Practice question · Select all that apply
Which statements about the empty set are correct?
Hints
- Three follow from having no members; one confuses subset with member.
- Being a subset of everything does not make it a member of everything.
Show the answer
- B. It is unique
- C. It is a subset of every set
- D. It has no members
Why
The empty set is a subset of every set vacuously, it has no member that could fail to belong. It is a member only of sets that explicitly contain it: is true while is false.
Practise Set Theory: Membership and Operations
The app has 4 more questions on this lesson, and keeps your place in the course. Philosophy I is free to start.
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