Wittgenstein on Mathematics (Hardcover)

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 Goedel's incompleteness theorems.

General

Imprint:	Acumen Publishing Ltd
Country of origin:	United Kingdom
Series:	Wittgenstein's Thought and Legacy
Release date:	December 2020
Authors:	Severin Schroeder
Dimensions:	229 x 152 x 22mm (L x W x T)
Format:	Hardcover
Pages:	238
ISBN-13:	978-1-84465-862-6
Categories:	Books > Science & Mathematics > Mathematics > Philosophy of mathematics Books > Humanities > Philosophy > Western philosophy > Modern Western philosophy, c 1600 to the present > Western philosophy, from c 1900 - > General Books > Philosophy > Western philosophy > Modern Western philosophy, c 1600 to the present > Western philosophy, from c 1900 - > General Promotions
LSN:	1-84465-862-7
Barcode:	9781844658626

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