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Towards an Arithmetical Logic : The Arithmetical Foundations of Logic (Paperback) (Yvon Gauthier)

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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.

Number of Pages: 260.0
Genre: Mathematics
Sub-Genre: Logic
Series Title: Studies in Universal Logic
Format: Paperback
Publisher: Springer Verlag
Author: Yvon Gauthier
Language: English
Street Date: September 12, 2015
TCIN: 50415786
UPC: 9783319220864
Item Number (DPCI): 248-06-6438

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