1983Medical Entomology and ZoologyRequires access

Understanding symbolic logic

Virginia Klenk

Open publisher page 18 citations

Abstract

I. SENTENTIAL LOGIC. 1. Introduction to Logic. 2. The Structure of Sentential Logic. 3. Computing Truth Values. 4. Symbolizing English Sentences. 5. Truth Tables for Testing Validity. 6. Further Applications of the Truth Table Method. 7. The Proof Method: Eight Basic Inference Rules. 8. Replacement Rules. 9. Conditional Proof and Indirect Proof. II. MONADIC PREDICATE LOGIC. 10. Singular Sentences. 11. Quantifiers. 12. Categorical Propositions. 13. Complex Subjects and Predicates. 14. Quantifier Form and Truth-Functional Compounds of Quantifier Statements. 15. Proofs in Predicate Logic. 16. Invalidity in Quantifier Logic. III. RELATIONAL PREDICATE LOGIC. 17. Symbolization in Relational Predicate Logic. 18. Proofs and Invalidity for Relational Predicate Logic. 19. Identity and Definite Descriptions. 20. Proofs Involving Identity. IV. EXTRA CREDIT UNITS. 21. Well-Formed Formulas for Sentential Logic. 22. Polish Notation for Sentential Logic. 23. Proof Trees for Sentential Logic. 24. Using Venn Diagrams to Prove Validity. 25. Stroke (nand) and Dagger (nor) Operators. 26. Proof Trees for Predicate Logic. Answers to Starred Exercises. Index.

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What this paper is about

I. SENTENTIAL LOGIC. 1. Introduction to Logic. 2. The Structure of Sentential Logic. 3. Computing Truth Values. 4. Symbolizing English Sentences. 5. Truth Tables for Testing Validity. 6. Further Applications of the Truth Table Method. 7. The Proof Method: Eight Basic Inference Rules. 8. Replacement Rules. 9. Conditional Proof and Indirect Proof. II. MONADIC PREDICATE LOGIC. 10. Singular Sentences. 11. Quantifiers. 12. Categorical Propositions. 13. Complex Subjects and Predicates. 14. Quantifier Form and Truth-Functional Compounds of Quantifier Statements. 15. Proofs in Predicate Logic. 16. Invalidity in Quantifier Logic. III. RELATIONAL PREDICATE LOGIC. 17. Symbolization in Relational Predicate Logic. 18. Proofs and Invalidity for Relational Predicate Logic. 19. Identity and Definite Descriptions. 20. Proofs Involving Identity. IV. EXTRA CREDIT UNITS. 21. Well-Formed Formulas for Sentential Logic. 22. Polish Notation for Sentential Logic. 23. Proof Trees for Sentential Logic. 24. Using Venn Diagrams to Prove Validity. 25. Stroke (nand) and Dagger (nor) Operators. 26. Proof Trees for Predicate Logic. Answers to Starred Exercises. Index.

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Available abstract

I. SENTENTIAL LOGIC. 1. Introduction to Logic. 2. The Structure of Sentential Logic. 3. Computing Truth Values. 4. Symbolizing English Sentences. 5. Truth Tables for Testing Validity. 6. Further Applications of the Truth Table Method. 7. The Proof Method: Eight Basic Inference Rules. 8. Replacement Rules. 9. Conditional Proof and Indirect Proof. II. MONADIC PREDICATE LOGIC. 10. Singular Sentences. 11. Quantifiers. 12. Categorical Propositions. 13. Complex Subjects and Predicates. 14. Quantifier Form and Truth-Functional Compounds of Quantifier Statements. 15. Proofs in Predicate Logic. 16. Invalidity in Quantifier Logic. III. RELATIONAL PREDICATE LOGIC. 17. Symbolization in Relational Predicate Logic. 18. Proofs and Invalidity for Relational Predicate Logic. 19. Identity and Definite Descriptions. 20. Proofs Involving Identity. IV. EXTRA CREDIT UNITS. 21. Well-Formed Formulas for Sentential Logic. 22. Polish Notation for Sentential Logic. 23. Proof Trees for Sentential Logic. 24. Using Venn Diagrams to Prove Validity. 25. Stroke (nand) and Dagger (nor) Operators. 26. Proof Trees for Predicate Logic. Answers to Starred Exercises. Index.

Key concepts: Predicate functor logic, Predicate logic, Predicate variable, Higher-order logic, Philosophy of logic, Many-valued logic, Mathematics, Mathematical proof

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