On 10/31/2025 2:40 PM, Russell Standish wrote:
On Fri, Oct 31, 2025 at 02:06:44PM -0700, Brent Meeker wrote:
So maybe we should conclude that it's not infinite or it's not algorithmic
because it includes true randomness. Either or both seem entirely plausible.
But then there is Bruno Marchal's point that first person
indeterminism as seen inside a universal dovetailer shows that an
algorithm can generate true randomness, as seen by conscious entities
generated by the algorithm.
So the proof of Goedel's theorem would not fail in the presence of "as
seen by" randomness that was actually algorithmic. But it would always
/seem/ to be false, i.e. it would empirically be false (which is the
only kind of false that matters).
Brent
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