1. It happens with majority of children when they play, they are so curious to know about their toys that they start opening its screws, or break it and still break more to know more about their toys (but they may end up in dismay sometimes!).
2. Mathematicians are no different (they are crazier than those children). They want to break everything infinitely! (And as with the children so is with Mathematicians, they may end up in dismay sometimes!J).
3. So they started to break Sets in as many possible ways as they can. And these pieces they called as Subsets.
4. Subsets are also sets that are made from a set by splitting it into different sets that contains few of the selected things from the main set.
5. Well, we are dealing with mathematicians here, so we have to take extreme meanings also in consideration.
6. Few here really means two extremes of few are possible – one extreme is the same number of elements in the main set and next extreme is no elements at all.
7. Simply put, an entire Pizza is a set and all of its pieces are its subsets.
8. Even the entire Pizza is also its own subset, and when you have eaten all of the Pizza and no pieces are there, that is also a subset of the entire Pizza!
9. So, next time when you don’t get a chance to bite on the Pizza among your friends, don’t worry you still have got its one of the subsets! J (I warned before also, mathematicians take a pride in making you crazy like them)
Few formalized representations:
Φ or {} – empty set
{Some rules or things listed comma separated} – Representation of a set
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