So i read a lot about this and I am a little bit confused if we have let's suppose $\{4\}$ then this is an element of the set $\{1,2, \{2\}, \{\{4\}\}\}$, but it is not a subset ?
$\{4\}$: element vs. subset of $\{1,2, \{2\}, \{\{4\}\}\}$
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discrete-mathematics
elementary-set-theory
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0I've tried to format, but I had to add a comma to your set. Please make sure it's correctly displayed. – 2017-01-21
1 Answers
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No ! $\{ 4 \}$ is not an element of this set. But $\{ \{ 4\} \}$ is an element of this set; $\{ \{ \{ 4\} \} \}$ is a subset of this set.