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9780521496926

The Principles of Mathematics Revisited

by
  • ISBN13:

    9780521496926

  • ISBN10:

    0521496926

  • Format: Hardcover
  • Copyright: 1996-07-13
  • Publisher: Cambridge University Press

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Summary

This book, written by one of philosophy's preeminent logicians, argues that many of the basic assumptions common to logic, philosophy of mathematics and metaphysics are in need of change. Jaakko Hintikka proposes a new basic first-order logic and uses it to explore the foundations of mathematics. This new logic enables logicians to express on the first-order level such concepts as equicardinality, infinity, and truth in the same language. Hintikka's new logic is highly original and will prove appealing to logicians, philosophers of mathematics, and mathematicians concerned with the foundations of the discipline.

Table of Contents

The functions of logic and the problem of truth definition
The game of logic
Frege's fallacy foiled: Independence-friendly logic
The joys of independence: Some uses of IF logic
The complexities of completeness
Who's afraid of Alfred Tarski? Truth-definitions for IF first-order languages
The liar belied: negation in IF logic
Axiomatic set theory: Frankenstein's monster?
IF logic as a framework for mathematical theorizing
Constructivism reconstructed
The epistemology of mathematical objects
Table of Contents provided by Publisher. All Rights Reserved.

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