I think the main thing that mathematical finitists get wrong is that numbers “actually” exist—let alone ought to be a certain way.
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I’d like to clarify the statement about Platonism. What I’m saying is that finitists subscribe, at least loosely, to the notion that numbers have an existence beyond that of definition.
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I presume you’re not a fan of Max Tegmark’s Mathematical Universe Hypothesis (MUH)
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The only subject harder than math is philosophy of math.
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