Question

What is meant by transititive set

Answer 1

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Answer 2

Answer:

In set theory, a branch of mathematics, a set {\displaystyle A}A is called transitive if either of the following equivalent conditions hold:

whenever {\displaystyle x\in A}x\in A, and {\displaystyle y\in x}{\displaystyle y\in x}, then {\displaystyle y\in A}y\in A.

whenever {\displaystyle x\in A}x\in A, and {\displaystyle x}x is not an urelement, then {\displaystyle x}x is a subset of {\displaystyle A}A.

Similarly, a class {\displaystyle M}M is transitive if every element of {\displaystyle M}M is a subset of {\displaystyle M}M.