We completely ignore the human value of the information . A selection of 100 letters is given a certain information value, and we do not investigate whether it makes sense in English, and, if so, whether the meaning of the sentence is of any practical importance. According to our definition, a set of 100 letters selected at random (according to the rules of Table 1.1), a sentence of 100 letters from a newspaper, a piece of Shakespeare or a **theorem** of Einstein are given exactly the same informational value.

— Léon Brillouin (1962)

We completely ignore the human value of the information. A selection of 100 letters is given a certain information value, and we do not investigate whether it makes sense in English, and, if so, whether the meaning of the sentence is of any practical importance. According to our definition, a set of 100 letters selected at random (according to the rules of Table 1.1), a sentence of 100 letters from a newspaper, a piece of Shakespeare or a **theorem** of Einstein are given exactly the same informational value.

— Léon Brillouin (1962).

A mathematician, then, will be defined in what follows as someone who has published the proof of at least one non-trivial **theorem**.

— Mathematics and Mathematicians (1992); published in

As a boy of six I could understand the proof of a mathematical **theorem** more readily than that meat had to be cut with one's knife, not one's fork.

—

A proven **theorem** of game theory states that every game with complete information possesses a saddle point and therefore a solution.

— Chapter Two, Mathematical Preliminaries, p. 36

The goys have proven the following **theorem**…

— Statement at the start of a classroom lecture, as quoted in

A **theorem** is a proposition which is a strict logical consequence of certain definitions and other propositions

— Rapoport, Anatol. "Various meanings of “theory”."

It is not so much whether a **theorem** is useful that matters, but how elegant it is.

— Chapter 15, Random Reflections on Mathematics and Science, p. 274

We may consequently state the fundamental **theorem** of Natural Selection in the form:;: The rate of increase in fitness of any organism at any time is equal to its genetic variance in fitness at that time.

— Defining the fundamental theorem of natural selection, Ch. 2, p. 35

Professor Eddington has recently remarked that 'The law that entropy always increases the second law of thermodynamics holds, I think, the supreme position among the laws of nature'. It is not a little instructive that so similar a law [the fundamental **theorem** of natural selection] should hold the supreme position among the biological sciences.

— On the fundamental theorem of natural selection, Ch. 2, p. 36

To insure the adoration of a **theorem** for any length of time, faith is not enough, a police force is needed as well.

— Albert Camus, in Memorable Quotations: Philosophers of Western Civilization 01-Jan-2000, p.47 Carol A. Dingle

...a **theorem** of propositional logic if and only if f(p1, p2 ,..., pn) is a tautology . ... He (Emil L.Post) uses the word to discuss the adequacy of a system of functions to express all the possible truth tables (this is nowadays called truth-functional completeness). In this way he shows not only that through the connectives of Principia (? and ?) one can generate all possible truth tables but also that there are only two connectives which can, singly generate all the truth tables.

— Emil L.Post, in The Adventure of Reason: Interplay Between Philosophy of Mathematics and ..., p.104

A proven **theorem** of game theory states that every game with complete information possesses a saddle point and therefore a solution.

— Richard Arnold Epstein (1977) ''

Analysis and natural philosophy owe their most important discoveries to this fruitful means, which is called induction. Newton was indebted to it for his **theorem** of the binomial and the principle of universal gravity.

— Laplace,

Bell’s **theorem** is the most profound discovery of science.

— Henry P. Stapp, "Bell's Theorem and World Process",

Physicists continue to debate whether Bell's **theorem** is airtight or not. However, the real question is not whether Bell can prove beyond doubt that reality is non-local, but whether the world is in fact non-local.

— Nick Herbert

Let us now (at last) state the basic **theorem**: If God exists, then God is identical to the Universe. That is, the **theorem** is a statement of conditional pandeism. If God exists at all, God must be absolutely everything that exists.

— Robert G. Brown, Ph.D., "The Pandeist Theorem,"

A deist who believes in God that is the Universe is a pandeist, and is not only compatible with the **theorem**, but is now affirmed in their conditional belief as being demonstrably proven as a **theorem** of information theory.

— Robert G. Brown, Ph.D., "Deism,"

Analysis and natural philosophy owe their most important discoveries to this fruitful means, which is called induction. Newton was indebted to it for his **theorem** of the binomial and the principle of universal gravity.

— Laplace,

I have discovered a truly remarkable proof of this **theorem** which this margin is too small to contain.

Cuius rei demonstrationem mirabilem sane detexi hanc marginis exiguitas non caperet.

— Note written on the margins of his copy of Claude-Gaspar Bachet's translation of the famous Arithmetica of Diophantus, this was taken as an indication of what became known as Fermat's last theorem, a correct proof for which would be found only 357 years later; as quoted in

Our offense is like the pythagorean **theorem**: There is no answer!

— American retired professional basketball player and sports analyst

Geometry has two great treasures; one is the **theorem** of Pythagoras; the other, the division of a line into extreme and mean ratio. The first we may compare to a measure of gold; the second we may name a precious jewel.

— As quoted in

Comparatively few of the propositions and proofs in the Elements are his [Euclid's] own discoveries. In fact, the proof of the "**theorem** of Pythagoras" is the only one directly ascribed to him.

— Florian Cajori,