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.
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 language | English |
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Title of host publication | Foundations of the Formal Sciences VII |
Subtitle of host publication | Bringing Together Philosophy and Sociology of Science |
Editors | Karen Francois, Bart Van Kerkhove, Benedikt Loewe, Thomas Mueller |
Publisher | College Publications |
Pages | 185-204 |
Number of pages | 19 |
ISBN (Print) | 9781848900493 |
Publication status | Published - 2011 |
Publication series
Name | Studies in Logic |
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Publisher | College Publications |
Volume | 32 |