On 13 mar, 19:53, fom <fomJ...@nyms.net> wrote: > On 3/13/2013 9:26 AM, JT wrote: > > > The naturals are discrete your conception of numbers is fault > > Finite fields are arithmetical systems. Do they fail > to be "numbers" because they do not form an infinite > collection? > > Number systems are recognized as such because they > are systems with definable arithmetical relations. > > The elements of number systems are their "numbers".
And there is no set with a sum that form 0 nor a set forming inf, a set is a collection of members, if there is no members there is no set. The empty set is no collection, and it have no members. A set need atleast one member.