For Gods sake do not say 'YES'.
2007-04-30 20:52:30 · 7 answers · asked by tony 2 in Science & Mathematics ➔ Mathematics
How many sets are there with at least two elements?
Obviously, there are infinitely many (all integers greater than 1; all integers greater than 2; all integers greater than 3; ...)
Each of these sets is an element of A. Therefore, A has infinitely many elements. This is more than 2, so A is a set with at least two elements. So A is an element of A.
So I'm afraid the answer really is 'Yes'.
2007-04-30 21:04:32 · answer #1 · answered by Scarlet Manuka 7 · 0⤊ 0⤋
Oh.. sorry, did you answer 'no' in your math test? I'm afraid it has to be yes, because A has to have more than 2 sets as elements. There are many sets which have two and more elements, so, yes, A does belong to itself. For example, set of all natural numbers belongs to A. So does the set of all real numbers.
2007-04-30 21:05:56 · answer #2 · answered by beachblue99 4 · 0⤊ 0⤋
No. A doesnt belong to itself. Theres no maybe or may not be about it. Its just not possible that A belongs to itself if it has atleast 2 elements.. Every set is a subset of itself, but every set doesnt belong to itself..
so NO.
2007-04-30 21:00:58 · answer #3 · answered by Anonymous · 0⤊ 1⤋
I'm afraid its Yes, because every set is a subset of itself.
2007-04-30 20:58:48 · answer #4 · answered by ? 3 · 0⤊ 1⤋
In fact such a set donot exist!
2007-04-30 20:56:41 · answer #5 · answered by Ahmad k 2 · 0⤊ 0⤋
At least two elements - Yes - only two then no- why No?
2007-04-30 21:02:23 · answer #6 · answered by Anonymous · 0⤊ 1⤋
Yes, it may be
2007-04-30 20:56:43 · answer #7 · answered by Anonymous · 0⤊ 1⤋