Answer by Dan Christensen for Is the "Most Important Property a Set S has"...
In tricky situations such as this, set-builder notation is probably not the best choice. Instead of {S is a set| S $\notin$ S}, with it's inherent ambiguity (being neither true nor false), you should...
View ArticleAnswer by hmakholm left over Monica for Is the "Most Important Property a Set...
No, that doesn't tell us anything relevant about sets.Since $x\notin S$ is just an abbreviation for $\neg(x\in S)$, we can abbreviate your property$$ \forall x. \; (x\in S \lor \neg(x\in S))\land...
View ArticleIs the "Most Important Property a Set S has" Necessary and Sufficient to...
About a year and a half ago, while I was looking on the Web for papers regarding the Russell paradox, I chanced to find an interesting concept. This concept was contained in what (for want of a better...
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