On Fri, Oct 11, 2013 at 04:09:20AM -0700, Pierz wrote: > > The former. Deutsch goes into the problem of infinite countable sets in > great detail and shows how this is *not* a problem for these uncountable > infinities (as Russell points out)), whereas it may be a problem for
Interesting. I wasn't aware that Deutsch had done that. I was aware of his critiques of measuring countable sets (such as in the infinity hotel chapter of BoI), but not that he showed there was no such problems with uncountable sets. Do you have a reference? Of course, I take the position that "it will be alright on the night", and give a plausible account of it in my solution of the White Rabbit problem in my paper "Why Occams razor", but that has been criticised, particularly by Bruno, that the measure issue is not so simple. I don't feel confident enough in the maths of measure theory to say that it isn't a problem, just that I can't see a problem in using Solomonoff's measure. Hence my interest in Deutsch's take. Cheers -- ---------------------------------------------------------------------------- Prof Russell Standish Phone 0425 253119 (mobile) Principal, High Performance Coders Visiting Professor of Mathematics hpco...@hpcoders.com.au University of New South Wales http://www.hpcoders.com.au ---------------------------------------------------------------------------- -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to everything-list+unsubscr...@googlegroups.com. To post to this group, send email to everything-list@googlegroups.com. Visit this group at http://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/groups/opt_out.
