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by Corry Shores
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[Logic & Semantics, Entry Directory]
[David Agler, entry directory]
A version with the inclusion of brief summaries and examples can be found here:
Agler’s Symbolic Logic: Syntax, Semantics, and Proof, collected brief summaries [with examples]
Entry Directory for
David W. Agler
Symbolic Logic: Syntax, Semantics, and Proof
Introduction / Ch.1:
Introduction
and
Ch.1: Propositions, Arguments, and Logical Properties
Sections 1.1-1.2: Propositions – Arguments
Section 1.3: Deductively Valid Arguments
and
Section 1.4: Summary
Ch.2: Language, Syntax, and Semantics
2.2 The Symbols of PL and Truth-Functional Operators
2.4 Disjunction, Conditional, Biconditional
Ch.3: Truth Tables
3.1 Valuations (Truth-Value Assignments)
3.2 Truth Tables for Propositions
3.3 Truth Tables Analysis of Propositions
3.4 Truth Tables Analysis of Sets of Propositions
3.5 The Material Conditional Explained (Optional)
3.6 Truth Table Analysis of Arguments
3.7 Short Truth Table Test for Invalidity
Ch.4: Truth Trees
4.1 Truth-Tree Setup and Basics in Decomposition
4.2 Truth-Tree Decomposition Rules
4.3 The Remaining Decomposition Rules
4.6 Logical Properties of Truth Trees
Ch.5: Propositional Logic Derivations
5.2 Premises and the Goal Proposition
5.5 Additional Derivation Rules (PD+)
5.6 Additional Derivation Strategies
Ch.6: Predicate Language, Syntax, and Semantics
6.1 The Expressive Power of Predicate Logic
6.5 Translation from English to Predicate Logic
6.6 Mixed and Overlapping Quantifiers
Ch.7: Predicate Logic Trees
7.1 Four New Decomposition Rules
7.2 Strategies for Decomposing Trees
7.4 Undecidability and the Limits of the Predicate Tree Method
Ch.8: Predicate Logic Derivations
Agler, David. Symbolic Logic: Syntax, Semantics, and Proof. New York: Rowman & Littlefield, 2013.
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