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portada Advances in Peircean Mathematics: The Colombian School
Type
Physical Book
Illustrated by
Publisher
Author
Language
English
Pages
228
Format
Hardcover
Dimensions
23.4 x 15.6 x 1.4 cm
Weight
0.50 kg.
ISBN13
9783110717617
Categories

Advances in Peircean Mathematics: The Colombian School

Fernando Zalamea (Illustrated by) · de Gruyter · Hardcover

Advances in Peircean Mathematics: The Colombian School - Zalamea, Fernando

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Synopsis "Advances in Peircean Mathematics: The Colombian School "

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.

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