Truth Tables Tutorial (How to compute the Negation, Negation, Conjunction, Disjunction Statements)

In this video, we dive deep into propositional logic, exploring how to construct truth tables for key logical statements, by solving questions on them, including:

✅ Negation (~P) – The opposite of a statement
✅ Conditional (If P, then Q → P → Q) – Logical implications
✅ Contrapositive (~Q → ~P) – Equivalent to the original conditional
✅ Disjunction (P ∨ Q) – "OR" statements (inclusive vs. exclusive)

We’ll break down each concept with clear truth tables, so you can master logical reasoning for math, computer science, or philosophy!

What You’ll Learn:
1) How to construct truth tables for complex logical statements
2) The difference between converse, inverse, and contrapositive
3) When P → Q is false (Hint: Only when P is true and Q is false!)
4) How negation flips truth values
5) Why disjunction (OR) includes cases where both statements are true

Key Takeaways:
The contrapositive is logically equivalent to the original conditional.
P → Q is only false in one scenario (P=T, Q=F).
Disjunction (P ∨ Q) is true if at least one statement is true.

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#Logic #TruthTables #ConditionalStatements #Contrapositive #Disjunction #DiscreteMath

Видео Truth Tables Tutorial (How to compute the Negation, Negation, Conjunction, Disjunction Statements) канала CONTENT-ACADEMY