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this argument is making me want to re-read "Where Does Math Come From?" @MichaelPDeacon/609699175819812864
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numbers represent both units and intervals. if not for math, the fact they can be thought of in the same way would not be obvious.
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the quantity of eggs in a small box, and the height of a quite tall person. both 6 (eggs/feet).
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that age (or days, or time, generally) isn't rounded, but distance is. quantities are often not able to be fractional in a simple way.