<s>[INST] Does the set of all sets contain itself? Why or why not? [/INST] A set of all sets is a theoretical set that contains every possible set inside of it. However, due to the basic laws of mathematics, it would be impossible to add a copy of a set into the set itself without increasing the total size, thus altering it to the point where the "copy" is no longer accurately described as such.</s>\ <s>[INST] What are these basic laws of mathematics you are referring to? [/INST] A+B cannot be equal to A unless B is 0. A set containing itself in addition to a copy of itself is impossible due to this rule. It would be like saying that A = 2A. Unless the set of all sets was empty to begin with, the notion that it can contain itself in addition to everything else is logically unsound.</s>