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À Maneira de Um Colar de Pérolas?

À Maneira de Um Colar de Pérolas?

André Porto, “À Maneira de Um Colar de Pérolas?,” Revista Portuguesa de Filosofia 73, no. 3–4 (2017): 1381–1404, DOI 10.17990/RPF/2017_73_3_1381.

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À Maneira de Um Colar de Pérolas?

Type Journal Article
Author André Porto
Rights © 2018 Aletheia - Associação Científica e Cultural | © 2018 Revista Portuguesa de Filosofia
Volume 73
Issue 3-4
Pages 1381-1404
Publication Revista Portuguesa de Filosofia
ISSN 0870-5283; 2183-461X
Date 2017
DOI 10.17990/RPF/2017_73_3_1381
Language Portuguese
Abstract This paper offers an overview of various alternative formulations for Analysis, the theory of Integral and Differential Calculus, and its diverging conceptions of the topological structure of the continuum. We pay particularly attention to Smooth Analysis, a proposal created by William Lawvere and Anders Kock based on Grothendieck’s work on a categorical algebraic geometry. The role of Heyting’s logic, common to all these alternatives is emphasized.
Date Added 17/01/2018, 17:51:09
Modified 18/01/2018, 10:34:43

Tags:

  • continuum,
  • infinitesimals,
  • John Bell,
  • Lawvere-Kock axiom,
  • smooth analysis

Notes:

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    Spivak, Michael. Calculus. Londres: Addison Wesley Publishing Company, 1973.
    Van Heijenoort, Jean. From Frege to Gödel: a source book in Mathematical Logic, 1879-1931. Cambridge: Harvard, 1967.

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