Towards an arithmetical logic [Documento electrónico] : the arithmetical foundations of logic / Yvon Gauthier
Language: eng.Country: US - United States of America.Publication: Cham : Springer International Publishing, Birkhäuser, 2015Description: XI, 184 p. : il.ISBN: 978-3-319-22087-1.Series: Studies in Universal LogicSubject - Topical Name: Lógica matemática Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT | Não Ficção | QA9.SPR. FCT 96687 (Browse shelf(Opens below)) | 1 | Available |
Colocação: Online
This book offers an original contribution to the foundations of logic and mathematics, and focuses on the internal logic of mathematical theories, from arithmetic or number theory to algebraic geometry. Arithmetical logic is the term used to refer to the internal logic of classical arithmetic, here called Fermat-Kronecker arithmetic, and combines Fermat’s method of infinite descent with Kronecker’s general arithmetic of homogeneous polynomials. The book also includes a treatment of theories in physics and mathematical physics to underscore the role of arithmetic from a constructivist viewpoint. The scope of the work intertwines historical, mathematical, logical and philosophical dimensions in a unified critical perspective; as such, it will appeal to a broad readership from mathematicians to logicians, to philosophers interested in foundational questions. Researchers and graduate students in the fields of philosophy and mathematics will benefit from the author’s critical approach to the foundations of logic and mathematics.
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