Zero divided by Zero =

[Iwannaplato]

You may not know that he was also a talented musician. In the 1920s and 30s he would often be found performing in some Bavarian tavern or other, with his life long friend, Otto Schleiman, Together they formed the very popular folk duo of Schleiman and Schlechtfunkel. They were best known for their rendition of Brücke über die unruhige Donau.

Cool. Unfortunately I never listen to music. As they say in Bavaria
Ich interessiere mich mehr für die Klänge der Stille.
or, as mathematicians say...
0 ÷ 0

[Harbal]

You may not know that he was also a talented musician. In the 1920s and 30s he would often be found performing in some Bavarian tavern or other, with his life long friend, Otto Schleiman, Together they formed the very popular folk duo of Schleiman and Schlechtfunkel. They were best known for their rendition of Brücke über die unruhige Donau.

Cool. Unfortunately I never listen to music. As they say in Bavaria
Ich interessiere mich mehr für die Klänge der Stille.
or, as mathematicians say...
0 ÷ 0

Brought nicely back on topic.

[Impenitent]

https://www.youtube.com/watch?v=rirXwTPFeV8

downright heroic

-Imp

[Dontaskme]

0 - 0 = 123456789

[Dontaskme]

[Dontaskme]

[Dontaskme]

“It is the silence between the notes that makes the music; it is the space between the bars that cages the tiger.”


'It is the space between the notes that makes the music. Without that emptiness, that silence in between, there is no music, only a noise.'

Music was my first love
And it will be my last
Music of the future
And music of the past
To live without my music
Would be impossible to do
In this world of troubles
My music pulls me through

[nemos]

0 ÷ 0 = ∞ ÷ ∞

X*0=0, X/0=∞ => 0/0=0*∞

And to translate, I'll say something banal:
For a scalar equation 0/0, the result is indeterminate, and all of the above applies. But ...
If one considers functions where f(x) and g(x) tend to zero if x tends to some value, then the relation 0/0 can be perfectly meaningful.
e.g. f(x)=1/x , g(x)=2/x ; f and g tend to zero if x tends to infinity. And it follows that
0/0 = f/g(x->∞) = (1/x) / (2/x) = 0.5 or
0/0 = g/f(x->∞) = (2/x) / (1/x) = 2

Well, isn't that cool ?

[Iwannaplato]

0 ÷ 0 = ∞ ÷ ∞

X*0=0, X/0=∞ => 0/0=0*∞

And to translate, I'll say something banal:
For a scalar equation 0/0, the result is indeterminate, and all of the above applies. But ...
If one considers functions where f(x) and g(x) tend to zero if x tends to some value, then the relation 0/0 can be perfectly meaningful.
e.g. f(x)=1/x , g(x)=2/x ; f and g tend to zero if x tends to infinity. And it follows that
0/0 = f/g(x->∞) = (1/x) / (2/x) = 0.5 or
0/0 = g/f(x->∞) = (2/x) / (1/x) = 2

Well, isn't that cool ?

Probably, but over my head.

[mickthinks]

Division is just reverse multiplication. So for example, 6 divided by 2 is whatever it is that, when multiplied by 2, gives 6. This generalises to: A divided by B is C where C multiplied by B = A.

Thus if A and B are both zero, C is whatever when multiplied by zero gives zero. So C is anything and everything. That's what mathematicians mean when they say that the value of zero divided by zero is undefined.

[Sculptor]

Any answers?

ONE, Infinite, or None
How many zeros in zero?
Zero goes into zero, how many times?

[alan1000]

How dare you question my existence? Only last Saturday, 30 or 40 witnesses saw me playing the banjo at my local pub. Now, if you will excuse me, I must go and practice my cello scales.

- Albertus Magnus Schechtflunkel (not to be confused with "Schlechtfunkel')

[Gary Childress]

Mathematicians seem to have an unfair advantage in this conversation. It seems like they get to frame the debate. What if we don't want to agree with them? Then what do we do?

[Dontaskme]

Zero divided by Zero = 8 with a twist = 0 = Infinity

Infinity is this immediate boundless, timeless, unmoving NOW in which ALL/EVERY possibility exists forever.

[Dontaskme]

Mathematicians seem to have an unfair advantage in this conversation. It seems like they get to frame the debate. What if we don't want to agree with them? Then what do we do?

You don't have to do anything more, once you have disagreed, you've already done what you set out to do.