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
Famous quotes containing the word set:
“I’ll give my jewels for a set of beads,
My gorgeous palace for a hermitage,
...
And my large kingdom for a little grave,
A little, little grave, an obscure grave.”
—William Shakespeare (1564–1616)