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Let $S$ be a set.
Then $S$ is an ordinary set if and only if:
- $S \notin S$
Also known as
Some sources refer to such a set as a normal set.
- Results about ordinary sets can be found here.
- 1963: George F. Simmons: Introduction to Topology and Modern Analysis ... (previous) ... (next): $\S 1$: Sets and Set Inclusion
- 2010: Raymond M. Smullyan and Melvin Fitting: Set Theory and the Continuum Problem (revised ed.) ... (previous) ... (next): Chapter $1$: General Background: $\S 8$ Russell's paradox