Logic 4: Natural Deduction with Logical Axioms

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In this four-part series we explore propositional logic, Karnaugh maps, implications and fallacies, predicate logic, existential and universal quantifiers and finally natural deduction.

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0:00 Introduction
1:05 Rules for Conjunction (AND)
1:31 Rules for Disjunction (OR)
1:32 What is the point? Axioms!
3:18 Example 1: Can we swap A and B?
4:50 Example 2: Deconstructing OR
5:38 Rules for Implication (IMP)
6:44 Rules for Equivalence (XNOR)
7:24 Example 3: From equivalence to implication
9:28 Rules for Negation (NOT)
10:49 Temporary Assumptions Workshop
12:06 Example 4: Creating a contradiction
14:12 Rules for Existential Quantifier (∃)
15:00 Rules for Universal Quantifier (∀)
15:28 Bound and Free Variables
17:34 Summary
17:53 Example 5: Is tiger a mammal?
20:03 Conclusion
20:21 Example 6: Every likes kiwis, Milo might like pears
24:38 Example 7: For all, A is true ⇒ For nobody, A is false
31:10 Example 8: White cars and engines
35:53 Example 9: Proving a negative?
38:51 Links