Albert Lautman: Dialectics in mathematics

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Abstract

In this paper, I shall first explore Lautman’s conception of dialectics by a
consideration of his references to Plato and Heidegger. I shall then compare
the dialectical structures that he found in contemporary mathematics with
the model that emerges from his philosophical sources. I shall argue that the
structures that he discovered in mathematics are richer than his Platonist
model suggests, and that Heidegger’s ‘ontological’ distinction is less useful
than Lautman seemed to believe.
Original languageEnglish
Title of host publicationFoundations of the Formal Sciences VII
Subtitle of host publicationBringing Together Philosophy and Sociology of Science
EditorsKaren Francois, Bart Van Kerkhove, Benedikt Loewe, Thomas Mueller
PublisherCollege Publications
Pages185-204
Number of pages19
ISBN (Print)9781848900493
Publication statusPublished - 2011

Publication series

NameStudies in Logic
PublisherCollege Publications
Volume32

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