Why is the Empty Set a Subset of Every Set? | Set Theory, Subsets, Subset Definition

The empty set is a very cool and important part of set theory in mathematics. The empty set contains no elements and is denoted { } or with the empty set symbol ∅. As a result of the empty set having no elements is that it is a subset of every set. But why is that? We go over that in this video!

I hope you find this video helpful, and be sure to ask any questions down in the comments!

Related Videos:
What is a Subset?:    • What is a Subset?  


If you are preparing for Set Theory or in the midst of learning Set Theory, you might be interested in the book I learned set theory and proofs from. It is “Book of Proof“ by Richard Hammack. Check out the book and see if it suits your needs! You can purchase the textbook using the affiliate link below which costs you nothing extra and helps support Wrath of Math!

PURCHASE THE BOOK: https://amzn.to/2TwTzG0
Or download the book for free: https://www.people.vcu.edu/~rhammack/...

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