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I think mechanical / electronic intuition are important, and they come from tinkering (especially at younger ages).

Sure, being able to do math and detailed analysis are important. But having a good guess on step 1 is important, too, to narrow the search of huge design spaces.

I think we've all experienced different kinds of engineers. The one you trust to do a month-long trade study with deep mathematical reasoning is usually not the one you trust to just know a plausible path forward. And we need both.

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