The Principles of Mathematics Revisited Hardcover Jaakko Hintikka

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Book Title
The Principles of Mathematics Revisited Hardcover Jaakko Hintikka
ISBN
9780521496926
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Product Identifiers

Publisher
Cambridge University Press
ISBN-10
0521496926
ISBN-13
9780521496926
eBay Product ID (ePID)
1030006

Product Key Features

Number of Pages
302 Pages
Language
English
Publication Name
Principles of Mathematics Revisited
Publication Year
1996
Subject
History & Philosophy, Philosophy & Social Aspects, Logic
Type
Textbook
Author
Jaakko Hintikka
Subject Area
Mathematics, Science
Format
Hardcover

Dimensions

Item Height
1 in
Item Weight
17.3 Oz
Item Length
8.7 in
Item Width
5.8 in

Additional Product Features

Intended Audience
Scholarly & Professional
LCCN
95-023111
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, ‘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, '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
TitleLeading
The
Dewey Edition
21
Illustrated
Yes
Dewey Decimal
511.3
Table Of Content
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.
Synopsis
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., 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. Jaakko Hintikka proposes a new basic first-order logic and uses it to explore the foundations of mathematics. His innovative new logic will appeal to a wide variety of philosophers and mathematicians., 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 Gödel 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.
LC Classification Number
QA8.4 .H56 1996

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