In any way that you like, provided that you define the rule clearly. For examples, number is ascending order, in descending order, by their fractional parts (ascending or descending), by their remainder when divided by some other number, and so on.
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order pair
It would be the middle number of a set of numbers or data in numerical order
No, Order does not matter
An arithmetical set is a set of natural numbers which can be defined by a formula of first-order Peano arithmetic.
By definition, the set of counting numbers starts at one and proceeds in ascending order. The next number is 2. If two were not the next number in the set, it would not be the set of counting numbers.