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  • © 2017

Wittgenstein, Mathematics and World

Palgrave Macmillan

Authors:

  • Takes an accessible approach: written by an experienced educator and academic who is able to make complex concepts instantly relatable
  • Provides an introduction to the history of mathematics and its applications, as well as engaging with Wittgenstein's own work
  • Presents a highly original philosophical argument, including a defence of Wittgenstein's relationship with mathematical philosophy and engagement with contemporary fictionalism
  • Includes supplementary material: sn.pub/extras

Part of the book series: History of Analytic Philosophy (History of Analytic Philosophy)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xiii
  2. The Problem Posed

    • Bob Clark
    Pages 1-30
  3. Fictionalism

    • Bob Clark
    Pages 31-76
  4. Infinity and Concept-Determination

    • Bob Clark
    Pages 77-120
  5. The Logical Must

    • Bob Clark
    Pages 121-143
  6. The Problem Solved

    • Bob Clark
    Pages 145-179
  7. Back Matter

    Pages 181-215

About this book

This book uses Ludwig Wittgenstein’s philosophical methodology to solve a problem that has perplexed thinkers for thousands of years: 'how come (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.

Reviews

“It is written using concise and clear language, with interesting mathematical examples and with an effort to make the polemics that are engaged in the book as clear as possible. There is a clear route leading one from the formulation of the problem to the final solution, and the reader is led from chapter to chapter to form an overview of the problem and the ingredients for its solution” (Jonas Rafael Becker Arenhart, Mathematical reviews, September, 2018)​

Authors and Affiliations

  • University of York, York, United Kingdom

    Bob Clark

About the author

Bob Clark studied maths at Oxford University, UK, and philosophy at the Open University, KCL, and York. He taught maths in Kenya, California, Leeds and Brussels, and philosophy in Brussels and at York. Addicted to teaching though retired from paid work, he still teaches a regular small ad hoc adult seminar in philosophy.

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access