The Principles of Mathematics Revisited
- Author: Jaakko Hintikka, Boston University
- Date Published: April 1998
- availability: Available
- format: Paperback
- isbn: 9780521624985
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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.
Read more- Hintikka is an internationally renowned logician - well-known in Europe especially
- Important development in logical theory - the success of Boolos' The Logic of Provability indicates that books in this field by big names can do well
Reviews & endorsements
"Every thoughtful mathematician or student of the philosophy of science or mathematics will want to read this book....superbly lucid and well-presented work....highly recommended for upper division undergraduate through professional collections." Choice
See more reviews"In this engaging, provocative manifesto, Professor Hintikka breaks the ground for what he hopes will be a revolution in logic, in much the same "critical and constructive" spirit as motivted Bertrand Russell...Hintikka claims that present-day logic, with its basis in a beautiful proof theory, is the result of abandoning the idea that logic can have any major role to play in mainstream mathematical...this highly readable, wide-ranging book deserves a great deal of attention and debate." Modern Logic May 2000- Oct 2001
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×Product details
- Date Published: April 1998
- format: Paperback
- isbn: 9780521624985
- length: 304 pages
- dimensions: 215 x 140 x 22 mm
- weight: 0.362kg
- availability: Available
Table of Contents
1. The functions of logic and the problem of truth definition
2. The game of logic
3. Frege's fallacy foiled: Independence-friendly logic
4. The joys of independence: Some uses of IF logic
5. The complexities of completeness
6. Who's afraid of Alfred Tarski? Truth-definitions for IF first-order languages
7. The liar belied: negation in IF logic
8. Axiomatic set theory: Frankenstein's monster?
9. IF logic as a framework for mathematical theorizing
10. Constructivism reconstructed
11. The epistemology of mathematical objects.
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