In article <email@example.com>, JT <firstname.lastname@example.org> wrote:
> On 4 Feb, 11:02, Frederick Williams <freddywilli...@btinternet.com> > wrote: > > JT wrote: > > > > > Building new natural numbers without zero using NyaN, in any base, > > > [...] > > > > You seem to confuse numbers and digits. Both of these are true: > > There is a number zero. > > Numbers can be symbolized without the digit zero. > > > > -- > > When a true genius appears in the world, you may know him by > > this sign, that the dunces are all in confederacy against him. > > Jonathan Swift: Thoughts on Various Subjects, Moral and Diverting > > No there is no zero in my list of naturals, in my list is each natural > number a discrete ***items***, ***entity*** with a magnitude.
Zero is a perfectly good "magnitude", and in ever more set theories, zero is a perfectly good natural number.
So how can you have an arithmetic of natural numbers which does not allow a numeral representing the first of them?? --