Re:The Axiom of Choice Is Wrong (2007)
by Jweb_Guru on Monday February 06, 2017 @11:27PM
(#13587014)
> What is the meaning of "compactness"? A proper comparison of theoretical parsimony requires comparing the Kolmogorov complexity. Compressing ontologies positing reals and/or rationals are definitely less parsimonious than ontologies positing only naturals.
As far as I can tell, by this argument there is literally nothing that would convince you that anything but a discrete theory was correct. So I don't think it's a very interesting argument, sorry. But thank you for explaining your viewpoint.
Re:The Axiom of Choice Is Wrong (2007)
by naasking on Wednesday February 08, 2017 @12:23PM
(#13600066)
I've presented my argument why I don't think it's possible for a continuous ontology to be simpler than a discrete ontology, but if you think that's incorrect, then let's hear it.
As far as I can tell, by this argument there is literally nothing that would convince you that anything but a discrete theory was correct. So I don't think it's a very interesting argument, sorry. But thank you for explaining your viewpoint.