JT
Posts:
1,434
Registered:
4/7/12


Re: Is there any webpage or math program that can write fracitons, numbers into bijective enumeration?
Posted:
Apr 2, 2013 7:05 AM


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 cameabout, 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.

