JT 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. > > No there is no zero in my list of naturals, in my list is each natural > number a discrete ***items***, ***entity*** with a magnitude.
Fairy snuff. It used to be common to define the natural numbers as these: 1, 2, 3, ... Now 0, 1, 2, 3, ... is more common. If you prefer the older definition I doubt that people will mind.
Zero is quite useful even if you don't want to call it a natural number. For example, one may have no money in one's bank account. How many pennies (cents, etc) is that? 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