On 18 Sep 2016, at 23:54, smitra wrote:
https://www.youtube.com/watch?v=nK6XawDE8_U
I was hoping seeing Nelson's more or less recent proof of the
inconsistency of Peano Arithmetic, which was enough convincing to
require some good logician to find out the precise error, that Nelson
immediately acknowledges.
Now, this was different and not entirely uninteresting but it is just
obvious that by assuming there is a physical universe, and that it is
finite, and by defining some notion of physical numbers, you can show
that the axioms of Peano will not work for those physical numbers.
It is just that what PA, and Euclid, Pythagorus, Gauss, Fermat,
Dedekind, Peano, etc. talk about is something which has nothing to do
a priori with the sort of numbers this physicalist believer
(apparently) is talking about. Of course, with computationalism they
become related: the "physical numbers" would belong to partially
sharable 3-p-computations/1-p dreams of the natural numbers.
But I guess this was a bit of a joke, lol.
Bruno
Saibal
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