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'm subjecting math to the constraints of what can be completely scrutinized. I am also extremely sceptical of arguments that push their key arguments beyond what is observable as a human. Especially because I think many nice things have been neglected in light of our bias.
but again it seems like there’s a fundamental assumption that mathematics or pure reason has to necessarily pertain to that which is physically instantiated
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It is an assumption, you're right. But I want my mathematics to be epistomologically stronger then the formalist position suggests, and I'm willing to do the work to substantiate that.
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Your position is more subtle than most finitists.. do you not think then that mathematics and observation could ever be disentangled?
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