TY  - BOOK
AU  - Arengas,Gustavo
AU  - Oostra,Arnold
AU  - Vargas,Francisco
AU  - Zalamea,Fernando
TI  - Advances in Peircean Mathematics: The Colombian School 
T2  - Peirceana ,
SN  - 9783110717617
AV  - QA9 .A52 2023
U1  - 511.3 23/eng/20230111
PY  - 2022///]
CY  - Berlin, Boston : 
PB  - De Gruyter, 
KW  - Logic, Symbolic and mathematical
KW  - Mathematics
KW  - Philosophy
KW  - Existenzgraph
KW  - Kontinuum
KW  - Maxime
KW  - Nichtklassische Logik
KW  - Peirce, Charles S
KW  - Pragmatismus
KW  - PHILOSOPHY / Movements / Pragmatism
KW  - bisacsh
KW  - Peirce's continuum
KW  - existential graphs
KW  - non-classical logics
KW  - pragmatic maxim
N1  - 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; Issued also in print
N2  - 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
UR  - https://doi.org/10.1515/9783110717631
UR  - https://www.degruyter.com/isbn/9783110717631
UR  - https://www.degruyter.com/document/cover/isbn/9783110717631/original
ER  -