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All the Formal Logic You Need to Know
for Critical Thinking
Introduction
Note: There's a BIG text appendix at the end of this video course
Introduction: What is Propositional Logic? (5:55)
PDF Ebook - Basic Concepts in Propositional Logic
Compound Claims
1. Conjunctions (A and B) (4:25)
2. Disjunctions (A or B) (3:53)
3. Conditionals (If A then B) (7:02)
How to Think About the Logical Connectives in Propositional Logic
How to Think About the Logical Connectives in Propositional Logic
The Difference Between Natural Languages and Formal Languages
Issues with Translating "AND" and "OR"
Issues With Translating Conditionals: "If A then B"
Contradiction and Consistency
1. Contradictories (not-A) (2:34)
2. Contradictories vs Contraries (3:04)
3. Contradictions (A and not-A) (3:48)
4. Consistency and Inconsistency (5:03)
Contradictories of Compound Claims
1. not-(not-A) (2:18)
2. not-(A and B) (2:56)
3. not-(A or B) (1:51)
4. not-(If A then B) (3:46)
Ways of Saying IF A THEN B
1. A if B (2:49)
2. A only if B (3:34)
3. A if and only if B (2:27)
4. A unless B (1:59)
5. The Contrapositive: If not-B then not-A (3:23)
6. (not-A) or B (4:35)
7. Necessary and Sufficient (4:41)
Appendix: Categorical Claims and Their Contradictories
1. Categorical versus Propositional Logic (5:47)
2. All A are B (3:05)
3. Only A are B (3:23)
4. Some A are B (3:17)
5. The Square of Opposition (1:00)
Text Appendix: What I Wish I Knew About Logic Before Taking a Symbolic Logic Class
What I Wish I Knew About Logic Before Taking a Logic Class
Why Do Linguistics Majors Have To Study Logic?
Natural Language Has a Logical Structure
Formal Logic Was Developed To Understand the Nature of Deductive Proof, Not Language
Different Logical Systems Can Be Used to Model Different Fragments of Natural Language
Aristotelian Logic: The Logic of Categories
Propositional Logic: The Logic of Statements
There Are Many Logics
Predicate Logic: The Logic of Quantifiers and Variables
Wrapping Up
4. Some A are B
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