On Thursday, 6 March 2014 19:14:50 UTC+2, Dan Christensen wrote: > George Greene summed it up brilliantly at the sci.logic group yesterday: > > > > "The natural numbers exist PRIOR to the mathematics. The mathematics is what you get AFTER you take the natural numbers AS GIVEN. Every mathematical attempt to'explain' the natural numbers just gets hopelessly circular or inadequate."
That is absolute rot. The axioms I showed you are not circular. You don't get to decide what's acceptable or not. :-)