Answer by Mark Saving for Prove that a "set of all sets" does not exist.
Yes, your proof is correct.You can actually rephrase your proof and make it constructive. Doing so only slightly modified the proof. Instead of doing case analysis on whether $X \in X$, we can phrase...
View ArticleProve that a "set of all sets" does not exist.
Axiom I used for the proof:The Axiom Schema of Comprehension: Let P$(x)$ be a property of $x$. For any set $A$, there is a set $B$ such that $x\in B$ if and only if $x\in A$ and P$(x)$.Here is my...
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