The Principles of Mathematics Revisited

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Paperback | 5 October 1998

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304 Pages

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21.59 x 13.97 x 1.73

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This book, written by one of philosophy's pre-eminent logicians, argues that many of the basic assumptions common to logic, philosophy of mathematics and metaphysics are in need of change. It is therefore a book of critical importance to logical theory. 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. The famous impossibility results by G¶del and Tarski that have dominated the field for the last sixty years turn out to be much less significant than has been thought. All of ordinary mathematics can in principle be done on this first-order level, thus dispensing with the existence of sets and other higher-order entities.

Industry Reviews

'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.' Studia Logica

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You Can Find This Book In

Non-Fiction Mathematics Philosophy of Mathematics Philosophy Social & Political Philosophy Mathematical Foundation Mathematical Logic Philosophy & Logic

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.

The Principles of Mathematics Revisited

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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