Number Divided By Zero

Let n = any number

Why is n/0 undefined?

I know that it is impossible to divide something from nothing.

Explain.

 

In general, a single value can't be assigned to a fraction where the denominator is 0 so the value remains undefined.

 

Do you think some genius will discover in the future that division by 0 is possible?

 

might be possible

 

You are right.

You forgot to reply to Questions Part 4 in your inbox here. I also want to change the way you and I go through the precalculus textbooks. Expect a new PM in just a few minutes.

 

I am not a genius. Yet I have provided a solution for division by zero. See the thread "The Unified Number". I was able to do so because I am a philosopher not a mathematician. The "theory" begins with philosophical axioms.

Numerus Numerans = absract numbers
Numerus Numeratus = concrete numbers

Numbers are defined as "numerical quantities". Yet if we add to that definition "dimensional quantities" or "units" in regards to absract numbers (concrete numbers already have "units"). We can have...

Numerus "Numerans Numeratus" = The Unified Number

 

If n/m= a then n= am
If n/0= a then n= a*0= 0

So if n is not 0 n/0 is not ANY number.
We say that n/0, for n non-zero, is "undefined".

0/0 is a little different.
If 0/0= a then 0= a*0
But that is true every a.
We say that 0/0 is "undetermined".

 

a=/=0

If I have (a) of anything, number or otherwise.

I multiple (a) by (0)...

a*0 = 0

Why does (a) disappear?

The multiplicative identity property of zero?

Properties are changed all the time in mathematics....see "wheels" and "meadows"....

So why not this property....I have NEVER seen anything disappear. I might not know where it went. Or have seen it leave. But it did not disappear.

 

The "distributive law": For any numbers, a, b, and c, a(b+ c)= ab+ ac.
Since "0" is the additive identity, x+ 0= x.
Taking c=0, ab= a(b+ 0)= ab+ a(0)
Subtracting ab from both sides 0= a(0).

 

I have shown specifically (with definitions), how the additive identity can be kept. As well as the distributive field axiom. I have shown how all field axioms remain unchanged. It is only a matter of changing the "properties" of numbers. Allow all numbers to be composed of numerical quantities, and dimensional unit quantities. You have but to give me the chance. For example...see the section "Distributive" in the thread "The Unified Number".

I would copy and paste, but "notation" is lost in translation. "Copy and paste" will not translate "underscores". Which is essential notation for the concept.

I appreciate your time, and intelligence. Especially knowing that I exasperate you.