- #1
Solid Snake
- 26
- 0
Ok. I don't understand sets within sets. No one has been able to explain it to me simply.
So you can have sets inside of sets. That I get. But what happens when you get to something tricky like the empty set? For example, I know that ø ε {ø} is true. I don't understand how. How do I read this? Does this mean that "the empty set is in a set that contains the empty set"?
How do I read "{{ø}} is a subset of {ø, {ø}}"? I think I read it as "a set that contains a set that contains the empty set is a subset of a set with the elements of the empty set, and a set that contains the empty set"? Is this how to read it? Thanks.
So you can have sets inside of sets. That I get. But what happens when you get to something tricky like the empty set? For example, I know that ø ε {ø} is true. I don't understand how. How do I read this? Does this mean that "the empty set is in a set that contains the empty set"?
How do I read "{{ø}} is a subset of {ø, {ø}}"? I think I read it as "a set that contains a set that contains the empty set is a subset of a set with the elements of the empty set, and a set that contains the empty set"? Is this how to read it? Thanks.