forall x: An Introduction to Formal Logi
β P. D. Magnus
π Library
π English
β¦ LIBER β¦
π
An Introduction to Formal Logic with Philosophical Applications
β Scribed by Russell Marcus
- Publisher
- Oxford University Press
- Year
- 2017
- Tongue
- English
- Leaves
- 625
- Category
- Library
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No coin nor oath required. For personal study only.
β¦ Synopsis
Rigorous yet engaging and accessible, Introduction to Formal Logic with Philosophical Applications is composed of two parts. The first part (Chapters 1-5) provides a focused, "nuts-and-bolts" introduction to formal deductive logic that covers syntax, semantics, translation, and natural deduction for propositional and predicate logics. The second part (Chapters 6-7) presents stand-alone, student-friendly essays on logic and its application in philosophy and beyond, with writing prompts and suggestions for further readings.
β¦ Table of Contents
Contents
Preface
Chapter 1 Introducing Logic
1.1: Defining βLogicβ
1.2: Logic and Languages
1.3: A Short History of Logic
1.4: Separating Premises from Conclusions
1.5: Validity and Soundness
Key Terms
Chapter 2 Propositional Logic
2.1: Logical Operators and Translation
2.2: Syntax of PL: Wffs and Main Operators
2.3: Semantics of PL: Truth Functions
2.4: Truth Tables
2.5: Classifying Propositions
2.6: Valid and Invalid Arguments
2.7: Indirect Truth Tables
Key Terms
Chapter 3 Inference in Propositional Logic
3.1: Rules of Inference 1
3.2: Rules of Inference 2
3.3: Rules of Equivalence 1
3.4: Rules of Equivalence 2
3.5: Practice with Derivations
3.6: The Biconditional
3.7: Conditional Proof
3.8: Logical Truths
3.9: Indirect Proof
3.10: Chapter Review
Key Terms
Chapter 4 Monadic Predicate Logic
4.1: Introducing Predicate Logic
4.2: Translation Using M
4.3: Syntax for M
4.4: Derivations in M
4.5: Quantifier Exchange
4.6: Conditional and Indirect Proof in M
4.7: Semantics for M
4.8: Invalidity in M
Key Terms
Chapter 5 Full First-Order Logic
5.1: Translation Using Relational Predicates
5.2: Syntax, Semantics, and Invalidity in F
5.3: Derivations in F
5.4: The Identity Predicate: Translation
5.5: The Identity Predicate: Derivations
5.6: Translation with Functions
5.7: Derivations with Functions
Key Terms
Chapter 6 Beyond Basic Logic
6.1: Notes on Translation with PL
6.2: Conditionals
6.3: Three-Valued Logics
6.4: Metalogic
6.5: Modal Logics
6.6: Notes on Translation with M
Chapter 7 Logic and Philosophy
7.1: Deduction and Induction
7.2: Fallacies and Argumentation
7.3: Logic and Philosophy of Mind: Syntax, Semantics, and the Chinese Room
7.4: Logic and the Philosophy of Religion
7.5: Truth and Liars
7.6: Names, Definite Descriptions, and Logical Form
7.7: Logicism
Appendix on the Logical Equivalence of the Rules of Equivalence
Terms
Solutions to Selected Exercises
Index
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