Division by zero = plus/less infinity (proof)

LED ZEPPELIN

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"PHILOSOPHICAL PROOF"


You have a simple task.
You have an empty platform and you have several objects which weight 2kg each.
Your objective is to fill the platform in a way the platform will say everything weights 10kg.
How to solve it? Simple. 10:2 which is 5. This is a piece of cake.

But what if you have a several objects which weight 0 kg each? how many objects would you need to get the 10kg thing? infinite objects, because they have no mass...

PRACTICAL PROOF
(requires that you're not a retard in order to understand it)

We know that division is the counter operation of multiplication so you first must understand this second concept.

A multiplication is a small series of sums.

So 5x4 is 5 + 5 + 5 + 5 which is 20. You used the 5 four times, so 5 x 4.

Another example. 6x3 means 6 + 6 + 6 which means 18. You used the 6 three times, so 6x3.

But this you should already know. The trick is that division, since it is the opposite of multiplication, it is a small series of subtractions. Check it out.

20 : 5 we know that is four, but notice that you can subtract the 5 FOUR TIMES from the 20. look:

20 - 5 = 15
15 - 5 = 10
10 - 5 = 5
5 - 5 = 0

See? 4 times the 5 so a division is a subtraction.
Another example:
18:6 =

18 - 6 = 12
12 - 6 = 6
6 - 6 = 0

Get it? This is indeed interesting, isn't it?

Of course it's not, you want to understand why division by zero is plus or less infinity. So here you go. Let's try using this method with zero. Let's use 69 because it draws attention.

69 - 0 = 69
69 - 0 = 69
69 - 0 = 69
69 - 0 = 69....
it never ends!!!!!!!!!! so it's plus or less infinity (depending on the sign of the number you use) because you'll never subtract anything at all and therefore you'll never leave your initial number.....



MIND BLOWN
 

Yusuke Urameshi

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I never thought about division that way, but it's not mind blowing.
 

Erebus

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Yes ur mind must be blown

JK, though i already knew all what you said, i once used to get confused with the concept of division by zero so I've threaded these waters b4
 

Snape Uchiha

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You cannot divide by zero. Diving by a number approaching zero is approaching infinite, but if you cannot divide by zero itself because you would be splitting a number into zero pieces which cannot exist.
 

Ludicrous

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That makes sense since anything divided by 0 is undefined. But remember that infinity is not a real number.
 

Joon

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I just learn something today. u_u

Edited: FYI: I hate math.
 

LED ZEPPELIN

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You cannot divide by zero. Diving by a number approaching zero is approaching infinite, but if you cannot divide by zero itself because you would be splitting a number into zero pieces which cannot exist.

at this point of maths, comparing such hypothetical situation to something like splitting an apple means that you have the mentality of someone who is still not used to algebra. why don't you take an engineering course and tell that to some mit phds...lel
 

Wolfus

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You cannot divide by zero. Diving by a number approaching zero is approaching infinite, but if you cannot divide by zero itself because you would be splitting a number into zero pieces which cannot exist.

I came here to say this. Someone is forgeting the + in "0 +" and "0-". The limit of an equation a/0+ is + infinite( a>1).

The point is exactly what you said. We cannot divide by zero, we can only divide by somethign extremelly close to 0, and then, the result is infinite(if the number being divided is >1 or at least much bigger than the "0" we're using, as 0/0 is an undetermined form"
 
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LED ZEPPELIN

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It's a hyperreal number. Not a real number. It doesn't have the properties of one. Whats infinity plus 10? Impossible. Right.

can you read, speak, listen and understand the english language?

by the way, {x E *+H // +infinity < x < +infinity + 10}
 
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Snape Uchiha

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I came here to say this. Someone is forgeting the + in "0 +" and "0-". The limit of an equation a/0+ is + infinite( a>1).

The point is exactly what you said. We cannot divide by zero, we can only divide by somethign extremelly close to 0, and then, the result is infinite(if the number being divided is >1 or at least much bigger than the "0" we're using, as 0/0 is an undetermined form"
Yes you are right, if you simply tried to divide by a number approaching zero the the limit would be approaching both positive and negative infinity, which dies not exist.
 

Wolfus

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It's a hyperreal number. Not a real number. It doesn't have the properties of one. Whats infinity plus 10? Impossible. Right.

I guess the only logical argument to say that infinite is not exactly like a real number is the fact that we don't know how big is the infinite we're considering/using in that equation. If I write infinite/infinite, if it were a real number, the result would be 1. However, the result can be anything, because we don't know how big is the first infinite, anmd how big is the second one.
 

Wolfus

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Yes you are right, if you simply tried to divide by a number approaching zero the the limit would be approaching both positive and negative infinity, which dies not exist.

Exactly, this limit would be either - infinite or + infinite(it will depend from "which direction" x approaches 0), but dividing by 0 is impossible, for now that is.

Good thing limits are still fresh in my mind, as I had a test about it 2 weeks ago. But I guess this is somthing I'll never forget, just like dividing polynomials.
 
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