Can We Ace This Empty Set True/False? Guide to Set Theory Basics
In this video, let's ease into the fascinating world of set theory, starting with an introduction to the "empty set" (∅), a set that contains exactly... nothing.
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First of all, there are a few ways to symbolize the empty set, including a symbol that looks like a zero with a slash through it (∅) or just a pair of braces with nothing between them: {}. What can be a little confusing about the first symbol, which is definitely more common, is that it's easy to forget that it represents a set, not merely nothing itself. The empty set definitely isn't nothing*, it's the set that *contains nothing.
One way to think through that distinction is to compare the empty set to several other sets it may or may not be an element of. And so that's what we have with this little true/false quiz. Enjoy!
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