This is precisely what I mean, and could provide a good introduction to your work. Describing shortcomings you find in mathematics gives a great lead in to what you are trying to fix and why. I cannot say whether other mathematicians will agree with this, but hopefully it will give them a better understanding of why your theory deserves their attention.This has been very helpful. I will do my best to consider all of your advice. I am very appreciative of this.
If there is a multiplicative inverse for zero....then you violate a field axiom...I understand this is addressed in meadows by adjusting the field axioms. I do not wish to dissolve any field axioms. The point of this is to show that division by zero is possible period...and is a valid mathematical construct...thus anything more than a field, rings/meadows/wheels.... is not even needed. That is why you would want this. Also it as stated it unifies mathematics and physics....which perhaps it is convoluted....time will tell.
It was once convoluted..and pointless to claim the world was round...now it is the exact opposite.
It unifies semantics...and mathematics...and philosophy...that alone is why...the division by zero a by product.
of course these are my opinions....it remains that I am grateful for you advice, help and time.
Thank you Slip
If I say...."I have zero money in my account"
What does this statement mean?
It does not mean I have no money...just non in my account.
It does not mean I can not write a check...just that it will bounce.
It does not mean I have no account...just no money...
so what does it mean....
mathematics needs space and value to describe all numbers...otherwise it fails...philosophically...semantically...and physically...to describe our reality.