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Vladimir_Nesov comments on Welcome to Less Wrong! - Less Wrong
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Unfortunately, observations don't have epistemic power, so we'd have to live with all possible concepts. Besides, it's quite likely that reality doesn't in fact contain any infinities, in which case it's not possible to show you an infinity, and you are just demanding particular proof. :-)
Wait... he's already saying he believes reality doesn't contain any infinities...
And you say that you can't show proof to the contrary because it's likely reality doesn't contain any infinities...
I don't think I followed you there.
I distinguish between "believing in X" and "believing reality contains X". I grew to dislike the non-mathematical concept of reality lately. Decision theory shouldn't depend on that.
My disbelief in infinities extends only to reality; I make no claims about the question of their existence elsewhere.