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Pure mathematics consists entirely of assertions to the effect that, if such and such a proposition is true of anything, then such and such another p… - Bertrand Russell
" "Pure mathematics consists entirely of assertions to the effect that, if such and such a proposition is true of anything, then such and such another proposition is true of that thing. It is essential not to discuss whether the first proposition is really true, and not to mention what the anything is, of which it is supposed to be true. Both these points would belong to applied mathematics. We start, in pure mathematics, from certain rules of inference, by which we can infer that if one proposition is true, then so is some other proposition. These rules of inference constitute the major part of the principles of formal logic. We then take any hypothesis that seems amusing, and deduce its consequences. If our hypothesis is about anything, and not about some one or more particular things, then our deductions constitute mathematics. Thus mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true. People who have been puzzled by the beginnings of mathematics will, I hope, find comfort in this definition, and will probably agree that it is accurate.
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About Bertrand Russell
Bertrand Arthur William Russell, 3rd Earl Russell (May 18, 1872 – February 2, 1970) was a British philosopher, logician, mathematician, historian, and social critic. In 1950, he was awarded a Nobel Prize in Literature.
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Birth Name:
Bertrand Arthur William Russell
Alternative Names:
Bertrand Russell, 3rd Earl Russell
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Bertrand Russell, Earl Russell
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Bertrand Arthur William Russell, 3rd Earl Russell
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Russell
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Shorter versions of this quote
Pure mathematics consists entirely of assertions to the effect that, if such and such a proposition is true of anything, then such and such another proposition is true of that thing. It is essential not to discuss whether the first proposition is really true, and not to mention what the anything is, of which it is supposed to be true. [...] Thus mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true. People who have been puzzled by the beginnings of mathematics will, I hope, find comfort in this definition, and will probably agree that it is accurate.
Additional quotes by Bertrand Russell
Most of us are not neutral in feeling, but, as human beings, we have to remember that, if the issues between East and West are to be decided in any manner that can give any possible satisfaction to anybody, whether Communist or anti-Communist, whether Asian or European or American, whether White or Black, then these issues must not be decided by war. We should wish this to be understood, both in the East and in the West.
To all the talented young men who wander about feeling that there is nothing in the world for them to do, I should say: 'Give up trying to write, and, instead, try not to write. Go out into the world; become a pirate, a king in Borneo, a labourer in Soviet Russia; give yourself an existence in which the satisfaction of elementary physical needs will occupy almost all your energies.' I do not recommend this course of action to everyone, but only to those who suffer from the disease which Mr Krutch diagnoses. I believe that, after some years of such an existence, the ex-intellectual will fin that in spite of is efforts he can no longer refrain from writing, and when this time comes his writing will not seem to him futile.
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