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Advances in Peircean Mathematics : The Colombian School / ed. by Fernando Zalamea.

Contributor(s): Material type: TextTextSeries: Peirceana ; 7Publisher: Berlin ; Boston : De Gruyter, [2022]Copyright date: ©2022Description: 1 online resource (XVI, 212 p.)Content type:
Media type:
Carrier type:
ISBN:
  • 9783110717617
  • 9783110717716
  • 9783110717631
Subject(s): DDC classification:
  • 511.3 23/eng/20230111
LOC classification:
  • QA9 .A52 2023
Other classification:
  • online - DeGruyter
Online resources: Available additional physical forms:
  • Issued also in print.
Contents:
Frontmatter -- Contents -- Dedication -- Acknowledgments -- Introduction -- 1 Category Theory Variations and Proofs of Peirce’s PragmaticistMaxim -- 2 A Full Model for Peirce’s Continuum -- 3 Intuitionistic and Geometrical Extensions of Peirce’s Existential Graphs -- 4 Around Arengas, Vargas, and Oostra Models for Peirce’s Thought -- Peirce Bibliography -- Secondary Bibliography -- Name Index -- Keyword Index
Summary: 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.
Holdings
Item type Current library Call number URL Status Notes Barcode
eBook eBook Biblioteca "Angelicum" Pont. Univ. S.Tommaso d'Aquino Nuvola online online - DeGruyter (Browse shelf(Opens below)) Online access Not for loan (Accesso limitato) Accesso per gli utenti autorizzati / Access for authorized users (dgr)9783110717631

Frontmatter -- Contents -- Dedication -- Acknowledgments -- Introduction -- 1 Category Theory Variations and Proofs of Peirce’s PragmaticistMaxim -- 2 A Full Model for Peirce’s Continuum -- 3 Intuitionistic and Geometrical Extensions of Peirce’s Existential Graphs -- 4 Around Arengas, Vargas, and Oostra Models for Peirce’s Thought -- Peirce Bibliography -- Secondary Bibliography -- Name Index -- Keyword Index

restricted access online access with authorization star

http://purl.org/coar/access_right/c_16ec

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.

Issued also in print.

Mode of access: Internet via World Wide Web.

In English.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 02. Mai 2023)