Preface
1 Fundamentals
1.1 Propositional logic
1.2 Predicate logic
1.3 Identity
1.4 Use and mention
2 Quantifiers
2.1 Beyond ∀ and ∃
2.2 Definite descriptions
2.3 Second-order quantifiers
2.4 Substitutional quantifiers
3 Modal Logic
3.1 Modal propositional logic
3.2 Modal predicate logic
3.3 The slingshot argument
3.4 Kripke’s defense of de re modality
4 Conditionals
4.1 The material conditional
4.2 No truth conditions?
4.3 Stalnaker’s semantics and pragmatics
4.4 Is Modus Ponens valid?
5 Logical Consequence via Models
5.1 Informal characterizations of consequence
5.2 Tarski’s account of logical consequence
5.3 Interpretational and representational semantics
6 Logical Consequence via Proofs
6.1 Introduction rules as self-justifying
6.2 Prawitz’s proof-theoretic account of consequence
6.3 Intuitionistic logic
6.4 Kripke semantics for intuitionistic logic
6.5 Fundamental logical disagreement
7 Relevance, Logic, and Reasoning
7.1 Motivations for relevance logic
7.2 The Lewis Argument
7.3 First-degree entailment
7.4 Logic and reasoning
7.5 Uses for relevance logic
8 Vagueness and the Sorites Paradox
8.1 What is vagueness?
8.2 Three-valued logics
8.3 Fuzzy logics
8.4 Supervaluations
8.5 Vagueness in the world?
Appendix A: Greek Letters
Appendix B: Set-Theoretic Notation
Appendix C: Proving Unrepresentability
Biography
John MacFarlane is Professor of Philosophy and a member of the Group in Logic and the Methodology of Science at the University of California, Berkeley. He is the author of Assessment Sensitivity: Relative Truth and Its Applications (2014).
“This is the perfect book for coverage of classic debates in mainstream philosophy of logic. It’s also the perfect source for exceptionally clear reviews of standard logical machinery (e.g., standard modal machinery, quantifier machinery, higher-order machinery, etc.). Very user-friendly, clear, and accurate on all of the topics that it covers, this is my new required text for classic debates in the philosophy of logic.”
Jc Beall, University of Notre Dame“John MacFarlane displays his usual lively and engaging writing style, and is neutral on controversial issues, giving the arguments employed by both sides. It is an excellent overview of some key topics in the field.”
Stewart Shapiro, Ohio State University
