Name: Wittgenstein on Mathematics (Wittgenstein's Thought and Legacy) (en Inglés)
Price: 943.66 MXN
Availability: InStock
Author: Severin Schroeder
ISBN: 9780367683283

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portada Wittgenstein on Mathematics (Wittgenstein's Thought and Legacy) (en Inglés)

Formato

Libro Físico

Editorial

Routledge

Autor

Severin Schroeder

Idioma

Inglés

N° páginas

238

Encuadernación

Tapa Blanda

ISBN13

9780367683283

N° edición

Wittgenstein on Mathematics (Wittgenstein's Thought and Legacy) (en Inglés)

Severin Schroeder (Autor) · Routledge · Tapa Blanda

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Origen: Estados Unidos (Costos de importación incluídos en el precio)

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Reseña del libro "Wittgenstein on Mathematics (Wittgenstein's Thought and Legacy) (en Inglés)"

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.