There's an extent to which elaborate, ornate, bespoke knowledge (the kind social scientists love) is more likely to be wrong. So simplistic thinking has its virtues. But to plug and chug is, fundamentally, to bracket away your thinking about everything you plug values into.
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equations can only tell you what should be, to find out what "is" you have to put it to use.
Logic and math for the most part aren't empirical though. The exception I know of is Computer/Operating Systems specific logic and math. And even that doesn't refute the abstract logic it just is a special case of it.
