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

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, specialization, metaphor, metonymy, definition and diagrams.

Expounds a fresh approach to classical logic that aims to restore its utility as a scientific method Reframes Aristotelian methods for use in modern science Adopts a fresh practical perspective on the links between logic and methodology, including the influence of emotions Reconceptualises the relational nexus between logic and knowledge ?

Autorentext

I am emeritus professor at Sapienza University of Rome. I published the following books in Italian and English: Teoria della dimostrazione (Boringhieri, 1978); Le ragioni della logica (Laterza, 1998); Filosofia e matematica (Laterza, 2003); Perché ancora la filosofia (Laterza, 2008); Rethinking Logic: Logic in Relation to Mathematics, Evolution, and Method (Springer, 2013); Co-author with Mirella Capozzi, Breve storia della logica: Dall'Umanesimo al primo Novecento (Lulu Press, 2014); Rethinking Knowledge: The Heuristic View (Springer, 2017); The Making of Mathematics: Heuristic Philosophy of Mathematics (Springer, 2022); The Theory of Gödel (Springer, 2022).

Inhalt

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.