Wittgenstein on Mathematics by Severin Schroeder
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Wittgenstein on Mathematics

Wittgenstein on Mathematics


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About the Book

This book offers a detailed account and discussion of Ludwig Wittgenstein's philosophy of mathematics. In Part I, the stage is set with a brief presentation of Frege's logicist attempt to provide arithmetic with a foundation and Wittgenstein's criticisms of it, followed by sketches of Wittgenstein's early views of mathematics, in the Tractatus and in the early 1930s. Then (in Part II), Wittgenstein's mature philosophy of mathematics (1937-44) is carefully presented and examined. Schroeder explains that it is based on two key ideas: the calculus view and the grammar view. On the one hand, mathematics is seen as a human activity - calculation - rather than a theory. On the other hand, the results of mathematical calculations serve as grammatical norms. The following chapters (on mathematics as grammar; rule-following; conventionalism; the empirical basis of mathematics; the role of proof) explore the tension between those two key ideas and suggest a way in which it can be resolved. Finally, there are chapters analysing and defending Wittgenstein's provocative views on Hilbert's Formalism and the quest for consistency proofs and on Gödel's incompleteness theorems.


About the Author:

Severin Schroeder is Associate Professor of Philosophy at the University of Reading. He has published three monographs on Wittgenstein: Wittgenstein: The Way Out of the Fly Bottle (2006), Wittgenstein Lesen (2009), and Das Privatsprachen-Argument (1998). He is the editor of Wittgenstein and Contemporary Philosophy of Mind (2001) and Philosophy of Literature (2010).


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Product Details
  • ISBN-13: 9780367683283
  • Publisher: Taylor & Francis Ltd (Sales)
  • Publisher Imprint: Routledge
  • Height: 229 mm
  • No of Pages: 238
  • Spine Width: 13 mm
  • Width: 152 mm
  • ISBN-10: 0367683288
  • Publisher Date: 25 Sep 2023
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 394 gr


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