Answer by David Wheeler for Axiom of regularity definition
One consequence of this is that $x \cap \{x\} = \emptyset$. This often confuses people, because it seems counter-intuitive.But if the sets $x$ and $\{x\}$ have a common element, it must be $x$ itself,...
View ArticleAxiom of regularity definition
I was reading about the axiom of regularity on Wikipedia.It is stated that:In mathematics, the axiom of regularity (also known as the axiom of foundation) is an axiom of Zermelo–Fraenkel set theory...
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