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The Mathematical Philosophy of Giuseppe Peano

Published online by Cambridge University Press:  14 March 2022

Hubert C. Kennedy
Hubert C. Kennedy*
Affiliation:
Providence College
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Abstract

Because Bertrand Russell adopted much of the logical symbolism of Peano, because Russell always had a high regard for the great Italian mathematician, and because Russell held the logicist thesis so strongly, many English-speaking mathematicians have been led to classify Peano as a logicist, or at least as a forerunner of the logicist school. An attempt is made here to deny this by showing that Peano's primary interest was in axiomatics, that he never used the mathematical logic developed by him for the reduction of mathematical concepts to logical concepts, and that, instead, he denied the validity of such a reduction.

Type
Research Article
Information
Philosophy of Science , Volume 30 , Issue 3 , July 1963 , pp. 262 - 266
Copyright
Copyright © Philosophy of Science Association 1963

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