[FOM] An argument for V = L
Colin McLarty
colin.mclarty at case.edu
Tue Sep 2 08:10:41 EDT 2014
> Writing about his view that V=L might be more attractive in most
> mathematics than its negation, On Fri, Aug 29, 2014 at 6:04 PM, Harvey
> Friedman <hmflogic at gmail.com> concluded:
>
> > Of course, there is a monkey wrench in all this, particularly if the
> following Thesis is verified - and we are not quite there yet.
> >
> > THESIS. Corresponding to every interesting level in the interpretation
> hierarchy referred to above, there is a Pi01 sentence of clear mathematical
> interest and simplicity. I.e., which is demonstrably equivalent to the
> consistency of formal systems corresponding to that level, with the
> equivalence proved in EFA (or even less). There are corresponding
> formulations in terms of interpretations and conservative extensions.
> >
> > Then what?
>
>
> Why is this a "monkey wrench"? Why is it not just a reason to continue
> pursuing low complexity sentences of clear mathematical interest equivalent
> to consistency of various formal systems?
>
best, Colin
> Harvey Friedman
>
>
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