An Introduction to Formal Logic: Second Edition
2nd Edition
Published on 3. July 2020
228 pages
978-1-938421-53-2 (ISBN)
Description
* Intended for a course for students in philosophy, mathematics, linguistics, or computer science, and excellent for self-study. Motivation is given for each formal concept and each step in building a formal logic in terms of formalizing reasoning. Summaries are given at important junctures in the book to keep students aware of what they are doing and where they are going. Criteria of formalization are developed and applied to formalizing ordinary language reasoning in an example-analysis format. More than 300 worked examples. More than 500 exercises with answers available on the web.
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Book
07/2020
Advanced Reasoning Forum
€31.20
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Person
Richard L Epstein received his B.A. summa cum laude from the University of Pennsylvania, and his Ph.D. from the University of California, Berkeley. He held a post-doctoral fellowship in mathematics and philosophy at Victoria University of Wellington, New Zealand, and was a Fulbright Fellow to Brazil and a National Academy of Sciences Scholar to Poland. He is the author of textbook "Critical Thinking" as well as "Propositional Logics" and, with Walter Carnielli, "Computability". He is now the Head of the Advanced Reasoning Forum.
Content
1 The Basics of Logic
2 Reasoning with Compound Propositions
3 Classical Propositional Logic: Form
4 Classical Propositional Logic: Meaning
5 Using Classical Propositional Logic
6 Proofs
Summary of Chapters 1-6
7 Reasoning about Things
8 The Grammar of Things
9 A Formal Language for Predicate Logic
10 A Predicate Applies to an Object or Objects
11 Models for Classical Predicate Logic
12 Substitution of Variables and Distribution of Quantifiers
13 An Axiom System for Classical Predicate Logic
14 Formalizing in Classical Predicate Logic
15 Identity
16 Formalizing with the Equality Predicate
17 Possibilities
Appendix 1 Proof by Induction
Appendix 2 Set-Theory Notation
Appendix 3 Naming, Pointing, and What There Is
Appendix 4 Completeness Proofs
Appendix 5 Other Interpretations of the Quantifiers and Variables
Appendix 6 Mathematical Semantics
Appendix 7 Aristotelian Logic
Index of Symbols
Index of Examples
Index
2 Reasoning with Compound Propositions
3 Classical Propositional Logic: Form
4 Classical Propositional Logic: Meaning
5 Using Classical Propositional Logic
6 Proofs
Summary of Chapters 1-6
7 Reasoning about Things
8 The Grammar of Things
9 A Formal Language for Predicate Logic
10 A Predicate Applies to an Object or Objects
11 Models for Classical Predicate Logic
12 Substitution of Variables and Distribution of Quantifiers
13 An Axiom System for Classical Predicate Logic
14 Formalizing in Classical Predicate Logic
15 Identity
16 Formalizing with the Equality Predicate
17 Possibilities
Appendix 1 Proof by Induction
Appendix 2 Set-Theory Notation
Appendix 3 Naming, Pointing, and What There Is
Appendix 4 Completeness Proofs
Appendix 5 Other Interpretations of the Quantifiers and Variables
Appendix 6 Mathematical Semantics
Appendix 7 Aristotelian Logic
Index of Symbols
Index of Examples
Index
