Transitive Set
In set theory, a set A is transitive, if and only if
- whenever x ∈ A, and y ∈ x, then y ∈ A, or, equivalently,
- whenever x ∈ A, and x is not an urelement, then x is a subset of A.
Similarly, a class M is transitive if every element of M is a subset of M.
Read more about Transitive Set: Examples, Properties, Transitive Closure, Transitive Models of Set Theory, See Also
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—George Berkeley (1685–1753)