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Logic Primer, third edition [Pehme köide]

  • Formaat: Paperback / softback, 184 pages, kõrgus x laius: 229x178 mm
  • Ilmumisaeg: 15-Feb-2022
  • Kirjastus: MIT Press
  • ISBN-10: 0262543648
  • ISBN-13: 9780262543644
Teised raamatud teemal:
  • Formaat: Paperback / softback, 184 pages, kõrgus x laius: 229x178 mm
  • Ilmumisaeg: 15-Feb-2022
  • Kirjastus: MIT Press
  • ISBN-10: 0262543648
  • ISBN-13: 9780262543644
Teised raamatud teemal:
"A comprehensive and rigorous textbook introduction to modern symbolic logic that provides a modular approach to formal deduction from the basic sentential logic through first-order predicate calculus"--

The new edition of a comprehensive and rigorous but concise introduction to symbolic logic.

Logic Primer offers a comprehensive and rigorous introduction to symbolic logic, providing concise definitions of key concepts, illustrative examples, and exercises. After presenting the definitions of validity and soundness, the book goes on to introduce a formal language, proof theory, and formal semantics for sentential logic (chapters 1–3) and for first-order predicate logic (chapters 4–6) with identity (chapter 7). For this third edition, the material has been reorganized from four chapters into seven, increasing the modularity of the text and enabling teachers to choose alternative paths through the book. New exercises have been added, and all exercises are now arranged to support students moving from easier to harder problems.
 
Its spare and elegant treatment makes Logic Primer unique among textbooks. It presents the material with minimal chattiness, allowing students to proceed more directly from topic to topic and leaving instructors free to cover the subject matter in the way that best suits their students. The book includes more than thirty exercise sets, with answers to many of them provided in an appendix. The book’s website allows students to enter and check proofs, truth tables, and other exercises interactively.
Preface ix
Acknowledgments xvii
1 Sentential Logic: Basic Concepts and a Formal Language
1(16)
1.1 Basic Logical Notions
1(2)
1.2 Elements of a Formal Language
3(2)
1.3 Well-Formed Formulas
5(5)
1.4 Translation of English to Sentential Wffs
10(7)
2 Sentential Logic: Proofs
17(20)
2.1 Primitive Rules of Proof
17(10)
2.2 Sequents and Derived Rules
27(6)
2.3 Theorems
33(4)
3 Sentential Logic: Truth Tables
37(14)
3.1 Truth Tables for Sentences
37(3)
3.2 Truth Tables for Sequents
40(2)
3.3 Tautologies
42(2)
3.4 Indirect Truth Tables
44(3)
3.5 English Counterexamples
47(4)
4 Predicate Logic: Formal Language
51(14)
4.1 A Formal Language for Predicate Logic
51(7)
4.2 Translation of English to Quantified Wffs
58(7)
5 Predicate Logic: Proofs
65(12)
5.1 Primitive Rules of Proof
65(8)
5.2 Theorems and Derived Rules of Proof
73(4)
6 Predicate Logic: Models
77(14)
6.1 Finite Interpretations and Expansions with One-Place Predicates
77(4)
6.2 Finite Countermodels for Arguments with One-Place Predicates
81(3)
6.3 Finite Countermodels for Arguments with Many-Place Predicates
84(4)
6.4 Infinite Countermodels
88(3)
7 Predicate Logic with Identity
91(10)
7.1 Formal Language
91(4)
7.2 Proofs
95(3)
7.3 Countermodels
98(3)
A Appendix: Answers to Selected Exercises
101
A.1
Chapter 1 Answers
101(2)
A.2
Chapter 2 Answers
103(24)
A.3
Chapter 3 Answers
127(6)
A.4
Chapter 4 Answers
133(6)
A.5
Chapter 5 Answers
139(11)
A.6
Chapter 6 Answers
150(4)
A.7
Chapter 7 Answers
154