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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'A welcome addition to the literature on Wittgenstein.' - Philosophia
About the Author
Pasquale Frascolla is Research Fellow at Scuola Normale Superiore in Pisa, Italy.
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Inside This Book
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philosophical remarks, operation theory language, given sign construction, verificationist boundaries, certain sign construction, revisionary import, same initial symbol, mutual reducibility, arithmetical identity, denumerable series, finitist mathematics, strong verificationism, arithmetical identities, extensional conception, strict finitism, unlimited applicability, schematic expression, arithmetical term, arithmetical predicate, sign manipulation, denumerable sequence, numerical arithmetic, correct multiplication, primitive arithmetic, decidable predicate Key Phrases - Capitalized Phrases (CAPs): (learn more)
Law of Excluded Middle, Principle of Complete Induction, Foundations of Mathematics, Following Wittgenstein, Philosophical Grammar Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
philosophical remarks, operation theory language, given sign construction, verificationist boundaries, certain sign construction, revisionary import, same initial symbol, mutual reducibility, arithmetical identity, denumerable series, finitist mathematics, strong verificationism, arithmetical identities, extensional conception, strict finitism, unlimited applicability, schematic expression, arithmetical term, arithmetical predicate, sign manipulation, denumerable sequence, numerical arithmetic, correct multiplication, primitive arithmetic, decidable predicate Key Phrases - Capitalized Phrases (CAPs): (learn more)
Law of Excluded Middle, Principle of Complete Induction, Foundations of Mathematics, Following Wittgenstein, Philosophical Grammar Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
Citations (learn more)
2
books
cite this book:
- Wittgenstein: A Critical Reader (Blackwell Critical Reader) by Hans-Johann Glock in Front Matter, and page 288
- Wittgenstein, Politics and Human Rights (LSE/Routledge) by Robin Holt in Back Flap
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