5 Mathematical Quotes & Sayings

I had made an empirical discovery and it carried all the weight of a mathematical proof. — Paul Auster

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 Theorem reste upon the validity of my longstanding argument that the world contains precisely two kinds of people:
Dumpers and Dumpees.
Everyone is predisposed to being either one or the other, but of course not all people are COMPLETE
Dumpers and Dumpees.
Hence the bell curve:
The majority of people fall somewhere close to the vertical dividing line with the occasional statisticaly outliner (e.g., me) representing a tiny percentage of overall individuals. The numerical expression of the graph can be something like 5 being extreme Dumper, and 0 being me. Ergo, if the Great One was a 4 and I am a 0, total size of the Dumper/Dumpee differetial = -4 (Assuming negative numbers if the guy is more of a Dumpee; positive if the girl is.) — John Green

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

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

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

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

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

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

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

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

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

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

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

Salander was up at 5:00 the next morning and hacked into the NSF Major Research Instrumentation supercomputer at the New Jersey Institute of Technology - she needed all the mathematical skills she could muster. — David Lagercrantz

We should expect nothing less from the language that was originally given by God, to His human family. Hebrew was the method that God chose for mankind to speak to Him, and Him to them. Adam spoke Hebrew - and your Bible confirms this. Everyone who got off the ark spoke one language - Hebrew.
Even Abraham spoke Hebrew. Where did Abraham learn to speak Hebrew? Abraham was descended from Noah's son, Shem. (Ge 11:10-26) Shem's household was not affected by the later confusion of languages, at Babel. (Ge 11:5-9) To the contrary, Shem was blessed while the rest of Babel was cursed. (Ge 9:26) That is how Abraham retained Hebrew, despite residing in Babylon.
So, Shem's language can be traced back to Adam. (Ge 11:1) And, Shem (Noah's son) was still alive when Jacob and Esau was 30 years of age. Obviously, Hebrew (the original language) was clearly spoken by Jacob's sons. (Ge 14:13) — Michael Ben Zehabe

appears on 3 and 7 in 1/8 quantization, it will move to 5 and 13 in 1/16 quantization. Likewise, it will move to 9 and 25 in 1/32 quantization. Refer to Table 5 and note that these pairs of numbers all represent the same moments in time.
How did I determine where the Snare would appear? It's simple. Let's take 1/16 quantization for example. To get the first number, multiply the denominator of the quantization by 1/4 and add 1 ((16 x 1/4) + 1 = 5). The second number is attained in a similar fashion. Multiply the denominator of the quantization by 3/4 and add 1 ((16 x 3/4) + 1 = 13). I told you it was easy. Using this mathematical algorithm — Ray F. Badness

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

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

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

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

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

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

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

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

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

Has the mathematical abilities of a Clydesdale. — David Letterman

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

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

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

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

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

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 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