[FOM] Falsify Platonism?

Arnold Neumaier Arnold.Neumaier at univie.ac.at
Sun Apr 25 15:37:26 EDT 2010

hendrik at topoi.pooq.com wrote:
> On Sat, Apr 24, 2010 at 12:15:53AM -0700, Monroe Eskew wrote:
>> Ah but you can get the Platonist (or Hilbert) to specify the logic
>> s/he is using.  I've never met a Platonist who does not accept
>> classical logic.  Such a thing would be quite curious!
>> Monroe
> I haven't met one, but I can *imagine* a philosophical Platonist being 
> convinced by the arguments of theoretical physicists and deciding that
> he needs to use a quantum logic, because that is physical reality.
> I can't imagine what mathematics he would come up with though.

No serious mathematics can be deduced from quantum logic.

The latter has no useful form of implication that would cooperate
with conjunction in a way that lets one build up a theory in the
usual stepwise fashion.

Arnold Neumaier

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