Advances in Peircean Mathematics: The Colombian School (Paperback) (ISBN-13: 9783111521701)

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
ISBN-10: 3111521702
ISBN-13: 9783111521701
Publisher: de Gruyter
Language: English
Published: 06/17/2024
Pages: 228
Format: Paperback
Weight: 0.72lbs
Size: 9.21h x 6.14w x 0.48d