Wittgenstein on Mathematics

Wittgenstein on Mathematics

AngličtinaPevná väzbaTlač na objednávku
Schroeder Severin
Taylor & Francis Ltd
EAN: 9781844658626
Tlač na objednávku
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Podrobné informácie

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.

EAN 9781844658626
ISBN 1844658627
Typ produktu Pevná väzba
Vydavateľ Taylor & Francis Ltd
Dátum vydania 30. decembra 2020
Stránky 238
Jazyk English
Rozmery 229 x 152
Krajina United Kingdom
Autori Schroeder Severin
Ilustrácie 10 Line drawings, black and white
Séria Wittgenstein's Thought and Legacy