On Wed, Sep 21, 2011 at 1:51 PM, meekerdb <meeke...@verizon.net> wrote:
> On 9/21/2011 9:20 AM, Jason Resch wrote:
>> The Mandelbrot set has a definition which we can use to explore it's
>> properties. Would you say the set was non-existent before Mandelbrot found
>> it? If we have to define something for it to exist, then what was this
>> universe before there were conscious beings in it?
> "To exist" just means to occur in the ontology of some model. We have a
> model of enumeration, which we call "the integers" and a model of combining
> them, which we call "arithmetic". In this model prime numbers "exist"
> because they satisfy the rules for the ontology. But this kind of "exist"
> is quite different from the way my chair "exists"
Until you find that the mathematical object which exists in some model
happens to be the universe containing you and your chair.
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