Introduction to Logic : Propositional Logic （3 SUB）

Pospesel, Howard/ Lycan, William G.

Pearson College Div（1997/11発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 259 p.
• 言語 ENG
• 商品コード 9780131649972
• DDC分類 160

Full Description

A fun yet challenging introduction to propositional logic, treating the symbolization of English sentences and developing formal-proof, truth-table, and truth-tree techniques for evaluating arguments. Material is organized around natural-deduction formal-proof procedures. Logic is applied to content

Contents

1. Logic. Introduction. Key Terms. Exercises. 2. If. Compound Statements. Symbolizing Conditionals. Arrow Out. Exercises. 3. And. Symbolizing Conjunctions. Ampersand In. Ampersand Out. Exercises. 4. If (Again). Symbolizing Puzzling Conditionals. Arrow In. Exercises. 5. Not. Symbolizing Negations. Dash In. Dash Out. Exercises. 6. Iff. Symbolizing Biconditionals. Double Arrow In and Out. Exercises. 7. Or. Symbolizing Disjunctions. Wedge In. Wedge Out. Exercises. 8. Resume. Summary. Proof Strategy. Definitions. Exercises. 9. Derived Rules. Four Derived Rules 1. Exercises. Derived Rules 2. Exercises. 10. Truth Tables. Full Truth Tables. Exercises. Brief Truth Tables. Exercises. 11. Truth Trees. Constructing Trees. Testing Arguments. Exercises. 12. Statements. Logical Truths. Contradictions. Contingent Statements. Exercises. 13. Logical Relations. Entailment. Logical Equivalence. Exercises. 14. Natural Arguments. Argument Identification. Formalization. Evaluation. Exercises. Appendix 1. Metatheory: Soundness and Completeness of the System PL. Appendix 2. Is Propositional Logic Reliable? Appendix 3. Alternative Symbols. Appendix 4. One-Sided Truth Trees. Appendix 5. Solutions to Starred Exercises. Index. Proof Rules. Truth-Tree Rules.