Reasoning: Validating Arguments using Binary Operations
A lesson in the Mathematics in the Modern World, this video is mostly about the binary operations. At the latter part of the video, two arguments were tested for validity.
Truth Table generator:
https://web.stanford.edu/class/cs103/...
Chapters in the video:
0:00 Introduction
1:47 Definition of a proposition
2:39 Negation of a proposition
3:20 Compound proposition
3:43 ^ Conjunction (AND)
5:53 ˇ Disjunction (OR)
9:00 De Morgan's Law
9:35 ⊕ Exclusive Disjunction
10:22 | Not and (NAND)
12:53 ↓ Not or (NOR)
13:48 ≡ identical compound propositions
16:00 → If-then (Conditional proposition)
18:30 ↔ Bi-conditional operator
20:18 Tautology, Contradiction, and Contingency
20:35 Verifying arguments
26:01 Outro
Links of the video clips used:
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4. Proof by Contrapositive | Method & First Example by Trefor Bazett
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