Logical modalities from Aristotle to Carnap : the story of necessity / edited by Max Cresswell, Edwin Mares, Adriane Rini.

Print version record.

Includes bibliographical references and index.

Cover; Half-title; Title page; Copyright information; Table of contents; List of tables; List of contributors; List of abbreviations; Introduction; 1 Aristotle on the Necessity of the Consequence; 1. Introduction; 2. Non-modal Reasoning in An. Pr. (the Assertoric Syllogistic); 3. Deductions Involving Necessary Premises in An. Pr. (the Apodeictic Syllogistic); 4. Deductions Involving Premises about Possibility in An. Pr. (the Problematic Syllogistic); 2 Aristotle on One-Sided Possibility; 1. The Problematic Passage; 2. Establishing One-Sided Possibility in Prior Analytics 1.13 (32a21-28).

3. Establishing One-Sided Possibility in De interpretatione 13 (22b11-14)4. The Revised Square of Modal Expressions (De interpretatione 13 22b10-28); 3 Why Does Aristotle Need a Modal Syllogistic?; 1. Syllogistic in the Posterior Analytics; 2. The Modal Syllogistic and Possibility; 3. The Necessity Syllogistic; 4 Necessity, Possibility, and Determinism in Stoic Thought; 1. Introduction; 2. Textual Evidence; 3. Conclusion; 5 Necessity in Avicenna and the Arabic Tradition; 1. Introduction; 2. Avicenna; 3. Formalisation; 4. Averroes; 5. Ra zı; 6. Formalisation; 6.1 Impossible Subjects.

6.2 The Logical Relations between Intensional and Extensional Propositions6.3 The Relation between the Intensional/Extensional and ; 7. Summary; 6 Modality without the Prior Analytics; 1. Ancient Sources; 2. Eleventh and Twelfth Century Developments; 3. Abaelard on Simple and Determinate Modalities; 4. Conclusion; 7 Ockham and the Foundations of Modality in the Fourteenth Century; Prologue; 1. Part I. The Foundation; 1.1 Something between a Fable and a Fact; 1.2 Reflection; 1.3 Ockham; 2. Part II Modal Logic; 3. Appendix.

8 Theological and Scientific Applications of the Notion of Necessity in the 1. Necessity and Necessary Existence in Aquinas; 1.1. Self-Evidence; 1.2. Tensed Necessity (Necessity per Accidens); 1.3. Absolute Necessity; 1.4. Necessary and Contingent Being; 2. The Early Modern Period: Theologians, Logicians, and Natural Philosophers; 2.1. Necessity in Proofs of God's Existence; 2.1.1 Cudworth; 2.1.2 Lowde; 2.1.3. Boyle's S4 Argument from Miracles; 3. Necessity in Demonstration; 3.1. The logicians; 3.2. The Mathematicians; 9 Locke and the Problem of Necessity in Early Modern Philosophy.

1. The General Problem of Necessity in Early Modern Philosophy2. Locke on Necessity; 3. Conclusion; 10 Leibniz's Theories of Necessity; 1. Introduction; 2. Leibniz's Theory of Per Se Possibles; 3. Infinite Analysis; 4. Leibniz's Possible Worlds and the Nature of Necessity; 5. God and Necessity; 6. Conclusion; 11 Leibniz and the Lucky Proof; 12 Divine Necessity and Kant's Modal Categories; 1. Introduction; 2. Schematized and Unschematized Categories; 3. Real Possibility and the Categories; 4. Absolutely Necessary Existence; 5. Abbreviations for Works of Kant.

Introduces readers to the history of necessity and possibility, two modal concepts which play a key role in philosophy.

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