Monkeymind comments on Configurations and Amplitude - Less Wrong
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In short, the hypothesis User:Monkeymind advanced (somewhere in that rambling mess) was that engineers do not base their technological work on math, but instead on trial-and-error. This is obviously an empirical question. Monkeymind offered as evidence that he himself has a bad grasp of mathematics and yet has built various devices using trial-and-error.
It's a potentially interesting idea. Do we have any real evidence that mathematics is a necessary component of the development of these devices? Anecdotally Norbert Wiener used mathematics to shoot down Japanese planes using radar.
Not that we have a really good alternative. Physical theories have been preferred for being more mathematically elegant ever since Newton, and before that we didn't really have physical theories. I think that Monkeymind's insistence that science is not for making predictions might be a hint that we're just talking about different things here.
A hypothesis that collapses into category-erroneous incoherence as soon as you realize that math can also be done via trial-and-error.