Logos Mathematica

“La matemática es el arte de dar el mismo nombre a cosas diferentes.” —Henri Poincaré


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“The only real valuable thing is intuition” — Albert Einstein

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“The introduction of numbers as coordinates is an act of violence.” — Hermann Weyl

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“Mathematics requires a small dose, not of genius, but of an imaginative freedom which, in a larger dose, would be insanity.” — Angus K. Rodgers

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“It is my experience that proofs involving matrices can be shortened by 50% if one throws the matrices out.” — Emil Artin


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“The purpose of computation is insight, not numbers.” — Richard Hamming

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“To ask the right question is harder than to answer it.” — Georg Cantor

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“Every dimension is special.” — Jeff Lagarias

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“From [Grothendieck], I have also learned not to take glory in the difficulty of a proof: difficulty means we have not understood. The idea is to be able to paint a landscape in which the proof is obvious.” — Pierre Deligne


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“Last time, I asked: ‘What does mathematics mean to you?’, and some people answered: ‘The manipulation of numbers, the manipulation of structures.’ And if I had asked what music means to you, would you have answered: ‘The manipulation of notes?” — Serge Lang

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“Such axioms, together with other unmotivated definitions, serve mathematicians mainly by making it difficult for the uninitiated to master their subject, thereby elevating its authority” — Vladmir Arnold

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“The art of doing mathematics is finding that special case that contains all the germs of generality.” — David Hilbert

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“So far as the theories of mathematics are about reality, they are not certain; so far as they are certain, they are not about reality.” — Albert Einstein


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“You know, for a mathematician, he did not have enough imagination. But he has become a poet and now he is fine.” — David Hilbert

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“Using the chain rule is like peeling an onion: you have to deal with each layer at a time, and if it is too big you will start crying.” — Unknown

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“Who has not be amazed to learn that the function , like a phoenix rising again from its own ashes, is its own derivative?” — Francois le Lionnais

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“Do not ask whether a statement is true until you know what it means.” — Errett Bishop


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“Calculus is all about making curvy things look straight.” — Unknown

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“Calculus required continuity, and continuity was supposed to require the infinitely little; but nobody could discover what the infinitely little might be.” — Bertrand Russell

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“One should never try to prove anything that is not almost obvious” — Alexander Grothendieck

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“We often hear that mathematics consists mainly of “proving theorems.” Is a writer’s job mainly that of “writing sentences?” — Gian-Carlo Rota


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“To many, mathematics is a collection of theorems. For me, mathematics is a collection of examples; a theorem is a statement about a collection of examples and the purpose of proving theorems is to classify and explain the examples.” — John B. Conway

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“The experimental verification of a theory concerning any natural phenomenon generally rests on the result of an integration.” — J. W. Mellor