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Decius comments on The Emergence of Math - Less Wrong
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Quantities can be converted to and from numbers:
(32 ft * lbf / (lbm sec^2))=1
(64 ft * lbf / (lbm sec^2))=2
It is true, but not useful, to say that the area of a circle with radius R is equal to
or equivalently,
Taking the sec^2lbf root does not have an analogue in reality, but the units output from taking the time^2*Force root of a distance raised to the power of scalar*distance*mass is area in this specific case.