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Wittgenstein on Mathematics
Engelsk
Bogcover for Wittgenstein on Mathematics af Severin Schroeder, 9780367683283
Specifikationer
Sprog:
Engelsk
Sider:
238
ISBN-13:
9780367683283
Indbinding:
Paperback
ISBN-10:
0367683288
Udg. Dato:
25 sep 2023
Størrelse i cm:
15,2 x 22,9 x 1,6
Oplagsdato:
25 sep 2023
Forfatter(e):
Paperback 2023
Format:

Bog beskrivelse

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.

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Specifikationer
Sprog:
Engelsk
Sider:
238
ISBN-13:
9780367683283
Indbinding:
Paperback
ISBN-10:
0367683288
Udg. Dato:
25 sep 2023
Størrelse i cm:
15,2 x 22,9 x 1,6
Oplagsdato:
25 sep 2023
Forfatter(e):
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