ordered in sets

Relations {ordered} between two or more things can have sequence. Sequence does not have to be complete {partial order}.

number

For two things, first {first coordinate} and second {second coordinate} make pair {ordered pair, set} or relation {binary relation}. First coordinate belongs to domain. Second coordinate belongs to range. Second coordinate derives from first coordinate {Cartesian product, pair}.

Relations can be among many things {ordered n-tuple} {n-ary relation}, with many coordinates.

types

Order can be linear {simple order} {linear order}. All set members can have simple order {chain, set}. Non-empty sets can have unique lowest members {well-ordered set}.

value

Sets can have unique lowest {least element} member. Sets can have unique highest {greatest element} member. Maximum at lowest member {least upper bound, element} and minimum at highest member {greatest lower bound, element} bound interval.

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Date Modified: 2022.0224