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/sci/ - Science & Math

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7367856 No.7367856 [Reply] [Original]

why is a non zero number /0 undefined? also could you make a proof for this

>> No.7367863

>>7367856
Could you provide the result for 3/0? No? Yes of course it is fucking undefined because it doesn't make any sense.
Undefined is undefined. Don't think so hard about it.

>> No.7367865

9/3 = 3, so 3 x 3 = 9
2/2 = 1, so 1 x 2 = 2
n/0 = undef. Nothing times zero equals a nonzero number.
Fuck off with this troll it's like the third thread today.

>> No.7367885

The definition of a/b is a * b^-1, where b^-1 is the number such that b*b^-1=1. There exists no number x where 0*x=1, so division by zero is undefined.

Suppose you did define such a number. Then you'd lose all the nice properties of numbers like associativity. Hell, you could even say 1=2 and then 1=0, which means the only number you have is 0, and you have the zero ring.

>> No.7367903

The most convincing case of a defined result is infinity, but we can't have that because reasons.

>> No.7367905

>>7367885
>There exists no number x where 0*x=1
That's convenient because infinity isn't a number.
#Rekt

>> No.7367910

>>7367856
When you divide 6 by 3, you are taking six and breaking it down into 3 groups to count how many in each group (two). You cannot take 6 and break it into 0 groups, because the smallest amount of groups you can break it into is 1.

TL;DR you can't take a nonzero number and break it into zero groups. Basic logic.

>> No.7367925

>>7367910
I counter your worded explanation with my own:
When you divide 6 by 3 you're counting how many times you can subtract 3 from 6 until you have 0. So you take the first 3 and you have 3 and you take the second 3 and have zero, so the answer is 2. You can take 0 from 6 infinite number of times before reaching zero, because any finite number of subtractions of 0 from 6 leaves you still with six.

>> No.7367974

>>7367905
did you not read the last sentence you illiterate fuck
0=0
1*0=2*0
1*0*infinity=2*0*infinity
1*1=2*1
1=2
you broke math

>> No.7367977

>>7367910
>>7367925
that's not what division means
it's not breaking into groups or subtracting, it's multiplying by the reciprocal

>> No.7367981

>>7367974
Yeah multiplying anything with infinity breaks math, we've established this a while ago like;
1 * infinity = infinity
2 * infinity = infinity
therefore 2 = 1

>> No.7367990

>>7367977
>implying multiplying by the reciprocal isn't equivalent to what I said
Nice try

>> No.7367992

>>7367990
try splitting something into pi groups and counting 1/pi in each group

>> No.7367996

>>7367981
it doesn't have to be infinity, just any number that gives 1 when multiplied by zero

>> No.7368005

>>7367992
I was the subtracting guy, not the splitting group guy.

>>7367996
That can't be a number, since any number multiplied by 0 is 0.

>> No.7368012

>>7368005
ah okay
still sounds like you're saying it could be infinity

and obviously anything times zero is zero, but if you did define a number where it times zero is 1
but you're right that it can't be a number, because the fact that 0a=0 is true for any field, and the real numbers are a field

>> No.7368026

>>7368012
>still sounds like you're saying it could be infinity
I accept for reasons of pragmatism that it isn't, despite thinking it should be.

>> No.7369779

>>7367856
Easy reductio ad absurdum.
Assume there's a defined number q such that 0*q = 1.
0 = 2*0
0*q = 2*0*q
1 = 2*1 = 2
We have a contradiction. Therefore such a q isn't possible.

>> No.7369833
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7369833

Of course it's defined. You can make R+{inf} homeomorphic to S1 by the bijection x -> 1/x.

>> No.7371459

>>7367856
3 divides into 0 by zero times because 0 can't even begin to be rationed by a value of 3 or any value, for that matter. How is this confusing? Division is nothing more than a rationing of a value by another value. Holy shit mathematicians are retarded.
Also: 0 divides infinitely into any other value, including 0 because anything can divide by zero infinitely. This is NOT complicated, folks.