[FOM] From theorems of infinity to axioms of infinity
Nik Weaver
nweaver at math.wustl.edu
Sat Mar 23 01:04:14 EDT 2013
Monroe Eskew wrote:
> You'll have to explain why your use of "small" and "marginal" is
> objective.
I don't think I have to do this.
> Was George Elliot's classification program for C^* algebras marginal?
> Results, including anti-classification results, were found by
> descriptive set theorists.
Are you talking about the Farah-Toms-Tornquist paper? Well, the
problem with this example is that all the set theory involved there
is predicative.
It's not as if I'm claiming that any theorem ever proven by a set
theorist is inherently bad. We're debating the relevance of the
power set axiom to ordinary mathematics. So this example doesn't
help you.
Nik
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