So are sets of cardinality \aleph_2 or sets of cardinality
\aleph_{\aleph_0}.On the other hand, one set of cardinality 2^\aleph_0 appears to be big enough to explain all of observed reality. Maybe Tegmarkism is going too far... On Wed, Mar 07, 2007 at 11:19:03AM +0330, Mohsen Ravanbakhsh wrote: > *All actual measurements yield rational values. Using real numbers in the > equations of physics is probably merely a convenience (since calculus is > easier than finite differences). There is no evidence that defining an > instantaneous state requires uncountable information.* > > What about the realizability of mathematical concepts. Real numbers are > mathematical, so they should have a counterpart in real world. What ever > that counterpart is, it's toils the problem of uncountability. > But I think your answer is the best shot. > > Mohsen Ravanbakhsh. > > > -- ---------------------------------------------------------------------------- A/Prof Russell Standish Phone 0425 253119 (mobile) Mathematics UNSW SYDNEY 2052 [EMAIL PROTECTED] Australia http://www.hpcoders.com.au ---------------------------------------------------------------------------- --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to [email protected] To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/everything-list?hl=en -~----------~----~----~----~------~----~------~--~---
