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.
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