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- A mathematician is a person who can find analogies between theorems; a better mathematician is one who can see analogies between proofs… — Stefan Banach
- We have no knowledge, that is, no general principles drawn from the contemplation of particular facts, but what has been built up… — William Wordsworth
- If a mathematician wishes to disparage the work of one of his colleagues, say, A, the most effective method he finds for… — Alfred Tarski
- If intellectual curiosity, professional pride, and ambition are the dominant incentives to research, then assuredly no one has a fairer chance of… — G. H. Hardy
- The human race may well become extinct before the end of the century. Speaking as a mathematician, I should say the odds… — Bertrand Russell
- ...nature seems very conversant with the rules of pure mathematics, as our own mathematicians have formulated them in their studies, out of… — James Jeans
- It becomes the urgent duty of mathematicians, therefore, to meditate about the essence of mathematics, its motivations and goals and the ideas… — Richard Courant
- Mathematicians do not study objects, but relations between objects. — Henri Poincare
- We have already considered with disfavour the possibility of the universe having been planned by a biologist or an engineer; from the… — James Jeans
- For a long time the objects that mathematicians dealt with were mostly ill-defined; one believed one knew them, but one represented them… — Henri Poincare
- The existence of these patterns [fractals] challenges us to study forms that Euclid leaves aside as being formless, to investigate the morphology… — Benoit Mandelbrot
- Many errors, of a truth, consist merely in the application of the wrong names of things. For if a man says that… — Baruch Spinoza