Logic and sets: free-recall review
Free-recall prompts across the logic-and-sets unit: statements, the AND/OR/NOT rules, set membership, and union versus intersection. Answer first, then check.
Recalling beats re-reading. For each prompt, say or write a full answer from memory first — then open the model answer and compare. The effort of pulling it back is what makes it stick.
Reconstruct the unit’s core ideas from memory: what makes a sentence a statement, how AND, OR, and NOT decide a truth value, what membership means for a set, and how union and intersection differ.
- 01What makes a sentence a statement, and what does its truth value mean?
- 02State the rule for AND and the rule for OR, and the one case where each one fails.
- 03What does NOT do, and how would you evaluate NOT (a false statement)?
- 04What is a set, and why does listing an element twice change nothing?
- 05Explain the difference between the union and the intersection of two sets, with one example.
- 06How do the two set operations mirror the two logical connectives from earlier in the unit?
If you could rebuild each answer from memory, you hold the unit’s spine: a statement carries a fixed true/false value; AND needs both true, OR needs at least one, NOT flips; a set records yes-or-no membership with no count of repeats; and the two set operations are just the two connectives applied to membership — union is ‘or’, intersection is ‘and’.
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