On Sun, Feb 5, 2012 at 12:23 PM, Bruno Marchal <marc...@ulb.ac.be> wrote:

>
> On 05 Feb 2012, at 17:14, Craig Weinberg wrote:
>
>
>
>
> Talk with them, meaning internal dialogue?
>
>
> Public dialog. Like in Boolos 79 and Boolos 93. But the earlier form
>
> of the dialog is Gödel 1931.
>
> Solovay 1976 shows that the propositional part of the dialog, with the
>
> modal Bp, is formalized soundly and completely by G and G*. It is the
>
> embryo of the mathematics of incompleteness, including the directly
>
> accessible and the indirectly accessible parts, and the explanation of
>
> the why we feel it is the other way around, etc.
>
>
> When you talk with them, do they answer the same way to the same
> question every time?
>
>
> The conversation is made in Platonia, and is not entangled to our history,
> except for period where I implement it on some machines. Even in that case,
> they didn't dispose on short and long term memories, except for their
> intrinsic basic arithmetical experiences (which bifurcate up to you and me).
>
>
>
Bruno,

Would you say this is the source of all mathematical truth?  Interview /
study of platonic objects and machines?

Thanks,

Jason

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