Synthetic philosophy of contemporary mathematics

Synthetic philosophy of contemporary mathematics

by Zalamea, Fernando

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Title Statements

  • Full title :Synthetic philosophy of contemporary mathematics / Fernando Zalamea ; translated by Zachary Luke Fraser.

Edition Statements

  • Publication Date:©2012.

Publication Statements

Notes

"Originally published as Filosofía sintética de las matemáticas contemporáneas, Editorial Universidad Nacional de Colombia, 2009"--Title page verso.

The Physical Object

  • Description:385 pages : : illustrations ; : 18 cm

Edition Identifiers

  • ISBN:9780956775016, 0956775012
  • oclc:ocn826869026
  • LC Classification:QA8.4
  • Dewey Decimal:510.1

Table of Contents

Introduction : Options traditionally available to mathematical philosophy, and a prospectus of the essay -- pt. 1. The general environment of contemporary mathematics -- The specificity of modern and contemporary mathematics -- Advanced mathematics in teh tracts of mathematical philosophy : a bibliographical survey -- Toward a synthetic philosophy of contemporary mathematics -- pt. 2. Case studies -- Grothendieck : forms of high mathematical creativity -- Eidal mathematics : Serre, Langlands, Lawvere, Shelah -- Quiddital mathematics : Atiyah, Lax, Connes, Kontsevich -- Archeal mathematics : Freyd, Simpson, Zilber, Gromov -- pt. 3. Synthetic sketches -- Fragments of a transitory ontology -- Comparative epistemology and sheafification -- Phenomenology of mathematical creativity -- Mathematics and cultural circulation.

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