1/30/15

Ordering a Set.

In mathematics, a set is a collection of distinct objects, considered as an object in its own right.

For example: the numbers 2, 4, and 6 are distinct objects when considered separately, but when they are considered collectively they form a single set of size three, written {2,4,6}.

Set elements do not have order by definition, but sets can contain an ordering element that is of strict total order binary relation type, as well.

Then, we can use this ordering element to unambiguously determine order of other elements in our set.

We can say then: 'we have a set S with strict total order relation R', for example.

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