Discussions of the foundations of mathematics and their history are frequently restricted to logical issues in a narrow sense, or else to traditional problems of analytic philosophy. From Dedekind to Gödel: Essays on the Development of the Foundations of Mathematics illustrates the much greater variety of the actual developments in the foundations during the period covered. The viewpoints that serve this purpose included the foundational ideas of working mathematicians, such as Kronecker, Dedekind, Borel and the early Hilbert, and the development of notions like model and modelling, arbitrary function, completeness, and non-Archimedean structures. The philosophers discussed include not only the household names in logic, but also Husserl, Wittgenstein and Ramsey. Needless to say, such logically-oriented thinkers as Frege, Russell and Gödel are not entirely neglected, either.
Audience: Everybody interested in the philosophy and/or history of mathematics will find this book interesting, giving frequently novel insights.
| ISBN: | 9789048145546 |
| Publication date: | 16th November 2010 |
| Author: | Jaakko Hintikka |
| Publisher: | Springer an imprint of Springer Netherlands |
| Format: | Paperback |
| Pagination: | 460 pages |
| Series: | Synthese Library |
| Genres: |
Philosophy: logic Mathematical logic History of mathematics Philosophical traditions and schools of thought Mathematical foundations |
Discussions of the foundations of mathematics and their history are frequently restricted to logical issues in a narrow sense, or else to traditional problems of analytic philosophy. From Dedekind to Gödel: Essays on the Development of the Foundations of Mathematics illustrates the much greater variety of the actual developments in the foundations during the period covered. The viewpoints that serve this purpose included the foundational ideas of working mathematicians, such as Kronecker, Dedekind, Borel and the early Hilbert, and the development of notions like model and modelling, arbitrary function, completeness, and non-Archimedean structures. The philosophers discussed include not only the household names in logic, but also Husserl, Wittgenstein and Ramsey. Needless to say, such logically-oriented thinkers as Frege, Russell and Gödel are not entirely neglected, either.
Audience: Everybody interested in the philosophy and/or history of mathematics will find this book interesting, giving frequently novel insights.
From Dedekind to Gödel features in the following genres: Philosophy: logic, Mathematical logic, History of mathematics, Philosophical traditions and schools of thought, Mathematical foundations
From Dedekind to Gödel is available in Paperback, Hardback
From Dedekind to Gödel was written by Jaakko Hintikka and published by Springer an imprint of Springer Netherlands
From Dedekind to Gödel has 460 pages
Yes it is part of Synthese Library series