Logic for Philosophy by Theodore Sider (Paperback, 2010)

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Logic for Philosophy is an introduction to logic for students of contemporary philosophy. It is suitable both for advanced undergraduates and for beginning graduate students in philosophy. It covers i) basic approaches to logic, including proof theory and especially model theory, ii) extensions of standard logic that are important in philosophy, and iii) some elementary philosophy of logic. It emphasizes breadth rather than depth. For example, it discusses modal logic and counterfactuals, but does not prove the central metalogical results for predicate logic (completeness, undecidability, etc.) Its goal is to introduce students to the logic they need to know in order to read contemporary philosophy journal articles; its distinctive feature is that it is very user-friendly for students without an extensive background in mathematics; its niche is as the text for a logical literacy course.