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Advances in Peircean Mathematics - The Colombian School (Hardcover)
Loot Price: R3,889
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Advances in Peircean Mathematics - The Colombian School (Hardcover)
Series: Peirceana
Expected to ship within 12 - 19 working days
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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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