In real world application of math we have to keep track what we have counting, while pure math cares only about pure numbers.

This is an example of counting rounds in an UFC match (UFC - I do not approve nor like).

[ math, mathematics, math application, axioms, examples of natural numbers, natural numbers, axioms, sets, number theory, ]

This is an example of counting rounds in an UFC match (UFC - I do not approve nor like).

[ math, mathematics, math application, axioms, examples of natural numbers, natural numbers, axioms, sets, number theory, ]

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