Why is division by zero impossible?

Conceptually, I don't get it. When you divide by zero, is the result "infinity" or "undefined" or what?

Please help me acheive satori, /sci/.

When you divide something, you separate it into parts; the mathematical operation of division returns a specific number of parts.  Dividing something by 1 means you return the original object since it is already its own part.  Division into zero parts is impossible because neither simply returning the object as-is nor getting rid of the object accurately resolves the operation.  In the former hand, there is still "one part" and, in the latter hand, there was no dividing in the first place.  Obviously, that also means we can't return "infinity."  In the case of an equation that divides by zero and is not a function limit evaluation, Division By Zero is the correct solution.

"Infinity" is a concept used in limit law to describe the path of functions and equations; it has no weight as a numerical identity.

0 = (=)

:/

DIVIDE BY ZERO MY ANUS

5*0=0, 0/5=0 Yes

0=5, 5/0=0  I don't think so. But if you really want to think of it in a conceptual sense just think of fractions.

0 parts of 5 is 0, but trying to find 5 parts of 0 is...well good luck.

>When you divide something, you separate it into parts;
Lol no. Its an abstract math operation now.
Its infinity, with the sign of divided number, just the process is ill-defined.

(R,x) is not a group ; no inverse for zero.

If a/0=b for any real number b, you can derive inconsistent results.


Conceptually:

If you have a box of volume V and want to know how many balls of volume B into the box, you divide V/B.
But say the volume of the ball is 0, then you can fit infinitely many balls inside... but there also no balls inside. BAM!

0 = GOD
the presence of the absence of a thing.

:/

They say one is the loneliest number, but zero isn't even allowed to divide.

:(

>>10
BUT IT CAN MULTIPLY!!! :D

:/

>>11
Everyone has to start somewhere

>>12
Some people have to start with everyone

:/

Some people are everyone, who have to start.

D:

>>14
That's illogical, sir.
Some people cannot be everyone. Therefore they don't have to start.

:/

>>15
Yes but allow me to make a counter point:

Some people cannot start, so no people who are everyone can be someone.

:[

>When you divide by zero, is the result "infinity"
no, because the limit of f(x) is not necessarily = to x.

>>17
it is if it is by definition.  you can pull all kind of shit by definition.

>>16
Now you're your just trying to fallate yourself.

:/

>>19
if i could, i would

Division is defined by multiplication. a/b is equivalent to a*b^-1 so if you want to divide by 0, b^-1 would have to be equal to 0. However, there is no value for b that would make it equal to 0 so therefore a solution does not exist and division by zero is undefined.

>>21
How delightfully circular.

>b^-1 would have to be equal to 0
b=0?

>>23
oh, snap dawg!

XD

>>23
a/b = a*b^-1 = a * 1/b
Making 'b' 0, even when a*b^-1 - just brings us back to the original conundrum - what do you do when you divide by zero?

As was stated by someone else in the thread:
a/b = c and a = b * c
1/0 = c and 1 = 0 * c, c is undefined (The Witch of Origins?)
0/1 = c and 0 = 1 * c, c is 0