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

History and Philosophy of Logic 3 (1):33-53 (1982)
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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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10.1080/01445348208837029

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Citations of this work

Non-Representational Mathematical Realism.María José Frápolli - 2015 - Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 30 (3):331-348.

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References found in this work

From Frege to Gödel.Jean Van Heijenoort (ed.) - 1967 - Cambridge,: Harvard University Press.
An Investigation of the Laws of Thought.George Boole - 1854 - [New York]: Dover Publications.
Autobiography.Bertrand Russell - 1975 - New York: Routledge.

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