Logic and Truth Tables
📋 What it is
Logic combines TRUE/FALSE statements with AND, OR, and NOT; a truth table lists every possible outcome.
🗣️ Coach says
Computers and proofs run on logic. "AND" is true only when BOTH parts are true; "OR" is true when AT LEAST ONE is; "NOT" flips true to false. A truth table writes out every combination so nothing is missed. Spotting a faulty argument (a fallacy) is the same skill — checking whether the logic actually holds.
🧠 Memory hook
AND = both true. OR = at least one true. NOT = flip. A truth table checks EVERY case.
😂 Giggle
Why did the tree graph lose the race?
It kept branching off!
😲 Whoa!
Every app, game, and website ultimately runs on billions of tiny AND/OR/NOT gates etched into a chip.
✅ Quick check: Is "it is raining AND it is sunny" true when it is only sunny?
Say your answer out loud first — then reveal.
False — AND needs BOTH parts true, and it is not raining.
An AND statement is true only when every part is true.
🪄 Trick question: "NOT (it is cold)" — if it IS cold, is that statement true?
Careful — think it through, then reveal.
False — NOT flips a true "it is cold" to false.
NOT reverses the truth value: true becomes false.
🧪 Try it! (2 minutes)
Write a truth table for "A OR B" with A and B each true/false (4 rows). Mark which rows are true.