On 7/17/2015 5:05 PM, Obrst, Leo J. wrote:
> Glad to see Turing was a nascent poet. (01)
Andrew Hodges, the author of that article about Turing, is
a mathematical physicist. Among the issues he addresses are
Turing's comments about computability over the integers and
the real numbers. Those questions are significant for any
computational ontology about space-time and the universe. (02)
Hodges notes that Turing was (and still is) ahead of his time
in thinking about those problems. That poem hints at them. (03)
Hodges' also cites a web site about the *amplituhedron* :
https://www.quantamagazine.org/20130917-a-jewel-at-the-heart-of-quantum-physics/ (04)
Implications for formal ontology:
> Physicists have discovered a jewel-like geometric object that
> dramatically simplifies calculations of particle interactions
> and challenges the notion that space and time are fundamental
> components of reality.
>
> “This is completely new and very much simpler than anything
> that has been done before,” said Andrew Hodges, a mathematical
> physicist at Oxford University who has been following the work.
>
> “The degree of efficiency is mind-boggling,” said Jacob Bourjaily,
> a theoretical physicist at Harvard University. “You can easily do,
> on paper, computations that were infeasible even with a computer.” (05)
This is just one of many, many reasons why I'm highly skeptical
about any proposals for a universal foundation ontology. A new
discovery can pop up at any time that completely revolutionizes
and *obsoletes* any supposedly "ideal" foundation. (06)
John (07)
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