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• Torrent:
  Modal Logic - An Introduction to its Syntax and Semantics
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  Modal, Logic, Introduction, Syntax, Semantics
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• Added:
  11/16/2011
• Last check:
  2011-11-16 23:57:31
• Hash:
  3382b35c64c304648bbf7b6446aa8d2ab76eda9c
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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. Table Of Contents 1 Introduction 2 The Syntax of Modal Sentential Calculi 3 Matrix Semantics 4 Semantics for Logical Necessity 5 Semantics for S5 6 Relational World Systems 7 Quantified Modal Logic 8 The Semantics of Quantified Modal Logic 9 Second-Order Modal Logic 10 Semantics of Second-Order Modal Logic Afterword Bibliography Index

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