About this product

Product Identifiers

PublisherCambridge University Press

ISBN-100521496926

ISBN-139780521496926

eBay Product ID (ePID)1030006

Product Key Features

Number of Pages302 Pages

LanguageEnglish

Publication NamePrinciples of Mathematics Revisited

Publication Year1996

SubjectHistory & Philosophy, Philosophy & Social Aspects, Logic

TypeTextbook

AuthorJaakko Hintikka

Subject AreaMathematics, Science

FormatHardcover

Dimensions

Item Height1 in

Item Weight17.3 Oz

Item Length8.7 in

Item Width5.8 in

Additional Product Features

Intended AudienceScholarly & Professional

LCCN95-023111

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

TitleLeadingThe

Dewey Edition21

IllustratedYes

Dewey Decimal511.3

Table Of Content1. 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.

SynopsisThis 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 NumberQA8.4 .H56 1996