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Rethinking Logic: Logic in Relation to Mathematics, Evolution, and Method

Author: Carlo Cellucci
Publisher: Dordrecht Springer Netherlands 2013
Series: Logic, argumentation & reasoning, vol. 1.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
This volume examines the limitations of mathematical logic and proposes a new approach to logic intended to overcome them. To this end, the book compares mathematical logic with earlier views of logic, both in the ancient and in the modern age, including those of Plato, Aristotle, Bacon, Descartes, Leibniz, and Kant. From the comparison it is apparent that a basic limitation of mathematical logic is that it narrows  Read more...
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Additional Physical Format: Logic, argumentation & reasoning
(NL-LeOCL)36400584X
(OCoLC)869734302
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Carlo Cellucci
ISBN: 9789400760912 9400760914 9789400760905 9400760906
OCLC Number: 980926825
Description: XV, 389 pagina's. : illustraties. ; 25 cm.
Contents: Preface.- Chapter 1. Introduction.- Part I. Ancient Perspectives.- Chapter 2. The Origin of Logic.- Chapter 3. Ancient Logic and Science.- Chapter 4. The Analytic Method.- Chapter 5. The Analytic-Synthetic Method.- Chapter 6. Aristotle's Logic: The Deductivist View.- Chapter 7. Aristotle's Logic: The Heuristic View.- Part II. Modern Perspectives.- Chapter 8. The Method of Modern Science.- Chapter 9. The Quest for a Logic of Discovery.- Chapter 10. Frege's Approach to Logic.- Chapter 11. Gentzen's Approach to Logic.- Chapter 12. The Limitations of Mathematical Logic.- Chapter 13. Logic, Method, and the Psychology of Discovery.- Part III: An Alternative Perspective.- Chapter 14. Reason and Knowledge.- Chapter 15. Reason, Knowledge and Emotion.- Chapter 16. Logic, Evolution, Language and Reason.- Chapter 17. Logic, Method and Knowledge.- Chapter 18. Classifying and Justifying Inference Rules.- Chapter 19. Philosophy and Knowledge.- Part IV: Rules of Discovery.- Chapter 20. Induction and Analogy.- Chapter 21. Other Rules of Discovery.- Chapter 22. Conclusion.- References.- Name Index.- Subject Index.
Series Title: Logic, argumentation & reasoning, vol. 1.
Responsibility: Carlo Cellucci [aut]

Abstract:

This book examines the limitations of mathematical logic and proposes a new approach intended to overcome them. Formulates new rules of discovery, such as induction, analogy, generalization,  Read more...

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"Cellucci puts logic back in its place, after it was turned upside down by the drifts of AP (analytical philosophy), which pushed the search for certainty and foundations too far." (Emiliano Read more...

 
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