Towards an Arithmetical Logic - The Arithmetical Foundations of Logic (Paperback, 1st ed. 2015)

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.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Studies in Universal Logic
Release date:	September 2015
First published:	2015
Authors:	Yvon Gauthier
Dimensions:	240 x 168 x 11mm (L x W x T)
Format:	Paperback
Pages:	184
Edition:	1st ed. 2015
ISBN-13:	978-3-319-22086-4
Categories:	Books > Science & Mathematics > Mathematics > Mathematical foundations > Mathematical logic Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry Books > Science & Mathematics > Mathematics > Number theory > General Promotions
LSN:	3-319-22086-1
Barcode:	9783319220864

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