Towards an Arithmetical Logic: The Arithmetical Foundations of Logic 2015 Edition Contributor(s): Gauthier, Yvon (Author) |
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ISBN: 3319220861 ISBN-13: 9783319220864 Publisher: Birkhauser OUR PRICE: $52.24 Product Type: Paperback Published: September 2015 |
Additional Information |
BISAC Categories: - Mathematics | Logic |
Dewey: 511.3 |
Series: Studies in Universal Logic |
Physical Information: 0.42" H x 6.69" W x 9.61" (0.71 lbs) 184 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. |