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An Introduction to Formal Logic

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Formal logic provides us with a powerful set of techniques for criticizing some arguments and showing others to be valid. These techniques are relevant to all of us with an interest in being skilful and accurate reasoners. In this very accessible book, extensively revised and rewritten for the second edition, Peter Smith presents a guide to the fundamental aims and basic elements of formal logic. He introduces the reader to the languages of propositional and predicate logic, and develops natural deduction systems for evaluating arguments translated into these languages. His discussion is richly illustrated with worked examples and exercises, and alongside the formal work there is illuminating philosophical commentary. This book will make an ideal text for a first logic course and will provide a firm basis for further work in formal and philosophical logic.

Presents the core concepts and methods of logic in a clear and uncluttered way

Helps the reader to grasp the basic concepts and principles behind propositional and predicate logic

Ideal for self-study, containing numerous examples and exercises, with answers online

Συγγραφέας: Smith Peter
Εκδότης: CAMBRIDGE UNIVERSITY PRESS
Σελίδες: 428
ISBN: 9781108411394
Εξώφυλλο: Μαλακό Εξώφυλλο
Αριθμός Έκδοσης: 2
Έτος έκδοσης: 2020

Preface:

1. What is deductive logic?
2. Validity and soundness
3. Forms of inference
4. Proofs
5. The counterexample method
6. Logical validity
7. Propositions and forms
Interlude. From informal to formal logic
8. Three connectives
9. PL syntax
10. PL semantics
11. `P's, `Q's, `_'s, `_'s { and form again
12. Truth functions
13. Expressive adequacy
14. Tautologies
15. Tautological entailment
16. More about tautological entailment
17. Explosion and absurdity
18. The truth-functional conditional
19. `If's and `!'s: why natural deduction?
20. PL proofs: conjunction and negation
21. PL proofs: disjunction
22. PL proofs: conditionals
23. PL proofs: theorems
24. PL proofs: metatheory
Interlude. Formalizing general propositions
25. Names and predicates
26. Quantifers in ordinary language
27. Quantifer-variable notation
28. QL languages
29. Simple translations
30. More on translations
Interlude. Arguing in QL
31. Informal quantifer rules
32. QL proofs
33. More QL proofs
34. Empty domains?
35. Q-valuations
36. Q-validity
37. QL proofs: metatheory
Interlude. Extending QL
38. Identity
39. QL= languages
40. Definite descriptions
41. QL= proofs
42. Functions

Appendix. Soundness and completeness.

Peter Smith has over 35 years' experience in procurement and supply chain as a manager, procurement director, consultant, analyst and writer. Peter is the Managing Director of Procurement Excellence Ltd, a leading specialist consulting firm. He is recognised as one of the UK's leading experts in public and private sector procurement performance improvement. Peter has an MA in Mathematics from Cambridge University. His first book, Buying Professional Services, was published by Profile in 2010.

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