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Synopsis
In this text, a variety of modal logics at the sentential, first-order, and second-order levels are developed with clarity, precision and philosophical insight. All of the S1-S5 modal logics of Lewis and Langford, among others, are constructed. A matrix, or many-valued semantics, for sentential modal logic is formalized, and an important result that no finite matrix can characterize any of the standard modal logics is proven. Exercises, some of which show independence results, help to develop logical skills.
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About the Author
Nino Cocchiarella is a Professor Emeritus of Logic and Philosophy at Indiana University. Max Freund is a Professor of Logic and Philosophy at Escuela de Filosofia, Universidad Nacional de Costa Rica.
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