History of Power set

	Revision 2 . . December 17, 2001 4:54 am by (logged).117.133.xxx [Moved last two paragraphs to [[subset]]]
	Revision 1 . . August 23, 2001 4:47 am by Zundark [moved from Powerset]

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Difference (from prior major revision) (no other diffs)

Changed: 3c3

If S is the set {A, B, C} then {A,C} is a subset of S. There are sets that are also subsets of S as well, the complete list is as follows:

If S is the set {A, B, C} then {A,C} is a subset of S. There are other sets that are also subsets of S as well; the complete list is as follows:

Removed: 18,20d17

In case you were wondering, for any given set S, S is always considered to be a subset of itself (by definition) - a proper subset is any subset except the set itself. Also, the empty set, written {}, is also a subset of any given set S. This is because the empty set vacuously satisfies the definition of a subset of S; since the empty set has no elements, every element it the empty set is also an element of S, for any given set S. If the above paragraph sounds a bit like double-speak - it is only because it is stating the obvious.