Introduction to Logic

Series
Prentice Hall
Author
Howard Pospesel / Howard Pospesel  
Publisher
Pearson
Cover
Softcover
Edition
2
Language
English
Total pages
282
Pub.-date
June 2002
ISBN13
9780131649897
ISBN
0131649892
Related Titles



Description

For courses in Introduction to Logic and Formal Logic.

This clearly written volume covers symbolization, proofs, counterexamples, and truth trees. These topics are presented in graded steps, beginning with the symbolization of categorical propositions and concluding with the properties of relations. This new edition includes 'PredLogic,' a CD-ROM-based tutorial for students.

Features

  • NEW - CD-ROM Tutorial, 'PredLogic'-Windows-based software that helps students learn to symbolize, construct proofs of validity, devise counterexamples, and create truth trees. The program enables students to catch errors as they are made, and it offers hints for solving problems.
    • Helps students gain valuable practice in working additional problems.

  • NEW - Examples and Exercises-Replaces most of the original exercises and examples with better and more current content. New sections treat possible-world counterexamples, intentional contexts, and quantifier scope.
    • Updated examples and exercises, and expanded content in sections, will appeal to a new generation of students.

  • Reorganized approach-Allows students to develop symbolization and proof-construction skills more gradually and in tandem.
    • Enables students to comprehend these challenging techniques more easily and employ them effectively.

  • Truth Trees-Includes coverage of truth trees.
    • Teaches students this frequently-employed method of determining validity.

  • Appendix on metatheory-Includes an appendix on the metatheory of predicate logic written by William G. Lycan.
    • Students benefit from discussion of this advanced topic.

New to this Edition

  • CD-ROM Tutorial, 'PredLogic'-Windows-based software that helps students learn to symbolize, construct proofs of validity, devise counterexamples, and create truth trees. The program enables students to catch errors as they are made, and it offers hints for solving problems.
    • Helps students gain valuable practice in working additional problems.

  • Examples and Exercises-Replaces most of the original exercises and examples with better and more current content. New sections treat possible-world counterexamples, intentional contexts, and quantifier scope.
    • Updated examples and exercises, and expanded content in sections, will appeal to a new generation of students.

Table of Contents



 1. Introduction.


 2. Basic Symbolization.


 3. Proofs: "O and $O.


 4. Proofs: $I and QE.


 5. Intermediate Symbolization.


 6. Intermediate Proofs.


 7. Counterexamples.


 8. Truth Trees.


 9. Property-Logic Refinements.


10. Relational Symbolization.


11. Relational Proofs.


12. Relational CEXes and Trees.


13. Relational-Logic Refinements.


14. Natural Arguments.


Appendix 1. Propositional Logic: A Brief Review.


Appendix 2. Metatheory.


Appendix 3. Using PredLogic.


Appendix 4. Solutions to Starred Exercises.


Index.


Proof Rules.


Truth-Tree Rules.

Back Cover

This clearly written, new edition by Howard Pospesel extends to general statements the system developed in Propositional Logic, revised Third Edition. This new edition covers symbolization, proofs, counterexamples, and truth trees. These topics are presented in graded steps, beginning with the symbolization of categorical propositions and concluding with the properties of relations.

Examples and exercises are drawn from such sources as newspapers, television broadcasts, films, books, and exams. The book enhances students' ability to recognize and evaluate the predicate arguments they encounter outside the logic classroom. Logic is made accessible without sacrificing rigor.

Among the new and revised elements in the Second Edition:
  • Many new exercises and examples
  • A chapter on truth trees
  • New sections treating possible-world counterexamples, intensional contexts, quantifier scope, and quantifier order
  • An appendix on metatheory by William G. Lycan
Also, with this new Second Edition!

PredLogic, Windows-based software provides an environment in which students symbolize sentences, construct proofs of validity, devise counterexamples, and create truth trees. The program enables students to catch errors as they are made, and it offers hints for solving problems.

Reader Review(s)


"The accuracy of the text and the clarity of the explanations are first-rate .... I have taught from it for 12 years! .... [T]he strongest point in favor of Pospesel's two introductory logic texts is their eminent teachability." - Richard Arthur, Middlebury College