I had better watch myself and be more careful in explaining the AP Coordinate System. I said that a point has two sides, one side a positive and the other the negative. But I lose function if I define it that way, since a function can only have one y value for a given x value. If the same point has a positive and negative value, for example the point 3.1 would have +3.1 and -3.1 simultaneously and thus no unique y value for a given x value. So I have to be careful there.
The way I defined it some years back, was that I said the point 3.1 was itself the point and the -3.1 rested behind +3.1, but both are distinct points. I could do this and get away with it because in AP- Reals there is the infinity number 10^603 and so every number has a empty space of 10^-603 from its predecessor and successor. So that there are holes of 10^-603 between every positive number, and I would fill or insert a negative number in between two successive positive numbers.
So in AP-Reals the first number starting with 0 is 0 and the second number is 1*10^-603 and the next number is 2*10^-603 and the next is 3*10^-603. So in AP Coordinate system I fill each hole with the negative number as such:
0, -1*10^-603, 1*10^-603, -2*10^-603, 2*10^-603, onwards to 10^603
So now, I cannot be accused of losing function.
The aim of the AP system is to make negative numbers reside next to their positive number counterparts, so that -4.5 is nearby to +4.5 rather than herding all the negatives and throwing them into a realm far removed from positive numbers. I want to make the Coordinate System in much the same way that protons and electrons make up the Universe, in that they are nearby together so that the Universe is vastly of 0 charge. Our Universe is not where all the electron lie opposite all the protons and both separated. Our Universe is where positive and negative lie close together and thus mathematics coordinate system should mirror that aspect for a different coordinate system than the Cartesian.
Now I am not throwing out the Cartesian, but only emphasizing that a viable alternative coordinate system exists.
Google's archives are top-heavy in hate-spew from search-engine- bombing. Only Drexel's Math Forum has done a excellent, simple and fair archiving of AP posts for the past 15 years as seen here: