Advances in Peircean Mathematics : The Colombian School /
Advances in Peircean Mathematics : The Colombian School /
ed. by Fernando Zalamea.
- 1 online resource (XVI, 212 p.)
- Peirceana , 7 2698-7155 ; .
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 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.
Mode of access: Internet via World Wide Web.
In English.
9783110717617 9783110717716 9783110717631
10.1515/9783110717631 doi
Logic, Symbolic and mathematical.
Mathematics--Philosophy.
Existenzgraph.
Kontinuum.
Maxime.
Nichtklassische Logik.
Peirce, Charles S.
Pragmatismus.
PHILOSOPHY / Movements / Pragmatism.
Peirce's continuum. existential graphs. non-classical logics. pragmatic maxim.
QA9 / .A52 2023
511.3
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 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.
Mode of access: Internet via World Wide Web.
In English.
9783110717617 9783110717716 9783110717631
10.1515/9783110717631 doi
Logic, Symbolic and mathematical.
Mathematics--Philosophy.
Existenzgraph.
Kontinuum.
Maxime.
Nichtklassische Logik.
Peirce, Charles S.
Pragmatismus.
PHILOSOPHY / Movements / Pragmatism.
Peirce's continuum. existential graphs. non-classical logics. pragmatic maxim.
QA9 / .A52 2023
511.3