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Logic
PropositionalAndPredicateLogic
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Lecture 1 (Logic)
Logic
Introduction
Chapter 1: Sentential Connectives
- 1.1 Negation and Conjunction
- 1.2 Disjunction
- 1.3 Implication: Conditional Sentences
- 1.4 Equivalence: Biconditional Sentences
- 1.5 Grouping and Parentheses
- 1.6 Truth Tables and Tautologies
2
Lecture 2 (Logic)
Logic
Chapter 1: Sentential Connectives
- 1.7 Tautological Implication and Equivalence
Chapter 2: Sentential Theory of Inference
- 2.1 Two Major Criteria of Inference and Sentential Interpretation
- 2.2 The Three Sentential Rules of Derivation
3
Lecture 3 (Logic)
Logic
Chapter 2: Sentential Theory of Inference (Continued)
- 2.3 Useful Tautological Implications
- 2.4 Consistency of Premises and Indirect Proof
4
Lecture 4 (Logic)
Logic
Chapter 3: Symbolizing Everyday Language
- 1. Grammar and Logic
- 2. Terms
- 3. Predicates
- 4. Quantifiers
- 5. Bound and Free Variables
- 6. A Final Example
5
Lecture 5 (Logic)
Logic
Chapter 4: General Theory of Inference
- 1. Inference with Universal Quantifiers
- Example of Axiomatic System for Weak Preference
6
7
Lecture 7 (Logic)
Logic
Chapter 4: General Theory of Inference
- 2. Interpretations and Validity
- 3. Restricted Inferences with Existential Quantifiers
8
Lecture 8 (Logic)
Logic
Chapter 4: General Theory of Inference
- 4. Interchange of Quantifiers
- 5. General Inferences
Chapter 5: Further Rules of Inference
- 1. Logic of Identity
9
Lecture 9 (Logic)
Logic
Chapter 5: Further Rules of Inference
- 2. Theorems of Logic
- 3. Group Theory
10
Lecture 10 (Logic)
Logic
Chapter 7: Transition to Informal Proof
- Examples with the Axioms of Arithmetic.
11
Lecture 11 (Logic)
Logic
Chapter 7: Transition to Informal Proof
- Examples with the Axioms of Arithmetic.
- Dividing by 0
12
Lecture 1 (Logic)
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