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.

Author: Fernando Zalamea
Publisher: de Gruyter
Published: 11/07/2022
Pages: 228
Binding Type: Hardcover
Weight: 1.10lbs
Size: 9.21h x 6.14w x 0.56d
ISBN13: 9783110717617
ISBN10: 3110717611
BISAC Categories:
- Philosophy | Movements | Pragmatism
- Mathematics | History & Philosophy
- Philosophy | History & Surveys | Modern

About the Author

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