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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.
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.
Fernando Zalamea, Universidad Nacional de Colombia, Bogotá, Colombia.
| Erscheinungsjahr: | 2024 |
|---|---|
| Fachbereich: | Allgemeines |
| Genre: | Geisteswissenschaften, Kunst, Musik, Philosophie |
| Jahrhundert: | Antike |
| Rubrik: | Geisteswissenschaften |
| Thema: | Lexika |
| Medium: | Taschenbuch |
| Inhalt: |
XVI
212 S. 65 s/w Illustr. 5 farbige Illustr. 3 s/w Tab. 65 b/w and 5 col. ill. 3 b/w tbl. |
| ISBN-13: | 9783111521701 |
| ISBN-10: | 3111521702 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Redaktion: | Zalamea, Fernando |
| Herausgeber: | Fernando Zalamea |
| Auflage: | 1. Auflage |
| Hersteller: |
De Gruyter
de Gruyter, Walter, GmbH |
| Verantwortliche Person für die EU: | Walter de Gruyter GmbH, De Gruyter GmbH, Genthiner Str. 13, D-10785 Berlin, productsafety@degruyterbrill.com |
| Maße: | 230 x 155 x 13 mm |
| Von/Mit: | Fernando Zalamea |
| Erscheinungsdatum: | 17.06.2024 |
| Gewicht: | 0,345 kg |
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