| 书目名称 | Towards an Arithmetical Logic |
| 副标题 | The Arithmetical Fou |
| 编辑 | Yvon Gauthier |
| 视频video | |
| 概述 | Presents an original work on the foundations of logic and mathematics.Covers many topics in logic, mathematics and physics that are relevant to formal logic and the philosophy of science.Offers a new |
| 丛书名称 | Studies in Universal Logic |
| 图书封面 |  |
| 描述 | .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.. |
| 出版日期 | Book 2015 |
| 关键词 | Fermat’s infinite descent; Kronecker’s general arithmetic; arithmetical logic; constructive logic; found |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-22087-1 |
| isbn_softcover | 978-3-319-22086-4 |
| isbn_ebook | 978-3-319-22087-1Series ISSN 2297-0282 Series E-ISSN 2297-0290 |
| issn_series | 2297-0282 |
| copyright | Springer International Publishing Switzerland 2015 |
发表于 2025-3-21 19:55:54
