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Original Articles

Psychology in the foundations of logic and mathematics: the cases of boole, cantor and brouwer

Pages 33-53 | Received 27 Sep 1981, Published online: 29 Mar 2007
 

Abstract

In this paper I consider three mathematicians who allowed some role for menial processes in the foundations of their logical or mathematical theories. Boole regarded his Boolean algebra as a theory of mental acts; Cantor permitted processes of abstraction to play a role in his set theory; Brouwer took perception in time as a cornerstone of his intuitionist mathematics. Three appendices consider related topics.

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