Language, Truth and Logic in Mathematics by Jaakko HintikkaLanguage, Truth and Logic in Mathematics by Jaakko Hintikka

Language, Truth and Logic in Mathematics

byJaakko Hintikka

Paperback | December 15, 2010

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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.
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....
Title:Language, Truth and Logic in MathematicsFormat:PaperbackDimensions:259 pagesPublished:December 15, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048149231

ISBN - 13:9789048149230

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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 Logic: A Watershed in the Foundations of Mathematics. 7. Standard vs. Nonstandard Logic: Higher-Order, Modal and First-Order Logics. 8. (with Gabriel Sandu.) The Skeleton in Frege's Cupboard: The Standard vs. Nonstandard Distinction. 9. (with Arto Mutanen.) An Alternative Concept of Computability. 10. (with Gabriel Sandu.) What is the Logic of Parallel Processing? 11. Model Minimization - An Alternative to Circumscription. 12. New Foundations for Mathematical Theories.