书目名称 | Foundational Theories of Classical and Constructive Mathematics |
编辑 | Giovanni Sommaruga |
视频video | |
概述 | One of the first confrontations of foundations of classical and foundations of constructive mathematics.A technical and philosophical treatment of the subject.An extensive philosophical reflection on |
丛书名称 | The Western Ontario Series in Philosophy of Science |
图书封面 |  |
描述 | .The book "Foundational Theories of Classical and Constructive Mathematics" is a book on the classical topic of foundations of mathematics. Its originality resides mainly in its treating at the same time foundations of classical and foundations of constructive mathematics. This confrontation of two kinds of foundations contributes to answering questions such as: Are foundations/foundational theories of classical mathematics of a different nature compared to those of constructive mathematics? Do they play the same role for the resp. mathematics? Are there connections between the two kinds of foundational theories? etc. The confrontation and comparison is often implicit and sometimes explicit. Its great advantage is to extend the traditional discussion of the foundations of mathematics and to render it at the same time more subtle and more differentiated. Another important aspect of the book is that some of its contributions are of a more philosophical, others of a more technical nature. This double face is emphasized, since foundations of mathematics is an eminent topic in the philosophy of mathematics: hence both sides of this discipline ought to be and are being paid due to.. |
出版日期 | Book 2011 |
关键词 | classical mathematics; constructive mathematics; foundations of mathematics; philosophy of mathematics |
版次 | 1 |
doi | https://doi.org/10.1007/978-94-007-0431-2 |
isbn_softcover | 978-94-007-3561-3 |
isbn_ebook | 978-94-007-0431-2Series ISSN 1566-659X Series E-ISSN 2215-1974 |
issn_series | 1566-659X |
copyright | Springer Science+Business Media B.V. 2011 |