Towards an Arithmetical Logic

The Arithmetical Foundations of Logic

Nonfiction, Science & Nature, Mathematics, Logic, History
Cover of the book Towards an Arithmetical Logic by Yvon Gauthier, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Yvon Gauthier ISBN: 9783319220871
Publisher: Springer International Publishing Publication: September 24, 2015
Imprint: Birkhäuser Language: English
Author: Yvon Gauthier
ISBN: 9783319220871
Publisher: Springer International Publishing
Publication: September 24, 2015
Imprint: Birkhäuser
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Liberalizations in Network Industries by Yvon Gauthier
Cover of the book Labour Market and Fiscal Policy Adjustments to Shocks by Yvon Gauthier
Cover of the book Building Energy Performance Assessment in Southern Europe by Yvon Gauthier
Cover of the book Racialized Labour in Romania by Yvon Gauthier
Cover of the book ECSCW 2015: Proceedings of the 14th European Conference on Computer Supported Cooperative Work, 19-23 September 2015, Oslo, Norway by Yvon Gauthier
Cover of the book Nonlinear Mode Decomposition by Yvon Gauthier
Cover of the book The Impact of Artists on Contemporary Urban Development in Europe by Yvon Gauthier
Cover of the book Beg to Differ by Yvon Gauthier
Cover of the book Modeling, Analysis, and Visualization of Anisotropy by Yvon Gauthier
Cover of the book Low Earth Orbit Satellite Design by Yvon Gauthier
Cover of the book The First Decade of Living with the Global Crisis by Yvon Gauthier
Cover of the book Multivariate Time Series With Linear State Space Structure by Yvon Gauthier
Cover of the book Advances in Integrated and Sustainable Supply Chain Planning by Yvon Gauthier
Cover of the book The ACP Group and the EU Development Partnership by Yvon Gauthier
Cover of the book Nutrient Use Efficiency in Plants by Yvon Gauthier
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy