```Date: Apr 2, 2013 7:10 AM
Author: JT
Subject: Re: Is there any webpage or math program that can write fracitons,<br> numbers into bijective enumeration?

On 2 Apr, 13:05, JT <jonas.thornv...@gmail.com> wrote:> On 2 Apr, 12:59, JT <jonas.thornv...@gmail.com> wrote:>>>>>>>>>> > On 31 mar, 23:11, 1treePetrifiedForestLane <Space...@hotmail.com>> > wrote:>> > > just pick a number, like "five,"> > > and represent it in each of the bases, from -ten, down to> > > the last possible "natural" digital representation,> > > to see how it came-about, in the first place.>> > Bases of the naturals is due to partitioning of discrete entities, as> > collections or sets if you so want, as you can understand the number> > of embrasing parentheses signifies grouping and digit position it is> > all very *basic*.>> > Counting    5={1,1,1,1,1}> > Binary      5={{1,1}{1,1}1}> > Ternary     5={{1,1,1}1,1}> > Quaternary  5={{1,1,1,1}1}> > Senary      5={1,1,1,1,1}> > Septenary   5={1,1,1,1,1}> > Octal       5={1,1,1,1,1}> > Nonary      5={1,1,1,1,1}> > Decimal     5={1,1,1,1,1}>> As you can see each digit position contain groups of the base. This is> what numbers and the partitioning of the naturals really is about, the> numberline is just a figment due to introduction of measuring, but> numbers at base 1, the collection created by counting do not have> geometric properties until you start partition the collection into a> base.A number as expressed using a base is a geometric perspective upon acollecton of discrete entities. So depending upon if you use azeroless or a standard base the geometric properties change of thecollection. This is closely related to factoring.
```