[FOM] "Mathematician in the street" on AC
Bob Clark
rc514 at york.ac.uk
Tue Aug 18 04:45:08 EDT 2009
Timothy Y. Chow wrote:
...
>
> When doing math, as opposed to when they have their guard up in a
> conversation that is perceived to be philosophical,
...
I wonder how this distinction between truth when doing maths and when
philosophising about maths relates to Carnap's internal/external
distinction (eg in 'Empiricism, semantics and ontology'), and/or to
Wittgenstein's 'two kinds of responsibility' maths has (eg LFM xxv) that
give us, according to him, a view of 'the reality to which mathematics,
in a sense, does correspond'.
Does anyone but me think there's still philosophical mileage in these
dichotomies? I know John Burgess used a tentative version of the Carnap
one to attack mathematical fictionalism a couple of years ago, and I
know George Boolos described the internal/external thing as 'rubbish'.
Anything else?
Bob
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