Research output: Chapter in Book/Report/Conference proceeding › Chapter

**Albert Lautman: Dialectics in mathematics.** / Larvor, B.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Larvor, B 2011, Albert Lautman: Dialectics in mathematics. in K Francois, B Van Kerkhove, B Loewe & T Mueller (eds), *Foundations of the Formal Sciences VII: Bringing Together Philosophy and Sociology of Science.* Studies in Logic, vol. 32, College Publications, pp. 185-204. <http://www.math.uni-hamburg.de/home/loewe/FotFS/VII/Book/FotFS_VII_Larvor.pdf>

Larvor, B. (2011). Albert Lautman: Dialectics in mathematics. In K. Francois, B. Van Kerkhove, B. Loewe, & T. Mueller (Eds.), *Foundations of the Formal Sciences VII: Bringing Together Philosophy and Sociology of Science *(pp. 185-204). (Studies in Logic; Vol. 32). College Publications. http://www.math.uni-hamburg.de/home/loewe/FotFS/VII/Book/FotFS_VII_Larvor.pdf

Larvor B. Albert Lautman: Dialectics in mathematics. In Francois K, Van Kerkhove B, Loewe B, Mueller T, editors, Foundations of the Formal Sciences VII: Bringing Together Philosophy and Sociology of Science. College Publications. 2011. p. 185-204. (Studies in Logic).

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title = "Albert Lautman: Dialectics in mathematics",

abstract = "In this paper, I shall first explore Lautman{\textquoteright}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{\textquoteright}s {\textquoteleft}ontological{\textquoteright} distinction is less useful than Lautman seemed to believe.",

author = "B. Larvor",

year = "2011",

language = "English",

isbn = "9781848900493",

series = "Studies in Logic",

publisher = "College Publications",

pages = "185--204",

editor = "Karen Francois and {Van Kerkhove}, {Bart } and Benedikt Loewe and Thomas Mueller",

booktitle = "Foundations of the Formal Sciences VII",

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N2 - 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.

AB - 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.

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T3 - Studies in Logic

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EP - 204

BT - Foundations of the Formal Sciences VII

A2 - Francois, Karen

A2 - Van Kerkhove, Bart

A2 - Loewe, Benedikt

A2 - Mueller, Thomas

PB - College Publications

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