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An Introduction to Formal Logic

An Introduction to Formal Logic

$36.99 (X)

  • Date Published: December 2003
  • availability: Available
  • format: Paperback
  • isbn: 9780521008044

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About the Authors
  • Peter Smith introduces the reader to the languages of propositional and predicate logic, and then develops formal systems for evaluating arguments translated into these languages, concentrating on the easily comprehensible "tree" method. His commentary is supplemented with examples and exercises, making the text appropriate for a first logic course. The book will also provide a basis for further research in formal and philosophical logic.

    • Introduces the student reader to the fundamentals of formal logic using the tree method
    • Clearly and accessibly written but also philosophically sophisticated
    • Helpful examples and exercises
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    Product details

    • Date Published: December 2003
    • format: Paperback
    • isbn: 9780521008044
    • length: 364 pages
    • dimensions: 245 x 174 x 23 mm
    • weight: 0.728kg
    • availability: Available
  • Table of Contents

    1. What is logic?
    2. Validity and soundness
    3. Patterns of inference
    4. The counterexample technique
    5. Proofs
    6. Validity and arguments
    7. Three propositional connectives
    8. The syntax of PL
    9. The semantics of PL
    10. 'A's and 'B's, 'P's and 'Q's
    11. Truth functions
    12. Tautologies
    13. Tautological entailment
    14. PLC and the material conditional
    15. More on the material conditional
    16. Introducing PL trees
    17. Rules for PL trees
    18. PLC trees
    19. PL trees vindicated
    20. Trees and proofs
    21. Quantifiers
    22. QL introduced
    23. QL explored
    24. More QL translations
    25. Introducing QL trees
    26. The syntax of QL
    27. Q-valuations
    28. Q-validity
    29. More on QL trees
    30. QL trees vindicated
    31. Extensionality
    32. Identity
    33. The language QL=
    34. Descriptions and existence
    35. Trees for identity
    36. Functions.

  • Author

    Peter Smith, University of Cambridge
    Peter Smith's publications include The Philosophy of Mind (1986) and Explaining Chaos (1998).

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