Logical Modalities from Aristotle to Carnap
Max Cresswell, Edwin Mares, Adriane Rini
Cambridge University Press, Sep 15, 2016 - Mathematics - 348 pages
Interest in the metaphysics and logic of possible worlds goes back at least as far as Aristotle, but few books address the history of these important concepts. This volume offers new essays on the theories about the logical modalities (necessity and possibility) held by leading philosophers from Aristotle in ancient Greece to Rudolf Carnap in the twentieth century. The story begins with an illuminating discussion of Aristotle's views on the connection between logic and metaphysics, continues through the Stoic and mediaeval (including Arabic) traditions, and then moves to the early modern period with particular attention to Locke and Leibniz. The views of Kant, Peirce, C. I. Lewis and Carnap complete the volume. Many of the essays illuminate the connection between the historical figures studied, and recent or current work in the philosophy of modality. The result is a rich and wide-ranging picture of the history of the logical modalities.
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Aristotle on the Necessity of the Consequence
Aristotle on OneSided Possibility
Why Does Aristotle Need a Modal Syllogistic?
Necessity Possibility and Determinism in Stoic Thought
Necessity in Avicenna and the Arabic Tradition
Ockham and the Foundations of Modality in
Leibnizs Theories of Necessity
Leibniz and the Lucky Proof
Jonathan Westphal 12 Divine Necessity and Kants Modal Categories
Charles Sanders Peirce on Necessity
Catherine Legg and Cheryl Misak 14 The Development of C I Lewiss Philosophy
Carnaps Modal Predicate Logic
Theological and Scientific Applications of the Notion
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Abaelard actual Adam Adriane Rini affirmative Animal belongs argue argument Aristotle Aristotle’s assertoric Averroes Avicenna Boethius C. I. Lewis Carnap chapter claim concept conclusion consequence contingent contradiction contradictory definition demonstration determinate discussion distinction early modern essence example existence expressions external fact false finite follows God’s holds implies impossible inference infinite intensional interpretatione 13 Kant Kant’s Leibniz Lewis Lewis’s logicians Malink matter Max Cresswell meaning metaphysical modal logic modal propositions modal syllogistic nature necessarily necessity necessity-proposition negation nominal modals non-modal notion noumena objects Ockham one-sided possibility one-sided sense passage Peirce Peirce’s philosophy possible worlds Posterior Analytics predicate Predicate Logic premises principle Prior Analytics Prior Analytics 1.13 proof propositional logic providentially real possibility reason Robin Smith schemas semantics sensu sentence sible Socrates Stoic stone syllogism theory things tion true two-sided possibility universal valid White belongs