Combinations and Permutations Episode 46: What Would Georg Do?
Samuel Hansen demands that Cody Palmer, Juan Mariscal, and Nathan Rowe talk about the least appreciated and most disparaged mathematician in recent history: Georg Cantor.
Links to this episode’s topic:
Georg Cantor
Set Theory
Baconism
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Why so dismissive of constructivism, finitism, and institutionalism? The former two aren’t necessarily uninteresting as systems of mathematics for investigation (you praised Cantor for being unafraid to carry through to the consequences of such a system). The latter is difficult to dismiss from a philosophy of mathematics standpoint: the alternative is mathematical Platonism, which I think makes most mathies uncomfortable when we’re called out on it.