Advances in Peircean Mathematics

Advances in Peircean Mathematics

The Colombian School

Edited by Fernando Zalamea

$154.99

Publication Date: 7th November 2022

The book explores Peirce's non standard thoughts on a synthetic continuum, topological logics, existential graphs, and relational semiotics, offering full mathematical developments on these areas. ... Read More
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The book explores Peirce's non standard thoughts on a synthetic continuum, topological logics, existential graphs, and relational semiotics, offering full mathematical developments on these areas. ... Read More
Description

The book explores Peirce's non standard thoughts on a synthetic continuum, topological logics, existential graphs, and relational semiotics, offering full mathematical developments on these areas.

More precisely, the following new advances are offered: (1) two extensions of Peirce's existential graphs, to intuitionistic logics (a new symbol for implication), and other non-classical logics (new actions on nonplanar surfaces); (2) a complete formalization of Peirce's continuum, capturing all Peirce's original demands (genericity, supermultitudeness, reflexivity, modality), thanks to an inverse ordinally iterated sheaf of real lines; (3) an array of subformalizations and proofs of Peirce's pragmaticist maxim, through methods in category theory, HoTT techniques, and modal logics.

The book will be relevant to Peirce scholars, mathematicians, and philosophers alike, thanks to thorough assessments of Peirce's mathematical heritage, compact surveys of the literature, and new perspectives offered through formal and modern mathematizations of the topics studied.

Details
  • Price: $154.99
  • Pages: 228
  • Publisher: De Gruyter
  • Imprint: De Gruyter
  • Series: Peirceana
  • Publication Date: 7th November 2022
  • Illustration Note: 65 b/w and 5 col. ill., 3 b/w tbl.
  • ISBN: 9783110717617
  • Format: Hardcover
  • BISACs:
    PHILOSOPHY / History & Surveys / Modern
    MATHEMATICS / History & Philosophy
    SCIENCE / General
    PHILOSOPHY / Language
    PHILOSOPHY / Movements / Pragmatism
Author Bio

Fernando Zalamea, Universidad Nacional de Colombia, Bogotá, Colombia.

The book explores Peirce's non standard thoughts on a synthetic continuum, topological logics, existential graphs, and relational semiotics, offering full mathematical developments on these areas.

More precisely, the following new advances are offered: (1) two extensions of Peirce's existential graphs, to intuitionistic logics (a new symbol for implication), and other non-classical logics (new actions on nonplanar surfaces); (2) a complete formalization of Peirce's continuum, capturing all Peirce's original demands (genericity, supermultitudeness, reflexivity, modality), thanks to an inverse ordinally iterated sheaf of real lines; (3) an array of subformalizations and proofs of Peirce's pragmaticist maxim, through methods in category theory, HoTT techniques, and modal logics.

The book will be relevant to Peirce scholars, mathematicians, and philosophers alike, thanks to thorough assessments of Peirce's mathematical heritage, compact surveys of the literature, and new perspectives offered through formal and modern mathematizations of the topics studied.

  • Price: $154.99
  • Pages: 228
  • Publisher: De Gruyter
  • Imprint: De Gruyter
  • Series: Peirceana
  • Publication Date: 7th November 2022
  • Illustrations Note: 65 b/w and 5 col. ill., 3 b/w tbl.
  • ISBN: 9783110717617
  • Format: Hardcover
  • BISACs:
    PHILOSOPHY / History & Surveys / Modern
    MATHEMATICS / History & Philosophy
    SCIENCE / General
    PHILOSOPHY / Language
    PHILOSOPHY / Movements / Pragmatism

Fernando Zalamea, Universidad Nacional de Colombia, Bogotá, Colombia.