Practice question · True or false
De Morgan’s laws hold in the same form for sets as for propositions.
Hints
- Compare the negation of a conjunction with the complement of an intersection.
- Both flip the operation: the complement of an intersection is the union of the complements.
Show the answer
True
Why
True, the complement of an intersection is the union of the complements, exactly as the negation of a conjunction is the disjunction of the negations. The parallel is structural, not notational: both are descriptions of one underlying algebra.
Practise Set Theory: Membership and Operations
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More questions on Set Theory: Membership and Operations
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