Complexity Simplicity Quotes

Life is really simple, but we insist on making it complicated.

Any intelligent fool can make things bigger, more complex, and more violent. It takes a touch of genius — and a lot of courage to move in the opposite direction.

People who pride themselves on their "complexity" and deride others for being "simplistic" should realize that the truth is often not very complicated. What gets complex is evading the truth.

What is a genius? A person who demands little to nothing from others, but is often found extremely difficult to have around.

Simplicity is a great virtue but it requires hard work to achieve it and education to appreciate it. And to make matters worse: complexity sells better.

If our brains were simple enough for us to understand them, we'd be so simple that we couldn't.

When people complain of your complexity, they fail to remember that they made fun of your simplicity.

Out of intense complexities, intense simplicities emerge

Complex things are easy to do. Simplicity's the real challenge.

For the simplicity on this side of complexity, I wouldn't give you a fig. But for the simplicity on the other side of complexity, for that I would give you anything I have.

The greatest wisdom is in simplicity. Love, respect, tolerance, sharing, gratitude, forgiveness. It's not complex or elaborate. The real knowledge is free. It's encoded in your DNA. All you need is within you. Great teachers have said that from the beginning. Find your heart, and you will find your way.

Her complexity is a glorious fire that consumes, while her simplicity goes unapproachable. But if one takes time to understand her, there is something beautiful to find, something simple to be loved. But she goes unloved, for being misunderstood.

...the only simplicity to be trusted is the simplicity to be found on the far side of complexity.

Simplicities are enormously complex. Consider the sentence "I love you".

From innumerable complexities we must grow to simplicity; we must become simple in our inward life and in our outward needs.

As we live and as we are, Simplicity - with a capital "S" - is difficult to comprehend nowadays. We are no longer truly simple. We no longer live in simple terms or places. Life is a more complex struggle now. It is now valiant to be simple: a courageous thing to even want to be simple. It is a spiritual thing to comprehend what simplicity means.

The machinery of the world is far too complex for the simplicity of men.

Free yourself from the complexities of your life! A life of simplicity and happiness awaits you.

Simplicity is complex. It's never simple to keep things simple. Simple solutions require the most advanced thinking.

Human beings, viewed as behaving systems, are quite simple. The apparent complexity of our behavior over time is largely a reflection of the complexity of the environment in which we find ourselves.

The aim of science is to seek the simplest explanations of complex facts. We are apt to fall into the error of thinking that the facts are simple because simplicity is the goal of our quest. The guiding motto in the life of every natural philosopher should be, 'Seek simplicity and distrust it.

Cleverness isn't always true nor is the truth always clever.

Beauty is not in complexity but it's in simplicity.

People often associate complexity with deeper meaning, when often after precious time has been lost, it is realized that simplicity is the key to everything.

That’s been one of my mantras — focus and simplicity. Simple can be harder than complex: You have to work hard to get your thinking clean to make it simple. But it’s worth it in the end because once you get there, you can move mountains. [BusinessWeek, May 25 1998]

You need simplicity to create complexity

It [Darwin's theory of evolution] was a concept of such stunning simplicity, but it gave rise, naturally, to all of the infinite and baffling complexity of life. The awe it inspired in me made the awe that people talk about in respect of religious experience seem, frankly, silly beside it. I'd take the awe of understanding over the awe of ignorance any day.

Simplicity isn’t just a visual style. It’s not just minimalism or the absence of clutter. It involves digging through the depth of the complexity. To be truly simple, you have to go really deep.

As time moves on the line will blur. It will no longer seem to be the simplicity of good versus evil, but good versus fools who think they are good.

All things remarkable are surprisingly simple; albeit difficult to find.

The Winter Woman is as wild as a blizzard, as fresh as new snow. While some see her as cold, she has a fiery heart under that ice-queen exterior. She likes the stark simplicity of Japanese art and the daring complexity of Russian literature. She prefers sharp to flowing lines, brooding to pouting, and rock and roll to country and western. Her drink is vodka, her car is German, her analgesic is Advil. The Winter Woman likes her men weak and her coffee strong. She is prone to anemia, hysteria, and suicide.

He believed that he must, that he could and would recover the good things, the happy things, the easy tranquil things of life. He had made mistakes, but he could overlook these. He had been a fool, but that could be forgiven. The time wasted--must be relinquished. What else could one do about it? Things were too complex, but they might be reduced to simplicity again. Recovery was possible.

Simplicity is a bliss that makes one comprehend.

I was wondering aimlessly; too many road were open...too many resolves, too complex, allowed of being taken. I took...by far the simplest of them all.

If you are too busy to read, you are too busy.

The vanity of intelligence is that the intelligent man is often more committed to 'one-upping' his opponent than being truthful. When the idea of intelligence, rather than intelligence itself, becomes a staple, there is no wisdom in it.

An idiot admires complexity, a genius admires simplicity, a physicist tries to make it simple, for an idiot anything the more complicated it is the more he will admire it, if you make something so clusterfucked he can't understand it he's gonna think you're a god cause you made it so complicated nobody can understand it. That's how they write journals in Academics, they try to make it so complicated people think you're a genius

Tea is an act complete in its simplicity. When I drink tea, there is only me and the tea. The rest of the world dissolves. There are no worries about the future. No dwelling on past mistakes. Tea is simple: loose-leaf tea, hot pure water, a cup. I inhale the scent, tiny delicate pieces of the tea floating above the cup. I drink the tea, the essence of the leaves becoming a part of me. I am informed by the tea, changed. This is the act of life, in one pure moment, and in this act the truth of the world suddenly becomes revealed: all the complexity, pain, drama of life is a pretense, invented in our minds for no good purpose. There is only the tea, and me, converging.

For a child, it is in the simplicity of play that the complexity of life is sorted like puzzle pieces joined together to make sense of the world.

History is a litany of injustice, no one denies it. But when has a simple solution ever been anything but evil? Only in complexity do we find answers. Through complexity men struggle towards fairness; it is slow and clumsy, but it's the only way. Simplicity demands too great a sacrifice. It always has." - Lestat

What's simple is that everything good comes from God, and everything bad comes from man. Where it gets complicated is that everything seemingly good but ultimately bad comes from man, and everything seemingly bad but ultimately good comes from God.

The art of simplicity is a puzzle of complexity.

Happiness lies in simplicity Complexity brings anxiety.

One must learn to be simple, anyone can manage to be complex.

I believe it was the great ogre philosopher Gary who observed that complexity is, generally speaking, an illusion of conscious desire. All things exist in as simple a form as necessity dictates. When a thing is labeled 'complex,' that's just a roundabout way of saying you're not observant enough to understand it.

The whole idea of it makes me feel like I'm coming down with something, something worse than any stomach ache or the headaches I get from reading in bad light-- a kind of measles of the spirit, a mumps of the psyche, a disfiguring chicken pox of the soul. You tell me it is too early to be looking back, but that is because you have forgotten the perfect simplicity of being one and the beautiful complexity introduced by two. But I can lie on my bed and remember every digit. At four I was an Arabian wizard. I could make myself invisible by drinking a glass of milk a certain way. At seven I was a soldier, at nine a prince. But now I am mostly at the window watching the late afternoon light. Back then it never fell so solemnly against the side of my tree house, and my bicycle never leaned against the garage as it does today, all the dark blue speed drained out of it. This is the beginning of sadness, I say to myself, as I walk through the universe in my sneakers. It is time to say good-bye to my imaginary friends, time to turn the first big number. It seems only yesterday I used to believe there was nothing under my skin but light. If you cut me I could shine. But now when I fall upon the sidewalks of life, I skin my knees. I bleed.

In art, in history man fights his fears, he wants to live forever, he is afraid of death, he wants to work with other men, he wants to live forever. He is like a child afraid of death. The child is afraid of death, of darkness, of solitude. Such simple fears behind all the elaborate constructions. Such simple fears as hunger for light, warmth, love. Such simple fears behind the elaborate constructions of art. Examine them all gently and quietly through the eyes of a boy. There is always a human being lonely, a human being afraid, a human being lost, a human being confused. Concealing and disguising his dependence, his needs, ashamed to say: I am a simple human being in a too vast and complex world. Because of all we have discovered about a leaf...it is still a leaf. Can we relate to a leaf, on a tree, in a park, a simple leaf: green, glistening, sun-bathed or wet, or turning white because the storm is coming. Like the savage, let us look at the leaf wet or shining with sun, or white with fear of the storm, or silvery in the fog, or listless in too great heat, or falling in autumn, dying, reborn each year anew. Learn from the leaf: simplicity. In spite of all we know about the leaf: its nerve structure phyllome cellular papilla parenchyma stomata venation. Keep a human relation -- leaf, man, woman, child. In tenderness. No matter how immense the world, how elaborate, how contradictory, there is always man, woman, child, and the leaf. Humanity makes everything warm and simple. Humanity...

Black and white is mix of toughest simplicity and easiest complexity.

Simplicity is no longer presented as a virtue. The value of complex and difficult language has been preached with such insistence that the public has begun to believe the lack of clarity must be a sign of artistic talent.

simplicity piled upon simplicity creates complexity.

In its complexity and sensuality, nature invites exploration, direct contact, and experience. But it also inspires a sense of awe, a glimpse of what is still "un-Googleable" . . . life's mystery and magnitude.

Life has its beauty in its simplicity. Ugliness raises her head with complexity.

The emotional appeal of a conspiracy theory is in its simplicity. It explains away complex phenomena, accounts for chance and accidents, offers the believer the satisfying sense of having special, privileged access to the truth. For those who become the one-party state’s gatekeepers, the repetition of these conspiracy theories also brings another reward: power.

Creating simplicity often makes the heart leap; order has been restored, the crooked made straight. But order is understanding that things cannot be made simple, that complexity reigns and must be accepted.

Simple works, complex fails.

Simplicity takes time, patience & practice. Complexity offers too many excuses for failure

Technical skill is mastery of complexity while creativity is mastery of simplicity.

The goal of work is not to gain wealth and possessions, but to serve the common good and bring glory to God.

The structures were austere and simple, until one looked at them and realized what work, what complexity of method, what tension of thought had achieved the simplicity.

Truth reduces the terrible complexity of a man to the simplicity of his word,

Extreme right-wingers are known for giving God a bad name; extreme left-wingers are known for giving God a weak name. He's not as simple as conservative versus liberal, old versus new. His wings are balanced. God is both and neither.

Do something again and again, you build a practice, whether it is a practice of celebration or destruction of glorious simplicity or of simplicity that numbs, of complexity that challenges and grows you, or complexity that stultifies.

For complexity does not inevitably heighten a story's verisimilitude, or its power to convince; sometimes simplicity and economy make for a more vigorous exposition, propelling the drama forward.

Jesus Christ and all the writers of the New Testament call us to break free of mammon lust and live in joyous trust...They point us toward a way of living in which everything we have we receive as a gift, and everything we have is cared for by God, and everything we have is available to others when it is right and good. This reality frames the heart of Christian simplicity. It is the means of liberation and power to do what is right and to overcome the forces of fear and avarice.

Thinking is the hardest work we can do, and among the most important

Even when the truth is in fact simple, simplicity is still relative.

Reasoned, caring conversations that considered the complexity of other perspectives didn’t get views. Rants did. Outrage did. Simplicity did.

Human inventions march from the complex to the simple, and simplicity is always perfection.

We're very familiar with the idea that some things are so complex they're beyond our comprehension. This not only keeps us solving and experimenting but also distracted. Many things are really so simple we can't see them under our big noses.

I suspect that 'Kindness and Cruelty' and 'Mercy and Justice' all have secret affairs, as though they rendezvous only within certain sophisticated souls: those who hate being offensive, but love telling the truth.

Don't be fooled by the many books on complexity or by the many complex and arcane algorithms you find in this book or elsewhere. Although there are no textbooks on simplicity, simple systems work and complex don't.

Jesus was a man for simple people. He didn't make his messages incredibly complex. If you were a person that had the eyes to see and the ears to hear... then his message was easily understood.

Silence frees us from the need to control others. One reason we can hardly bear to remain silent is that it makes us feel so helpless. We are accustomed to relying upon words to manage and control others. A frantic stream of words flows from us in an attempt to straighten others out. We want so desperately for them to agree with us, to see things our way. We evaluate people, judge people, condemn people. We devour people with our words. Silence is one of the deepest Disciplines of the Spirit simply because it puts the stopper on that. When we become quiet enough to let go of people, we learn compassion for them.

Simplicity enables us to live lives of integrity in the face of the terrible realities of our global village.

[I am] someone who represents a very complex country which insists on being simple-minded. And simplicity, it occurs to me, it has occurred to me more than once, in my somewhat stormy life, simplicity is taken to be a great American virtue, along with sincerity. And the result of this is, if you are simple-minded enough, you can become—I didn’t want to go that far [laughs]. And as long as you’re sincere in what you say, you haven’t got to know what you’re talking about. These are the American virtues—two of them anyway. One of the results of this is that immaturity is taken to be a virtue too.

Something good happened to my writing when stopped being afraid to do something simple, for the fear that people might think I couldn’t do something more complex. Don’t be confused by the word simple. Simple is not easy, it is clear voiced, and fearlessly elegant.

I think there is a profound and enduring beauty in simplicity; in clarity, in efficiency. True simplicity is derived from so much more than just the absence of clutter and ornamentation. It's about bringing order to complexity.

Contrary to what most people say and believe, the simplicity is a great thing, i actually believe in - complexity is a fantastic thing and complex things should be approached in a complex way.

A complex system that works is invariably found to have evolved from a simple system that worked. A complex system designed from scratch never works and cannot be patched up to make it work. You have to start over with a working simple system

The theorem can be likened to a pearl, and the method of proof to an oyster. The pearl is prized for its luster and simplicity; the oyster is a complex living beast whose innards give rise to this mysteriously simple gem.

At the beginning of time, according to the great Western tradition, the Word of God transformed chaos into Being through the act of speech. It is axiomatic, within that tradition, that man and woman alike are made in the image of that God. We also transform chaos into Being, through speech. We transform the manifold possibilities of the future into the actualities of past and present. To tell the truth is to bring the most habitable reality into Being. Truth builds edifices that can stand a thousand years. Truth feeds and clothes the poor, and makes nations wealthy and safe. Truth reduces the terrible complexity of a man to the simplicity of his word, so that he can become a partner rather than an enemy. Truth makes the past truly past, and makes the best use of the future's possibilities. Truth is the ultimate, inexhaustible natural resource. It's the light in the darkness. See the truth. Tell the truth.

Complexity looks at simplicity and laughs at it for being too simple. But this is stupidity. Which is more valuable? The drop of pure rose oil or the cologne that mixes that one drop with many other things in order to make it affordable enough? It takes 60,000 roses to make a single ounce of rose oil. In simplicity there is value, there is meaning. Complexity is what happens when value and meaning are watered down. Don’t play games with pure-hearted people; they don’t need your rubbish. And don’t try to water them down so you can afford them.

And so I urge you to still every motion that is not rooted in the Kingdom. Become quiet, hushed, motionless until you are finally centered. Strip away all excess baggage and nonessential trappings until you have come into the stark reality of the Kingdom of God. Let go of all distractions until you are driven into the Core. Allow God to reshuffle your priorities and eliminate unnecessary froth. Mother Teresa of Calcutta said, 'Pray for me that I not loosen my grip on the hands of Jesus even under the guise of ministering to the poor.' That is our first task: to grip the hands of Jesus with such tenacity that we are obliged to follow his lead, to seek first his Kingdom.

He always reminded us that every atom in our bodies was once part of a distant star that had exploded. He talked about how evolution moves from simplicity toward complexity, and how human intelligence is the highest known expression of evolution. I remember him telling me that a frog's brain is much more complex than a star. He saw human consciousness as the first neuron of the universe coming to life and awareness. A spark in the darkness, waiting to spread to fire.

Perhaps you’re fascinated by the contours of my cheeks with skin like bed sheets that hide all of the complexities of what’s underneath, and present an image of simplicity (that is easier to digest than skipping heart beats for hairy legs). I wonder if these next six nights of not having to feel so alone will make you wondrous in keeping me as a bedside table: to place your hard times on before you get the forty winks your eyes need to glisten in the midday light of my bedroom. And it’s hard to fall back into sleep when I’ve fallen in love with studying the one that lies next to me. I wonder if you’ve found landscapes in my elbows like I’ve found ebbing tides in your forehead. Perhaps your love for me is fleeting, and you’ll have moments where you consider tearing yourself even further apart, but as soon as it’s possible you close your eyes again, fall out of the thought and back into sleep. But, perhaps you’ll keep me as a bedside table: to place your brain things in my cupboards, to place your step dad in my cupboards, to place your sad eyes in my drawers, to put your heart ache in my mouth, your desire for love in bite marks on my neck, and your misty breath in my ears whispering ‘you are so important to me’. -Bedside Table

The sea was cruel and selfish as human beings, and in its monstrous simplicity had no notion of complexities like pity, wounding, or remorse... You could see yourself in it... while the wind, the light, the swaying, the sound of the water on the hull worked the miracle of distancing, calming you until you didn't hurt anymore, erasing any pity, any wound, and any remorse.

God's blessing is not for personal aggrandizement, but to benefit and bless all the peoples of the earth. To understand the distinction makes all the difference in the world. The theology of wealth says, 'I give so that I can get.' Christian simplicity says, 'I get so that I can give.' The difference is profound.

In literature, too, we admire prose in which a small and astutely arranged set of words has been constructed to carry a large consignment of ideas. 'We all have strength enough to bear the misfortunes of others,' writes La Rochefoucauld in an aphorism which transports us with an energy and exactitude comparable to that of Maillard bridge. The Swiss engineer reduces the number of supports just as the French writer compacts into a single line what lesser minds might have taken pages to express. We delight in complexity to which genius has lent an appearance of simplicity. (p 207)

Plot is, I think, the good writer’s last resort and the dullard’s first choice. The story which results from it is apt to feel artificial and labored. I lean more heavily on intuition, and have been able to do that because my books tend to be based on situation rather than story. Some of the ideas which have produced those books are more complex than others, but the majority start out with the stark simplicity of a department store window display or a waxwork tableau. I want to put a group of characters (perhaps a pair; perhaps even just one) in some sort of predicament and then watch them try to work themselves free. My job isn’t to help them work their way free, or manipulate them to safety—those are jobs which require the noisy jackhammer of plot—but to watch what happens and then write it down.

My simple explanation of why we human beings, the most advanced species on earth, cannot find happiness, is this: as we evolve up the ladder of being, we find three things: the first, that the tension between the range of opposites in our lives and society widens dramatically and often painfully as we evolve; the second, that the better informed and more intelligent we are, the more humble we have to become about our ability to live meaningful lives and to change anything, even ourselves; and consequently, thirdly, that the cost of gaining the simplicity the other side of complexity can rise very steeply if we do not align ourselves and our lives well.

For us to deem a work of architecture elegant, it is hence not enough that it look simple: we must feel that the simplicity it displays has been hard won, that it flows from the resolution of demanding technical or natural predicament. Thus we call the Shaker staircase in Pleasant Hill elegant because we know--without ever having constructed one ourselves--that a staircase is a site complexity, and that combinations of treads, risers and banisters rarely approach the sober intelligibility of the Sharkers' work. We deem a modern Swiss house elegant because we not how seamlessly its windows have been joined to their concrete walls, and how neatly the usual clutter of construction has been resolved away. We admire starkly simple works that we intuit would, without immense effort, have appeared very complicated. (p 209)

But, and here comes the rub, all of us feel that we are in complete control of our desire for things. We would never admit to an ungovernable spirit of covetousness. The problem is that we, like the alcoholic, are unable to recognize the disease once we have been engulfed by it. Only by the help of others are we able to detect the inner spirit that places wealth about God. And we must come to fear the idolatrous state of covetousness because the moment things have priority, radical obedience becomes impossible.

The native American has been generally despised by his white conquerors for his poverty and simplicity. They forget, perhaps, that his religion forbade the accumulation of wealth and the enjoyment of luxury. To him, as to other single-minded men in every age and race, from Diogenes to the brothers of Saint Francis, from the Montanists to the Shakers, the love of possessions has appeared a snare, and the burdens of a complex society a source of needless peril and temptation. Furthermore, it was the rule of his life to share the fruits of his skill and success with his less fortunate brothers.

A complex system, contrary to what people believe, does not require complicated systems and regulations and intricate policies. The simpler, the better. Complications lead to multiplicative chains of unanticipated effects. Because of opacity, an intervention leads to unforeseen consequences, followed by apologies about the “unforeseen” aspect of the consequences, then to another intervention to correct the secondary effects, leading to an explosive series of branching “unforeseen” responses, each one worse than the preceding one. Yet simplicity has been difficult to implement in modern life because it is against the spirit of a certain brand of people who seek sophistication so they can justify their profession.

Dawes observed that the complex statistical algorithm adds little or no value. One can do just as well by selecting a set of scores that have some validity for predicting the outcome and adjusting the values to make them comparable (by using standard scores or ranks). A formula that combines these predictors with equal weights is likely to be just as accurate in predicting new cases as the multiple-regression formula that was optimal in the original sample. More recent research went further: formulas that assign equal weights to all the predictors are often superior, because they are not affected by accidents of sampling.

God, in the dream, illumined the animal's brutishness and he understood the reasons, and accepted his destiny; but when he awoke there was only a dark resignation, a valiant ignorance, for the machinery of the world is far too complex for the simplicity of a wild beast. Years later, Dante was dying in Ravenna, as unjustified and as lonely as any other man. In a dream, God declared to him the secret purpose of his life and work; Dante, in wonderment, knew at last who and what he was and blessed the bitterness of his life....upon waking, he felt that he had received and lost an infinite thing, something that he would not be able to recuperate or even glimpse, for the machinery of the world is much too complex for the simplicity of a man.

[Beware of] the fallacy of misplaced concreteness [mistaking an abstraction for concrete reality, for actuality] In the inescapable flux, there is something that abides; in the overwhelming permanence, there is an element that escapes into flux. Permanence can be snatched only out of flux; and the passing moment can find its adequate intensity only by its submission to permanence. Error is the price we pay for progress. In the real world it is more important that a proposition be interesting than that it be true. The importance of truth is that it adds to interest. Creativity is the universal of universals characterizing ultimate matter of fact. It is that ultimate principle by which the many, which are the universe disjunctively, become the one actual occasion, which is the universe conjunctively. It lies in the nature of things that the many enter into complex unity. The aim of science is to seek the simplest explanations of complex facts. We are apt to fall into the error of thinking that the facts are simple because simplicity is the goal of our quest. The guiding motto in the life of every natural philosopher should be, "Seek simplicity and distrust it." It requires a very unusual mind to undertake the analysis of the obvious. [From various of Whitehead's books, not only PR]

As always when he worked with this much concentration he began to feel a sense of introverting pressure. There was no way out once he was in, no genuine rest, no one to talk to who was capable of understanding the complexity (simplicity) of the problem or the approaches to a tentative solution. There came a time in every prolonged effort when he had a moment of near panic, or "terror in a lonely place," the original semantic content of the word. The lonely place was his own mind. As a mathematician he was free from subjection to reality, free to impose his ideas and designs on his own test environment. The only valid standard for his work, its critical point (zero or infinity), was the beauty it possessed, the deft strength of his mathematical reasoning. THe work's ultimate value was simply what it revealed about the nature of his intellect. What was at stake, in effect, was his own principle of intelligence or individual consciousness; his identity, in short. This was the infalling trap, the source of art's private involvement with obsession and despair, neither more nor less than the artist's self-containment, a mental state that led to storms of overwork and extended stretches of depression, that brought on indifference to life and at times the need to regurgitate it, to seek the level of expelled matter. Of course, the sense at the end of a serious effort, if the end is reached successfully, is one of lyrical exhilaration. There is air to breathe and a place to stand. The work gradually reveals its attachment to the charged particles of other minds, men now historical, the rediscovered dead; to the main structure of mathematical thought; perhaps even to reality itself, the so-called sum of things. It is possible to stand in time's pinewood dust and admire one's own veronicas and pavanes.

JESUS’S PATH WAS exactly that, a radically unmanageable simplicity—nothing held back, nothing held onto. It was almost too much for his followers to bear. Even within the gospels themselves, we see a tendency to rope him back in again, to turn his teachings into a manageable complexity. Take his radically simple saying: “Those who would lose their life will find it; and those who would keep it will lose it.” Very quickly the gospels add a caveat: “Those who would lose their life for my sake and the sake of the gospel will find it.” That may be the way you’ve always heard this teaching, even though most biblical scholars agree that the italicized words are a later addition. But you can see what this little addition has done: it has shifted the ballpark away from the transformation of consciousness (Jesus’s original intention) and into martyrdom, a set of sacrificial actions you can perform with your egoic operating system still intact. Right from

We know, however, that the mind is capable of understanding these matters in all their complexity and in all their simplicity. A ball flying through the air is responding to the force and direction with which it was thrown, the action of gravity, the friction of the air which it must expend its energy on overcoming, the turbulence of the air around its surface, and the rate and direction of the ball's spin. And yet, someone who might have difficulty consciously trying to work out what 3 x 4 x 5 comes to would have no trouble in doing differential calculus and a whole host of related calculations so astoundingly fast that they can actually catch a flying ball. People who call this "instinct" are merely giving the phenomenon a name, not explaining anything. I think that the closest that human beings come to expressing our understanding of these natural complexities is in music. It is the most abstract of the arts - it has no meaning or purpose other than to be itself. Every single aspect of a piece of music can be represented by numbers. From the organization of movements in a whole symphony, down through the patterns of pitch and rhythm that make up the melodies and harmonies, the dynamics that shape the performance, all the way down to the timbres of the notes themselves, their harmonics, the way they change over time, in short, all the elements of a noise that distinguish between the sound of one person piping on a piccolo and another one thumping a drum - all of these things can be expressed by patterns and hierarchies of numbers. And in my experience the more internal relationships there are between the patterns of numbers at different levels of the hierarchy, however complex and subtle those relationships may be, the more satisfying and, well, whole, the music will seem to be. In fact the more subtle and complex those relationships, and the further they are beyond the grasp of the conscious mind, the more the instinctive part of your mind - by which I mean that part of your mind that can do differential calculus so astoundingly fast that it will put your hand in the right place to catch a flying ball- the more that part of your brain revels in it. Music of any complexity (and even "Three Blind Mice" is complex in its way by the time someone has actually performed it on an instrument with its own individual timbre and articulation) passes beyond your conscious mind into the arms of your own private mathematical genius who dwells in your unconscious responding to all the inner complexities and relationships and proportions that we think we know nothing about. Some people object to such a view of music, saying that if you reduce music to mathematics, where does the emotion come into it? I would say that it's never been out of it.