Hmmm... I "somewhat" agree with your premise on the mathematical system being "skewed", however (in my experiences) I find it not to be "wrong",
but simply "flawed".. and this flaw creeps up whenever one chooses to represent "0" and or "infinity"..
In my case, I have (however) found a way to Quantify Infinity (QI) that is to say "make it do work" , and a byproduct of this process. lead to the
development of a means to add, subtract, multiply, and divide zero itself, without any further issues cropping up with the flaw that is inherent
within the realm of linear mathematical operatives, and operations..
You can currently divide zero within the realm of a CPU, however the results is an infinite loop, this result is so abhorrent to the way the processor
operates, that it even has hardwired programming to prevent this state form happening..
The flaw itself with zero, shows up when you simply try to do the following basic operative "operation" -1 - +1 ..
Of course one should already see that it equals "zero", however the hardwired features prevent it from happening (which would result in the computer
simply shutting down).. in reality, this flaw is so apparent within any type of math processor, co-processor, and even in the simplistic calculator,
that it has been "severely" overlooked.. you see. the value will not be zero, but actually be -2 or +2 depending on the "lead" numerical number
itself..
No.. I believe you are on the right track, however it is not (in my humble opinion) a situation of mathematics being "wrong" per'se, just being
slightly "flawed" in execution and (more importantly) in rule structuralism..
To myself, it is a matter of not enough of a refined set of rules, to correct for the flaws themselves (well to be honest, that was the case until I
designed a means to quantify infinity that is)..
Here is the basic formula, broken down to add, subtract, and divide, leveraging the flaw in the mathematical operatives of the cpu (which will give
you the means to add, subtract, multiply, and divide for zero, while leaving zeros "Nature" remaining intact, as well as being able to leverage QI
itself)..
And here is the original size..
i.imgur.com...
As I said.. I do agree, but also "disagree" as to the root cause of it's issues..
Glad to see someone else beginning to deal with Infinity, and zero (long overdue in my opinion)
James..