Lots of stuff in the world works this way. Our understanding of the causal relationships that make up reality has massive holes in it that we fill with mere correlation. Correlations are easier to discover than causes, and while correlation is (famously) not causation, causes and effects *are* correlated, and if you can evince the effect you're seeking without understanding precisely what happened to make that effect appear, well, at least you got the effect you were seeking.
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Theory-free inference is a very pragmatic way to approach the world: "I don't need it good, I need it *Thursday*." Scientists burn to know why a molecule stopped you from dying, but you are likely satisfied to not be dead. What's more, our ability to observe correlations will always race ahead of our understanding of causality, so the power of theory-free inferences pushes out the frontier of things we can act on, beyond the realm of the understood.
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