On 10/26/2019 5:05 PM, Russell Standish wrote:
On Sat, Oct 26, 2019 at 12:50:10PM -0700, 'Brent Meeker' via Everything List
wrote:
I'm glad you recognize there's a difference between "potential" and "real";
a distinction this list is founded to obfuscate.
Brent
I don't know about that. The everything is "all finite things" is a
perfectly rational starting point for an ensemble theory.
Even though Max's original "all mathematical objects" theory is
ambivalent on the point, I've always interpreted that as "all finite
axiomatic systems", even in my first paper on the subject: "Why Occams
Razor".
Peano arithmetic is not a finite axiomatic system. It has infinitely
many axioms of the form (s...(s(s(s)))...).
So I'm not sure what your refer to. I doubt that "all finite things"
is well defined. Is the set of all finite things finite?
Brent
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