On 20 mar, 10:46, 1treePetrifiedForestLane <Space...@hotmail.com> wrote: > what is the canonical digital representation > for base-one accounting? > > (inductive proof .-) > > > > > > > > > I don't think anyone is interested (I'm certainly not).
Accounting you mean counting? You ask me what counting is? It is a collection of discrete entities ranging from first to last member (inf is not member of any set). The first member in counting numbers in is generally one or 1, unless you do not adhere to some headless infinity working collective. Below you can see sets? of discrete natural items and the summation of members that make up a set of countable naturals, as you see they range from first to last since their countable and they are the reason numbers have comparable magnitudes, 1 is the base unit of math it does have a comparable magnitude, you can cut it to make fractions, count it to make sets with comparable magnitudes. The whole idea of numberline is wrong since 1 do not have any geometric properties/ attributes. It does have a magnitude though since it is divisible into fractions, the cuts from fractions also have magnitudes that comparable to 1. Partitioning into bases is a principle with geometric properties, but base one have no other projection than counting from the first to the last discrete member making up a natural number.