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Carte Advances in Peircean Mathematics Fernando Zalamea

Advances in Peircean Mathematics

The Colombian School

Autor: Fernando Zalamea
Limbă: engleză
Legare: Carte broșată
Editura: De Gruyter
Disponibilitate: În depozitul extern
Expediem în 14-21 zile
93.27 lei
The book explores Peirce's non standard thoughts on a synthetic continuum, topological logics, exist...

Informații despre carte

Autor
Fernando Zalamea
Limbă
engleză
Legare
Carte - Carte broșată
Publicat
2022
Pagini
212
EAN
9783111521701
Enbook ID
45533858
Editura
De Gruyter
Greutate
497
Dimensiuni
155 x 230

Descriere completă

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.

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