Definition:Transitive Class/Also known as
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Transitive Class: Also known as
A transitive class is also known as a complete class.
Thus a class which is not transitive can be considered to be a class with "holes" in it.
Sources
- 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