Arithmetic Quotes

The hardest arithmetic to master is that which enables us to count our blessings.

A teacher who loves learning earns the right and the ability to help others learn.

One ought not to judge her: all children are Heartless. They have not grown a heart yet, which is why they can climb high trees and say shocking things and leap so very high grown-up hearts flutter in terror. Hearts weigh quite a lot. That is why it takes so long to grow one. But, as in their reading and arithmetic and drawing, different children proceed at different speeds. (It is well known that reading quickens the growth of a heart like nothing else.) Some small ones are terrible and fey, Utterly Heartless. Some are dear and sweet and Hardly Heartless At All. September stood very generally in the middle on the day the Green Wind took her, Somewhat Heartless, and Somewhat Grown.

Reeling and Writhing of course, to begin with,' the Mock Turtle replied, 'and the different branches of arithmetic-ambition, distraction, uglification, and derision.

Music is the hidden arithmetical exercise of a mind unconscious that it is calculating.

Our behavior is different. How often have you seen a headline like this?--TWO DIE ATTEMPTING RESCUE OF DROWNING CHILD. If a man gets lost in the mountains, hundreds will search and often two or three searchers are killed. But the next time somebody gets lost just as many volunteers turn out. Poor arithmetic, but very human. It runs through all our folklore, all human religions, all our literature--a racial conviction that when one human needs rescue, others should not count the price.

All the geography, trigonometry, and arithmetic in the world are useless unless you learn to think for yourself. No school teaches you that. It's not on the curriculum.

The pleasure we obtain from music comes from counting, but counting unconsciously. Music is nothing but unconscious arithmetic.

In the arithmetic of love, one plus one equals everything, and two minus one equals nothing.

I’ll wait for you. Come back. The words were not meaningless, but they didn’t touch him now. It was clear enough - one person waiting for another was like an arithmetical sum, and just as empty of emotion. Waiting. Simply one person doing nothing, over time, while another approached. Waiting was a heavy word.

We all have such stories. It is a brutal arithmetic. But I - I am alive. You are alive. As long as we breathe, we can see and hear. As long as we can remember, all those gone before are alive inside us.

I could never have gone far in any science because on the path of every science the lion Mathematics lies in wait for you.

The loony legacy of money was that the arithmetic by which things were measured had become more valuable than the things themselves.

Reading list (1972 edition)[edit] 1. Homer – Iliad, Odyssey 2. The Old Testament 3. Aeschylus – Tragedies 4. Sophocles – Tragedies 5. Herodotus – Histories 6. Euripides – Tragedies 7. Thucydides – History of the Peloponnesian War 8. Hippocrates – Medical Writings 9. Aristophanes – Comedies 10. Plato – Dialogues 11. Aristotle – Works 12. Epicurus – Letter to Herodotus; Letter to Menoecus 13. Euclid – Elements 14. Archimedes – Works 15. Apollonius of Perga – Conic Sections 16. Cicero – Works 17. Lucretius – On the Nature of Things 18. Virgil – Works 19. Horace – Works 20. Livy – History of Rome 21. Ovid – Works 22. Plutarch – Parallel Lives; Moralia 23. Tacitus – Histories; Annals; Agricola Germania 24. Nicomachus of Gerasa – Introduction to Arithmetic 25. Epictetus – Discourses; Encheiridion 26. Ptolemy – Almagest 27. Lucian – Works 28. Marcus Aurelius – Meditations 29. Galen – On the Natural Faculties 30. The New Testament 31. Plotinus – The Enneads 32. St. Augustine – On the Teacher; Confessions; City of God; On Christian Doctrine 33. The Song of Roland 34. The Nibelungenlied 35. The Saga of Burnt Njál 36. St. Thomas Aquinas – Summa Theologica 37. Dante Alighieri – The Divine Comedy;The New Life; On Monarchy 38. Geoffrey Chaucer – Troilus and Criseyde; The Canterbury Tales 39. Leonardo da Vinci – Notebooks 40. Niccolò Machiavelli – The Prince; Discourses on the First Ten Books of Livy 41. Desiderius Erasmus – The Praise of Folly 42. Nicolaus Copernicus – On the Revolutions of the Heavenly Spheres 43. Thomas More – Utopia 44. Martin Luther – Table Talk; Three Treatises 45. François Rabelais – Gargantua and Pantagruel 46. John Calvin – Institutes of the Christian Religion 47. Michel de Montaigne – Essays 48. William Gilbert – On the Loadstone and Magnetic Bodies 49. Miguel de Cervantes – Don Quixote 50. Edmund Spenser – Prothalamion; The Faerie Queene 51. Francis Bacon – Essays; Advancement of Learning; Novum Organum, New Atlantis 52. William Shakespeare – Poetry and Plays 53. Galileo Galilei – Starry Messenger; Dialogues Concerning Two New Sciences 54. Johannes Kepler – Epitome of Copernican Astronomy; Concerning the Harmonies of the World 55. William Harvey – On the Motion of the Heart and Blood in Animals; On the Circulation of the Blood; On the Generation of Animals 56. Thomas Hobbes – Leviathan 57. René Descartes – Rules for the Direction of the Mind; Discourse on the Method; Geometry; Meditations on First Philosophy 58. John Milton – Works 59. Molière – Comedies 60. Blaise Pascal – The Provincial Letters; Pensees; Scientific Treatises 61. Christiaan Huygens – Treatise on Light 62. Benedict de Spinoza – Ethics 63. John Locke – Letter Concerning Toleration; Of Civil Government; Essay Concerning Human Understanding;Thoughts Concerning Education 64. Jean Baptiste Racine – Tragedies 65. Isaac Newton – Mathematical Principles of Natural Philosophy; Optics 66. Gottfried Wilhelm Leibniz – Discourse on Metaphysics; New Essays Concerning Human Understanding;Monadology 67. Daniel Defoe – Robinson Crusoe 68. Jonathan Swift – A Tale of a Tub; Journal to Stella; Gulliver's Travels; A Modest Proposal 69. William Congreve – The Way of the World 70. George Berkeley – Principles of Human Knowledge 71. Alexander Pope – Essay on Criticism; Rape of the Lock; Essay on Man 72. Charles de Secondat, baron de Montesquieu – Persian Letters; Spirit of Laws 73. Voltaire – Letters on the English; Candide; Philosophical Dictionary 74. Henry Fielding – Joseph Andrews; Tom Jones 75. Samuel Johnson – The Vanity of Human Wishes; Dictionary; Rasselas; The Lives of the Poets

A trickle of blood came out under the door, crossed the living room, went out into the street, continued on in a straight line across the uneven terraces, went down steps and climbed over curbs, passed along the Street of the Turks, turned a corner to the right and another to the left, made a right angle at the Buendía house, went in under the closed door, crossed through the parlor, hugging the walls so as not to stain the rugs, went on to the other living room, made a wide curve to avoid the dining-room table, went along the porch with the begonias, and passed without being seen under Amaranta's chair as she gave an arithmetic lesson to Aureliano José, and went through the pantry and came out in the kitchen, where Úrsula was getting ready to crack thirty-six eggs to make bread. "Holy Mother of God!" Úrsula shouted.

Anyone who considers arithmetical methods of producing random digits is, of course, in a state of sin.

music is the arithmetic of sounds as optics is the geometry of light

There are millions of chords. There are millions of numbers. And everyone forgets the one that is a zero. But without the zero, numbers are just arithmetic. Without the empty chord, music is just noise.

Imagine what you are writing about. See it and live it. Do not think it up laboriously, as if you were working out mental arithmetic. Just look at it, touch it, smell it, listen to it, turn yourself into it. When you do this, the words look after themselves, like magic.

Sir Richard sighed. "Rid yourself of the notion that I cherish any villainous designs upon your person," he said. "I imagine I might well be your father. How old are you?" "I am turned seventeen." "Well, I am nearly thirty," said Sir Richard. Miss Creed worked this out. "You couldn't possibly be my father!" "I am far too drunk to solve arithmetical problems. Let it suffice that I have not the slightest intention of making love to you.

Part of her revolted against the insanity of the rules. Part of her was grateful. In a world of chaos, any guidelines helped. And she knew that each day she remained alive, she remained alive. One plus one plus one. The Devil's arithmetic...

There is no division nor subtraction in the heart-arithmetic of a good mother. There are only addition and multiplication.

You are a name, not a number. Never forget that name, whatever they tell you here. You will always be Chaya—life—to me.

Logic, n. The art of thinking and reasoning in strict accordance with the limitations and incapacities of the human misunderstanding. The basic of logic is the syllogism, consisting of a major and a minor premise and a conclusion - thus: Major Premise: Sixty men can do a piece of work sixty times as quickly as one man. Minor Premise: One man can dig a post-hole in sixty seconds; Therefore- Conclusion: Sixty men can dig a post-hole in one second. This may be called syllogism arithmetical, in which, by combining logic and mathematics, we obtain a double certainty and are twice blessed.

Very possible! Possible, indeed. Maybe even probable, which, as you know if you study your arithmetic,can happen more often than possible. In other words, probable is more possible than possible. - Bubo

Arithmetic arithmetock Turn the hands back on the clock How does the ocean rock the boat? How did the razor find my throat? The only strings that hold me here Are tangled up around the pier.

If war were arithmetic, then the mathematicians would rule the world. (Lord Petyr Baelish)

I do know the sorrow of being ordinary, and that much of our life is spent doing the crazy mental arithmetic of how, at any given moment, we might improve, or at least disguise or present our defects and screw-ups in either more charming or more intimidating ways.

In North Korea, even arithmetic is a propaganda tool. A typical problem would go like this: “If you kill one American bastard and your comrade kills two, how many dead American bastards do you have?

I would say that the five most important skills are of course, reading, writing, arithmetic, and then as you’re adding in, persuasion, which is talking. And then finally, I would add computer programming just because it’s an applied form of arithmetic that just gets you so much leverage for free in any domain that you operate in. If you’re good with computers, if you’re good at basic mathematics, if you’re good at writing, if you’re good at speaking, and if you like reading, you’re set for life.

If the traditional Rs (reading, writing, and arithmetic) are the basics that we want our children to master academically, then reverence, respect, and responsibility are the three Rs that our children need to master for the sake of their souls and the health of the world.

Hallie and I... were all there was. The image in the mirror that proves you are still here. We had exactly one sister apiece. We grew up knowing the simple arithmetic of scarcity: A sister is more precious than an eye.

Persecution is used in theology, not in arithmetic, because in arithmetic there is knowledge, but in theology there is only opinion.

If slavery persists as an issue in the political life of black America, it is not because of an antiquarian obsession with bygone days or the burden of a too-long memory, but because black lives are still imperiled and devalued by a racial calculus and a political arithmetic that were entrenched centuries ago. This is the afterlife of slavery--skewed life chances, limited access to health and education, premature death, incarceration, and impoverishment.

Self-regulation can be taught to many kids who cycle between frantic activity and immobility. In addition to reading, writing, and arithmetic, all kids need to learn self-awareness, self-regulation, and communication as part of their core curriculum. Just as we teach history and geography, we need to teach children how their brains and bodies work. For adults and children alike, being in control of ourselves requires becoming familiar with our inner world and accurately identifying what scares, upsets, or delights us.

Music is the hidden arithmetic of the soul, which does not know that it deals with numbers. (Paraphrasing Gottfried Wilhelm Leibnitz)

Despite constant insistence that we lose weight for our health and track the simple arithmetic of calories in, calories out, there is no data illustrating that dieting achieves long-term weight loss.

When you have mastered numbers, you will in fact no longer be reading numbers, any more than you read words when reading books. You will be reading meanings.

Certainly, the terror of a deserted house swells in geometrical rather than arithmetical progression as houses multiply to form a city of stark desolation. The sight of such endless avenues of fishy-eyed vacancy and death, and the thought of such linked infinities of black, brooding compartments given over to cob-webs and memories and the conqueror worm, start up vestigial fears and aversions that not even the stoutest philosophy can disperse.

the seven “liberal arts”: Grammar, the foundation of science; Logic, which differentiates the true from the false; Rhetoric, the source of law; Arithmetic, the foundation of order because “without numbers there is nothing”; Geometry, the science of measurement; Astronomy, the most noble of the sciences because it is connected with Divinity and Theology; and lastly Music.

We say to the confused, Know thyself, as if knowing yourself was not the fifth and most difficult of human arithmetical operations, we say to the apathetic, Where there's a will, there's a way, as if the brute realities of the world did not amuse themselves each day by turning that phrase on its head, we say to the indecisive, Begin at the beginning, as if beginning were the clearly visible point of a loosely wound thread and all we had to do was to keep pulling until we reached the other end, and as if, between the former and the latter, we had held in our hands a smooth, continuous thread with no knots to untie, no snarls to untangle, a complete impossibility in the life of a skein, or indeed, if we may be permitted one more stock phrase, in the skein of life.

Arithmetic is the death of story.

Maybe fate's arithmetic is so diffuse that it's not arithmetic at all.

people have managed to marry without arithmetic

If you do something to benefit one person, that is an absolute gain, and its relative insignificance in the wider scheme is irrelevant. Benefit two people without concomitant harm to others - or a village, tribe, city, class, nation, society or civilisation - and the benefits are scalable, arithmetic. There is no excuse beyond fatalistic self-indulgence and sheer laziness for doing nothing.

Any consistent formal system F within which a certain amount of elementary arithmetic can be carried out is incomplete; i.e., there are statements of the language of F which can neither be proved nor disproved in F.

But where is the antidote for lucid despair, perfectly articulated, proud, and sure? All of us are miserable, but how many know it? The consciousness of misery is too serious a disease to figure in an arithmetic of agonies or in the catalogues of the Incurable. It belittles the prestige of hell, and converts the slaughterhouses of time into idyls. What sin have you committed to be born, what crime to exist? Your suffering like your fate is without motive. To suffer, truly to suffer, is to accept the invasion of ills without the excuse of causality, as a favor of demented nature, as a negative miracle. . .

We are all monsters" Hannah said. "Because we are letting it happen." She said it not as if she believed it but as she were to repeat something she had heard before.

You can find sorrow in the arithmetic, and you can find a bittersweet hope.

I'd often wished I could work out people as easily as I did arithmetic: simply break them down to their common denominators and solve. Numbers didn't' lie; there was always an answer, and the answer was either right or it was wrong. Simple. But nothing in life was simple, and there was no answer to solve for.

Every form has its own meaning. Every man creates his meaning and form and goal. Why is it so important - what others have done? Why does it become sacred by the mere fact of not being your own? Why is anyone and everyone right - so long as it's not yourself? Why does the number of those others take the place of truth? Why is truth made a mere matter of arithmetic - and only of addition at that? Why is everything twisted out of all sense to fit everything else? There must be some reason. I don't know. I've never known it. I'd like to understand.

What is to be done with the millions of facts that bear witness that men, consciously, that is fully understanding their real interests, have left them in the background and have rushed headlong on another path, to meet peril and danger, compelled to this course by nobody and by nothing, but, as it were, simply disliking the beaten track, and have obstinately, wilfully, struck out another difficult, absurd way, seeking it almost in the darkness. So, I suppose, this obstinacy and perversity were pleasanter to them than any advantage... The fact is, gentlemen, it seems there must really exist something that is dearer to almost every man than his greatest advantages, or (not to be illogical) there is a most advantageous advantage (the very one omitted of which we spoke just now) which is more important and more advantageous than all other advantages, for the sake of which a man if necessary is ready to act in opposition to all laws; that is, in opposition to reason, honour, peace, prosperity -- in fact, in opposition to all those excellent and useful things if only he can attain that fundamental, most advantageous advantage which is dearer to him than all. "Yes, but it's advantage all the same," you will retort. But excuse me, I'll make the point clear, and it is not a case of playing upon words. What matters is, that this advantage is remarkable from the very fact that it breaks down all our classifications, and continually shatters every system constructed by lovers of mankind for the benefit of mankind. In fact, it upsets everything... One's own free unfettered choice, one's own caprice, however wild it may be, one's own fancy worked up at times to frenzy -- is that very "most advantageous advantage" which we have overlooked, which comes under no classification and against which all systems and theories are continually being shattered to atoms. And how do these wiseacres know that man wants a normal, a virtuous choice? What has made them conceive that man must want a rationally advantageous choice? What man wants is simply independent choice, whatever that independence may cost and wherever it may lead. And choice, of course, the devil only knows what choice. Of course, this very stupid thing, this caprice of ours, may be in reality, gentlemen, more advantageous for us than anything else on earth, especially in certain cases… for in any circumstances it preserves for us what is most precious and most important -- that is, our personality, our individuality. Some, you see, maintain that this really is the most precious thing for mankind; choice can, of course, if it chooses, be in agreement with reason… It is profitable and sometimes even praiseworthy. But very often, and even most often, choice is utterly and stubbornly opposed to reason ... and ... and ... do you know that that, too, is profitable, sometimes even praiseworthy? I believe in it, I answer for it, for the whole work of man really seems to consist in nothing but proving to himself every minute that he is a man and not a piano-key! …And this being so, can one help being tempted to rejoice that it has not yet come off, and that desire still depends on something we don't know? You will scream at me (that is, if you condescend to do so) that no one is touching my free will, that all they are concerned with is that my will should of itself, of its own free will, coincide with my own normal interests, with the laws of nature and arithmetic. Good heavens, gentlemen, what sort of free will is left when we come to tabulation and arithmetic, when it will all be a case of twice two make four? Twice two makes four without my will. As if free will meant that!

From my point of view, any outstanding work of art is a fantasy insofar as it reflects the unique world of a unique individual. Art is not just simple arithmetic, it's a delicate calculus. Keep in mind the passion of the scientist and the precision of the artist.

The arithmetic is quite simple. Instead of playing Draw Something, fucking draw something! Take the cleverness you apply to Words with Friends and utilize it to make some kick-ass corn bread. Corn Bread with Friends - try that game.

Whenever a state or an individual cited 'insufficient funds' as an excuse for neglecting this important thing or that, it was indicative of the extent to which reality had been distorted by the abstract lens of wealth. During periods of so-called economic depression, for example, societies suffered for want of all manner of essential goods, yet investigation almost invariably disclosed that there were plenty of goods available. Plenty of coal in the ground, corn in the fields, wool on the sheep. What was missing was not materials but an abstract unit of measurement called 'money.' It was akin to a starving woman with a sweet tooth lamenting that she couldn't bake a cake because she didn't have any ounces. She had butter, flour, eggs, milk, and sugar, she just didn't have any ounces, any pinches, any pints. The loony legacy of money was that the arithmetic by which things were measured had become more valuable than the things themselves.

Humans aren't as good as we should be in our capacity to empathize with feelings and thoughts of others, be they humans or other animals on Earth. So maybe part of our formal education should be training in empathy. Imagine how different the world would be if, in fact, that were 'reading, writing, arithmetic, empathy.

FEMALE VOICE: 'The truth is people are pushed around by two men who move all the bodies on earth into patterns that please them.' MALE VOICE: 'I love my mind when it is fucking the cracks of events.' MALE VOICE: 'What I give to all the people who do not want to live with me is arithmetic.' FEMALE VOICE: 'Everyday, I do nothing important because I am scared blank and lazy. But then the men come. I put my mouth on them. I spit and write with the wet.' MALE VOICE: 'I was not born live. This body grew but I did not feel cells split.

Thomas Edison said in all seriousness: "There is no expedient to which a man will not resort to avoid the labour of thinking"-if we bother with facts at all, we hunt like bird dogs after the facts that bolster up what we already think-and ignore all the others! We want only the facts that justify our acts-the facts that fit in conveniently with our wishful thinking and justify our preconceived prejudices! As Andre Maurois put it: "Everything that is in agreement with our personal desires seems true. Everything that is not puts us into a rage." Is it any wonder, then, that we find it so hard to get at the answers to our problems? Wouldn't we have the same trouble trying to solve a second-grade arithmetic problem, if we went ahead on the assumption that two plus two equals five? Yet there are a lot of people in this world who make life a hell for themselves and others by insisting that two plus two equals five-or maybe five hundred!

I have been taking stock of my 50 years since I left Wichita in 1922 at the age of 15 to become a dancer with Ruth St. Denis and Ted Shawn. How I have existed fills me with horror. For I have failed in everything -- spelling, arithmetic, riding, tennis, golf; dancing, singing, acting; wife, mistress, whore, friend. Even cooking. And I do not excuse myself with the usual escape of 'not trying.' I tried with all my heart.

In a library we are surrounded by many hundreds of dear friends, but they are imprisoned by an enchanter in these paper and leathern boxes; and though they know us, and have been waiting two, ten, or twenty centuries for us,—some of them,—and are eager to give us a sign and unbosom themselves, it is the law of their limbo that they must not speak until spoken to; and as the enchanter has dressed them, like battalions of infantry, in coat and jacket of one cut, by the thousand and ten thousand, your chance of hitting on the right one is to be computed by the arithmetical rule of Permutation and Combination,—not a choice out of three caskets, but out of half a million caskets, all alike.

I don't approve of mixing ideologies," Ivanov continued. "There are only two conceptions of human ethics, and they are at opposite poles. One of them is Christian and humane, declares the individual to be sacrosanct, and asserts that the rules of arithmetic are not to be applied to human units. The other starts from the basic principle that a collective aim justifies all means, and not only allows, but demands, that the individual should in every way be subordinated and sacrificed to the community--which may dispose of it as an experimentation rabbit or a sacrificial lamb. The first conception could be called anti-vivisection morality, the second, vivisection morality. Humbugs and dilettantes have always tried to mix the two conceptions; in practice, it is impossible.

Mathematics was actually a logical puzzle with endless variations—riddles that could be solved. The trick was not to solve arithmetical problems. Five times five would always be twenty-five. The trick was to understand combinations of the various rules that made it possible to solve any mathematical problem whatsoever.

Most people would have probably lost count around seven. This was, Harry knew from his extensive reading on logic and arithmetic, the largest number that most people could visually appreciate. Put seven dots on a page, and most people can take a quick glance and declare, “Seven.” Switch to eight, and the majority of humanity was lost.

It is by now proverbial that every proverb has its opposite. For every Time is money there is a Stop and smell the roses. When someone says You never stand in the same river twice someone else has already replied There is nothing new under the sun. In the mind's arithmetic, 1 plus -1 equals 2. Truths are not quantities but scripts: Become for a moment the mind in which this is true.

I examined my Liberalism and found it like an addiction to roulette. Here, though the odds are plain, and the certainty of loss apparent to anyone with a knowledge of arithmetic, the addict, failing time and again, is convinced he yet is graced with the power to contravene natural laws. The roulette addict, when he invariably comes to grief, does not examine either the nature of roulette, or of his delusion, but retires to develop a new system, and to scheme for more funds.

It is India that gave us the ingenious method of expressing all numbers by means of ten symbols, each symbol receiving a value of position as well as an absolute value; a profound and important idea which appears so simple to us now that we ignore its true merit. But its very simplicity and the great ease which it has lent to computations put our arithmetic in the first rank of useful inventions; and we shall appreciate the grandeur of the achievement the more when we remember that it escaped the genius of Archimedes and Apollonius, two of the greatest men produced by antiquity.

For goodness sake,' they'll cry, 'you cannot argue against it--two times two is four! Nature doesn't consult you; it doesn't give a damn for your wishes or whether its laws please or do not please you. You must accept it as it is, and hence accept all consequences. A wall is indeed a wall. ...' And so on and so forth. Good God, what do I care about the laws of nature and arithmetic if, for one reason or another, I don't like these laws, including the 'two times two is four'? Of course, I cannot break through this wall with my head if I don't have the strength to break through it, but neither will I accept it simply because I face a stone wall and am not strong enough.

He was in that familiar state - not that the occasion mattered to seriously to him -- of incoherent ideas spreading outward without a center, so characteristic of the present, and whose strange arithmetic adds up to a random proliferation of numbers without forming a unit.

People enjoy inventing slogans which violate basic arithmetic but which illustrate “deeper” truths, such as “1 and 1 make 1” (for lovers), or “1 plus 1 plus 1 equals 1” (the Trinity). You can easily pick holes in those slogans, showing why, for instance, using the plus-sign is inappropriate in both cases. But such cases proliferate. Two raindrops running down a window-pane merge; does one plus one make one? A cloud breaks up into two clouds -more evidence of the same? It is not at all easy to draw a sharp line between cases where what is happening could be called “addition”, and where some other word is wanted. If you think about the question, you will probably come up with some criterion involving separation of the objects in space, and making sure each one is clearly distinguishable from all the others. But then how could one count ideas? Or the number of gases comprising the atmosphere? Somewhere, if you try to look it up, you can probably fin a statement such as, “There are 17 languages in India, and 462 dialects.” There is something strange about the precise statements like that, when the concepts “language” and “dialect” are themselves fuzzy.

He's teaching her arithmetic, He said it was his mission, He kissed her once and said, "Now that's addition." And as he added smack by smack In silent satisfaction, She sweetly gave the kisses back and said, "Now that's subtraction." Then he kissed her, she kissed him, Without an explanation, And both together smiled and said, "That's multiplication." Then Dad appeared upon the scene and Made a quick decision. He kicked that kid three blocks away And said, "That's long division!

That second man has his own way of looking at things; asks himself which debt must I pay first, the debt to the rich, or the debt to the poor? the debt of money, or the debt of thought to mankind, of genius to nature? For you, O broker! there is no other principle but arithmetic. For me, commerce is of trivial import; love, faith, truth of character, the aspiration of man, these are sacred; nor can I detach one duty, like you, from all other duties, and concentrate my forces mechanically on the payment of moneys. Let me live onward; you shall find that, though slower, the progress of my character will liquidate all these debts without injustice to higher claims. If a man should dedicate himself to the payment of notes, would not this be injustice? Does he owe no debt but money? And are all claims on him to be postponed to a landlord's or a banker's?

I would let her...have adventures. I would let her...choose her path. It would be hard...it was hard...but I would do it. Oh, not completely, of course. Some things have to go on. Cleaning one's teeth, arithmetic. But Maia fell in love with the Amazon. It happens. THe place was for her - and the people. Of course there was some danger, but there is danger everywhere. Two years ago, in this school, there was an outbreak of typhus, and three girls died. CHildren are knocked down and killed by horses every week, here in these streets--" She broke off, gathering her thoughts. "When she was traveling and exploring...and finding her songs, Maia wasn't just happy, she was...herself. I think something broke in Maia when her parents died, and out there it healed. Perhaps I'm mad--and the professor too-- but I think children must lead big lives...if it is in them to do so.

In One Dimensions, did not a moving Point produce a Line with two terminal points? In two Dimensions, did not a moving Line produce a Square wit four terminal points? In Three Dimensions, did not a moving Square produce - did not the eyes of mine behold it - that blessed being, a Cube, with eight terminal points? And in Four Dimensions, shall not a moving Cube - alas, for Analogy, and alas for the Progress of Truth if it be not so - shall not, I say the motion of a divine Cube result in a still more divine organization with sixteen terminal points? Behold the infallible confirmation of the Series, 2, 4, 8, 16: is not this a Geometrical Progression? Is not this - if I might qupte my Lord's own words - "Strictly according to Analogy"? Again, was I not taught by my Lord that as in a Line there are two bonding points, and in a Square there are four bounding Lines, so in a Cube there must be six bounding Squares? Behold once more the confirming Series: 2, 4, 6: is not this an Arithmetical Progression? And consequently does it not of necessity follow that the more divine offspring of the divine Cube in the Land of Four Dimensions, must have eight bounding Cubes: and is not this also, as my Lord has taught me to believe, "strictly according to analogy"?

that man is a reality, mankind an abstraction; that men cannot be treated as units in operations of political arithmetic because they behave like the symbols for zero and the infinite, which dislocate all mathematical operations; that the end justifies the means only within very narrow limits; that ethics is not a function of social utility, and charity not a petty bourgeois sentiment but the gravitational force which keeps civilization in its orbit.

Passover isn't about eating, Hannah," her mother began at last, sighing and pushing her fingers through her silver-streaked hair. "You could have fooled me," Hannah muttered.

My God, but what do I care about the laws of nature and arithmetic if for some reason these laws and two times two is four are not to my liking? To be sure, I won't break through such a wall with my forehead if I really have not got strength to do it, but neither will I be reconciled with it simply because I have a stone wall here and have not got strength enough.

It's completely logical," explained the Dodecahedron. "The more you want, the less you get, and the less you get, the more you have. Simple arithmetic, that's all. Suppose you had something and added something to it. What would that make?" "More," said Milo quickly. "Quite correct," he nodded. "Now suppose you had something and added nothing to it. What would you have?" "The same," he answered again, without much conviction. "Splendid," cried the Dodecahedron. "And suppose you had something and added less than nothing to it. What would you have then?" "FAMINE!" roared the anguished Humbug, who suddenly realized that that was exactly what he'd eaten twenty-three bowls of.

The rest-the vast majority, tens of thousands of days-are unremarkable, repetitive, even monotonous. We glide through them then instantly forget them. We tend not to think about this arithmetic when we look back on our lives. We remember the handful of Big Days and throw away the rest. We organize our long, shapeless lives into tidy little stories...But our lives are mostly made up of junk, of ordinary, forgettable days, and 'The End' is never the end.

I cannot count the pebbles in the brook. Well hath He spoken: "Swear not by thy head. Thou knowest not the hairs," though He, we read, writes that wild number in His own strange book. I cannot count the sands or search the seas, death cometh, and I leave so much untrod. Grant my immortal aureole, O my God, and I will name the leaves upon the trees, In heaven I shall stand on gold and glass, still brooding earth's arithmetic to spell; or see the fading of the fires of hell ere I have thanked my God for all the grass.

Deep Blue didn't win by being smarter than a human; it won by being millions of times faster than a human. Deep Blue had no intuition. An expert human player looks at a board position and immediately sees what areas of play are most likely to be fruitful or dangerous, whereas a computer has no innate sense of what is important and must explore many more options. Deep Blue also had no sense of the history of the game, and didn't know anything about its opponent. It played chess yet didn't understand chess, in the same way a calculator performs arithmetic bud doesn't understand mathematics.

Life is not a math problem, Charlotte.” If it was, I’d have been a lot better at it. I’d often wished I could work out people as easily as I did arithmetic: simply break them down to their common denominators and solve. Numbers didn’t lie; there was always an answer, and the answer was either right or it was wrong. Simple. But nothing in life was simple, and there was no answer here to solve for.

We're just like you,' the other tiger said. 'We speak the same language you do. We think the same thought. But we're tigers.' 'You could help me with arithmetic,' I said. 'What's that?' one of the tigers said. 'My arithmetic.' 'Oh, your arithmetic.' 'Yeah.' 'What do you want to know?' one of the tigers said. 'What's nine times nine?' 'Eighty-one,' a tiger said. 'What's eight times eight?' 'Fifty-six,' a tiger said. I asked them half of dozen other questions: six times six, seven times four, etc. I was having a lot of trouble with arithmetic. Finally the tigers got bored with my questions and told me to go away. 'OK,' I said. 'I'll go outside.' 'Don't go too far,' one of the tigers said. 'We don't want anyone to come up here and kill us.' 'OK.' They both went back to eating my parents. I went outside and sat down by the river. 'I'm an orphan,' I said.

I felt there was a lot I needed to teach her. I wanted to give her an early grounding in the basics of arithmetic and reading, but even more important, I wanted to get across the idea that the world was a dangerous place and life was unpredictable and you had to be smart, focused, and determined to make it through. You had to be willing to work hard and persevere in the face of misfortune. A lot of people, even those born with brains and beauty, didn't have what it took to knuckle down and get the thing done.

One last point. Remember that, as I said, the right direction leads not only to peace but to knowledge. When a man is getting better he understands more and more clearly the evil that is still left in him. When a man is getting worse, he understands his own badness less and less. A moderately bad man knows he is not very good: a thoroughly bad man thinks he is all right. This is common sense, really. You understand sleep when you are awake, not when you are sleeping. You can see mistakes in arithmetic when your mind is working properly: while you are making them you cannot see them. You can understand the nature of drunkenness when you are sober, not when you are drunk. Good people know about both good and evil: bad people do not know about either.

But as the scissors snip-snapped through her hair and the razor shaved the rest, she realized with a sudden awful panic that she could no longer recall anything from the past. I cannot remember, she whispered to herself. I cannot remember. She's been shorn of memory as brutally as she'd been shorn of her hair, without permission, without reason... Gone, all gone, she thought again wildly, no longer even sure what was gone, what she was mourning.

Alexander Hamilton Junior High School -- SEMESTER REPORT -- STUDENT: Joseph Margolis TEACHER: Janet Hicks ENGLISH: A, ARITHMETIC: A, SOCIAL STUDIES: A, SCIENCE: A, NEATNESS: A, PUNCTUALITY: A, PARTICIPATION: A, OBEDIENCE: D Teacher's Comments: Joseph remains a challenging student. While I appreciate his creativity, I am sure you will agree that a classroom is an inappropriate forum for a reckless imagination. There is not a shred of evidence to support his claim that Dolley Madison was a Lesbian, and even fewer grounds to explain why he even knows what the word means. Similarly, an analysis of the Constitutional Convention does not generate sufficient cause to initiate a two-hour classroom debate on what types of automobiles the Founding Fathers would have driven were they alive today. When asked on a subsequent examination, "What did Benjamin Franklin use to discover electricity?" eleven children responded "A Packard convertible". I trust you see my problem. [...] Janet Hicks Parent's Comments: As usual I am very proud of Joey's grades. I too was unaware that Dolley Madison was a Lesbian. I assumed they were all Protestants. Thank you for writing. Ida Margolis

What, after all this time, is the purpose of mass schooling supposed to be? Reading, writing, and arithmetic can’t be the answer, because properly approached those things take less than a hundred hours to transmit — and we have abundant evidence that each is readily self-taught in the right setting and time. Why, then, are we locking kids up in an involuntary network with strangers for twelve years? Surely not so a few of them can get rich? Even if it worked that way, and I doubt that it does, why wouldn’t any sane community look on such an education as positively wrong? It divides and classifies people, demanding that they compulsively compete with each other, and publicly labels the losers by literally de-grading them, identifying them as “low-class” material. And the bottom line for the winners is that they can buy more stuff! I don’t believe that anyone who thinks about that feels comfortable with such a silly conclusion. I can’t help feeling that if we could only answer the question of what it is that we want from these kids we lock up, we would suddenly see where we took a wrong turn. I have enough faith in American imagination and resourcefulness to believe that at that point we’d come up with a better way — in fact, a whole supermarket of better ways.

When we talk mathematics, we may be discussing a secondary language, built on the primary language truly used by the central nervous system. Thus the outward forms of our mathematics are not absolutely relevant from the point of view of evaluating what the mathematical or logical language truly used by the central nervous system is. However, the above remarks about reliability and logical and arithmetical depth prove that whatever the system is, it cannot fail to differ considerably from what we consciously and explicitly consider as mathematics.

Know, my son, that the enemy will always be with you. He will be in the shadow of your dreams and in your living flesh, for he is the other part of yourself. There will be times when he will surround you with walls of darkness. But remember always that your soul is secure to you, for your soul is entire, and that he cannot enter your soul, for your soul is part of God.

Let us remember that, despite the tasteless fables in the Holy Writ -- Sodom and Gomorrah, for example -- Nature does not have two voices; She does not create the appetite for buggery, then proscribe its practice. This fallacious proscription is the work of those imbeciles who seem unable to view sex as anything but an instrumentality for the multiplication of their own imbecilic kind. But I put it to you thusly: would it not be unreasonable for Nature, if she opposed buggery, to reward its practitioners with consummate pleasure at the very moment when they, by buggering, heap insults upon Her "natural" order? Furthermore, if procreation were the primary purpose of sex, would woman be created capable of conceiving during only sixteen to eighteen hours of each month -- and thus, all arithmetic being performed, during only four to six years of her total life span? No, child, let us not ascribe to Nature those prohibitions which we acquire through fear or prejudice; all things which are possible are natural; let no one ever persuade you otherwise.

Here we come to the central question of this book: What, precisely, does it mean to say that our sense of morality and justice is reduced to the language of a business deal? What does it mean when we reduce moral obligations to debts? What changes when the one turns into the other? And how do we speak about them when our language has been so shaped by the market? On one level the difference between an obligation and a debt is simple and obvious. A debt is the obligation to pay a certain sum of money. As a result, a debt, unlike any other form of obligation, can be precisely quantified. This allows debts to become simple, cold, and impersonal-which, in turn, allows them to be transferable. If one owes a favor, or one’s life, to another human being-it is owed to that person specifically. But if one owes forty thousand dollars at 12-percent interest, it doesn’t really matter who the creditor is; neither does either of the two parties have to think much about what the other party needs, wants, is capable of doing-as they certainly would if what was owed was a favor, or respect, or gratitude. One does not need to calculate the human effects; one need only calculate principal, balances, penalties, and rates of interest. If you end up having to abandon your home and wander in other provinces, if your daughter ends up in a mining camp working as a prostitute, well, that’s unfortunate, but incidental to the creditor. Money is money, and a deal’s a deal. From this perspective, the crucial factor, and a topic that will be explored at length in these pages, is money’s capacity to turn morality into a matter of impersonal arithmetic-and by doing so, to justify things that would otherwise seem outrageous or obscene. The factor of violence, which I have been emphasizing up until now, may appear secondary. The difference between a “debt” and a mere moral obligation is not the presence or absence of men with weapons who can enforce that obligation by seizing the debtor’s possessions or threatening to break his legs. It is simply that a creditor has the means to specify, numerically, exactly how much the debtor owes.

Cards and boards, [Johnny] thought. And the dead. That's not dark forces. Making a fuss about cards and heavy metal and going on about Dungeons and Dragons stuff because it's got demon gods in it is like guarding to door when it is really coming up through the floorboards. Real dark forces... aren't dark. They're sort of gray, like Mr. Grimm. They take all the color out of life; they take a town like Blackbury and turn it into frightened streets and plastic signs and Bright New Futures and towers where no one wants to live and no one really does live. The dead seem more alive than us. And everyone becomes gray and turns into numbers and then, somewhere, someone starts to do arithmetic...

What will that mean to each of you? “It will mean that those of you who might have lived to be seventy-one must die at seventy. Some of you who might have lived to be eighty-six must cough up your ghost at eighty-five. That’s a great age. A year more or less doesn’t sound like much. When the time comes, boys, you may regret. But, you will be able to say, this year I spent well, I gave for Pip, I made a loan of life for sweet Pipkin, the fairest apple that ever almost fell too early off the harvest tree. Some of you at forty-nine must cross life off at forty-eight. Some at fifty-five must lay them down to Forever’s Sleep at fifty-four. Do you catch the whole thing intact now, boys? Do you add the figures? Is the arithmetic plain? A year! Who will bid three hundred and sixty-five entire days from out his own soul, to get old Pipkin back? Think, boys. Silence. Then, speak.

Boy everyone in this country is running around yammering about their fucking rights. "I have a right, you have no right, we have a right." Folks I hate to spoil your fun, but... there's no such thing as rights. They're imaginary. We made 'em up. Like the boogie man. Like Three Little Pigs, Pinocio, Mother Goose, shit like that. Rights are an idea. They're just imaginary. They're a cute idea. Cute. But that's all. Cute...and fictional. But if you think you do have rights, let me ask you this, "where do they come from?" People say, "They come from God. They're God given rights." Awww fuck, here we go again...here we go again. The God excuse, the last refuge of a man with no answers and no argument, "It came from God." Anything we can't describe must have come from God. Personally folks, I believe that if your rights came from God, he would've given you the right for some food every day, and he would've given you the right to a roof over your head. GOD would've been looking out for ya. You know that. He wouldn't have been worried making sure you have a gun so you can get drunk on Sunday night and kill your girlfriend's parents. But let's say it's true. Let's say that God gave us these rights. Why would he give us a certain number of rights? The Bill of Rights of this country has 10 stipulations. OK...10 rights. And apparently God was doing sloppy work that week, because we've had to ammend the bill of rights an additional 17 times. So God forgot a couple of things, like...SLAVERY. Just fuckin' slipped his mind. But let's say...let's say God gave us the original 10. He gave the british 13. The british Bill of Rights has 13 stipulations. The Germans have 29, the Belgians have 25, the Sweedish have only 6, and some people in the world have no rights at all. What kind of a fuckin' god damn god given deal is that!?...NO RIGHTS AT ALL!? Why would God give different people in different countries a different numbers of different rights? Boredom? Amusement? Bad arithmetic? Do we find out at long last after all this time that God is weak in math skills? Doesn't sound like divine planning to me. Sounds more like human planning . Sounds more like one group trying to control another group. In other words...business as usual in America. Now, if you think you do have rights, I have one last assignment for ya. Next time you're at the computer get on the Internet, go to Wikipedia. When you get to Wikipedia, in the search field for Wikipedia, i want to type in, "Japanese-Americans 1942" and you'll find out all about your precious fucking rights. Alright. You know about it. In 1942 there were 110,000 Japanese-American citizens, in good standing, law abiding people, who were thrown into internment camps simply because their parents were born in the wrong country. That's all they did wrong. They had no right to a lawyer, no right to a fair trial, no right to a jury of their peers, no right to due process of any kind. The only right they had was...right this way! Into the internment camps. Just when these American citizens needed their rights the most...their government took them away. and rights aren't rights if someone can take em away. They're priveledges. That's all we've ever had in this country is a bill of TEMPORARY priviledges; and if you read the news, even badly, you know the list get's shorter, and shorter, and shorter. Yeup, sooner or later the people in this country are going to realize the government doesn't give a fuck about them. the government doesn't care about you, or your children, or your rights, or your welfare or your safety. it simply doesn't give a fuck about you. It's interested in it's own power. That's the only thing...keeping it, and expanding wherever possible. Personally when it comes to rights, I think one of two things is true: either we have unlimited rights, or we have no rights at all.

She liked numbers and sums. She devised a game in which each number was a family member and the “answer” made a family grouping with a story to it. Naught was a babe in arms. He gave no trouble. Whenever he appeared you just “carried” him. The figure 1 was a pretty baby girl just learning to walk, and easy to handle; 2 was a baby boy who could walk and talk a little. He went into family life (into sums, etc.) with very little trouble. And 3 was an older boy in kindergarten, who had to be watched a little. Then there was 4, a girl of Francie’s age. She was almost as easy to “mind” as 2. The mother was 5, gentle and kind. In large sums, she came along and made everything easy the way a mother should. The father, 6, was harder than the others but very just. But 7 was mean. He was a crotchety old grandfather and not at all accountable for how he came out. The grandmother, 8, was hard too, but easier to understand than 7. Hardest of all was 9. He was company and what a hard time fitting him into family life! When Francie added a sum, she would fix a little story to go with the result. If the answer was 924, it meant that the little boy and girl were being minded by company while the rest of the family went out. When a number such as 1024 appeared, it meant that all the little children were playing together in the yard. The number 62 meant that papa was taking the little boy for a walk; 50 meant that mama had the baby out in the buggy for an airing and 78 meant grandfather and grandmother sitting home by the fire of a winter’s evening. Each single combination of numbers was a new set-up for the family and no two stories were ever the same. Francie took the game with her up into algebra. X was the boy’s sweetheart who came into the family life and complicated it. Y was the boy friend who caused trouble. So arithmetic was a warm and human thing to Francie and occupied many lonely hours of her time.

Bradley Headstone, in his decent black coat and waistcoat, and decent white shirt, and decent formal black tie, and decent pantaloons of pepper and salt, with his decent silver watch in his pocket and its decent hair-guard round his neck, looked a thoroughly decent young man of six-and-twenty. He was never seen in any other dress, and yet there was a certain stiffness in his manner of wearing this, as if there were a want of adaptation between him and it, recalling some mechanics in their holiday clothes. He had acquired mechanically a great store of teacher's knowledge. He could do mental arithmetic mechanically, sing at sight mechanically, blow various wind instruments mechanically, even play the great church organ mechanically. From his early childhood up, his mind had been a place of mechanical stowage. The arrangement of his wholesale warehouse, so that it might be always ready to meet the demands of retail dealers history here, geography there, astronomy to the right, political economy to the left—natural history, the physical sciences, figures, music, the lower mathematics, and what not, all in their several places—this care had imparted to his countenance a look of care; while the habit of questioning and being questioned had given him a suspicious manner, or a manner that would be better described as one of lying in wait. There was a kind of settled trouble in the face. It was the face belonging to a naturally slow or inattentive intellect that had toiled hard to get what it had won, and that had to hold it now that it was gotten. He always seemed to be uneasy lest anything should be missing from his mental warehouse, and taking stock to assure himself.

Let us take a limited example and compare the war machine and the state apparatus in the context of the theory of games. Let us take chess and Go, from the standpoint of game pieces, the relations between the pieces and the space involved. Chess is a game of the State, or of the court: the emperor of China played it. Chess pieces are coded; they have an internal nature and intrinsic properties from which their movements, situations, and confrontations derive. They have qualities; a knight remains a knight, a pawn a pawn, a bishop a bishop. Each is like a subject of the statement endowed with relative power, and these relative powers combine in a subject of enunciation, that is, the chess player or the game’s form of interiority. Go pieces, I contrast, are pellets, disks, simple arithmetic units, and have only an anonymous, collective, or third-person function: “It” makes a move. “It” could be a man, a woman, a louse, an elephant. Go pieces are elements of a nonsubjectified machine assemblage with no intrinsic properties, only situational ones. Thus the relations are very different in the two cases. Within their milieu of interiority, chess pieces entertain biunivocal relations with one another, and with the adversary’s pieces: their functioning is structural. One the other hand, a Go piece has only a milieu of exteriority, or extrinsic relations with nebulas or constellations, according to which it fulfills functions of insertion or situation, such as bordering, encircling, shattering. All by itself, a Go piece can destroy an entire constellation synchronically; a chess piece cannot (or can do so diachronically only). Chess is indeed a war, but an institutionalized, regulated, coded war with a front, a rear, battles. But what is proper to Go is war without battle lines, with neither confrontation nor retreat, without battles even: pure strategy, whereas chess is a semiology. Finally, the space is not at all the same: in chess, it is a question of arranging a closed space for oneself, thus going from one point to another, of occupying the maximum number of squares with the minimum number of pieces. In Go, it is a question of arraying oneself in an open space, of holding space, of maintaining the possibility of springing up at any point: the movement is not from one point to another, but becomes perpetual, without aim or destination, without departure or arrival. The “smooth” space of Go, as against the “striated” space of chess. The nomos of Go against the State of chess, nomos against polis. The difference is that chess codes and decodes space, whereas Go proceeds altogether differently, territorializing and deterritorializing it (make the outside a territory in space; consolidate that territory by the construction of a second, adjacent territory; deterritorialize the enemy by shattering his territory from within; deterritorialize oneself by renouncing, by going elsewhere…) Another justice, another movement, another space-time.

I let them do some simple arithmetic. In a group of one hundred people, how many assholes are there? How many fathers who humiliate their children? How many morons whose breath stinks like rotten meat but who refuse to do anything about it? How many hopeless cases who go on complaining all their lives about the non-existent injustices they’ve had to suffer? Look around you, I said. How many of your classmates would you be pleased not to see return to their desks tomorrow morning? Think about that one family member of your own family, that irritating uncle with his pointless, horseshit stories at birthday parties, that ugly cousin who mistreats his cat. Think about how relieved you would be - and not only you, but virtually the entire family - if that uncle or cousin would step on a landmine or be hit by a five-hundred-pounder dropped from a high altitude. If that member of the family were to be wiped off the face of the earth. And now think about all those millions of victims of all the wars there have been in the past - I never specifically mentioned the Second World War, I used it as an example because it’s the one that most appeals to their imaginations - and think about the thousands, perhaps tens of thousands of victims who we need to have around like we need a hole in the head. Even from a purely statistical standpoint, it’s impossible that all those victims were good people, whatever kind of people that may be. The injustice is found more in the fact that the assholes are also put on the list of innocent victims. That their names are also chiselled into the war memorials.

We had better want the consequences of what we believe or disbelieve, because the consequences will come! . . . But how can a society set priorities if there are no basic standards? Are we to make our calculations using only the arithmetic of appetite? . . . The basic strands which have bound us together socially have begun to fray, and some of them have snapped. Even more pressure is then placed upon the remaining strands. The fact that the giving way is gradual will not prevent it from becoming total. . . . Given the tremendous asset that the family is, we must do all we can within constitutional constraints to protect it from predatory things like homosexuality and pornography. . . . Our whole republic rests upon the notion of “obedience to the unenforceable,” upon a tremendous emphasis on inner controls through self-discipline. . . . Different beliefs do make for different behaviors; what we think does affect our actions; concepts do have consequences. . . . Once society loses its capacity to declare that some things are wrong per se, then it finds itself forever building temporary defenses, revising rationales, drawing new lines—but forever falling back and losing its nerve. A society which permits anything will eventually lose everything! Take away a consciousness of eternity and see how differently time is spent. Take away an acknowledgement of divine design in the structure of life and then watch the mindless scurrying to redesign human systems to make life pain-free and pleasure-filled. Take away regard for the divinity in one’s neighbor, and watch the drop in our regard for his property. Take away basic moral standards and observe how quickly tolerance changes into permissiveness. Take away the sacred sense of belonging to a family or community, and observe how quickly citizens cease to care for big cities. Those of us who are business-oriented are quick to look for the bottom line in our endeavors. In the case of a value-free society, the bottom line is clear—the costs are prohibitive! A value-free society eventually imprisons its inhabitants. It also ends up doing indirectly what most of its inhabitants would never have agreed to do directly—at least initially. Can we turn such trends around? There is still a wealth of wisdom in the people of this good land, even though such wisdom is often mute and in search of leadership. People can often feel in their bones the wrongness of things, long before pollsters pick up such attitudes or before such attitudes are expressed in the ballot box. But it will take leadership and articulate assertion of basic values in all places and in personal behavior to back up such assertions. Even then, time and the tides are against us, so that courage will be a key ingredient. It will take the same kind of spunk the Spartans displayed at Thermopylae when they tenaciously held a small mountain pass against overwhelming numbers of Persians. The Persians could not dislodge the Spartans and sent emissaries forward to threaten what would happen if the Spartans did not surrender. The Spartans were told that if they did not give up, the Persians had so many archers in their army that they would darken the skies with their arrows. The Spartans said simply: “So much the better, we will fight in the shade!

Your Lordship tempts his servant to see whether he remembers the revelations imparted to him. Trifle not with me, my Lord; I crave, I thirst, for more knowledge. Doubtless we cannot see that other higher Spaceland now, because we have no eye in our stomachs. But, just as there was the realm of Flatland, though that poor puny Lineland Monarch could neither turn to left nor right to discern it, and just as there was close at hand, and touching my frame, the land of Three Dimensions, though I, blind senseless wretch, had no power to touch it, no eye in my interior to discern it, so of a surety there is a Fourth Dimension, which my Lord perceives with the inner eye of thought. And that it must exist my Lord himself has taught me. Or can he have forgotten what he himself imparted to his servant? In One Dimension, did not a moving Point produce a Line with two terminal points? In Two Dimensions, did not a moving Line produce a Square with four terminal points? In Three Dimensions, did not a moving Square produce—did not this eye of mine behold it—that blessed Being, a Cube, with eight terminal points? And in Four Dimensions shall not a moving Cube—alas, for Analogy, and alas for the Progress of Truth, if it be not so—shall not, I say, the motion of a divine Cube result in a still more divine Organization with sixteen terminal points? Behold the infallible confirmation of the Series, 2, 4, 8, 16: is not this a Geometrical Progression? Is not this—if I might quote my Lord’s own words—“strictly according to Analogy”? Again, was I not taught by my Lord that as in a Line there are two bounding Points, and in a Square there are four bounding Lines, so in a Cube there must be six bounding Squares? Behold once more the confirming Series, 2, 4, 6: is not this an Arithmetical Progression? And consequently does it not of necessity follow that the more divine offspring of the divine Cube in the Land of Four Dimensions, must have 8 bounding Cubes: and is not this also, as my Lord has taught me to believe, “strictly according to Analogy”? O, my Lord, my Lord, behold, I cast myself in faith upon conjecture, not knowing the facts; and I appeal to your Lordship to confirm or deny my logical anticipations. If I am wrong, I yield, and will no longer demand a fourth Dimension; but, if I am right, my Lord will listen to reason. I ask therefore, is it, or is it not, the fact, that ere now your countrymen also have witnessed the descent of Beings of a higher order than their own, entering closed rooms, even as your Lordship entered mine, without the opening of doors or windows, and appearing and vanishing at will? On the reply to this question I am ready to stake everything. Deny it, and I am henceforth silent. Only vouchsafe an answer.