Language, Truth and Logic in Mathematics
Author:   Jaakko Hintikka
Publisher:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1997
Volume:   3
ISBN:  

9789048149230


Pages:   250
Publication Date:   15 December 2010
Format:   Paperback
Availability:   Out of stock   Availability explained
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Language, Truth and Logic in Mathematics


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Overview

The foundations of mathematics are examined by reference to such crucial concepts as the informational independence of quantifiers, the standard-nonstandard distinction, completeness, computability, parallel processing and the extremality of models.

Full Product Details

Author:   Jaakko Hintikka
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1997
Volume:   3
Dimensions:   Width: 15.50cm , Height: 1.30cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9789048149230


ISBN 10:   9048149231
Pages:   250
Publication Date:   15 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

1. What Is Elementary Logic? Independence-Friendly Logic as the True Core Area of Logic.- 2. A Revolution in Logic?.- 3. A Revolution in the Foundations of Mathematics?.- 4. Is There Completeness in Mathematics after Gödel?.- 5. Hilbert Vindicated?.- 6. Standard vs. Nonstandard Distinction: A Watershed in the Foundations of Mathematics.- 7. Standard vs. Nonstandard Logic: Higher-Order, Modal, and First-Order Logics.- 8. The Skeleton in Frege’s Cupboard: The Standard versus Nonstandard Distinction.- 9. An Alternative Concept of Computability.- 10. What is the Logic of Parallel Processing?.- 11. Model Minimization — An Alternative to Circumscription.- 12. New Foundations for Mathematical Theories.

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Author Information

Jaakko Hintikka is the author or co-author of thirty volumes and of some 300 scholarly articles in mathematical and philosophical logic, epistemology, language theory, philosophy of science, history of ideas and history of philosophy, including Aristotle, Descartes, Leibniz, Kant, Peirce, The Bloomsbury Group, Husserl and Wittgenstein. He has also been active in international scholarly organizations, most recently as the First Vice-President of FISP, Vice-President of IIP and Co-Chair of the American Organizing Committee of the Twentieth World Congress of Philosophy. He has been Editor-in-Chief of the International Journal Synthese and the Managing Editor of Synthese Library since 1965.

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