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 brillouinThat little monkey. The theorem was that he was too small to play in the NFL
howard cosellA mathematician, then, will be defined in what follows as someone who has published the proof of at least one non-trivial theorem.
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.
ferdinand eisensteinA proven theorem of game theory states that every game with complete information possesses a saddle point and therefore a solution.
richard arnold epsteinThe goys have proven the following theorem…
john von neumannA theorem is a proposition which is a strict logical consequence of certain definitions and other propositions
Anatol RapoportWe 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.
ronald fisherProfessor 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.
ronald fisherIn many cases a dull proof can be supplemented by a geometric analogue so simple and beautiful that the truth of a theorem is almost seen at a glance.
martin gardnerTo insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.
...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.
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.
A proven theorem of game theory states that every game with complete information possesses a saddle point and therefore a solution.
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.
Bell’s theorem is the most profound discovery of science.
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.
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.
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.
Our offense is like the pythagorean theorem: There is no answer!
I confess that Fermat's theorem as an isolated proposition has very little interest for me, because I could easily lay down a multitude of such propositions, which one could neither prove nor dispose of.
carl friedrich gaussGeometry 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.
johannes keplerComparatively 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.