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Eventual Applications for Theoretical Math?

For some time, it seems like pure math has been developing without science, as in the application of a lot of math in the "real world" has been trailing behind theoretical math. I know a lot of mathematics has eventually been applied to computer science, cryptography, the like. At the same time, so many things can't, like, as far as I can understand, the Banach-Tarski paradox? The question is, will all math inevitably be applied? Is there a limit to what can conceivably be used in the real world?

submitted by /u/ephemeral-thoughts
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