Lesson subsection
Read the explanation, try the on-paper prompts, then explain the idea in your own words. Use AI feedback as a mentor, not a shortcut.
Best flow: read → think on paper → write a short explanation → refine with feedback.
Truth tables let us analyze compound logical statements by listing all possible truth values.
Two statements P and Q are logically equivalent if they always have the same truth value.
Key examples:
Truth tables are a mechanical tool to verify these equivalences.
TL;DR — key idea
Truth tables measure truth under all conditions. Logical equivalence means two statements behave identically in every case.
Don’t skip this – writing proofs or explanations on paper is where most of the learning actually happens.
Construct a truth table for the expression ¬P ∨ Q. Is it logically equivalent to P → Q? Explain why or why not.
Once you’ve sketched some ideas, summarize the main insight in the reflection box on the right.
In 3–6 sentences, explain the core idea of this subsection as if you were teaching a friend who hasn’t seen it. Focus on the logic, not just the final statements.
AI is optional. Use it to spot gaps and sharpen your wording, not to replace your own thinking.