On 17 Aug, 20:49, Jesse Mazer <laserma...@hotmail.com> wrote:
> Peter Jones wrote:
>
> > On 17 Aug, 11:17, Bruno Marchal <marc...@ulb.ac.be> wrote:
> > > On 17 Aug 2009, at 11:11, 1Z wrote:
>
> > > > Without Platonism, there is no UD since it is not observable within
> > > > physical space. So the UDA is based on Plat., not the other way
> > > > round.
>
> > > Are you saying that without platonism, the square root of 2 does not
> > > exist?
>
> > Yes, the square root of two has no ontological existence.
>
> > > Prime number does not exist?
>
> > Yes, prime numbers have no ontological existence
>
> What do you mean by "ontological existence"?

Real in the Sense that I am Real.

>The modern perspective among analytic philosophers is to tie ontology to the 
>notion of objective truth--if we imagine a book containing an exhaustive set 
>of *all* objective truths about reality, then the minimal set of entities that 
>we would need to refer to in such a book, in such a way that we could not 
>remove all reference to them by coming up with a "paraphrase" of all 
>statements involving them, would be the ones that must be part of our ontology.

That acount ties ontology to objective truth AND reality. We anti-
Platonists think
the truths of mathematics are objective but without any necessary
connection to reality.

>This idea goes back to Quine, it's discussed 
>athttp://philosophy.uwaterloo.ca/MindDict/ontology.htmland there's also a 
>discussion in the introduction to the book "The Oxford Handbook of 
>Metaphysics", which says:
> "Quine's criterion of ontological commitment is understood to be something 
> like this: If one affirms a statement using a name or other singular term, or 
> an initial phrase of 'existential quantification', like 'There are some 
> so-and-sos', then one must either (1) admit that one is committed to the 
> existence of things answering to the singular term or satisfying the 
> description, or (2) provide a 'paraphrase' of the statement that eschews 
> singular terms and quantifications over so-and-sos.

We anti-Platonists do the latter.

>So interpreted, Quine's criterion can be seen as a logical development of the 
>methods of Russell and Moore, who assumed that one must accept the existence 
>of entities corresponding to the singular terms used in statements one 
>accepts, unless and until one finds systematic methods of paraphrase that 
>eliminate these terms. .... Most philosophers today who identify themselves as 
>metaphysicians are in basic agreement with the Quinean approach to systematic 
>metaphysics"
> The "paraphrase" condition means, for example, that instead of adopting a 
> statement like "unicorns have one horn" as a true statement about reality and 
> thus being forced to accept the existence of unicorns, you could instead 
> paraphrase this in terms of what images and concepts are in people's mind 
> when they use the word "unicorn"; and if you're an eliminative materialist 
> who wants to avoid accepting mental images and concepts as a basic element of 
> your ontology, it might seem plausible that you could *in principle* 
> paraphrase all statements about human concepts using statements about 
> physical processes in human brains, although we may lack the understanding to 
> do that now.
> As the quote says, most philosophers (analytic philosophers anyway) adopt 
> this point of view when dealing with metaphysical questions. For instance, if 
> you believe there are objective truths about mathematics which cannot be 
> reduced to statements about the physical world using an appropriate 
> "paraphrase", then in Quine's scheme you'd have committed yourself to some 
> form of mathematical platonism. Likewise, if you believe there is an 
> objective truth about what it is like for a human to experience the color 
> blue which could not be deduced from an exhaustive set of facts about their 
> physical brain, as suggested by the "Mary's room" thought-experiment 
> (seehttp://en.wikipedia.org/wiki/Mary's_room), then you've committed yourself 
> to an ontology where qualia have some sort of nonmaterial existence (even if 
> they are entirely determined by the physical arrangements of matter and the 
> physical world is 'causally closed', as proposed by David Chalmers).

Yep. I have no problem with any of that
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