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I hate to cite this as an argument, but take the case of animals that have been trained to count (dogs e.t.c.), their minds have been conditioned to understand things mathamatically rather than discovering them themselves. Things will always be able to be compared as long as two things exist, it's the manner in which you do this, being able to determine the size of half an object, the size of two objects of the same size. Only certain trained minds can comprehend these things. Just as some say Grog and Ug discovered their latant mathamatical ability, I say that by mistake or otherwise, they re-invented their perception of reality to be able to understand it.
just my 0.02
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