On Sat, Dec 29, 2018 at 09:02:26AM -0800, Brent Meeker wrote: > > > On 12/29/2018 1:58 AM, Bruno Marchal wrote: > > I use number because people are more familiar with them. Most people can > > easily conceived that “17 is odd” is true independently of them, but > > would have an harder time to conceive that KKK=K independent of them, > > even if this does not mean much more than the first (left) projection of > > (K, K) is K. > > That's a good example. People would immediately recognize that KKK=K is > just a convention. They are deceived that "17 is odd" is an eternal truth > independent of human thought because they generalize from their experience > with physically countable things. > > Brent
This would be a dry argument if instead we simply insisted that all that is fundamental is a universal machine and all its computations. That immediately bootstraps the Robinson integers IIUC. So in a way - integer arithmetic is a convention, our convention if you like, for looking at computations. -- ---------------------------------------------------------------------------- Dr Russell Standish Phone 0425 253119 (mobile) Principal, High Performance Coders Visiting Senior Research Fellow hpco...@hpcoders.com.au Economics, Kingston University 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 https://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.
