Non Mathematical Quotes & Sayings

The physicist may be satisfied when he has the mathematical scheme and knows how to use for the interpretation of the experiments. But he has to speak about his results also to non-physicists who will not be satisfied unless some explanation is given in plain language. Even for the physicist the description in plain language will be the criterion of the degree of understanding that has been reached.
Physics and Philosophy — Werner Heisenberg

The once-surprising existence of non-Euclidean models of Euclid's first four axioms can be seen as a sort of mathematical joke. — John Allen Paulos

no mathematical formula or econometric estimate can tell us exactly what tax rate ought to be applied to what level of income. Only collective deliberation and democratic experimentation can do that. — Thomas Piketty

The Quantified Self movement argues that the self is nothing but mathematical patterns. These patterns are so complex that the human mind has no chance of understanding them. So if you wish to obey the old adage and know thyself, you should not waste your time on philosophy, meditation or psychoanalysis, but rather you should systematically collect biometric data and allow algorithms to analyse them for you and tell you who your are and what you should do. — Yuval Noah Harari

The fact that you are even here, alive, on this planet is a mathematical miracle, and you should not spend the time that you have being busy being miserable. — Philip DeFranco

The practical man demands an appearance of reality at least. Always dealing in the concrete, he regards mathematical terms not as symbols or thought but as images of reality. A system acceptable to the mathematician because of its inner consistency may appear to the practical man to be full of contradictions because of the incomplete manner in which it represents reality. — Tobias Dantzig

I do not love to be printed on every occasion, much less to be dunned and teased by foreigners about mathematical things or to be thought by our own people to be trifling away my time about them when I should be about the king's business. — Isaac Newton

There are almost 200 currencies of the world, but there's only one international currency. There are almost 200 currencies controlled by central banks and governments, but there is only one mathematical currency today, and that is bitcoin. We are going to build more of them. Cryptographic currencies are going to be a mainstay of our financial future. They are going to be a part of the future of this planet because they have been invented. It's as simple as that. You cannot un-invent this technology. You cannot turn this omelette back into eggs. — Andreas M. Antonopoulos

The extraordinary fact is that the first idea I had which motivated me, that worked, is conjecture, a mathematical idea which may or may not be true. And that idea is still unproven. It is the foundation, what started me and what everybody failed to **** prove has so far defeated the greatest efforts by experts to be proven. — Benoit Mandelbrot

The mathematical difficulties of the theory of rotation arise chiefly from the want of geometrical illustrations and sensible images, by which we might fix the results of analysis in our minds. — James Clerk Maxwell

It is in this mutual dependence of the functions and the aid which they reciprocally lend one another that are founded the laws which determine the relations of their organs and which possess a necessity equal to that of metaphysical or mathematical laws, since it is evident that the seemly harmony between organs which interact is a necessary condition of existence of the creature to which they belong and that if one of these functions were modified in a manner incompatible with the modifications of the others the creature could no longer continue to exist. — Georges Cuvier

Among the thousand-and-one faces whereby form chooses to reveal itself to us, the one that fascinates me more than any other, and continues to fascinate me, is the structure hidden in mathematical things. — Alexander Grothendieck

Number, place, and combination ... the three intersecting but distinct spheres of thought to which all mathematical ideas admit of being referred. — James Joseph Sylvester

The mathematical likelihood that God exists is astronomical. But the idea that our limited human mentality can understand the true nature of God borders on the ridiculous. For this reason the religionist and the ahteist are equally naive. — Keith David Henry

No doubt there are some who, when confronted with a line of mathematical symbols, however simply presented, can only see the face of a stern parent or teacher who tried to force into them a non-comprehending parrot-like apparent competence
a duty and a duty alone
and no hint of magic or beauty of the subject might be allowed to come through. — Roger Penrose

In fact a few simple mathematical calculations reveal that if reference librarians were paid at market rates for all the roles they play, they would have salaries well over $200,000. — Will Manley

Photography does not form a separate, barren field of art. It is only a means of execution, uniform, rapid and sure, which serves the artist by reproducing with mathematical precision the form and effect of objects and even that poetry which at once arises from any harmonious combination. — Charles Negre

So far has Western society departed from the ancient taboos against murder, theft, and rape that we are now faced with juvenile delinquents who have no inner check against wantonly assaulting other human beings at random 'for kicks' while we have adult delinquents capable of deliberately planning the extermination of tens of millions of human beings, in carrying out, also doubtless for kicks, a mathematical theory of games. Today our civilization is relapsing into a state far more primitive, far more irrational, than any taboo-ridden society now known-for lack of any effective taboos. If Western man could establish an inviolate taboo against random extermination, our society would enjoy a far more effective safeguard against both private violence and still impending collective nuclear horrors than the United Nations or the fallible mechanisms of Fail-Safe. — Lewis Mumford

The first man to understand the extraordinary magical power of applying mathematical calculation to things in nature was an Italian called Galileo Galilei. — E.H. Gombrich

Nobody before the Pythagorean had thought that mathematical relations held the secret of the universe. Twenty-five centuries later, Europe is still blessed and cursed with their heritage. To non-European civilizations, the idea that numbers are the key to both wisdom and power, seems never to have occurred. — Arthur Koestler

Is that what happened to Mercier?" "No - not quite. In so far as I understood Sukhoi's work, it appeared that the zero-mass state would be very difficult to realise physically. As it neared the zero-mass state, the vacuum would be inclined to flip to the other side. Sukhoi called it a tunnelling phenomenon." Clavain raised an eyebrow. "The other side?" "The quantum-vacuum state in which matter has imaginary inertial mass. By imaginary I mean in the purely mathematical sense, in the sense that the square root of minus one is an imaginary number. Of course, you immediately see what that would imply." "You're talking about tachyonic matter," Clavain said. "Matter travelling faster than light. — Alastair Reynolds

Modern science was born through the Scientific Revolution in the 11th/17th century at a time when, as we saw earlier, European philosophy had itself rebelled against revelation and the religious world view. The background of modern science is a particular philosophical outlook which sees the parameters of the physical world, that is, space, time, matter and energy to be realities that are independent of higher orders of being and cut off from the power of God, at least during the unfolding of the history of the cosmos. It views the physical world as being primarily the subject of mathematicization and quatification and, in a sense, absolutizes the mathematical study of nature relegating the non-quantifiable aspects of physical existence to irrelevance. — Seyyed Hossein Nasr

I left Caen, where I was living, to go on a geological excursion under the auspices of the School of Mines. The incidents of the travel made me forget my mathematical work. Having reached Coutances, we entered an omnibus to go to some place or other. At the moment when I put my foot on the step, the idea came to me, without anything in my former thoughts seeming to have paved the way for it, that the transformations I had used to define the Fuchsian functions were identical with those of non-Euclidean geometry. I did not verify the idea; I should not have had time, as upon taking my seat in the omnibus, I went on with a conversation already commenced, but I felt a perfect certainty. On my return to Caen, for convenience sake, I verified the result at my leisure. — Henri Poincare

One day, when I was doing well in class and had finished my lessons, I was sitting there trying to analyze the game of tic-tac-toe ... The teacher came along and snatched my papers on which I had been doodling ... She did not realize that analyzing tic-tac-toe can lead into dozens of non-trivial mathematical questions. — Martin Gardner

The proof given by Wright, that non-adaptive differentiation will occur in small populations owing to "drift," or the chance fixation of some new mutation or recombination, is one of the most important results of mathematical analysis applied to the facts of neo-mendelism. It gives accident as well as adaptation a place in evolution, and at one stroke explains many facts which puzzled earlier selectionists, notably the much greater degree of divergence shown by island than mainland forms, by forms in isolated lakes than in continuous river-systems. — Julian Huxley

An essential pedagogic step here is to relegate the teaching of mathematical methods in economics to mathematics departments. Any mathematical training in economics, if it occurs at all, should come after students have at the very least completed course work in basic calculus, algebra and differential equations (the last being one about which most economists are woefully ignorant). This simultaneously explains why neoclassical economists obsess too much about proofs and why non-neoclassical economists, like those in the Circuit School, experience such difficulties in translating excellent verbal ideas about credit creation into coherent dynamic models of a monetary production economy. — Steve Keen

Petrie found nothing that disproved the pyramidologist's assumption that the Great Pyramid had been built according to a master plan. Indeed, he describes the Pyramid's architecture as being filled with extraordinary mathematical harmonies and concordances: those same strange symmetries that had so haunted the pyramidologist.

Petrie not only noted, for example, that the proportions of the reconstructed pyramid approximated to pi - which others have since elaborated to include those twin delights of Renaissance and pyramidological mathematicians, the Golden Section and the Fibonacci Series ... — John Romer

The meaning of a logically consistent mathematical statement is not subject to interpretation. — Edward Frenkel

I do not define time, space, place, and motion, as being well known to all. Only I must observe, that the common people conceive those quantities under no other notions but from the relation they bear to sensible objects. And thence arise certain prejudices, for the removing of which it will be convenient to distinguish them into absolute and relative, true and apparent, mathematical and common. — Isaac Newton

When I'm actually writing by hand, I get more of a sense of the rhythm of sentences, of syntax. The switch to the computer is when I actually start thinking about lines. That's the workhorse part. At that point, I'm being more mathematical about putting the poem on the page and less intuitive about the rhythm of the syntax. — Natasha Trethewey

I soon found an opportunity to be introduced to a famous professor Johann Bernoulli ... True, he was very busy and so refused flatly to give me private lessons; but he gave me much more valuable advice to start reading more difficult mathematical books on my own and to study them as diligently as I could; if I came across some obstacle or difficulty, I was given permission to visit him freely every Sunday afternoon and he kindly explained to me everything I could not understand ... — Leonhard Euler

The Reader may here observe the Force of Numbers, which can be successfully applied, even to those things, which one would imagine are subject to no Rules. There are very few things which we know, which are not capable of being reduc'd to a Mathematical Reasoning, and when they cannot, it's a sign our Knowledge of them is very small and confus'd; and where a mathematical reasoning can be had, it's as great folly to make use of any other, as to grope for a thing in the dark when you have a Candle standing by you. — John Arbuthnot

A mathematician says that an electromagnetic wave travels from Andromeda to your eye and that it also extends from Andromeda to your eye. — Bill Gaede

A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales. — Benoit Mandelbrot

Scientific research is compounded of ... empirical procedures, general speculative ideas, and mathematical or abstract reasoning. — James Bryant Conant

Has the mathematical abilities of a Clydesdale. — David Letterman

Always preoccupied with his profound researches, the great Newton showed in the ordinary-affairs of life an absence of mind which has become proverbial. It is related that one day, wishing to find the number of seconds necessary for the boiling of an egg, he perceived, after waiting a minute, that he held the egg in his hand, and had placed his seconds watch (an instrument of great value on account of its mathematical precision) to boil!
This absence of mind reminds one of the mathematician Ampere, who one day, as he was going to his course of lectures, noticed a little pebble on the road; he picked it up, and examined with admiration the mottled veins. All at once the lecture which he ought to be attending to returned to his mind; he drew out his watch; perceiving that the hour approached, he hastily doubled his pace, carefully placed the pebble in his pocket, and threw his watch over the parapet of the Pont des Arts. — Camille Flammarion

The calculus was the first achievement of modern mathematics and it is difficult to overestimate its importance. I think it defines more unequivocally than anything else the inception of modern mathematics; and the system of mathematical analysis, which is its logical development, still constitutes the greatest technical advance in exact thinking. — John Von Neumann

The 'Muse' is not an artistic mystery, but a mathematical equation. The gift are those ideas you think of as you drift to sleep. The giver is that one you think of when you first awake. — Roman Payne

Laplace would have found it child's-play to fix a ratio of progression in mathematical science between Descartes, Leibnitz, Newton and himself — Henry Adams

When physicists create a mathematical model of a physical process, they rely on the mathematical framework that can represent that process as closely as possible. When Newton developed a model of forces and motion, the appropriate mathematical framework was calculus. When Einstein developed a model of wave-particle motion, he relied on the mathematics of wave equations and eigenvalues. For many models in scientific computation, the computational framework that best aligns with our need is object orientation. — Anthony Scopatz

Wisdom is not mathematical, nor astronomical, nor zoological; when it talks too much of any one thing it ceases to be itself. There are wise physicists, but wisdom is not physical; there are wise physicians, but wisdom is not medical. — George Sarton

The 'seriousness' of a mathematical theorem lies, not in its practical consequences, which are usually negligible, but in the significance of the mathematical ideas which it connects. We may say, roughly, that a mathematical idea is 'significant' if it can be connected, in a natural and illuminating way, with a large complex of other mathematical ideas. Thus a serious mathematical theorem, a theorem which connects significant ideas, is likely to lead to important advances in mathematics itself and even in other sciences. — G.H. Hardy

It is generally believed that our science is empirical and that we draw our concepts and our mathematical constructs from the empirical data. If this were the whole truth, we should, when entering into a new field, introduce only such quantities as can directly be observed, and formulate natural laws only by means of these quantities. — Werner Heisenberg

The art of change-ringing is peculiar to the English, and, like most English peculiarities, unintelligible to the rest of the world. (The change-ringer's) passion - and it is a passion - finds its satisfaction in mathematical completeness and mechanical perfection, and as his bell weaves her way rhythmically up from lead to hinder place and down again, he is filled with the solemn intoxication that comes of intricate ritual faultlessly performed. — Dorothy L. Sayers

Economists who speak the English tongue are strangely intimidated by mathematical symbols. — Al Nichol

Of course, the set of logically consistent mathematical structures is many times larger than the set of physical principles. Therefore, some mathematical structures, such as number theory (which some mathematicians claim to be the purest branch of mathematics), have never been incorporated into any physical theory. Some argue that this situation may always exist: Perhaps the human mind will always be able to conceive of logically consistent structures that cannot be expressed through any physical principle. However, there are indications that string theory may soon incorporate number theory into its structure as well. — Michio Kaku

He had a particular facination with the I Ching, that art of tossing three coins three times and divining a pattern out of heads and tails. Pete would begin with questions:
What determined the pattern? Was it random? Was it a higher power? Was is mathematical? Wasn't poker based on mathematical probability and not just luck? Did that mean randomness was actually mathematical? And if the I Ching was governed by mathematics, hey, wouldn't that mean the I Ching was actually predictable, a prescribed answer? And if it was prescribed, did that mean that your life followed the I Ching, like some sort of equation? Or did the I Ching simply capture correctly what had already been determined as the next series of events in your life? — Amy Tan