Mathematical Quotations


Mathematicians do not study objects, but relations among objects; they are indifferent to the replacement of objects by others as long as relations do not change. Matter is not important, only form interests them.
  --Henri Poincaré


I had a feeling once about Mathematics – that I saw it all. Depth beyond depth was revealed to me – the Byss and Abyss. But it was after dinner and I let it go.
  --Winston Churchill


A mathematician is a blind man in a dark room looking for a black cat which isn't there.
  --Charles Darwin


In the beginning everything is self-evident, and it is hard to see whether one self-evident proposition follows from another or not. Obviousness is always the enemy of correctness.
  --Bertrand Russell


Mathematicians are a species of Frenchmen: if you say something to them they translate it into their own language and presto! It is something entirely different.
  --Johann Wolfgang Goethe


Reductio ad absurdum, which Euclid loved so much, is one of a mathematician's finest weapons. It is a far finer gambit than any chess gambit: a chess player may offer the sacrifice of a pawn or even a piece, but a mathematician offers the game.
  --G. H. Hardy


This principle is so perfectly general that no particular application of it is possible.
  --George Polya


Life is good for only two things, discovering mathematics and teaching mathematics.
  --Siméon Poisson


What can I say about the exact sciences? Most of them seem to have already been carried forth to their highest stage of development. Arithmetic, geometry, algebra, and higher mathematics are sciences that can rightly be regarded as having been completed, as it were; and nothing more remains to be done with them except to find new areas of useful applications.
  --Augustin-Louis Cauchy (1811)


Cauchy is mad and there is nothing that can be done about him, although, right now, he is the only one who knows how mathematics should be done.
  --Niels Henrik Abel


And to auoide the tediouse repetition of these woordes: is equalle to: I will sette as I doe often in woorke use, a paire of parallels, or Gemove lines of one lengthe, thus: , bicause noe .2. thynges, can be moare equalle.
  --The invention of the "equals sign", Robert Recorde, The Whetstone of Witte. London, 1557


I could be bounded in a nutshell and count myself a king of infinite space.
  --William Shakespeare (Hamlet, Act II, Scene 2)


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 the measure of gold; the second we may name a precious jewel.
  --J. Kepler


Anything that has survived for centuries with such awesome notation must really be useful.
  --Ronald Graham, Donald Knuth, Oren Patashnik (Stanford University)


Science is a differential equation. Religion is a boundary condition.
  --Alan Turing


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