Hi,
Le vendredi 18 août 2006 11:52, 1Z a écrit :
> Stathis Papaioannou wrote:
> > Peter Jones writes (quoting Bruno Marchal):
> > > > Frankly I don't think so. Set platonism can be considered as a bold
> > > > assumption, but number platonism, as I said you need a sophisticated
> > > > form of finitism to doubt it. I recall it is just the belief that the
> > > > propositions of elementary arithmetic are independent of you.
> > >
> > > Arithemtical Platonism is the belief that mathematical
> > > structures *exist* independently of you,
> > > not just that they are true independently of you.
> >
> > What's the difference?
>
> Things that exist are available for causal interaction. Numbers aren't.
You were defining arithmetical platonism.... and now you define existing. Your
two comments are contradictory. Because following your description of
existing, mathematical structure are not available for causal interaction
(like numbers... )
If you think you're not contradicting yourself, could you explain more in
detail what you mean.
Regards,
Quentin Anciaux
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Received on Fri Aug 18 2006 - 06:14:34 PDT