Quotable Mathematics

“It is the constant aim of the mathematician to reduce all his expressions to their lowest terms, to retrench every superfluous word and ph...

"The prominent reason why a mathematician can be judged by none but mathematicians, is that he uses a peculiar language. The language o...

"Logicism is the school of thought that regards pure mathematics as a part of logic. […] If all mathematics can be expressed in purely ...

"The march of discovery has been so rapid that it has been difficult even for those directly engaged in the investigations to grasp at ...

"Because the individual parts of a complex adaptive system are continually revising their ('conditioned') rules for interaction...

"Things which do not now exist in the mind itself, can only be perceived, remembered, or imagined, by means of the ideas or images in t...

"Historically, the original purpose of the theory of probability was to describe the exceedingly narrow domain of experience connected ...

"If we seek a cause wherever we perceive symmetry, it is not that we regard a symmetrical event as less possible than the others, but, ...

"Probability has reference partly to our ignorance, partly to our knowledge [..] The theory of chance consists in reducing all the even...

"To understand the theory of chance thoroughly, requires a great knowledge of numbers, and a pretty competent one of Algebra." (Jo...