A First Recourse to Genesis: Intentional Psychologism

in The Problem of Genesis in Husserl's Philosophy

Published by University of Chicago Press

Published in print June 2003 | ISBN: 9780226143156
Published online March 2013 | e-ISBN: 9780226143774 | DOI:
A First Recourse to Genesis: Intentional Psychologism

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This chapter explains the problem of the genesis of mathematics that has a scope according to the book The Philosophy of Arithmetic, which is the book of a disappointed mathematician. The problem of the genesis of mathematics is not yet treated as such by Husserl, but this is what is giving direction to his research. It is seen here that Husserl's psychologism is quite discrete from the psychologism of his time. Intentionality of consciousness would have allowed the reconciliation of the act of the constituting subject and the objectivity of logical meaning. Only intentionality finds the “a priori synthesis” and, through this, a genesis of number. Dissatisfied with his psychologism as he was with the mathematicians' logicism, Husserl gives up his researches on arithmetic. Hence, objectivity of essences will refer to a constituting subject that will no longer be psychological but logical.

Keywords: The Philosophy of Arithmetic; a priori synthesis; mathematical operation; genesis; mathematics; objectivity; intentionality; psychologism

Chapter.  7852 words. 

Subjects: Metaphysics

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