Advances in Peircean Mathematics

The Colombian School
1. Auflage 2022
ISBN: 978-3-11-071761-7
Verlag: De Gruyter

Buch, Englisch, 212 Seiten, Format (B × H): 155 mm x 230 mm, Gewicht: 435 g

Reihe: ISSN

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.

Autoren/Hrsg.

Zalamea, Fernando

Fachgebiete

• Geisteswissenschaften Philosophie Moderne Philosophische Disziplinen Pragmatismus
• Geisteswissenschaften Sprachwissenschaft Sprachwissenschaften Sprachphilosophie
• Mathematik | Informatik Mathematik Mathematik Allgemein Philosophie der Mathematik
• Geisteswissenschaften Philosophie Geschichte der Westlichen Philosophie
• Geisteswissenschaften Philosophie Philosophie der Mathematik, Philosophie der Physik
• Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik

Über Autor(innen)

Fernando Zalamea, Universidad Nacional de Colombia, Bogotá, Colombia.