```Date: Apr 2, 2013 7:05 AM
Author: JT
Subject: Re: Is there any webpage or math program that can write fracitons,<br> numbers into bijective enumeration?

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 iswhat numbers and the partitioning of the naturals really is about, thenumberline is just a figment due to introduction of measuring, butnumbers at base 1, the collection created by counting do not havegeometric properties until you start partition the collection into abase.
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