M.ZeeshanRashid's blog

Proof That The Fraction n/0 is always 0
By M.ZeeshanRashid, history, 10 months ago, In English

Prequisites

This proof uses the following 3 facts:

$$$1.\quad -\frac{a}{b}=\frac{a}{-b}$$$

$$$2.\quad -0=0$$$

$$$3.\quad x=x$$$ is always true.

The Proof

Let $$$e$$$ be assigned the fraction $$$\frac{n}{0}$$$ for clarity.

Lemma: $$$e=-e$$$

Proof of Lemma:

$$$e=-e$$$

$$$\frac{n}{0}=-(\frac{n}{0})$$$

Move the $$$-$$$ in the denominator.

$$$\frac{n}{0}=\frac{n}{-0}$$$

And $$$-0=0$$$ so:

$$$\frac{n}{0}=\frac{n}{0}$$$

Hence $$$e=-e$$$

If $$$e=-e$$$ then:

$$$2e=0$$$

$$$e=0$$$

Thus, $$$\frac{n}{0}$$$ is $$$0$$$ for all $$$n$$$.

I would like to know about any mistakes in the comments. (Except for the fact that $$$\frac{n}{0}$$$ is illegal)

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10 months ago, hide # |
 
Vote: I like it +10 Vote: I do not like it

Pretty interesting proof, and obviously, except for the fact that we can prove anything with this:

Example
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    10 months ago, hide # ^ |
    ← Rev. 2  
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    Ohh, well, I guess that has a crucial flaw!

    We can multiply both sides of any equation by $$$0$$$, which allows us to prove or disprove anything this way. Thus, we cannot use this reasoning to give a counterargument against the so-called proof.

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10 months ago, hide # |
 
Vote: I like it +2 Vote: I do not like it

Interesting... I think n/0 is illegal for a reason.

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10 months ago, hide # |
 
Vote: I like it 0 Vote: I do not like it

I think all you proved was

X = -X then X = 0

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10 months ago, hide # |
 
Vote: I like it +5 Vote: I do not like it

$$$-\frac{a}{b}=\frac{a}{-b}$$$ is true only when $$$b\ne 0$$$.

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10 months ago, hide # |
 
Vote: I like it 0 Vote: I do not like it

anything divided by 0 is not defined. but you have equated n/0 to -(n/0) how can you equate something that is not defined

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    10 months ago, hide # ^ |
    ← Rev. 3  
    Vote: I like it 0 Vote: I do not like it

    I said "mistakes in the comments. (Except for the fact that n/0 is illegal)" and this was just for fun no actual defining n/0.

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      10 months ago, hide # ^ |
      ← Rev. 2  
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      Although this might seem bogus, I respect how in-depth this is and how you actually used real mathematics equalities and didn't make up anything(other than ignoring n/0 is undefined)! You earned yourself an upvote.

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