D-ScratchNinja wrote:

While any other number divided by zero is infinity, I think the result of 0 / 0 is both zero and infinity, so NaN could be used to represent the paradox.

NilsTheBest wrote:

snippy

D-ScratchNinja wrote:

While any other number divided by zero is infinity, I think the result of 0 / 0 is both zero and infinity, so NaN could be used to represent the paradox.

From what I understand from a research I did a while ago, dividing by 0 seems to be infinity, which isn't a number. Infinity is a.. concept, not a number? If it was 0, it would display “0”, not “Nan”. But that's just my theory (✧≖╭͜ʖ╮≖)

UnconstructivePoster wrote:

NilsTheBest wrote:

snippy

D-ScratchNinja wrote:

While any other number divided by zero is infinity, I think the result of 0 / 0 is both zero and infinity, so NaN could be used to represent the paradox.

From what I understand from a research I did a while ago, dividing by 0 seems to be infinity, which isn't a number. Infinity is a.. concept, not a number? If it was 0, it would display “0”, not “Nan”. But that's just my theory (✧≖╭͜ʖ╮≖)

0 divided by 0 could be any number, because any number times 0 equals 0. That's why it's undefined.

NilsTheBest wrote:

UnconstructivePoster wrote:

NilsTheBest wrote:

snippy

D-ScratchNinja wrote:

While any other number divided by zero is infinity, I think the result of 0 / 0 is both zero and infinity, so NaN could be used to represent the paradox.

From what I understand from a research I did a while ago, dividing by 0 seems to be infinity, which isn't a number. Infinity is a.. concept, not a number? If it was 0, it would display “0”, not “Nan”. But that's just my theory (✧≖╭͜ʖ╮≖)

0 divided by 0 could be any number, because any number times 0 equals 0. That's why it's undefined.

Take 15. Divide it by 3.
You take 3, you get 12.
You take 3, you get 9.
{…}
You take 3, you get 0.
You “took 3” 5 times, so 15 / 3 = 5.

Now take a number like 42.
You take 0, you get 42.
You take 0, you get 42.
{…}
You take 0, you get 42.
You take 0, you get 42.

It doesn't really seem to be taking us anywhere. You're “taking 0” an infinite amount of times.
So x / 0 = ∞ ?

UnconstructivePoster wrote:

bleh

But nobody likes this scenario, so 0 / 0 is called an *indeterminate form.

NilsTheBest wrote:

UnconstructivePoster wrote:

NilsTheBest wrote:

snippy

D-ScratchNinja wrote:

While any other number divided by zero is infinity, I think the result of 0 / 0 is both zero and infinity, so NaN could be used to represent the paradox.

From what I understand from a research I did a while ago, dividing by 0 seems to be infinity, which isn't a number. Infinity is a.. concept, not a number? If it was 0, it would display “0”, not “Nan”. But that's just my theory (✧≖╭͜ʖ╮≖)

0 divided by 0 could be any number, because any number times 0 equals 0. That's why it's undefined.

Take 15. Divide it by 3.
You take 3, you get 12.
You take 3, you get 9.
{…}
You take 3, you get 0.
You “took 3” 5 times, so 15 / 3 = 5.

Now take a number like 42.
You take 0, you get 42.
You take 0, you get 42.
{…}
You take 0, you get 42.
You take 0, you get 42.

It doesn't really seem to be taking us anywhere. You're “taking 0” an infinite amount of times.
So x / 0 = ∞ ?

WindOctahedron wrote:

Actually, because anything divided by itself is 1, 0/0 should also be 1.

Dragonlord767 wrote:

Can we get this back on topic? This thread is not to discuss what 0/0 is.

>>> 0/0
Traceback (most recent call last):
  File "<pyshell#0>", line 1, in <module>
    0/0
ZeroDivisionError: division by zero

#include <stdio.h>
int main() {
	return 0/0;
}

divzero.c: In function ‘main’:
divzero.c:4:10: warning: division by zero [-Wdiv-by-zero]
  return 0/0;
          ^

Floating point exception (core dumped)

>>> float('nan')
nan

>>> float('inf') - float('inf')
nan
>>> float('inf') + float('-inf')
nan
>>> float('inf') / float('inf')
nan

DaEpikDude wrote:

However, start with 1/-1, 1/-0.1, 1/-0.01 etc., you still end up with 1/0 but this time the number goes down to negative infinity.

-Reshiram- wrote:

DaEpikDude wrote:

However, start with 1/-1, 1/-0.1, 1/-0.01 etc., you still end up with 1/0 but this time the number goes down to negative infinity.

Yes, but that means x / -0 = -∞.

WaterComesBack wrote:

-Reshiram- wrote:

DaEpikDude wrote:

However, start with 1/-1, 1/-0.1, 1/-0.01 etc., you still end up with 1/0 but this time the number goes down to negative infinity.

Yes, but that means x / -0 = -∞.

0 is a neutral number, so -0 does not exist

>>> 0
0
>>> -0
0
>>> 0.0
0.0
>>> -0.0
-0.0

kenny2scratch wrote:

WaterComesBack wrote:

-Reshiram- wrote:

DaEpikDude wrote:

However, start with 1/-1, 1/-0.1, 1/-0.01 etc., you still end up with 1/0 but this time the number goes down to negative infinity.

Yes, but that means x / -0 = -∞.

0 is a neutral number, so -0 does not exist

-0 doesn't, but -0.0 does, at least when it comes to Python

>>> 0
0
>>> -0
0
>>> 0.0
0.0
>>> -0.0
-0.0

CatsUnited wrote:

-snip-
That's most likely just due to how floating point numbers work in programming languages, since in proper programming languages, integers and floating point numbers are two different data types which you don't have to worry about in Scratch.

0 00000000 00000000000000000000000
s exponent mantissaaaaaaaaaaaaaaa

1 00000000 00000000000000000000000
s exponent mantissaaaaaaaaaaaaaaa

>>> 0.0 * 3
0.0
>>> -0.0 * 3
-0.0
>>> 0.0 < 0
False
>>> -0.0 < 0
False
>>> 0.0 > 0
False
>>> -0.0 > 0
False
>>> 0.0 / 1
0.0
>>> -0.0 / 1
-0.0
>>> 1 / 0.0
Traceback (most recent call last):
  File "<pyshell#8>", line 1, in <module>
    1 / 0.0
ZeroDivisionError: float division by zero
>>> 1 / -0.0
Traceback (most recent call last):
  File "<pyshell#9>", line 1, in <module>
    1 / -0.0
ZeroDivisionError: float division by zero