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Lautman and the Reality of Mathematics

Corfield, David Neil (2010) Lautman and the Reality of Mathematics. [Preprint]

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    Abstract

    Working in he 1930s, Albert Lautman described with extraordinary clarity the new understanding of mathematics of that time. He delighted in the multiple manifestations of a common idea in different mathematical fields. However, he took the common idea to belong not to mathematics itself, but to an 'ideal reality' sitting above mathematics. I argue in this paper that now that we have a mathematical language which can characterize these common ideas, we need not follow Lautman to adopt his form of Platonism. On the other hand, Lautman should be much better known than he is for pointing philosophy towards this most important feature of mathematics.


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    Item Type: Preprint
    Additional Information: This is the original English version which was translated for the version appearing in Philosophiques.
    Keywords: Lautman, mathematics, structure.
    Subjects: Specific Sciences > Mathematics
    Depositing User: David Corfield
    Date Deposited: 10 Jul 2012 15:38
    Last Modified: 10 Jul 2012 15:38
    Item ID: 9210
    Official URL: http://www.er.uqam.ca/nobel/philuqam/philosophique...
    URI: http://philsci-archive.pitt.edu/id/eprint/9210

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