Thinking and Calculating

1. Front Matter

   Pages i-xiv

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2. Classical Antiquity

   1. Front Matter

      Pages 1-1

      PDF

   2. The Method of Models in Plato’s Statesman

      • Paolo Crivelli

      Pages 3-30

   3. Anti-Platonism in Aristotle’s Categories

      • Francesco Ademollo

      Pages 31-52

   4. Aristotle on Common Axioms

      • Vincenzo De Risi

      Pages 53-82

   5. Chrysippus’ Logic in a Natural Deduction Setting

      • Marcello D’Agostino, Mario Piazza

      Pages 83-99

3. The Middle Ages and the Scholastic Tradition

   1. Front Matter

      Pages 101-101

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   2. “Generaliter De Nullo Enuntiabili Aliquid Scio”: Meaning and Propositional Content in the Ars Meliduna

      • Christopher J. Martin

      Pages 103-125

   3. Complete Forms, Individuals and Alternate World Histories: Gilbert of Poitiers

      • Graziana Ciola

      Pages 127-149

   4. Turning Potentialities into Possibilities: Early Medieval Approaches to the Metaphysics of Modality

      • Irene Binini

      Pages 151-169

   5. Ockham on Abstract Pseudo-Names

      • Claude Panaccio

      Pages 171-183

   6. Ockham and Chatton on the Origin of Logical Concepts

      • Fabrizio Amerini

      Pages 185-203

   7. William of Heytesbury and Peter of Mantua on Demonstrative Pronouns in Epistemic Contexts

      • Riccardo Strobino, Simo Knuuttila

      Pages 205-230

   8. Poncius contra (Dicta Mastrii contra (Dicta Poncii))

      • Fabrizio Mondadori

      Pages 231-252

4. Leibniz

   1. Front Matter

      Pages 253-253

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   2. Possibility vs Iterativity: Leibniz and Aristotle on the Infinite

      • Monica Ugaglia

      Pages 255-270

   3. Pure Positivity in Leibniz

      • Maria Rosa Antognazza

      Pages 271-283

   4. Essentialism, Super-Essentialism and/or Anti-Essentialism in Leibniz

      • Stefano Di Bella

      Pages 285-297

   5. Leibniz’s Metaphysics of Change: Vague States and Physical Continuity

      • Richard T. W. Arthur

      Pages 299-322

   6. Is Leibniz’s ‘Lex Iustitiae’ a Logical Law?

      • Enrico Pasini

      Pages 323-339

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.

• history of logic
• Leibniz
• Aristotle
• philosophy of language
• logic and economics
• medieval philosophy
• essentialism
• history of science
• epistemology
• modal logic

• Dipartimento di Lettere e Filosofia, Università di Firenze, Florence, Italy

  Francesco Ademollo

• Department of Humanities, Social Sciences, and Cultural Industries, Università di Parma, Parma, Italy

  Fabrizio Amerini

• Laboratoire SPHère, CNRS/Université Paris Cité, Paris, France

  Vincenzo De Risi

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