Re: Platonism vs Realism WAS: ROADMAP (well, not yet really...

From: 1Z <peterdjones.domain.name.hidden>
Date: Sat, 19 Aug 2006 13:36:30 -0000

Stathis Papaioannou wrote:
> Günther writes:
>
> > Well, let's see: in Alice in Wonderland, Humpty Dumpty fell off a
> > wall. This is true, isn't it? It is certainly true independent
> > of our minds. Indeed, it is true in such a way that even when
> > all humans have died, this universe will have a contained a life-form
> > which produced an author who wrote a book in which Humpty Dumpty
> > fell off a wall. But neither Humpty Dumpty nor the fact that he
> > fell off a wall were ever true in this universe - only that this
> > story was written, and that many people read about it and could
> > converse about it.
> >
> > So if you believe that numbers have an independent existence, then you
> > would definitely also have to believe that Humpty Dumpty exists.
> > Both are products of the mind. Either both exist, or both don't
> > (other than as brain patterns).
> >
> > As much as I would like Humpty Dumpty to exist, I'm afraid that
> > it is not so.
>
> The existence of numbers is not like the existence of objects, and I don't
> think that most mathematical Platonists would say that it is.

Most Platonists ar not Mathematical Monists. M-Monists *do*
have to think it is the same.


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Received on Sat Aug 19 2006 - 09:38:32 PDT

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