Silly thought continued

Please read Silly thought by a non mathematician first. I'm totally prepared for a mathematician to tell me that this is complete rubbish!

If we continue to the right beyond the H-point (our equivalent of a decimal point) each column will represent values of H^-1, H^-2 and so on. The first thing that becomes obvious is that this can only represent infinitesimals (and smaller!!!). There is no way to represent even the smallest real value. We can see this because to move from the first column to the left of the H-point we would have to multiply by a multiple of H, and we only have a countable infinite number of symbols! Another way to look at it is that to represent 0.5 you would have to have a symbol representing half of infinity, which of course is not possible. The same can be said for each column to the right, each representing a different order of infantesimal. So we have a pretty strange number system.

- Each column to the left of the H-point represents an increasing order of infinity.
- Each column to the right of the H-point represents an increasing*(or is that decreasing‽)* order of infantesimal.
- It is only possible to represent integer values of each order of infinity, plus what to that order are infantesimal, not fractions or reals within the same order.

A quite interesting but probably completely useless number representation!

#maths #math #mathematics #hyperreal #hyperinteger #infinity #ToInfinityAndBeyond