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Wittgenstein's Philosophy of Mathematics - Pasquale Frascolla

Wittgenstein's Philosophy of Mathematics

Hardcover Published: 15th September 1994
ISBN: 9780415024839
Number Of Pages: 189

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Pasquale Frascolla's book is the most comprehensive presentation of Wittgenstein's views on mathematics progressively elaborated during a lifetime's reflections on the subject. The book is in three parts, corresponding to the three distinct phases in the development of Wittgenstein's philosophy of mathematics. The first part is devoted to the Tractatus and contains a systematic construction of the representation of arithmetic in logical operations. Frascolla takes this as the true objective of Wittgenstein's comments on mathematics in his first work on the subject. The second part is concerned with the so-called intermediate phase', (1929-33) which is characterised by strong verificationism and by a conception of the relation between the particular and the general in mathematics which forms the basis of Wittgenstein's later reflections on rule-following. The final section deals with the writings on mathematics in the decade 1934-44 . The main themes of the later Wittgenstein's philosophy of mathematics are understood as consequences of his considerations of rule-following.

Preface
Abbreviations
The Philosophy of Arithmetic of the Tractatus
Preliminaries
Systematic Exposition
The "Knowledge" of Forms: Vision and Calculation
Foundations of Mathematics (I)
Verificationism and its Limits. The Intermediate Phase (1929-'33)
Introduction
Finite Cardinal Numbers: the Arithmetic of Strokes
Mathematical Propositions
The Mathematical Infinite
Quantifiers in Mathematics
Recursive Arithmetic and Algebra
Real Numbers
Set Theory
Foundations of Mathematics (II)
From Facts to Concepts. The Later Writings on Mathematics (1934-'44)
1
Mathematical Proofs as Paradigms
The Problem of Strict Finitism
Wittgenstein's Quasi-Revisionism
Cantor's Diagonal Proof and Transfinite Cardinals
The Law of Excluded Middle
Consistency References
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780415024839
ISBN-10: 0415024838
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 189
Published: 15th September 1994
Country of Publication: GB
Dimensions (cm): 24.13 x 16.51  x 1.91
Weight (kg): 0.5
Edition Number: 1

Earn 779 Qantas Points
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