted it, soothed it, soaked it, steeped it, coiled it, whiled it, whirled it, thonged it, tonged it, monged it, thwapped it, sponged it, curled it, squirreled it, ditched it but came back for it, and adored it, snored it, kept it, adorned it, fondled it, fessled it, festooned it, whispered it, swayed it, played it again, crushed it, rushed it, swarmed it, measured it, lined it up, creamed it, grilled it, pumped it, plugged it, pflugged it, fugued it, pflugued, piped it, pipped it, squeaked it, drummed it for flocks and snake oil, tackled it, tussled it, muscled it, oiled it, stretched it, stretched it out,  stretched it again, walked it, talked it, knickered it, snickered it, snuck it, snookered it, danced it, pranced it, lanced it, stood on one leg with it like fairies and marmots at the ballet, knocked it over and broke it, toasted it, roasted it, mosted it for the one greatest relation, esteemed it inestimable estimatedly, feasted it, embraced it and stumbled it bumbled it repeatedly, smashed it, dropped it, picked it up, drove it around, peckered it, poker'd it, puckered it, smuckered it, smooched it, spanked it, stroked it, poked it, stoked it, dibbled it, doodled it, diddled it, nibbled it, piddled it, paddled it, knuckled it, bruised it, injured it, tainted it, poisoned it, pickled it, valued it, carded it, and couponed it.

The thing and experience would never tire from exhaustion. At times there was suddenly a great knocking at the door, as of revellers and mummeries, and the sound of a flute-girl was heard like sparks and rays, and there was a surprising castle and drove of cattle by the way in Scotland, in lightest rain, where the rubric guided them further. Like snowy swans in misting clouds, on past the rilling brooks, past the woodshop router tables and bench grinders, the aluminum beer cans and soda machines, there were butterballs in hot biscuits and blueberry muffins, baked apples and hot honey buns aux aumandes, and they ate them all like hams at harvest time, and fermented it, aged it, distilled it, and bottled it. Callida junctura of it all, and the theory of finest containment, as a middle or the middle of all things, like gemstone works and Euclid's greatest prime, the most excellent ascent from the ways and means, and they biddled it, middled it, smiddled it, smaddled it, whittled it, waddled it, wobbled it, battled it, corked it, smoldered it, sold it, uncorked it, corked it and uncorked it again, muddled it, fuddled it, puddled it, muddied it, zugzwanged it, wanged it, hounded it, pounded it, pommeled it, pummeled it, funneled it, fumbled it, shook it, estopped it, zoned it, paved it, coned it, bumped it, stumped it, thumped it, hustled it, lassoed it, roped it, doped it, tied it up, knotted it, enjoined it, admonished it, exorcised it for demons, misfortune, and spiritual whatnots, steamrolled it, kicked it, kitchened it, cooked it, mingled it, cherished it, brushed it, painted it, sketched it, kinko'd it with frames and paper, wickered it in baskets, crocheted it, detailed it, treasured it, analyzed it, feminized it, spoiled it, fiddled it, riddled it, puzzled it, folded it, molded it, lumped it, papier-mâchéd it, plastered it and sculpted it very much good, then sponsored it again, spooned it, forked it, cut it, sawed it, carved it, hammered it, buttoned it, burned it, bummed it, and bundled it for comfies.

They hallowed it with incense and related it for all. There was a crafty peculiar scent like roses and cinnamon aux muscade, with briney artemia of sea salt, over bananas, tequila caramel, brown sugar and bacon, that arose in the evening air. They snoozed it, sniffed it, smelled it, wanted it, sneezed it, hankered it, fancied it, craved it, nudged it, smudged it, convoluted it, lapped it, knobbed it, rubbed it, retuned it, turned it around, and wiped it off. Then they almost disavowed it and wanted to return it, like everything went wrong at once, and the expensive bone china had hit the floor, but the flavor and aroma were still there, beyond special adjournments and exoteric/esoteric proceedings; and they hitched it, scratched it, kinked it, toe'd it, knee'd it, toe'd it, bit it, tasted it, savored it, favored it, chewed it, spewed it, consumed it, licked their chops over it, and cleaned the plate.

The accountants from Tuddles and Tuttles examined the books, accidentally found abandoned in the shed, remote yet not too far from the markets, as many looked to see what it was. As if it was corporate again with more news about news, or like other companies manufactured in corrugated waves, in tin roofing or iron, also steel or at times like QVC perfumes, or some quintessence of bubbly in the mind, it did register a sound, like there was a well or studio in the background, a deeper pattern in communication of everything, and the sense of many voices lingered, et les amis myriades et anonymes de tout le monde. It was another top to cap a community seal, appetitive apetitoso, so high for coffee cakes too, that could be made perfect and sweet across the face of the Earth.

The women raved and wanted it for a fashion sequence on TV, and dressed it up with flavors of effervescence. Like quality value convenience can go a long way for divas, fatto di bambole, and some may want to be Italian even if they are not, yet only another science joke lipped and tipped on the tip of the tungsten, they petted it, patted it, hugged it, bibbed it, babbed it, babied it, powdered it, floured it, flowered it, snugged it, jostled it, loved it, dolled it, dollied it and laughed like dilly boppers to all the cheeks upper and lower, wintered it, cuddled it, cottoned it, ooo liked it and wrapped it up in blankets and slept with it.

Let the heavens take care of the rest, as corny as things can be, collydirem capiunt, the circling hours' yin and yang, la et le, el y ella, then karma and procul harum in a whiter shade of pale, et cetera. The elves sang to it with laurels, and they all smiled and buddied it, befriended and friended it, birdied it, cutied it, wished-and-welled it, kissed it lightly, and then with illustrious pretensions of honor defended almost all the truly awkward relations.

If any exhaustive list des sottises des imbéciles (utter nonsense des gubbies et comme dans commie gubbaments) would suffice, they wined it, dined it, and cheered it as convivialities. The propinquity was there and vast as one went further into it, even as some terrestrial solemnity, as liquor cabinets too d'aisance and tangential palpitations were also in the course. Then there was a somewhat foreseen forewarned demand for consummation salmigondis saltimbanquettes, a salmon leapo in the air and engulfed, it was like dancing with the stars, and then the said improvements in exchange ... of household monies or any better valuables, and so mired in it that they wedded it and caroled it like an indemnity, then cheated on it at least once or twice or until they lost count, cheaters buttered it, ravished it, ode-to-joyed for it and wrote it all out for a formula and returning dividend, and could not count all the ways that they could not live without it, nor reckon too wisely how they could neither fit it all in, even if they remembered everything from beginning to end. It seemed all the verbs, herbs, and verve possible, or everything to do, and everything that could be wanted or made to be shared in some way, had a touch of kismet, as much as there was a word for everything and a sphere in its place: and they thereof did eat also the golden apple of discord, the juicy giant dreamy melon, sumptuous as it was, dirty too, hidden in the scheme of things, μῆλον τῆς Ἔριδος, and fell off the way and off the cliffs as stoned as warehouse trucks and forklifts all heavy and full in crates of calvados.

 

 

With not a single other word, that anybody else could not have added to it, the sublunar survivors wondered is it ever good when people say too much? Any bon mot is always welcome, as fitting, as any ratios always combine, of course, yet maybe there is an inferiority to the greater sense of silence, and if it made them sick or caused bad posture, for all the admixture of activities in time and space, they never knew it for the obsessions, for they were consumed, and then there was at another distant time the otherwise obscure occurrence of the utter destruction of Carthage, that followed in the seasons and train of Rome. The famed City of Seven Hills, all by reason and the force of Jupiter, of course, the empire and sway which reason and the power of light holds over the senses, as the logic that comes from the stone age, in fact, is still good: as good as animal cookies or the Encomium of Helen, for example, or the punishing salt and fire on the Tunisian plain. 

Steve McQueen the King of Cool was not there, to see it and call it like it is or as it was -- Q.E.D. quod erat demonstandum, to dramatize the popcorn effect for Hollywoods, of course, but any injury or statement may be universal by interpretation not only comparison, not only indifferent or particular. As "Hell Is for Heroes", and "Carthago delenda est", et cetera, they say Suzanne Pleshette was really after Steve but that was a phase before Newhart.

"You sell whatever you want, but don't sell it here tonight," he said. The flames were climbing higher and higher up into the night.

"Quo vadis"? they asked. "Where are you going"?

Ducunt volentem fata, nolentem trahunt. Fate leads the willing, the unwilling it drags. The prudence and glory of the city is the courage of a beauty and the wisdom to know it and say it.

 

As much as that as all series codes and the total concept of all illusion or illustration, with any other thoughts or feelings of such things, the one is before the many, also in reference to divinities, as art and nature play the ends. Yul Brynner's bald head, for example, was also famous in its own degree, in similarity to a cue ball. Vive la bagatelle and the break, and cruel logic likewise is what all scientists must use since it simply is the best. "Le miracle est logique, et même banal, en ce qu'il dévoile la suprématie de l'inventeur sur son invention, du moteur sur la machine, de la cause sur ses effets."-46 The miracle is logic, if commonplace the same, for it reveals the dominion of inventor over invention, of motor over machine, of cause over the effects.

 

When something is right and simple, it should have enough steam to fill the plenum, even if only a little along the way, just a touch at least, like the dream of Scipio or pickleball at Mt. Shasta. If instead something is doomed by complication like Salammbo and Carthage, it is just the way that it is and everybody knows it. Like Manilius Marcus Atilius Regulus and the fates, or Tom Petty and the Heartbreakers, where one moment plays for many in a continuum of sense and feeling, the truth is one even where cringe-worthy. The great sign in narration hovering over the abyss of the all-inclusive through the days, in it there is no place for progress, not beyond the exhalation of one in three. It was already there except where a question of material inventions is introduced, some development of artifice and craftsmanship, et cetera, as the things in themselves are the same as the numbers, "there being nothing older than the truth".-47

 

"Besides, in a centered mind, it signifies nothing how many mechanical inventions you exhibit. Though you add millions, and never so surprising, the fact of mechanics has not gained a grain’s weight. The spiritual fact remains unalterable, by many or by few particulars; as no mountain is of any appreciable height to break the curve of the sphere."-48 However far gadgets may advance and multiply, the mechanical arts and technology do not change the ontological and transcendent reality of the truth nor its immanent logic. They merely reveal more of it in different and little ways, and none of them show any signs of a 4th dimension in space or time.

 

Si l'espine non pique quand nai,
A peine pique jamai

If a thorn pricks not at its birth,
It will hardly prick at all

Quod ab initio non valet, in tractu temporis non convalescit. That which is not good in the beginning, no length of time can make good.

If something like the so-called 4th dimension was not inchoate in the math and logic of potential things, it never will be developed in them later. Even when it takes a long time to figure out the correct solution, what is true was already so from the origin. What comes out of the seed is what was in it, and all work is as seed sown; it grows and spreads, and sows itself anew; and one only fools himself when he seeds badly.

 

 

VI

 

Only to sketch the greatest correspondence in continuation of a thing, as left is relative to right, and right to left, as up is relative to down, down to up, and front the way that it is to back as back to front, and the middle always there for total relativity in the midst, as a simple count of seven in between, and then the next step whichever direction it goes, to make an octave for space and the way to the door. There are only six opposite directions in or out of all knots, in or out of all rooms, therefore, Cavendish should more accurately have used the arcane number 6 instead of 6.754 in his magic formula equation for Big G. After all, so-called Newtonian gravity is merely coextensive to a cube, as a math thing whatever, or whatever other figure could be present in a sphere: not quite a thing virtute sicut suppellectilum, yet it would be as coextensive as the attribute of being at least, to be as universal as space and object, that science also may call divisible by one, by natural weight in virtue of elemental compression too, yet not innate to matter and not the shine or buff. 

Even if some elementals escape observation, every event or operation is inevitably linked to others, even like space, so that one thing cannot occur without the rest. The many repetitions of three dimensions, for example, of any two perpendicular planes, that range in six overall cosmic directions, form the universal background for gravity, a formula situation for space too even more than the things. To keep it simple, therefore, 3 x 2 = 6, for Galileo to wring water and biscuits from a flint rock in the lab, or by special design of marbles and laboratory ramps; and there would be Big “G” 6.0 and little “g”(9.8)

This much can be discovered too by anybody with some golf balls, a putter, a pack of cigarettes, or little bags of Doritos. With as much to think about as Boethius or Montaigne, there is as much to discover as with any torsion balance or atomic interferometer.

An interferential refractometer can be another awkward thing to carry, besides not being the subject of many pop songs, but "rotam volubili orbe versare", turning the wheel of fortune as swifltly as she pleases, the chances go round. Twists and turns, if whatever the final balance, and so-called gravity is not even a lateral or vertical force. From one end of the business to all the others, for all the locks and keys, it is not, in fact, a force of any practical or significant measure in real physics; and there is not a 4th dimension in it to speak of and make sense out of the six principle cosmic directions. Therefore, in the question of which space subtends, gravity does not have anywhere to hide, not more than by the barrels or the carts, yet there is no where that it can be found beyond any extension in time.

Geometry never tires and geometry never sleeps, and how it may help to solve a crime, as between the mind and the world what a difference one little figure can make. LBJ once gave a speech in which he expressed concern about the growing powers of "the masters of infinity". He said "control of space means control of the world. There is something more important than the ultimate weapon, and that is the ultimate position: the position of total control over Earth that lies somewhere in outer space."

Hoo eee, cause and effect and the right angle to play, since in natural units, for the multiplication of experience, it is convenient to set Big "G" equal to 1 anyway. The formula for universal gravity can be as simple as 6 x 1/ 6 x 1 = 1, and divide by one as often as needed to resolve all things as well as the principle of universal proportion. To check the proof for the masters of infinity, where phenomena come and go, relatio secundum esse, going in and out, a unified duality of two sixes in one* appears like snake eyes, that could be facing each other in dice or the zodiac. There is always such a side to things and beyond, as one six goes for this side, one for that, for all about the line and the circle.

Some call it dodekomachy, others heptomachy, others still owtomachy or owlomachy, yet others may deny that things should be so simple, too simple and repetitive, and rather insist they will never stop being more complicated: that there is a 4th dimension, and Minkowski, Einstein, Carl Sagan and the others were not enumerating fools: but they will never find any proof, and they will only go round and round in circles ... ad infinitum in 3-D ... 

As much as a headache consists in the form of pain, the thing in the measure, there are three principle ways to define something somewhat, whether again or not. As by the thing itself is what comes first, and what it is like for sameness or any parallel of comparison is second, and what it does is third, as they say to what end, so it goes that the universal seed of logic in the syllogism is strictly 3-D.

Like the arc of the rainbow, representing a sign of magnitude that remains unsurpassed(49), "every syllogism is effected by means of three terms", in the two propositions, as the major and minor premise, and the conclusion in the overall effects. There are three types of syllogism where the two propositions and the conclusion are always qualified by their significance in three parts: the subject term, the predicate term, and the copula, e.g. the dynamic. The qualification of extent by the quantifier is also three dimensional. When one reasons well, if the premises of the argument are true, it will be impossible for the conclusion to be false, and there never appears an undermining divergence, not from 4th or more dimensions to spoil any of the salt.

More or less, as so or like so, to touch all in reference at once again, even as often as things may spoil, from bad influence going bad, it is the same evidence again, that what was once good is no longer so, but has become erringly otherwise, and that there is not a recognizable 4th dimension to help explain it. A maxim of the Stoics was that "a kind act is made up of three parts: firstly, the giver's, secondly the recipient's, and thirdly the rewarder's; and that the recipient amply rewards the giver if he willingly accepts the gift and keeps it perpetually in his memory."-50

 

Universal congeniality would be so sweet like everything the sort, in life as much as drama or acting, as much as happy cookie cooker identification in thinker thinking thought. 善 有 善 报 (shàn yǒu shàn bào), do well and have well, they say by the seasons in China. Understanding the best in itself and of itself is marvelous; and if it endures, it is even more marvelous, and so many things come in three's, on land, on water, and in the air, that they cannot all be counted any more than the wind. For example, Don Quixote made three sallies to conquer the world and set things aright, even to the back of beyond, and as he said, "geometry puts this truth beyond all doubt".

He was so ingenious there was nothing he could not make, no knick-knack he could not manufacture, even in particular to the finest birdcages and toothpicks. As he observed, besides imagination, the three acts of the mind are in apprehension, judgment, and reasoning, and the ancient philosophers were agreed as well as him that philosophy has three sorts of inquiry in physics, logic, and ethics, which sometimes were also labeled the natural, rational, and moral. And there are three requisites to start if an artist wants to produce something, in the natural gift, education, and practice. And nobody with any sense hestitates to admit either that there is indeed some cause in and of being, some norm in knowing, and some aim in living.

The universal way of diplomacy, negotiation, and 20 Questions is always three, in person, place, or thing; and all of argumentation and arbitration to follow, whether from high or low, left or right, is only validation of three kinds, in demonstrations, proofs, and probabilities. -51 "Nature is an endless combination and repetition of very few laws. She hums the old well-known air through innumerable variations,"(52) and as well there are three primary colors in summary of light and dark. As much as music is kin to math, there are three universal functions in the circle over it all, in sine, cosine, and tangent, and three kinds of waves that follow: and three again for transverse, longitudinal, and surface: and three again in matter, electromagnetic, and mechanical.

Like photosynthesis, osmosis, and the channel circuits of the mail, the meaning of a sign has a general mode of being superior to its particular instances. The meaning of life is greater than plants and the alphabet, and the implication consists as well in a triadic relation over and above the three individual terms: for example, sign-vehicle, signified, and interpretant also as referent in the thing that it connects. The immanence of sign of relation is in virtue of the essential course, and likewise there are only three orders of cause in nature that follow in the efficient, coincidental, and accidental.

If Emerson is to be read at school for those would put the world under the mind for verb and noun, it all boils down to subject, verb, and compliment for the experience of why, besides what and how. They used to say that the practice of the usage in grammar, "which rules even kings", provides the foundation of all knowledge in meaning and direction. There is the subject and predicate of cause and effect, with the verbal process and connection between them for the third part. The eight parts of speech are an octave like school in the first three of noun, verb, and predicate modifier; and the first one there, the noun, really accounts for all the others, as everything is a thing, something to follow "it" if not be "it", and then there are three basic kinds of conjunctions.

So it goes, and "the structure of every sentence is a lesson in logic" and a virtual exercise in 3-D.-53 As much as in logic as in chess, and all other sports, the three most important elements are time, space, and material; and there are only as many as three ways for any king to find an escape from checkmate. He can move to a safe square where he cannot be captured, or he can block the check by interposition, or he can capture the enemy piece. And a king cannot castle into check, in check, or through check, another three as no's.

 

 

 

Aristotle said that there were three objects of choice and three of avoidance, the noble, the advantageous, the pleasant, and their contraries, the base, the injurious, the painful; and a short presentation of a list of all things that are in three parts, and also that are one, would include an introduction, a body, and a conclusion, like every speech, and that as much as any motion has an introduction, a body, and a conclusion too. As the philosopher taught rhetoric, "in making a speech one must study three points: first, the means of producing persuasion; second, the language; third the proper arrangement of the various parts of the speech."   

Besides speech, conversation, the news, and telling stories and great big lies, people often make do with lists. Lists may be as universal as gossip, and it is such a common experience to list things that Umberto Eco said in his opinion that "the list is the origin of culture. It is part of the history of art and literature". By some design in the numbers then, lists create a framework, as much as they inhabit the memory, and represent a figure of direction within the understanding. Eco even expressed the strange opinion that people "like lists because we do not want to die," and no one wants to die. No one in his right mind who knows there is no 4th dimension, and even people who want to go to Heaven do not want to die to get there.

Any realizable conditions whatever and all appearances due to reflection and colors are complete in three dimensions. As three completes the series of colors and reflection, so it is discovered as well that three also does the trick in the circle of most other things, hence also the rainbow appears with three colors.

 

 

If not once or twice, the third time is a charm, as many go back and forth, as knowledge would increase, and so many things come in three's. Like the celestine trifecta, as in intelligent communication and grammar there is first, second, and third person, which are enough for all cases of voice, whether in singular or plural; and there is only past, present, and future in time, of course, like yesterday, today, and tomorrow. "Of necessity the past gives way to the future, and the present is but a fleeting instant joining the former with the latter. This is a fact, a motion, a law ..." and people should not regard it in itself as too much an evil that everything passes away.-55 

Time is time was roundly waiting at every doorstep, tapping as many foreheads as the minutes and the hours, hanging from mirrors, rattling beer bottles and tea cups, suspended on cigarettes, and the contemplative mind has its future within its sphere from only three root faculties of memory, understanding, and will, that go round and round in circles, three for one, and then the two feet that walk in between one and another.

 

The three parts of an ideal paragraph are a topic sentence, supporting sentences, and a concluding sentence, and the mind works by three degrees when it intellectually perceives a subject. There is the subject, the faculty of perception, and the objective contemplation in consideration that proceeds from them both. Another way to say it is that in a name, word, or number that fructifies in the mind there are three parts of cognitive awareness in virtue of the denomination, perception, and recollection. And in Christianity, all blessings, prayers, and the greatest happiness of eternal life (perpetua capiamus gaudia vitae, etc.) are in three dimensions: in the name of the Father, and of the Son, and of the Holy Ghost. In theology, there are three levels of activity in the natural, preternatural, and supernatural and none can escape the Trinity, and the trivium of classical education follows the pattern too by grammar, logic, and rhetoric, et cetera.

Clostridio Bucalino, always testing the funnel, as well as the question of label and side, to discover whatever could be said of so much variety in the same thing, wrote in the "Encyclopaedia Confiteor Confundatii Fundibulo" that "in statistics it is all about mean, median, and mode as much as every statistic is within a circle. The symbol of totality is always a circle. ofcourse. Therefore, averages are signs from Heaven and things higher up, and God almighty is three in one, having all perspective at once. So it goes for all purposes of information and spying."

"Therefore, when the mind knows itself and loves itself, there remains a trinity, that is the mind, love, and knowledge." And the mind here in such a case is accepted not simply for the soul, "but for that which is the more excellent in the soul."-56

 

 

Every sphere and vision in the cosmos as much as every word is excellent enough in 3-D. In physics and science, there are only three key parts in time, space, and energy. All mathematical formulas of algebra, calculus, and geometry are in 3-D, treating form, matter, and place, and as proportional to one register as only three dimensions can be. "Every positive integer is representable as a sum of at most three triangular numbers," too-57 and everything in existence and existence itself can be represented or resolved by at least that and another factor of one. As well, there are only three parts to any financial position: assets, liabilities, and owner's equity. 

Things can be good or bad or a mixture of both, and there is not any pattern of increase or road to infinity that has a 4th dimension and also with logic. As logic is the same as everything else, for instance, imagine that hidden in the Great Smoky Mountains not far from Lost Cave, Tennessee, or the timeshares in Gatlinburg, there is an infinitely long bridge about three feet wide made from dark wooden planks taken from the devil's own most complex mill. As the odd rabbit or two comes hopping along to pass along the way, a scientist stops and takes a saw and begins cutting from the bridge many identical little cubes. Since the bridge is infinitely long, winding into the abyss, an infinite number of cubes can be cut from it. On and on it goes, with the Ivy League mathematicians counting mountains of rich and richer tiny cubes.

The eerie devil's mill bridge into infinity made from wooden planks does not take up much room in the small steps; only units it goes, yet foot by foot -- by foot, claw, or hoof -- on it goes into the creepiness forever; and the dark black cubes go higher and higher still. Perhaps a wicked hush communicates itself where there is no end in sight, but being only three feet wide, even little people and many illegal Mexicans, trying to escape the long arm of Donald Trump, could easily hop across, or fall off even if only by a fifth if not so careful.

Still, if as many little cubes as possible were cut from the bridge, someone could begin to fill the universe with them. Since the bridge is infinite, going on and on and on, an infinite number of cubes could be cut from it, and with time they could fill up the entire universe. All that would be needed is to put a small cube first in a red wheelbarrow at the park, and then over and over again, the same process building a bigger cube over and around it everywhere. Watch it go and the little cubes will bury the wheelbarrow and everything in sight.

Eventually the agglomeration of cubes would become colossal, so precipitatious as to fill the whole cosmos completely, and there would be no 4th dimension anywhere in any of it, not in any reaction of the abundance, and no room for anything else. What could not fit in it could not fit in anywhere else either, even for a tricky old snake, unless he was already hidden in the pile.

 

Nec plus ultra, nothing further beyond, except for infinity beyond all device, and all by three in one ... three in one. This side, that side, and the other, as much as billions and trillions of dollars in China; if the geometry experiment descends into the abyss or ascends to the stars, the way of gains and losses, accomplishments or failures, follows a path set in 3-D. The most colossal cube could be contained within a cosmic sphere of the greatest size, like a balloon that contained every other geometric figure and every possibility, yet no where within any of it would there be any trace of a 4th dimension.*  

 

Even if there are magicians or strange other-worldly beings who can make themselves disappear, then reappear, materializing out of nowhere and thin air, then passing through walls, what does that mean except that they do not go in and out of a 4th dimension? For all the invisible powers of invisibilities, whatever they could be, still evoke universal proportion when things are finally revealed, and they always come through and manifest in 3-D. Whatever the something else unseen within a trick may be, perhaps something preternatural or supernatural even, however mysteriously weird, all magic circles about within 3-D, since it is the beginning and end of all unification.

Like the atomic theory of H20, that water appears out of thin air, yet only for atoms of a certain kind in the limit, in substance there are three parts to a magic trick. As Cutter in "The Prestige" said, “Every great magic trick consists of three parts or acts. The first part is called 'The Pledge'. The magician shows you something ordinary: a deck of cards, a bird or a man. He shows you this object. Perhaps he asks you to inspect it to see if it is indeed real, unaltered, normal. But of course ... it probably isn't.

The second act is called 'The Turn'. The magician takes the ordinary something and makes it do something extraordinary. Now you're looking for the secret ... but you won't find it, because of course you're not really looking. You don't really want to know. You want to be fooled. But you wouldn't clap yet. Because making something disappear isn't enough; you have to bring it back.

That's why every magic trick has a third act, the hardest part, the part we call 'The Prestige'.”

And without some smoke and fire at least now and then, magic would not be the same, and by coincidence the components of the fire triangle are three: oxygen, heat, and fuel.

Old school Aristotelian entelechia is a simple three-ring circus too, of origin, effciency, and end; and some philopsophers say the mind is also like a fire, and the three components of transcendentalism combine aspects of the intellectual, the aesthetic, and the spiritual. In a similar way, all useful energy is a simple network of three parts in the generator, the transmission, and the grid, and so on. 

 

VII

 

On the road again, et inter diaboli aequor (between so many devils the same, whether or between the devil and the deep) adding to the distance traveled, to reduce or increase the number away, for the same inversion in the between, there is still no contact among numbers only succession. Therefore, as infinity is the same trope for all places, whether the all near or far away, there is always at least one such and such a place where the operation becomes immanent and transcendent and the most commonplace key.

Besides Santa Claus off-the-grid, there are a good many things that go around in the dark, and one old-time observation that may have been forgotten is that there are only three things that God does not know:

1. what a Jesuit is actually thinking
2. how many different orders of nuns there are
3. and how much money the Franciscans have

 

 

Besides probabilities, there are three possibilities or equiviocations in things, of course, since of the possible there are those that happen more often than not, those that happen less often than not, and  those that remain in the balance with equal chances of happening. So it goes, sensus sensuum infectui, quemadmodum dulcis pro patria labor. Keep-a-going, therefore, and there were three mysterious visitors to Abraham too. As the three theological virtues of Christian religion are faith, hope, and charity, the three purposes of any house are stability, prosperity, and happiness, and the three basic functions of money are as medium of exchange, measure of value, and store of wealth, and so forth, bling bling bling. 

If it is so, as a matter of presence, in or between subject and object, and it would be reckoned that irony should not be wasted on the slow or poor, not the rich and speedy either, there are still many people like Buttercup, who may think all the world could go to Hell, but she should always have her coffee or tea.

 

There are three ways in method and mystery of a curve around or to miss a point, in up, up and above or downy and away below or right in the middle middles of all whatever else that would cycle points or positions between, as nature itself becomes a little more like that, as what it is of what it is, talis qualis tantum, if anybody really needs to see what is going on as much as the verdi facts for themselves.

 

 

If a good and cheerful soul would be a little temple of prayer, and good works, for time on the vine and contemplation, then also for 3-D, with little wingèd friends, in the spirit flying, in-and-about, too-da-loo too-da-loo, in light and air of voice and vision, tibi-tibi-tibi. So it goes, where by faith, wise counsel, and understanding, Das Dingus an Sichus, the thing as an operation of intelligence, may cultivate the breadth, length, and height of that sense of betterments and buttermints or butterscotch which surpasses all knowledge. Even among the cherubim, dominions, and powers, little elves and fairies like Tinkerbell only want peace, that the spirits and roots of admirable animation and kindest memories may be enriched even to the life of happiness in the Trinity. "To dream the impossible dream", of course, is something more than for a mere demi-puppet crooner, to calm the heart and hear the solemn curfew, and not fall away into the dreadful abysss far below.

Like the myth of Er, where St. Paul mentions "depth", as depth of admiration in Ephesians, he does not mean a 4th dimension, certainly not, but only a magnitude of grace and increase to the everlasting realm in 3-D ... in nomine Patris et Filii et Spiritus Sancti, et cetera. Destiny may be hard to judge for size and attainment, but the Bible never mentions a 4th dimension in any way, shape, or form. There was not one in the pillar of fire or the pillar of cloud or parting of the Red Sea; there was not one in any flash of lightning from storm, thunder, or smoke; and Moses never saw one in the burning bush, or in the wiles of Pharaoh and his magicians, or in all the distresses and arcane trivia of Egypt.

By nature and all the greatest brains and lungs of leviathan, and the ascension of the ancient Dog Star in the sky, the Egyptians could not find any 4th or 5th dimension either, not for all the troubles of the flooding along the Nile in the seasons, or all the plagues and everything else that could go wrong.

 

So it goes, and everyone reckons by three laws of thought, as Averroes maintainted also that in conjunction function there is a triple character in each intellect that includes three conditons and three effects.

Plato taught that there were three principle faculties within the sphere of a human soul in the appetitive, rational, and the spirited, and Aristotle recognized essentially the same thing. Since whatever there is of motion is a question of animation, virtue, and assimilation, the Platonic theory of the soul (Latin "anima", soul, breath) is not so different from the classical theory of impetus, momentum, and motivation based on potential and actual forces, et cetera. Specific animation and actualization in the instance by design in virtue of assimilating cause and effect or accomodation explain the world of motion better than Newtonian "gravity".

The Platonic concept of the soul as the animating force with three faculties in one (rational, appetitive, and spiritual) parallels the genesis of other forces and elements in nature that are also animated in terms of virtue, structure, and assimilation. In terms of the real material world of physics, the patterns or designs that are present in elemental structures, and the dispositions of potential motion, and actualizations of force, would be like the rational, appetitive, and spirited: for example, like a car, the key, and the ignition, etc.

 

 

Such intelligence as an automobile, of course, like any circle in a sphere, also represents the importance of background and structure. Besides the overall attributes of animated forces, which are three, in more or less and whatever likeness, in one cosmos of wheels, many more things are organized in three for one, and one for three to be perfect. For example, the three basic areas of sound driving are found in decisiveness, communication of intention, and vision; and in piloting a plane, there are only pitch, yaw, and roll.

 

So it goes, tout de même, nous semons a tout vent, and the three basic steps in the printmaking process are creating the printing plate, inking the plate, then transferring the image to the plate, and the three basic parts of a firearm are the action, stock, and barrel. The elbow also has three parts in one, in humerus, ulna, radius, and without the agony, or agonas, αγκώνας, the Greek word for elbow, where would be the grease or the pain? If it were to not even know for a shade something as useful by nature as the elbow, persolvere persolvitur, summa ratio est quae pro religione facit, spirans spirantium, et salus populi suprema lex.

The three basic parts of the calendar and its astronomy are the Earth, Sun, and Moon; and the three basic particles of subatomic theory are neutrons, electrons, and protons. The three parts of life are genesis, growth, and nutrition, where the three main parts of a cell are cell membrane, nucleus, and cytoplasm. The three main parts of a plant are roots, stems, and leaves; and the three main parts of a neuron are cell body, axon, and dendrites; and three main parts of a brain are cerebrum, cerebellum, and brain stem. The three main parts of education are the three r’s, reading, writing, and arithmetic, and so it goes ad infinitum.

 

As space is a reflection of nature and the math, for a few more provisions, the three main parts of a sphere are radius, circumference, and volume. The three main parts of geometry are length, width, and height; and the three main parts in duality of a cube are front and back, the sides, and top and bottom; and the three extrinsic parts of a rhetorical situation are the issue of exigence, the audience, and the set of constraints.

It is not all gold that glitters, yet "we can speak and think only of what exists", and a thesis statement likewise has three main parts: the limited subject, the precise opinion, and the blueprint of reasons. The human figure is composed of head, torso, and limbs, and the goodness of a moral act is determined by three elements in object, intention, and circumstances. In business the three forms of work are manufacturing, service, and merchandising; and for all the math to assess everything, there are the equalities, inequalities, and functions.

In acting, the portrayal is carried out in three main vehicles of voice, body, and imagination; and out of all the repetition of so many things in three's, and out of all kinds of increase or decrease and tool boxes, et cetera, there is no room or angle for a 4th dimension. And time is not from a 4th dimension either, of course, since if anything is truly universal it annihilates anything that would be its opposite. If the 4th dimension were universal like time, or time were a separate zone from space, the what of it would be mathematically sound for its solution, like three dimensions again and one. Being mathematically sound is quite a thing, to be universal as a button, and then it would have something in common, like the present, something in common with so many other things. It simply would annihilate its contradiction in any parallel of time and place, but it never does, as much as it never even makes a schedule.

There is no schedule to keep or anything to work or see that needs a 4th dimension; and time is not independent of space, as much as vertical is not independent of horizontal. As cause and effect and the inversions go like a wheel, the extent of any figure shows that space and time cannot be separated. Every one has its others, where time is always three and one in past, present, and future, as time necessitates space, since the events of operation must have some way and somewhere to be, for there to be that relation of a thing, as much as space necessitates time, as much as two points in time, like two points in space, cannot be separated by nothing.

Better than the infinite regress, there is always some kind of tension or balance between them. Such things, if it is some kind of presence or procession, even only simple gestures, we have time because everything cannot happen at the same time, and we have space because everything cannot happen in the same place. If salt is for some kind of energy in the third wave, for example, like the salty sea or whatever else works like a battery, natural motion then, as a solution, is not and cannot be instantaneous. Like big fish compared with little fish, as the instance of size is also species or whatever question, it is not because of Newtonian gravitation or a 4th dimension that there is a difference, and there is not any time or space without some associate property of energy, however subtle or rarefied, et cetera.

In the fragments of Book III, Chapter VII, Volume I of Bucalemo Niinor's "Tractatus Latior", regarding construction, continuation, and simplicity of a side, he writes, "as this one and the rest of them, as well as all of them before and after, and all the others, as well as the unknown code, must be on one side or the other, therefore, the algorithm of the greatest all parallel must exist, and its sphere of universal proportion." And it is just here in the sense of parallel, as any circle of this relates to any circle of that, that the 4th dimension fails, since it does not have any such side or sequence sense in placement.

In the statistical ethymeme from most to least, and always at least one side, he writes almost prophetically, that "never too much, it is as far away from one side as from the other, when from the middle perridapipoes in two's; and always from the middle, the scale will find some resolution, even when to infinity, so it goes; therefore, as there are so many divisions in time and space, from most to least, and least to most, moderation is as great a virtue as any key."

Somewhat like the "miraculum orbis universali" mentioned in other hard to understand ancient texts, in Book IV, Chapter III, Volume II, in the description about the light that quickens and warms the window, it seems that if there were any justifiable proof for the 4th dimension, and so forth, Bucalemo would have found it, since he was so thorough, as it must be that it is on one side or the other of any extensive system of possibility at all. Yet since it never is simply on one side or the other, and never so clear for parallel, it must never be anywhere.

Even when it came to the talking trees of the groves of Jupiter of the Dalmatian coast, the ancients reckoned that simplicity has never been seen to be wrong, certainly not when well applied, and Dante's "Divine Comedy" is one vast convention resolved in three parts: the Inferno, Purgatorio, and Paridisio, and every circle, bolgia, and sphere of whatever at whatever level, from top to bottom in the book, is according to its way in 3-D. Even the egregious hoax of Foucault’s pendulum, which supposedly would present discovery of a heliocentric bridge into infinity, by division from zero at the equator -- also with a hidden gyroscope in the fixed plane of cosmic oscillation -- even it as such a thing like that has never given any sign of a 4th dimension. Therefore, the 4th dimension is merely stroboscopic fantasy, like such a contraption at the equator that would be detailing infinity à l'envers for penguins, a falsehood among many, among mice and men, that works itself out less than zero and less than the secret in the dirt.

 

 

VIII

 

 

Like the nunmber of pints and particles in the sea, as all fortuity such as it is touches fate, and fate carries every sign, therefore, let science not be so confounded about size as to believe that the Earth orbits the Sun. After the certainties of proofs for division by zero, that all numbers equal all others too, including trillions in the markets to one index finger on the button, Foucault's pendulum runs into the same problems of circumstance as Galileo's marbles and Newtons's musket balls. Since nature has an affection for truth, as the truth resolves all things, the question is not beyond natural comprehension that natural space, or the spatialization thereof and the wisdom to know, is rather mixed together, this way then that, in containments ex post facto, and not "absolute" or impassable, not absolute in the sense of present infinitude, of course. Since all places render the set of many different points, and quantum planes connected, collected, and arranged together in many different patterns and levels, et cetera, it is more like a universal solute resolved in proportions of extensive parts.

 

  

Like the fair minded Isagoge, natural knowledge is gradual in kinds, a thing created and space is too from cause and effect. As if one little pig from NASA spaced out and traveled to Mars, then to the most distant star, it would have been only halfway to the point that was twice as far away. If one then went to the point that was twice as far away, it still would not have been halfway into infinity, because infinitude cannot be fathomed by parts. Halfway or just less to the point that is twice as far away is as far as any natural motion can go to reach the limitless edge that always vanishes beyond measures. Except that it exists in storied yondered yarns, it comes back around that the infinite quality cannot be contained by a numbered amount, not more than one. As if several bits and pieces of luck were enough, counting higher does not really do any good to capture such a thing, so absolutely otherwise the case, where any kind of infinity is infinite. Therefore, it goes beyond all quanta such as natural numbers, integers, operations, weights, lights, or color wavelengths and particles, et cetera, however great, that cannot be infinite ... of themselves.

 

The old man Simeon who waited ad infinitum in the Temple prayed, "nunc dimittis servum tuum in pace, Domine, secundum verbum tuum, quia viderunt oculi mei salutare tuum". Now dismiss thy servant O Lord, in peace, according to thy word: for my eyes have seen your salvation. And in extensive concurrence with Huygens' principle, the mathematics of the cosmos is in the form of a sphere among many various spheres, as much as all the eyeballs in generations that see it and look back and forth at each other.

To weave the wind for z's and the trigonometries of sheep, there are a few ways to recognize that the cosmos overall is a sphere, and that it is not infinite, even without the help of satellites. For example, that which "is absolutely infinite cannot be excelled" -- since, "any perfection that can exist in numerically different things is more perfect if it exist in several than if it exist merely in one. Therefore, what is absolutely infinite cannot be found in several numerically different things,"(59) like so many sphericities, since if there could or can be another of a sort, it is not the infinite.

Yet oftwhile balbulous we see impressive cat patterns and checkerworks to unscramble, divum aeneididi, and that things and crosses in nature excel by numbers from day to day: always going for a total, like Fénix Finnegan, wherefore the philosopher says "the infinite is that which exceeds the finite, not exactly by reason of any finite measure, but in excess of any measure that could be assigned".-60

 

Even with the heroism of billion dollar'd wrenches from Judeo-Masonic controlled NASA, it may be impossible to reach Saturn with the best apex acme of all golf ball retrievers; but if there were innumerable really long ones extended as far as Saturn, from all around the surface of the Earth, it would create the appearance of a spiked sphere in outer space, like a cosmic gumball from a sweetgum tree, for the winds of mystery to weave around all circumstance. If all extensions and extentionists to the range of Saturn could continue on equidistant with the most distant star, they would make another sphere, and if they then went only halfway to the point that was farthest away from Saturn, or halfway to the point that was twice as far away from there or just another fifth, the overall pattern that would emerge would be three more spheres. So as it goes gumball added to gumballs, the cosmos must be a sphere.

If everything was gumballs perhaps it would be more obvious, however, it seems that Copernican man is more the dim child of customs than the child of nature or his ancestors(61). As it is, every parallel or idea follows another within the way of a particular uniform curve around. Likewise, whatever its radius, the form of the cosmos is in a sphere; and the Earth is the sphere at rest at the center; and Kepler's law of the ellipse simply does not fit the spherical nature of the place in space of the Earth in the cosmos.

The greatest circle goes around the others, all the rest; and if space is called absolute, it still is fractional in the corners. Jolly corners and alembics fill the patterns in best agreement for a space of time, and so it goes with all the telescopic evidence from outer space too. To follow it all with scientific attention, including extensive studies of the isotropy of the cosmic microwave background radiation, the CMB dipole, gamma radiation and gamma ray bursts, X-ray clusters, quasars, and the spherically layered distributions of distant star clusters around the earth, and the doppler effects of redshift in starlight, et cetera, "the simple interpretation is that all the radiation in the universe, whether it is symmetric or asymmetric, is centered around the Earth. All the data show that, as far out as our telescopes can see, space is oriented geocentrically."-62

As far back as the 8th century BC, not to forefeit a thing, Isaiah described the earth and the universe as a sphere. "It is he that sitteth upon the globe of the earth, and the inhabitants thereof are as locusts: he that stretcheth out the heavens as nothing, and spreadeth them out as a tent to dwell in."

Qui sedet super gyrum terrae, et habitatores eius sunt quasi lucustae: qui extendit velut nihilum caelos, et expandit eos sicut tabernaculum ad inhabitandum.-63

The heavens, planets, and stars are stretched out and architected all around the earth, which is a sphere within spheres. The celestial orbs are spread out as circles, so loverly, which is what Anaximander, Anaximenes, Pythagoras, Xenophanes, Parmenides, Plato, Eudoxus, Aritstole, Ptolemy, Tycho Brahe, Riccioli and many others believed. Copernicus himself was still in circles before Kepler and the ellipse; and Newtonian gravitation is not a terrestrial or cosmic force of any lateral significance. Since gravity is not at all sideways, not even a kind in specific direction, it remains an easy toss into the abyss and total nonsense -- straight down the old volcano, and the Earth and the cosmos are all in spheres. Then Newtonian gravitation is not vertical either.

Except for labels to fit the situation, there is not any normative sense of up or down projected within the larger picture from the purely greatest as greatest per second second second sphere. Per second second second second, since any vertical column from a sphere is lateral in direction to many sets around another perpendicular plane, what is meant by vertical is really up and away or down to the center. From any tower, there is another circle in many sets of four corners, formed in steps at ninety degrees of the uniform curve around, where the direction in sides are reversed in geometry. The lateral at one edge becomes the vertical at another and vice versa. Where at one angle from the surface, they would build taller, at another they build wider.

All the way around a view, the latitude always connects a longitude, as the longitude always connects a latitude, either way if the labels are reversed. And, certainly, the infinite does not speed up or increase. It remains the same in all trading places, as much as the infinite divisibility of extension, or radius, is total absurdity.

If there were an infinite motion, it would have to be absolutely instantaneous, quite a thing uncaused, the same way all the time, uncausable, in fact, curved uniformly without limiting radius, and indivisible. Unlimited and beyond measure, it would have to be supernatural, whereas natural motion cannot remain indivisible or occur absolutely instantaneously. Natural motion cannot take place in a single instant, and that way be beyond measuring measures, but must pass through different instants by division, even if the instants would begin to seem microcosmic or difficult to number.

Since nature has some relation to what is always beyond, there is some mystery in accrual that an indivisible singularity that habitacularly would be perfectly continuous with uncaused motion would not be something only natural, since any natural motion is in parts and must always have at least two separabilities. Natural motion is everywhere inflected by some form of division, another duality in three dimensions of cause and effect, featuring some fractional bias, whereas any infinite motion in what would be called "absolute space" is not. Thus it is riverrun and three times in all that innumerable contradiffitions or antinos arise so much in the tweens as referrents the same in the mitty borders between all else and infinity.

 

(*VI) The term "infinity" can be used in two different senses. It can mean innumerability and things that run beyond practical measure. This is the potential infinity that can fit inside some people's heads for a numeric thought experiment. Then there is absolute infinity, which is also actual infinity, or the unmitigated infinity, also mentioned of uncaused and uncausable motion or being, which simply cannot fit inside people's heads and cannot be fathomed by parts or any measures. Nobody can count their way into absolute unmitigated uncausable infinity by exponents of any kind or calculus.

 

 

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just for a look ...

A man walking home from downtown office work in the city happened to pass a halfway house for indigent parolees from the jails and mental health and substance abuse clinics. There was tall wooden fencing all along the sidewalks, covering the sides for total enclosure. He couldn't see over, but he could hear from the yard inside the excited voices of the inmates laughing and shouting, "twelve, twelve, twelve".

The planks of the fence were so tightly placed together that no one could see through any cracks. When he spied a good hole in the fence, suddenly he felt so curious that he could not help but look in to see what was going on. All of a sudden, just as he thought he'd get a good look, he was poked rudely in the eye with a stick. They all started laughing "ha, ha, ha" and shouting "thirteen, thirteen, thirteen."

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http://www.youtube.com/watch?v=UnURElCzGc0&feature=related

 

(One Thanksgiving holiday a visiting granddaughter, a high school cheerleader at the time, and Colonel Bonaventure were watching Carl Sagan expostulate on a TV rerun about Edwin Abbot's book "Flatland", and the 4th dimension and "tesseracts". They were so entertained by his depiction of a hyper-cubed tesseract that they managed to write a poem in response, even if not very good, as it may be for an odd occasion.)

 

 

Junior Varsity Invocation of a Tesseract

 

O tesseract, O tesseract!
where have you gone?

Sans wisdom, you could be exact
such as was song

Saw you in the funny papers
so crazy cool

Full of mischief, a real caper
too cool for school

No one's seen you in sand pebbles
roses or thorns

From yon 4th dimension revels
trumpet the horns

One sign from you could bring more mirth
than cold green beer

or all said wisdom of this earth
twinkling with cheer

You know how to spin a handle
out of thin air

If you were stuck in my sandal
would i not care?

 

 

---

 

If a tesseract was stuck inside somebody's shoe, and he examined it as closely as possible, the thing-in-itself -- das Ding an sich -- would only manifest in 3-D. If it was from yon 4th dimension, one could never tell for analysis of the confusion. If it looked like something that might enjoy a better explanation than just looking at it, and staring, he could ask a scientist for help, and if he could get directions to the 4th dimension, so he could return it.

Many scientists perhaps would try and think they are making sense, but it would only be more bad directions. The teachers of heliocentric doctrine and relativity will say, however, that this is because people and the world are trapped in three dimensions and cannot comprehend the 4th.

 

They have a way to suppose that it is no surprise that math should hurt the brain, and that from three dimensions one is unable to discover the fourth; as supposedly from two dimensions, one would be unable to discover the third, if it was not already known that it was in existence. What one sees of the hyper-cubed tesseract, limited in three dimensions, that was caught in the shoe, therefore, is only a shadow of the fourth, so to speak. Yet any painting that represents three dimensions in two shows the third as well as that there is not a fourth.

 

A postulant of the 4th, 5th, or n dimensions may continue, however, that if a coordinate system is everywhere restricted to four opposite directions, from two intersecting lines in one plane, there would be no way to tell that there was a third dimension. Therefore, as well, when a coordinate system is three dimensional, we only imagine that it is complete because we are unable to recognize a fourth dimension in it, except by the weirdest whisper of a shadow.

 

To illustrate the example, imagine that we are perfectly flat, so absolutely flat, as flat as we can be, and that we live in a place called "Flatland". In this community of flatness, everybody would be exceptionally level, of course. The citizens would have width and length but no height at all. As the flatest circles, squares, triangles, pentagons, hexagons, octogons and other two dimensional figures go, we would circulate about in our geometry and pursue the flatest business in the world in the flatest buildings and very level flat places.

 

According to experience as Flatlanders, we would only know about four sides to a subject: left and right, forward and back, but we have never heard of up and down. Our awareness there is kept completely horizontal, with no direct recognition of the vertical, and our situation here would be similar to that, when we try to imagine the fourth dimension in a cube, et cetera.

 

This is the fantasy land described by Edwin Abbot in his science fiction account, "Flatland", a satirical novella first published in 1884, that would help convey in some way the imaginary existence of a 4th dimension. By limiting the perspective, with removal of one side of things in the up and down, by restricting the three we know to two, a cloud of unknowing would descend in a plane, sufficient that from two dimensions one should be able to discern by illustration of analogy in the confusion that there would also be a fourth.

 

But is this really true, and logical, or only science fiction? On the other hand, could a Flatlander not reasonably begin to figure out one day that there must be a third dimension in space but never, and forever never, a fourth, even without visitation of a higher being from the third?

 

It should be obvious at least that there are two sides to things, even in Flatland. There is always a beginning and an end, since everything has at least two sides. Duality and reflection of rotation, looked at from either side of four directions, from this way to that, clockwise or counter-clockwise, creates the indirect impression of a sphere, overall, or a rubik's cube, since the two sides are opposite in mathematical intention.

Every aspect has at least two sides and a middle, and people mull things over in 3-D. There is the mind itself, that is one, the declension of inflection, and as reflection that is two, and then the process of retension or conjugation of conjunction in between, that is three ...

 

 

Even with the greatest flatness possible, the thinnest figures in Flatland will still have at least some edge for their borders. If the factor "y" of the vertical axis was really zero, in terms of existence, not only for putative denial of location, then Flatland would not be able to exist, because the horizontal is not independent of the vertical. x is not independent of y, and zero times zero is zero, only zero of zero by the sea, where there would be no summer waves, April showers, or winter ice. If there was no vertical aspect of even the most leveled and lowest sort, there would be no horizontal, because without some quality of the vertical there would not be any sides of width and length.

 

For instance, if the point of origin of Flatland is (0,0) for the x and z axes (excluding y) the value is in terms of position not ontology, if Flatland exists at all. The 0 there is expressed in terms of the center location and direction not nothingness. Where there is always a designated zero point for "y", everywhere one goes in Flatland, the zero is really in terms of curiosity of position, for a ubiquitous lack of elevation not existence. There is no position of elevation to any account in Flatland, but there is still an edge to the littlest fractional amount all around and in all the figures.

 

In a two dimensional cross-section, the third dimension is hovering above and below, even if it exists in Flatland only by constant evasion -- by the thinnest edge of its plane. "Y" does not equal nothing predicated of zero, even in Flatland, except after the style of lack of elevation in location, not total non-existence; and the third dimension manifests virtually in two, even where it may seem to be missing. Therefore, the image of the third, if not its more direct experience, is already there in Flatland, even as flat as it could be.

 

If a poor square took a good look around and saw the border of a circle one day, he could begin to realize that things were not as flat as he thought. A circle is not flat in the edge of the curve, going all the way around; and every figure has a face, and every face has two sides. Records have side A and side B, for instance, and with any grooves for the sound that is getting a little three dimensional already.

Increase and decrease are possible in Flatland, of course, as much as the numbers, no matter how flat, so how can the way be sure that a circle will not one day change a few degrees, as events may determine for proof of awareness? With adjustments, funny things may happen, and perhaps it may even seem that the figures in the place would breathe a little. If one could not hold his breath, he would just have to let it out.

The vertex of every angle other than 180" is bent and bent is not so "flat". The reason a proper circle should be flat is that it has three hundred and sixty degrees rotated equally in its plane. However, if there were any dents, bumps, or crinkles in rotation around, in the life of a circle, or if any of the degrees were lost or too many added, it will not be so well curved in the event and flat in the edge. If it begins to crinkle in a corner, it will develop a little concavity. Or if it adds too many, it will begin to bulge, and either way the math goes, if it does not add up correctly to exactly 360", it will lose some of its fitness for flatness.

 

If a triangle, a rhombus, or a Euclidean kite were only thinking about the complete flatness of a curve that goes all the way around, the thought would also need to see the form of any circle in projection from above and below, to see the totality. The thing could be different colors on different sides, and seeing things from both sides of the form, for all the color and geometry in projection, is mulling things over in 3-D. If one would see the whole circle, not just a little section in the offing, one would have to see all points of circumference, and all the degrees in a template from a point of sight to the circle's plane.

Any point of sight to a template is a 3-D implication, and with enough awareness from juxtapostion of different figures, projection, and superimposition, a Flatlander one day could begin to perceive that the mind of place is 3-D, if not the place itself. For instance, in abstraction of a small blue circle, superimposed in a red triangle, within a larger yellow square, a little wing of 3-D goes floating by in the principle of separation of species by sight, in the slightest background note of the sequence, and difference in figure, color, and size.

If vision and the mind's eye in Flatland would be represented by a two-dimensional digit, for the flatness of the experience, the interior of the eye would still have to be 3-D from within itself, das Ding an sich. Water is the essence in the eye, and seeing is a three part process in the drop, and the object seen, the faculty of sight, and the projection of what is seen in the mind. If the digital eye of the land in Flatland were to look around, to see the nature of the place, it would have to recognize that while things were very flat, there was side A and side B. There would be, therefore, an up and down, as much as the color of one side is opposite the other, when the colors are different. To understand the picture, therefore, it must be from a third dimensional property hidden in some aethereal cloud of refinement above and below.

It does not make sense to imagine there would be visibility and light in Flatland, if there was not a third dimension, since light is three dimensional. There is not any light that is not three dimensional any less than a drop of water. Even the smallest digital points of light are in shells that extend in three dimensions. If Flatland was totally dark and lacked all visibility and color, maybe then a square limited there could not figure it out, that there was a third dimension, and would remain forever in two-dimensional obscurity. But that really is another case to say that nobody can see anything in Flatland, and that it is totally dark.

There may be no better way to represent a two-dimensional operation of vision, in the eye of the land in Flatland, than by the smallest digitzed point of light; and there may be no better way to represent the smallest point of light than by a tiny, tiny sphere. So the irony of the third dimension would only be a slight reckoning away, in the hint of the apple of the eye, one day to be discovered by Flatlanders, who are not absolutely blind and take a good look around to see a luminescent ray.

Once a square discovers the principle of reflections and rotation, he could deduce that there was in the scheme of things a third dimension, that he could call up and down, even if it was not so well developed in Flatland. If he worked for a flat-ways construction company called Gemini Construction, for example, that was operated by twin circles, and they were commissioned to build three roads between point Z and point M, it would become apparent again that there are two sides to everything.

And where there is reflection and rotation, there is also inside and out, and outside and in, which would not be possible without some aspect of a portal, a spiral of portability, even from a third dimension -- even if it were so flat, as flat as it could be.

 

If when they were facing forward, the twin circles were blue on the right and red on the left, it becomes the reverse order when anyone else faces them, or when they face each other. If they were both half blue, half red, and they were right-handed to the blue side, when  facing each other, the blue effect would be inside to the right, and the red outside to the left. For vice versa, like this or like that, in the cross-over effects of red and blue, inside and out, from spinning around in circles at work, like so, there arises some restricted inkling of a spiral if not a third dimension in the construction process ... since it all reverses again, if the eye of the land looks at it with projection from side A or side B.

 

If Gemini Construction made money by quantity not only quality, and the first two roads they built from Z to M were in the rounding arc of semi-circles, they would make more money from either of the two semi-circle roads than from building a shorter straight road ZM. The shortest distance between two points is a straight line, certainly, and less money to charge the government. If they wanted to make as much money from the straight-line road ZM in the middle, as from the two curved roads on the outside, they would have to pack the same quantity of road overall into it, which would in some way create some elevation -- at least a little, either in a curve up into the vertical, or in smaller scattered bumps, or a tunnel. How could they conceal and condense such tricky business and make extra money, if they would be so devious with a straight line even in Flatland?

These things must be in common, and an Oversight Commitee would surely have to notice that the third road in the middle was not as level as the first two on the outside. Such a scheme to make extra money, when it would be discovered, could cause a scandal, if this was how the community began to understand that there was indeed a third dimension in math and the budget, if not more directly in the country.  If Gemini Construction alone recognized the opportunity for bigger dollars in the vertical, but decided to keep things more on the level, because of ethics and fear they could get caught on the fiddle -- at least they would already know in the business that there is a potential third dimension, everywhere in the corners and reflections, or a trick rotation, if for an extra dollar, when things are restricted in two's, duo duo.

 

Besides roads, the experience of locomotion and conveyance in Flatland would lead Flatlanders to intuit the third dimension, since no motions would be possible without superficial separation. A doctor of science can understand it is one thing to be flat and another to be stuck.

 

Also, the accumulation of reflections and rotations, and the awareness of sideways that comes from two sides to everything and light, would add to the positive deduction that there are three dimensions in math, even if the country is deprived. The postulates, theorems, and calculations of algebra and geometry will prove it: and any sideways rotations to any established angles, or any such conveniences or conveyances, not just in opposite directions, or continuing the other way, creates 3-D. If there was not a third dimension, or the least bump of an odd rotation, even if so totally limited as possible, to be called the flatest duality, everything would get stuck and be completely dark in Flatland.

Two-dimensional things being what they are, with as much fiddling around as there could be in construction and contracts in a country like Flatland, at least a few poor squares, as well as some circles and triangles, could spy out one day that there are three logical dimensions in math and all the numbers, even if they may be restricted sometimes and some places to flat two's. They could also recognize that there are only three dimensions in total space for the same reasons that there are only five Platonic solids, and that three dimensions are enough for everything ... ad infinitum.