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 Analysis and Design of Delayed Genetic Regulatory Networks by Yvon Gauthier
Cover of the book Industry 4.0 and Engineering for a Sustainable Future by Yvon Gauthier
Cover of the book Urological and Gynaecological Chronic Pelvic Pain by Yvon Gauthier
Cover of the book Energy Law in Brazil by Yvon Gauthier
Cover of the book The Impact of Education in South Asia by Yvon Gauthier
Cover of the book Portfolio Optimization Using Fundamental Indicators Based on Multi-Objective EA by Yvon Gauthier
Cover of the book Emergencies in Neuromuscular Disease by Yvon Gauthier
Cover of the book Practices for Network Management by Yvon Gauthier
Cover of the book The Monge-Ampère Equation by Yvon Gauthier
Cover of the book William Morris’s Utopianism by Yvon Gauthier
Cover of the book University of Toronto Mathematics Competition (2001–2015) by Yvon Gauthier
Cover of the book The British Role in Iranian Domestic Politics (1951-1953) by Yvon Gauthier
Cover of the book Advances in Cryptology – EUROCRYPT 2017 by Yvon Gauthier
Cover of the book New Perspectives on Mineral Nucleation and Growth by Yvon Gauthier
Cover of the book Management in the Digital Age 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