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addendum to my analysis of mathematical/and/qualitative approaches to nature

This relates to that analysis of mechanism where a person discovers a machine/or/device and tries to analyze it without guessing its purpose....he would describe it in lawful language.

The new point is that engineering (techne/ars in Greek/Latin) is able to use nature for achieving human purposes precisely by thinking of nature as an instrument.  In order to give a supervening purpose to nature, it must describe it in a manner that is, in a sense, ateleological.  And that language is naturally mathematical.  A cook counts how many eggs; a cosmetologist talks about hair length, a farmer talks in geometrical language about how to plow the field.

Could we include hypothetical reasoning w/ mathematical?

That's probably not 100% on target, but I do think I'm on to something...
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