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Pure Mathematics is the class of all propositions of the form "p implies q," where p and q are propositions containing one or more variables, the sam… - Bertrand Russell
" "Pure Mathematics is the class of all propositions of the form "p implies q," where p and q are propositions containing one or more variables, the same in the two propositions, and neither p nor q contains any constants except logical constants. And logical constants are all notions definable in terms of the following: Implication, the relation of a term to a class of which it is a member, the notion of such that, the notion of relation, and such further notions as may be involved in the general notion of propositions of the above form. In addition to these, mathematics uses a notion which is not a constituent of the propositions which it considers, namely the notion of truth.
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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.
Biography information from Wikiquote
Also Known As
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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Additional quotes by Bertrand Russell
If a man is offered a fact which goes against his instincts, he will scrutinize it closely, and unless the evidence is overwhelming, he will refuse to believe it. If, on the other hand, he is offered something which affords a reason for acting in accordance to his instincts, he will accept it even on the slightest evidence. The origin of myths is explained in this way.
It is clear that thought is not free if the profession of certain opinions makes it impossible to earn a living. It is clear also that thought is not free if all the arguments on one side of a controversy are perpetually presented as attractively as possible, while the arguments on the other side can only be discovered by diligent search.
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