The nature of number

[jonb]

OK Let’s play. To do this I used geometry.(I am trained as an artist so if my terminology is wrong see if you can get round it and you may have to help me out).

Take a simple sum and turn that into a geometric form

1+1=2 lets express this geometrically
We have a line of an unknown length at one end a number at the other a result and between these points a place at which changes one to the other



This is the basic format of the equation


For the sake of clarity let’s name these three parts. The origin/‘O’, the function/’F’, and the result/’R’.



Ok lets play with this can we now do anything with it?
Well I have found you are not restricted to just comparing one number at a time, you can compare a series of numbers to a second series.





So to draw this up we only need the outer parameters of the two series and a function point



You will notice that the direction of the resultant series is in the opposite direction to the original series.



Any two series with a common factor or point of comparison can be matched.


For every position in the origin has a corresponding position in the result. No matter where the line going through the function is in the origin it also connects with a corresponding place in the result. So can we can draw the conclusion from that every series with a common function contains an equality of positions?



Is this actually is a problem? Pi is an irrational number yet it comes directly out of the series. We may not be able to place it exactly in the line of fractions or decimals, because it has no exact decimal or fractional position, but if we have a minimal maximal range where it could sit in the origin then that directly translates to the same area in the resultant series.



Actually it seems we only need to place three positions and their values, in the series and we automatically know where all the other positions in the coherent series are, and what their values are. It does not matter which method of counting numbers we use. It seems once you have sufficient parts, the series will generate all the rest.
Given this the supposition could be there is a single template for all series. Is this then is a problem for it seems to be in direct opposition to the conclusions academic mathematicians have drawn?

I would like to know what you think