Thinking and Calculating

This volume collects 22 essays on the history of logic written by outstanding specialists in the field. The book was originally prompted by the 2018-2019 celebrations in honor of Massimo Mugnai, a world-renowned historian of logic, whose contributions on Medieval and Modern logic, and to the understanding of the logical writings of Leibniz in particular, have shaped the field in the last four decades. Given the large number of recent contributions in the history of logic that have some connections or debts with Mugnai's work, the editors have attempted to produce a volume showing the vastness of the development of logic throughout the centuries. We hope that such a volume may help both the specialist and the student to realize the complexity of the history of logic, the large array of problems that were touched by the discipline, and the manifold relations that logic entertained with other subjects in the course of the centuries. The contributions of the volume, in fact, span from Antiquity to the Modern Age, from semantics to linguistics and proof theory, from the discussion of technical problems to deep metaphysical questions, and in it the history of logic is kept in dialogue with the history of mathematics, economics, and the moral sciences at large.

Covers entire development of the discipline, from classical antiquity to contemporary times. Treats the history of logic in close contact with the history of philosophy and other scientific disciplines. Discusses little-known authors and topics not yet covered in the secondary literature.

Inhalt

Part I. Classical Antiquity.- 1. Paolo Crivelli: The Method of Models in Plato's Statesman.- 2. Francesco Ademollo: Anti-Platonism in Aristotle's Categories.- 3. Vincenzo De Risi: Aristotle on Common Axioms.- 4. Marcello D'Agostino and Mario Piazza: Chrysippus' Logic in a Natural Deduction Setting.- Part II. The Middle Ages and the Scholastic Tradition.- . 5. Christopher J. Martin: Generaliter de nullo enuntiabili aliquid scio: Meaning and Propositional Content in the Ars Meliduna.- 6. Graziana Ciola: Complete Forms, Individuals and Alternate World Histories: Gilbert of Poitiers.- 7. Irene Binini: Turning Potentialities into Possibilities: Early Medieval Approaches to the Metaphysics of Modality.- 8. Claude Panaccio: Ockham on Abstract Pseudo-Names.- 9. Fabrizio Amerini: Ockham and Chatton on the Origin of Logical Concepts.- 10. Simo Knuuttila and Riccardo Strobino: William of Heytesbury and Peter of Mantua on Demonstrative Pronouns in Epistemic Contexts.- 11. Fabrizio Mondadori: Poncius contra (dicta Mastrii contra (dicta Poncii)).- Part III. Leibniz.- 12. Monica Ugaglia: Possibility vs Iterativity: Leibniz and Aristotle on the Infinite.- 13. Maria Rosa Antognazza: Pure Positivity in Leibniz.- 14. Stefano Di Bella: Essentialism, Super-Essentialism and/or Anti-Essentialism in Leibniz.- 15. Richard Arthur: Leibniz's Metaphysics of Change: Vague States and Physical Continuity.- 16. Enrico Pasini: Is Leibniz's Lex Iustitiae a Logical Law?.- 17. Calvin G. Normore: Leibniz among the Nominalists.- Part IV. Modern Logic and its Applications.- 18. Stefania Centrone and Pierluigi Minari: Oskar Becker and the Modal Translation of Intuitionistic Logic.- 19. Andrea Cantini: Reflecting and Unfolding. -20. Giorgio Lando: Metaphysical Modality, without Possible Worlds.- 21. Francesco Belardinelli: Counterpart Semantics at Work: Independence andIncompleteness Results in Quantified Modal Logic.- 22. Carla Bagnoli: The Form of Practical Reasoning.- Massimo Mugnai: Publications.