Singleton of Empty Class is Transitive
(Redirected from Transitive Class/Examples/Singleton of Empty Class)Jump to navigation Jump to search
Example of Transitive Class
Let $\O$ denote the empty class.
There is one element of $\set \O$, and that is $\O$.
This is a subclass of $\set \O$.
That is, $\set \O$ is transitive.
- 2010: Raymond M. Smullyan and Melvin Fitting: Set Theory and the Continuum Problem (revised ed.) ... (previous) ... (next): Chapter $2$: Some Basics of Class-Set Theory: $\S 10$ Some useful facts about transitivity