Re: Fw: Something for Platonists

Lennart Nilsson wrote: But in fact, the only thing that privileges the set of all computational operations that we see in nature, is that they are instantiated by the laws of physics. It is only through our knowledge of the physical world that we know of the di.erence between computable

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Re: Fw: Something for Platonists]

At 10:46 16/06/03 -0700, Hal Finney wrote: Jesse Mazer writes: Yes, a Platonist can feel as certain of the statement the axioms of Peano arithmetic will never lead to a contradiction as he is of 1+1=2, based on the model he has of what the axioms mean in terms of arithmetic. It's hard to see

Reality of i (was Something for Platonists)

Hi James, I don't want to get into the Platonism discussion as I'm not of a philosophical bent, but I would like to start discussion based on something you wrote in one of your posts on the subject: James N Rose wrote: The square root of a negative number has no physical reality (or so it

Re: Something for Platonists (and the platonic)

But in fact, the only thing that privileges the set of all computational operations that we see in nature, is that they are instantiated by the laws of physics. It is only through our knowledge of the physical world that we know of the di.erence between computable and not computable. So it's only