Tying the way I think to how physical systems work is the most important outcome of an education and early career in engineering. I may be biased, but an engineering mindset will take you much farther in any other field than if you pursued it directly, imo, because the way you think is grounded in physical reality.

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yeah the engineering mindset of logic and measured results is the greatest training. some get it by studying logic and philosophy or a biological science but it is lost in most degrees that just teach a set of rules and don't ask why the rules exist