On Sun, Oct 25, 2015 at 3:12 AM, Pierz <[email protected]> wrote: ​> ​ > It's hard to see how physics can be self-consistent without the a priori > existence of arithmetic. >
​Two points:​ 1) It's not just hard it's impossible to see how arithmetic can PROVE the self- consistency of physics without the existence of arithmetic. 2) Truth and proof are not the same thing. It could be that physics is perfectly consistent but arithmetic can never prove that it is consistent; after all Godel showed us that true arithmetical statements exist that arithmetic can never prove. John K Clark -- 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 [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.
