Pasquale Frascolla

Wittgenstein's Philosophy of Mathematics (eBook, PDF)

• Format: PDF

Produktbeschreibung

Wittgenstein's role was vital in establishing mathematics as one of this century's principal areas of philosophic inquiry. In this book, the three phases of Wittgenstein's reflections on mathematics are viewed as a progressive whole, rather than as separate entities. Frascolla builds up a systematic construction of Wittgenstein's representation of the role of arithmetic in the theory of logical operations. He also presents a new interpretation of Wittgenstein's rule-following considerations - the community view of internal relations'.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 200
• Erscheinungstermin: 5. Dezember 2006
• Englisch
• ISBN-13: 9781134974375
• Artikelnr.: 40186530

Autorenporträt

Pasquale Frascolla

Inhaltsangabe

Preface Abbreviations I. The Philosophy of Arithmetic of the Tractatus 1.
Preliminaries 2. Systematic Exposition 3. The Knowledge of Forms: Vision
and Calculation 4. Foundations of Mathematics (I) II. Verificationism and
its Limits. The Intermediate Phase (1929-'33) 1. Introduction 2. Finite
Cardinal Numbers: the Arithmetic of Strokes 3. Mathematical Propositions 4.
The Mathematical Infinite 4.1 Quantifiers in Mathematics 4.2 Recursive
Arithmetic and Algebra 4.3 Real Numbers 4.4 Set Theory 5. Foundations of
Mathematics (II) III. From Facts to Concepts. The Later Writings on
Mathematics (1934-'44) 1. The Crisis of Verificationism: Rule-Following 2.
Mathematical Proofs as Paradigms 3. The Problem of Strict Finitism 4.
Wittgenstein's Quasi-Revisionism 4.1 Cantor's Diagonal Proof and
Transfinite Cardinals 4.2 The Law of Excluded Middle 4.3 Consistency
References