Numbers In Nature Quotes & Sayings

At a time when threats to the physical environment have never been greater, it may be tempting to believe that people need to be mounting the barricades rather than asking abstract questions about the human place in nature. Yet without confronting such questions, it will be hard to know which barricades to mount, and harder still to persuade large numbers of people to mount them with us. To protect the nature that is all around us, we must think long and hard about the nature we carry inside our heads. — William Cronon

Mathematical analysis and computer modelling are revealing to us that the shapes and processes we encounter in nature -the way that plants grow, the way that mountains erode or rivers flow, the way that snowflakes or islands achieve their shapes, the way that light plays on a surface, the way the milk folds and spins into your coffee as you stir it, the way that laughter sweeps through a crowd of people - all these things in their seemingly magical complexity can be described by the interaction of mathematical processes that are, if anything, even more magical in their simplicity. Shapes that we think of as random are in fact the products of complex shifting webs of numbers obeying simple rules. The very word "natural" that we have often taken to mean "unstructured" in fact describes shapes and processes that appear so unfathomably complex that we cannot consciously perceive the simple natural laws at work.They can all be described by numbers. — Douglas Adams

In the Pythagorean system, thinking about numbers, or doing mathematics, was an inherently masculine task. Mathematics was associated with the gods, and with transcendence from the material world; women, by their nature, were supposedly rooted in this latter, baser realm. — Margaret Wertheim

Do we allow unlimited visitation, or do we restrict numbers to protect a delicate ecosystem? Do we heavily advertise the park, enticing paying visitors, generating needed money for Idaho's park department, or do we sacrifice financial benefits to better preserve natural ones? Do we log diseased trees, interfering with nature, or do we allow trees to rot and fall, possibly endangering lives? Do we inexpensively repair historic structures, or do we meticulously restore them? Do we maintain this park as closely as possible to the condition in which Idaho received it, or do we develop it for multiple uses; allow overnight visitors; permit all-terrain vehicles; provide paths for those unable to navigate unpaved trails? — Mary E. Reed

He read the veinings of a leaf, the pattern on a mushroom cap, and divined mysteries, relations, futures, possibilities: the magic of symbols, the foreshadowing of numbers and writing, the reduction of infinitudes and multiplicities to simplicity, to system, to concept. For all these ways of comprehending the world through the mind no doubt lay within him, nameless, unnamed, but not inconceivable, not beyond the bounds of presentiment, still in the germ, but essential to his nature, part of him, growing organically within him. And if we were to go still further back beyond this Rainmaker and his time which to us seems so early and primitive, if we were to go several thousand years further back into the past, wherever we found man we would still find - this is our firm belief - the mind of man, that mind which has no beginning and always has contained everything that it later produces. — Hermann Hesse

Under the Nazis enormous numbers of people were compelled to spend an enormous amount of time marching in serried ranks from point A to point B and back again to point A. "This keeping of the whole population on the march seemed to be a senseless waste of time and energy. Only much later," adds Hermann Rauschning, "was there revealed in it a subtle intention based on a well-judged adjustment of ends and means. Marching diverts men's thoughts. Marching kills thought. Marching makes an end of individuality. Marching is the indispensable magic stroke performed in order to accustom the people to a mechanical, quasi-ritualistic activity until it becomes second nature. — Aldous Huxley

Nature is not simply a technical or economical resource, and human beings are not mere numbers. To suggest that one can somehow align all the squabbling institutions of science, environmental management, government and diplomacy in an alliance of convenience to regulate the global climate seems to me optimistic. — James Buchan

Do I believe a thing has limits!? Of course! Nothing exists that doesn't have limits. Existence means there's always something else, and so everything has limits. Why is it so hard to conceive that a thing is a thing, and that it isn't always being some other thing that's beyond it?"

At that moment I felt in my bones not that I was talking to a man, but to another universe. I tried one last time, from another angle, which I felt compelled to consider legitimate.

"Look, Caeiro... think about numbers... Where do they end? Take any number - say 34. Past it we have 35, 36, 37, 38 - there can be no end to it. There is no number so big that there is no number larger..."

"But that's just numbers," protested my master Caeiro.

And then, looking at me out of his formidable, childlike eyes:

"What is 34 in Reality, anyway? — Alvaro De Campos

The drive to be useful is encoded in our genes. But when we gather in very large numbers, as in the modern nation-state, we seem capable of levels of folly and self-destruction to be found nowhere else in all of nature. But if we keep at it and keep alive, we are in for one surprise after another. We can build structures for human society never seen before, thoughts never heard before, music never heard before. — Lewis Thomas

Fruit of all the kinds that the country produced were laid before him; he ate very little, but from time to time a liquor prepared from cocoa, and of an aphrodisiac nature, as we were told, was presented to him in golden cups ... I observed a number of jars, above fifty, brought in, filled with foaming chocolate of which he took some ... — Bernal Diaz Del Castillo

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 ... — Terry Pratchett

Poor fish of Rodondo! in your victimized confidence, you are of the number of those who inconsiderately trust, while they do not understand, human nature. — Herman Melville

There is something deeply awe-inspiring about the sight of any living creatures in incomputable numbers; it stirs, perhaps, some atavistic chord whose note belongs more properly to the distant days when we were a true part of the animal ecology; when the sight of another species in unthinkable hosts brought fears or hopes no longer applicable. — Gavin Maxwell

Bealer has a number of reasons for thinking that a naturalistic epistemology is self-undermining. Let me focus on one of these. (I've tried to take on all of them in the first chapter of Knowledge and Its Place in Nature.) — Hilary Kornblith

Modern capitalism needs men who cooperate smoothly and in large numbers; who want to consume more and more; and whose tastes are standardized and can be easily influenced and anticipated ... what is the outcome? Modern man is alienated from himself, from his fellow man and from nature. — Erich Fromm

The enjoyment of the choicest natural scenes in the country and the means of recreation connected with them is thus a monopoly, in a very peculiar manner, of a very few very rich people. The great mass of society, including those to whom it would be of the greatest benefit, is excluded from it. In the nature of the case private parks can never be used by the mass of the people in any country nor by any considerable number even of the rich, except by the favor of a few, and in dependence on them. — Frederick Law Olmsted

There is only one universal language, which is the language of numbers and proportions that are so striking and stunningly built into the Great Pyramid and to which our current science has no appropriate response. We can no longer ignore that this ancient civilization was aware of our units used in modern mathematics and physics and were even aware of our metric system. Our metric system originating in the eighteenth century, designed and implemented by a committee of mathematicians and physicists commissioned by the French revolutionary government. — Willem Witteveen

I realise that in this undertaking I place myself in a certain opposition to views widely held concerning the mathematical infinite and to opinions frequently defended on the nature of numbers. — Georg Cantor

Sorgan tried his very best not to think about how long it must have taken for a stream that small to eat its way down through solid rock to form its current bed. Sorgan knew exactly what the word "hundred" meant, but when numbers wandered off toward "thousand" - or even "million" - and the people who used those terms were talking about years, Sorgan's mind shied back in horror. — David Eddings

There are no small number of people in this world who, solitary by nature, always try to go back into their shell like a hermit crab or a snail. — Anton Chekhov

Shakespeare is above all writers, at least above all modern writers, the poet of nature; the poet that holds up to his readers a faithful mirrour of manners and of life. His characters are not modified by the customs of particular places, unpractised by the rest of the world; by the peculiarities of studies or professions, which can operate but upon small numbers; or by the accidents of transient fashions or temporary opinions: they are the genuine progeny of common humanity, such as the world will always supply, and observation will always find. His persons act and speak by the influence of those general passions and principles by which all minds are agitated, and the whole system of life is continued in motion. In the writings of other poets a character is too often an individual; in those of Shakespeare it is commonly a species. — Samuel Johnson

The demise of higher education as a public good is also evident in light of the election of a number of right-wing politicians who are cutting funds for state universities and doing everything they can to turn them in training centers to fill the needs of corporations. This new and intense attack on both the social state and higher education completely undermines the public nature of what education is all about. — Henry Giroux

Nature constantly begins the same things over again, years, days, hours, spaces too. And numbers run end to end, one after another. This makes something in a way infinite and eternal. It is not that any of this is really infinite and eternal, but these finite entities multiply infinitely. Thus only number, which multiplies them, seems to me to be infinite. — Blaise Pascal

Well, my lord," Noorden said. "Imagine that you hear a tapping sound somewhere outside your tent. If it repeats occasionally, with no exact set pattern, then it might be the wind blowing a loose flap against a pole. However, if it repeats with exact regularity, you know that it must be a person, beating against a pole. You'd be able to make the distinction immediately, because you've learned that nature can be repetitive in a case like that, but not exact. These numbers are the same, my lord. They're just too organized, too repetitive, to be natural. They had to have been crafted by somebody. — Brandon Sanderson

The water beneath the Temple was both actual and metaphorical, existing as springs and streams, as spiritual energy, and as a symbol of the receptive or lunar aspect of nature.

The meaning of that principle is too wide and elusive for it to be given any one name, so in the terminology of ancient science it was given a number, 1,080. Its polar opposite, the positive, solar force in the universe, was also referred to as a number 666.

These two numbers, which have an approximate golden-section relationship of 1:1.62, were at the root of the alchemical formula that expressed the supreme purpose of the Temple. Its polar opposite, the positive, solar force in the universe, was also referred to as a number 666. Not merely was it used to generate energy from fusion of atmospheric and terrestrial currents, but it also served to combine in harmony all the correspondences of those forces on every level of creation. — John Michell

Wherefore also these Kinds [elements] occupied different places even before the universe was organised and generated out of them. Before that time, in truth, all these were in a state devoid of reason or measure, but when the work of setting in order this Universe was being undertaken, fire and water and earth and air, although possessing some traces of their known nature, were yet disposed as everything is likely to be in the absence of God; and inasmuch as this was then their natural condition, God began by first marking them out into shapes by means of forms and numbers. — Plato

I am a physicist, not a biologist. ... But I am very much excited by your article in May 30th Nature, and think that brings Biology over into the group of "exact" sciences. ... If your point of view is correct each organism will be characterized by a long number written in quadrucal (?) system with figures 1, 2, 3, 4 standing for different bases. ... This would open a very exciting possibility of theoretical research based on combinatorix and the theory of numbers! ... I have a feeling this can be done. What do you think? — James Gleick

There are large numbers of people in India below the poverty line, there are large numbers of people who lead a meager existence. They want to find a little escape from the hardships of life, and come and watch something colorful and exciting and musical. Indian cinema provides that. So yes, the content of our television and our cinema is escapist in nature because we are there to provide entertainment. — Amitabh Bachchan

Since those who believe they need a hero/celebrity outnumber the actual heroes/celebrities, people feel safe and comfortably justified in numbers, committing egregious crimes in the name of the greater social ego. Ironically diminishing their own true hero-celebrity nature in the process. — Lauryn Hill

If it be taught that all who are born have a right to support on the land, whatever be their number, and that there is no occasion to exercise any prudence in the affair of marriage so as to check this number, the temptations, according to all the known principles of human nature, will inevitably be yielded to, and more and more will gradually become dependent on parish assistance. — Thomas Malthus

Whether we live by the seaside, or by the lakes and rivers, or on the prarie, it concerns us to attend to the nature of fishes, since they are not phenomena confined to certain localities only, but forms and phases of the life in nature universally dispersed. The countless shoals which annually coast the shores of Europe and America are not so interesting to the student of nature as the more fertile law itselffrom which it results that they may be found in water in so many places, in greater or lesser numbers. — Henry David Thoreau

I thought that you would be frozen in awe when you found the sequence, when you heard a bird's song repeating my Morse code, my cry for help, my S.O.S, when you saw the same numbers in the petals of a flower and the structure of a pine cone, when you saw with your own eyes the interconnectedness of all things.
But I was wrong.
You searched for a male god, a creator, an intelligent designer, or you banished the beauty and mystery of the world beneath the cold concrete grave of closed-eye skepticism. The few of you who could still hear my music felt tortured and misunderstood; you reached out for any conspiracy theory large enough to explain your alienated despair, your sense that the Earth was dying and no one cared.
But listen to me -- you are not alone. Run your fingers through the grass and grab it in your fists, feel my pulse echoing through your blood. You. Are. Not. Alone. And I -- I am not dead yet. — Sarah Warden

Christ is of two natures, the human and the divine, and we are the same: we are of the human nature, but covered with the divine. He is the God-man, and we are the God-men. He is the ark made of wood covered with gold, and we are the boards made of wood covered with gold. In number we are different, but in nature we are exactly the same. — Witness Lee

Statistics should be substituted for truth, vote-counting for principles, numbers for rights, and public polls for morality - that pragmatic, range-of-the-moment expediency should be the criterion of a country's interests, and that the number of its adherents should be the criterion of an idea's truth or falsehood - that any desire of any nature whatsoever should be accepted as a valid claim, provided it is held by a sufficient number of people - that a majority may do anything it pleases to a minority - in short, gang rule and mob rule — Ayn Rand

Harp of the North, farewell! The hills grow dark,
On purple peaks a deeper shade descending;
In twilight copse the glow-worm lights her spark,
The deer, half seen, are to the covert wending.
Resume thy wizard elm! the fountain lending,
And the wild breeze, thy wilder minstrelsy;
Thy numbers sweet with nature's vespers blending,
With distant echo from the fold and lea,
And herd-boy's evening pipe, and hum of housing bee. — Walter Scott

Since we are assured that the all-wise Creator has observed the most exact proportions of number, weight and measure in the make of all things, the most likely way therefore to get any insight into the nature of those parts of the Creation which come within our observation must in all reason be to number, weigh and measure. — Stephen Hales

How much freedom I have depends on the number and nature of my options. And that, in turn, depends both on the rules of the game and on the assetts of the players: it is a very important and widely neglected truth that it does not depend on the rules of the game alone. — Gerald Cohen

But the nature of our civilized minds is so detached from the senses, even in the vulgar, by abstractions corresponding to all theabstract terms our languages abound in, and so refined by the art of writing, and as it were spiritualized by the use of numbers, because even the vulgar know how to count and reckon, that it is naturally beyond our power to form the vast image of this mistress called Sympathetic Nature. — Giambattista Vico

If E is considered to be a continuously divisible quantity, this distribution is possible in infinitely many ways. We consider, however-this is the most essential point of the whole calculation-E to be composed of a well-defined number of equal parts and use thereto the constant of nature h = 6.55 x10-27 erg sec. This constant multiplied by the common frequency ? of the resonators gives us the energy element E in erg, and dividing E by E we get the number P of energy elements which must be divided over the N resonators. — Max Planck

probably heard that math is the language of science, or the language of Nature is mathematics. Well, it's true. The more we understand the universe, the more we discover its mathematical connections. Flowers have spirals that line up with a special sequence of numbers (called Fibonacci numbers) that you can understand and generate yourself. Seashells form in perfect mathematical curves (logarithmic spirals) that come from a chemical balance. Star clusters tug on — Arthur Benjamin

What I assert and believe to have demonstrated in this and earlier works is that following the finite there is a transfinite (which one could also call the supra-finite), that is an unbounded ascending lader of definite modes, which by their nature are not finite but infinite, but which just like the finite can be determined by well-defined and distinguishable numbers. — Georg Cantor

First, I think it proper to express my unshaken opinion of the immortality of my soul or mind; and to dedicate and devote the same to the supreme head of the Universe - to that great and tremendous Jehovah, - Who created the universal frame of nature, worlds, and systems in number infinite ... To this awfully sublime Being do I resign my spirit with unlimited confidence of His mercy and protection ... — Henry Knox

Like all Xhosa children, I acquired knowledge mainly through observation. We were meant to learn through imitation and emulation, not through questions. When I first visited the homes of whites, I was often dumbfounded by the number and nature of questions that children asked of their parents-and their parents' unfailing willingness to answer them. In my household, questions were considered a nuisance; adults imparted information as they considered necessary. — Nelson Mandela

But even in the much-publicized rebellion of the young against the materialism of the affluent society, the consumer mentality is too often still intact: the standards of behavior are still those of kind and quantity, the security sought is still the security of numbers, and the chief motive is still the consumer's anxiety that he is missing out on what is "in." In this state of total consumerism - which is to say a state of helpless dependence on things and services and ideas and motives that we have forgotten how to provide ourselves - all meaningful contact between ourselves and the earth is broken. We do not understand the earth in terms either of what it offers us or of what it requires of us, and I think it is the rule that people inevitably destroy what they do not understand. — Wendell Berry

It seems important that the social value factor be more generally recognized as a powerful causal agent in its own right and something to be dealt with directly as such. No more critical task can be projected for the 1970s than that of seeking for civilized society a new, elevated set of value guidelines more suited to man's expanded numbers and new powers over nature, a frame of reference for value priorities that will act to secure and conserve our world instead of destroying it. — Roger Wolcott Sperry

Highly complex numbers like the Comma of Pythagoras, Pi and Phi (sometimes called the Golden Proportion), are known as irrational numbers. They lie deep in the structure of the physical universe, and were seen by the Egyptians as the principles controlling creation, the principles by which matter is precipitated from the cosmic mind.

Today scientists recognize the Comma of Pythagoras, Pi and the Golden Proportion as well as the closely related Fibonacci sequence are universal constants that describe complex patterns in astronomy, music and physics. ...

To the Egyptians these numbers were also the secret harmonies of the cosmos and they incorporated them as rhythms and proportions in the construction of their pyramids and temples. — Jonathan Black

many pairs of legs and with two great bat-like wings in the middle of the back. They sometimes walked on all their legs, and sometimes on the hindmost pair only, using the others to convey large objects of indeterminate nature. On one occasion they were spied in considerable numbers, a detachment of them wading along a shallow woodland watercourse three abreast in evidently disciplined formation. Once a specimen was seen flying - launching itself from the top of a bald, lonely hill at night and vanishing in the sky after its great flapping wings had been silhouetted an instant against the full moon. These — H.P. Lovecraft

We live our lives hiding from the things that displease and discomfort us. We reinvent ourselves and our history, constantly placing things in a light most favorable to us. It is in the nature of mankind to do this. Mostly, our deceptions are small ones. But they gather weight through numbers, and having them revealed all at once can be crushing. As well, there are larger truths that, exposed, seem more than we can bear, and so we hide them most carefully. — Terry Brooks

It is the age of numbers, isn't it? So we are numbers and the Elbees are words. We are mathemathics and they are poetry. We are winning and they are losing; and so of course they're afraid of us, it's like a struggle inside human nature itself, between what's mechanical and utilitarian in us and the part that loves and dreams. We all fear that the cold machine-like thing in human nature will destroy our magic and song. — Salman Rushdie

Whether we accept it or not, this will likely be the century that determines what the optimal human population is for our planet. It will come about in one of two ways:
Either we decide to manage our own numbers, to avoid a collision of every line on civilization's graph - or nature will do it for us, in the form of famines, thirst, climate chaos, crashing ecosystems, opportunistic disease, and wars over dwindling resources that finally cut us down to size. — Alan Weisman

If I should throw down a thousand beans at random upon a table, I could doubtless, by eliminating a sufficient number of them, leave the rest in almost any geometrical pattern you might propose to me, and you might then say that that pattern was the thing prefigured beforehand, and that the other beans were mere irrelevance and packing material. Our dealings with Nature are just like this. — William James

It's not that you have lost touch with these people. You haven't. It's just that they have kept in such close touch with each other. When scrolling through your cell phone, you generally let their numbers be highlighted for a second, hovering, and then move along to people you have spoken to within the last month. It's not that you're a bad friend to these people. It's just that you're not a great one. They know the names of each other's coworkers and the blow-by-blow nature of each other's dramas; they go camping in the Berkshires together and have such sentences in their conversational arsenal as "you left your lip gloss in my bathroom." You have no such sentences. Your connection to your friends is half-baked and you are starting to forget their siblings' names, never mind their coworkers. But you're still in the play even if you're no longer a main character. — Sloane Crosley

I know human nature. We might sacrifice a few, because we are stupid and hardwired for group survival. But we would never die in the thousands because a god wished it. Those kinds of numbers require material gains, like power, wealth, territory. — Ilona Andrews

Where you have complexity, by nature you can have fraud and mistakes. You'll have more of that than in a company that shovels sand from a river and sells it. This will always be true of financial companies, including ones run by governments. If you want accurate numbers from financial companies, you're in the wrong world. — Charlie Munger

Such [communistic] legislation may have a specious appearance of benevolence; men readily listen to it, and are easily induced to believe that in some wonderful manner everybody will become everybody's friend, especially when some one is heard denouncing the evils now existing in states, suits about contracts, convictions for perjury, flatteries of rich men and the like, which are said to arise out of the possession of private property. These evils, however, are due to a very different cause - the wickedness of human nature. Indeed, we see that there is much more quarrelling among those who have all things in common, though there are not many of them when compared with the vast numbers who have private property. — Aristotle.

We come astonishingly close to the mystical beliefs of Pythagoras and his followers who attempted to submit all of life to the sovereignty of numbers. Many of our psychologists, sociologists, economists and other latter-day cabalists will have numbers to tell them the truth or they will have nothing ... We must remember that Galileo merely said that the language of nature is written in mathematics. He did not say that everything is. And even the truth about nature need not be expressed in mathematics. For most of human history, the language of nature has been the language of myth and ritual. These forms, one might add, had the virtues of leaving nature unthreatened and of encouraging the belief that human beings are part of it. It hardly befits a people who stand ready to blow up the planet to praise themselves too vigorously for having found the true way to talk about nature. — Neil Postman

He had a sense of his dignity, which was of the most exquisite nature. He could detect a design upon it when nobody else had any perception of the fact. His life was made an agony by the number of fine scalpels that he felt to be incessantly engaged in dissecting his dignity. — Charles Dickens

But we have inherited a vast number of social ills which never came from Nature. They are the complicated products of all the tinkering, muddling, and blundering of social doctors in the past. — William Graham Sumner

There is scarcely an occurrence in nature which, happening at a certain time, is not looked upon by some persons as a prognosticator either of good or evil. The latter are in the greatest number, so much more ingenious are we in tormenting ourselves than in discovering reasons for enjoyment in the things that surround us. — Charles Mackay

I stand four-square for reason, and object to what seems to me to be irrationality, whatever the source.
If you are on my side in this, I must warn you that the army of the night has the advantage of overwhelming numbers, and, by its very nature, is immune to reason, so that it is entirely unlikely that you and I can win out.
We will always remain a tiny and probably hopeless minority, but let us never tire of presenting our view, and of fighting the good fight for the right. — Isaac Asimov

Be ahead of all parting, as if it had already happened,
like winter, which even now is passing.
For beneath the winter is a winter so endless
that to survive it at all is a triumph of the heart.

Be forever dead in Eurydice, and climb back singing.
Climb praising as you return to connection.
Here among the disappearing, in the realm of the transient,
be a ringing glass that shatters as it rings.

Be. And, at the same time, know what it is not to be.
The emptiness inside you allows you to vibrate
in full resonance with your world. Use it for once.

To all that has run its course, and to the vast unsayable
numbers of beings abounding in Nature,
add yourself gladly, and cancel the cost. — Rainer Maria Rilke

The unluckiest of the Caribbean's sick came, in search of cures: a poor woman who, since childhood, had been counting the beats of her heart so long that she had run out of numbers to count; a Jamaican who, because of the tormenting sound the stars made, never slept; a sleepwalker who rose from bed at night, and in sleep undid all the things he had done in waking; and many other ailments too, less serious in nature. — Gabriel Garcia Marquez

We teach boys to be such men as we are. We do not teach them to aspire to be all they can. We do not give them a training as if webelieved in their noble nature. We scarce educate their bodies. We do not train the eye and the hand. We exercise their understandings to the apprehension and comparison of some facts, to a skill in numbers, in words; we aim to make accountants, attorneys, engineers; but not to make able, earnest, great- hearted men. — Ralph Waldo Emerson

Without doubt, matter is unlimited in extent, and, in this sense, infinite; and the forces of Nature mould it into an innumerable number of worlds. Would it be at all astonishing if, from the universal dice-box, out of an innumberable number of throws, there should be thrown out one world infinitely perfect? Nay, does not the calculus of probabilities prove to us that one such world out of an infinite number, must be produced of necessity? — William Batchelder Greene

Numbers are unique, there is nothing like them and this book reveals something of their mysterious nature. Numbers are familiar to everyone and are our mainstay when we feel the need to bring order to chaos. In our own minds they epitomize measured rationality and are the key tool for expressing it. However, do they really exist? — Peter Michael Higgins

Generally speaking, our prisoners were capable of loving animals, and if they had been allowed they would have delighted to rear large numbers of domestic animals and birds in the prison. And I wonder what other activity could better have softened and refined their harsh and brutal natures than this. But it was not allowed. Neither the regulations nor the nature of the prison made it possible. — Fyodor Dostoyevsky

All through my life I never did believe in human measurement. Numbers, time, inches, feet. All are just ploys for cutting nature down to size. I know the grand scheme of the world is beyond our brains to fathom, so I don't try, just let it in. — Louise Erdrich

No Geologist worth anything is permanently bound to a desk or laboratory, but the charming notion that true science can only be based on unbiased observation of nature in the raw is mythology. Creative work, in geology and anywhere else, is interaction and synthesis: half-baked ideas from a bar room, rocks in the field, chains of thought from lonely walks, numbers squeezed from rocks in a laboratory, numbers from a calculator riveted to a desk, fancy equipment usually malfunctioning on expensive ships, cheap equipment in the human cranium, arguments before a road cut. — Stephen Jay Gould

Committees are, by nature, timid. They are based on the premise of safety in numbers; content to survive inconspicuously, rather than take risks and move independently ahead. Without independence, without the freedom for new ideas to be tried, to fail, and to ultimately succeed, the world will not move ahead, but rather live in fear of it's own potential — Ferdinand Porsche

Among innumerable footsteps of divine providence to be found in the works of nature, there is a very remarkable one to be observed in the exact balance that is maintained, between the numbers of men and women; for by this means is provided, that the species never may fail, nor perish, since every male may have its female, and of proportionable age. This equality of males and females is not the effect of chance but divine providence, working for a good end. — John Arbuthnot

While [Plato] affirmed with emphasis that the place of the individual in society should not be determined by birth or wealth or any conventional status, but by his own nature as discovered in the process of education, he had no perception of the uniqueness of individuals. For him they fall by nature into classes, and into a very small number of classes at that. — John Dewey

The nature of a letter can also be revealed within its numeric value. All letters and numbers behave in a certain but recognizable way, from which we can deduce its nature. The number two is the only even prime. There is an inherent mathematical dilemma with, "one." No matter how many times you multiply it, by itself, you still can't get past "one" (1 x 1 x 1 x 1 = 1). So, how does "one" move beyond itself? How does the same, produce the different?
Mathematically, "one" is forced to divide itself and work from that duality. Therein, hides the divine puzzle of bet (b). To become "two," the second must revolt from wholeness - a separation. Yet, the second could not have existed without the benefit of the original wholeness. Also, the first wanted the second to exist, but the first doesn't know what the second will become. Again, two contains potential badness, to a Hebrew. (Ge 25:24) — Michael Ben Zehabe

Certainly one of the most important things I learned is that numbers can be deceiving. There is a logic to mathematics, but there is also the underlying human element that must be considered. Numbers can't lie, but the people who create those numbers can and do. As so many people have learned, forgetting to include human nature in an equation can be devastating. — Harry Markopolos

According to the anthropic principle proponents, if the universal constants (e.g. gravitation, the strong force, etc.) were just a nose-hair off, the universe as we know it would not exist; stars wouldn't form and there would be no life and no us. That supposedly makes our universe truly special. To demonstrate just how ridiculous this fine-tuning argument is, consider the fact that no measurement in physics is perfect. All of them are approximations and have margins of error. That means the universal constants, that make our universe what it is, have some wiggle room. Within that wiggle room are an infinite quantity of real numbers. Each of those real numbers could represent constants that could make a universe like ours. Since there are an infinite number of potential constants within that wiggle room, there are an infinite number of potential universes, like ours, that could have existed in lieu of ours. Thus, there is really nothing special about our universe. — G.M. Jackson

The assumption that numbers and mathematical or logical laws are mental is due to the even more widespread notion that only particular sensible entities exist in nature, and that relations abstractions, or universals cannot have any such objective existence - hence they are given a shadowy existence in the mind. — Fulton J. Sheen

The gratification which affluence of wealth, extent of power, and eminence of reputation confer, must be always, by their own nature, confined to a very small number; and the life of the greater part of mankind must be lost in empty wishes and painful comparisons, were not the balm of philosophy shed upon us, and our discontent at the appearances of unequal distribution soothed and appeased. — Samuel Johnson

The northern ocean is beautiful, ... and beautiful the delicate intricacy of the snowflake before it melts and perishes, but such beauties are as nothing to him who delights in numbers, spurning alike the wild irrationality of life and baffling complexity of nature's laws. — John Lighton Synge

I tremble for my country when I reflect that God is just: that his justice cannot sleep forever: that, considering numbers, nature, and natural means only, a revolution of the wheel of fortune, an exchange of situation, is among possible events: that it may become probable by supernatural interference! The Almighty has no attribute which can take side with us in such a contest. — Thomas Jefferson

Others make a point of trying to attain the precision and poise they see in those who have the ability to choose from a great number of horses those with [ ... ] qualities found in only a very small number of horses. This leads to a circumstance in which these imitators of such studied poise mortify the spirit of a noble horse, and remove from it all of the goodness of temperament Nature has given it. — Francois Robichon De La Gueriniere

Hitherto it is questionable if all the mechanical inventions yet made have lightened the day's toil of any human being. They have enabled a greater population to live the same life of drudgery and imprisonment, and an increased number of manufacturers and others to make fortunes. They have increased the comforts of the middle classes. But they have not yet begun to effect those great changes in human destiny, which it is in their nature and in their futurity to accomplish. — John Stuart Mill

I conceived and developed a new geometry of nature and implemented its use in a number of diverse fields. It describes many of the irregular and fragmented patterns around us, and leads to full-fledged theories, by identifying a family of shapes I call fractals. — Benoit Mandelbrot

We live in a culture that's been hijacked by the management consultant ethos. We want everything boiled down to a Power Point slide. We want metrics and 'show me the numbers.' That runs counter to the immensely complex nature of so many social, economic and political problems. You cannot devise an algorithm to fix them. — Carl Honore

To aid and abet in the destruction of a single species or in the extermination of a single tribe is to commit a crime against God, a mortal sin against Mother Nature. Better by far to sacrifice in some degree the interests of mechanical civilization, curtail our gluttonous appetite for things, ever more things, learn to moderate our needs, and most important, and not difficult, learn to control, limit and gradually reduce our human numbers. We humans swarm over the planet like a plague of locusts, multiplying and devouring. There is no justice, sense or decency in this mindless global breeding spree, this obscene anthropoid fecundity, this industrialized mass production of babies and bodies, ever more bodies and babies. The man-centered view of the world in anti-Christian, anti-Buddhist, antinature, antilife, and
antihuman. — Edward Abbey

The sun's rays reflected beautifully upon the water, creating a magnificent glistening effect over the waves. The pier to the left was docking ships, while on the right, a ferry took off into the open waters. It was a beautiful sight to watch; how small everything looked in something as big as the ocean. It reminded me of people, how we were just a small part of what made up the world. Our numbers might be large, but we were not alone in this world. We were insignificant to nature. — Nicole Sobon

The evidence at present available points strongly to the conclusion that the spirals are individual galaxies, or island universes, comparable with our own galaxy in dimension and in number of component units. [Stating his conviction on the nature of nebulae during the Shapley-Curtis debate on 26 Apr 1920 to the National Academy of Sciences.] — Heber Doust Curtis

In abstract mathematics, of course operations alter those particular relations which are involved in the considerations of number and space, and the results of operations are those peculiar results which correspond to the nature of the subjects of operation. — Ada Lovelace