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Philosophia Mathematica Advance Access published online on October 10, 2007
Philosophia Mathematica, doi:10.1093/philmat/nkm038
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Copyright © The Author 2007. Published by Oxford University Press.

Idealization in Cassirer's Philosophy of Mathematics{dagger}

Thomas Mormann*

* Department of Logic and Philosophy of Science, University of the Basque Country UPV/EHU, P.O. Box 1249, 20080 Donostia-San Sebastian, Spain

Correspondence: ylxmomot{at}sf.ehu.es

The notion of idealization has received considerable attention in contemporary philosophy of science but less in philosophy of mathematics. An exception was the ‘critical idealism’ of the neo-Kantian philosopher Ernst Cassirer. According to Cassirer the methodology of idealization plays a central role for mathematics and empirical science. In this paper it is argued that Cassirer's contributions in this area still deserve to be taken into account in the current debates in philosophy of mathematics.

{dagger} For extremely useful criticisms on earlier versions I am grateful to B.P. Larvor and another anonymous journal referee.


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