Screen LibraryWittgenstein, Mathematics and World /
This book uses Ludwig Wittgenstein s philosophical methodology to solve a problem that has perplexed thinkers for thousands of years: why does (abstract) mathematics applies so wonderfully well to the (concrete, physical) world? The book is distinctive in several ways. First, it gives the reader a r...
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| Published: |
Springer International Publishing : Imprint: Palgrave Macmillan,
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| Publisher Address: | Cham : |
| Publication Dates: | 2017. |
| Literature type: | eBook |
| Language: | English |
| Series: |
History of Analytic Philosophy
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| Online Access: |
http://dx.doi.org/10.1007/978-3-319-63991-8 |
| Summary: |
This book uses Ludwig Wittgenstein s philosophical methodology to solve a problem that has perplexed thinkers for thousands of years: why does (abstract) mathematics applies so wonderfully well to the (concrete, physical) world? The book is distinctive in several ways. First, it gives the reader a route into understanding important features of Wittgenstein s writings and lectures by using his methodology to tackle this long-standing and seemingly intractable philosophical problem. More than this, though, it offers an outline of important (sometimes little-known) aspects of the development of mathematical thought through the ages, and an engagement of Wittgenstein s philosophy with this and with contemporary philosophy of mathematics on its own terms. A clear overview of all this in the context of Wittgenstein s philosophy of mathematics is interesting in its own right; it is also just what is needed to solve the problem of mathematics and world. |
| Carrier Form: | 1 online resource (XIII, 215 pages): illustrations. |
| ISBN: | 9783319639918 |
| Index Number: | QA8 |
| CLC: | O1-0 |
| Contents: | Introduction -- Chapter 1: The Problem Posed -- Chapter 2: Fictionalism, Applicability, and Face Value -- Chapter 3: Infinity and Concept-Determination -- Chapter 4: The Hardness of the Logical Must -- Chapter 5: The Problem Solved -- Appendix 1: Groups, Transformations and Homomorphisms -- Appendix 2: A Representation Theorem. |