## Prove me wrong

For students of class 11-12 (age 16+)
Abdul Muntakim Rafi
Posts: 173
Joined: Tue Mar 29, 2011 10:07 pm

### Re: Prove me wrong

Yeah... This contradiction leads us to $x/0=undefined$ when $x$ is not equal to $0$ and $0/0=indeterminate$ ...
Man himself is the master of his fate...

tanvirab
Posts: 446
Joined: Tue Dec 07, 2010 2:08 am

### Re: Prove me wrong

Abdul Muntakim Rafi wrote: $0/0=indeterminate$ ...
What is the definition of $0/0$?

Abdul Muntakim Rafi
Posts: 173
Joined: Tue Mar 29, 2011 10:07 pm

### Re: Prove me wrong

That it may take any value... so its $indeterminate$...
Man himself is the master of his fate...

tanvirab
Posts: 446
Joined: Tue Dec 07, 2010 2:08 am

### Re: Prove me wrong

That's not a definition. That's nonsense.

tanvirab
Posts: 446
Joined: Tue Dec 07, 2010 2:08 am

### Re: Prove me wrong

Look at the definition of division again, and prove how $0/0$ is defined. You cannot just make up random ideas and claim that to be a definition. If you could, then flying cows would be real because you can define flying cows as flying cows.

nafistiham
Posts: 829
Joined: Mon Oct 17, 2011 3:56 pm
Location: 24.758613,90.400161
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### Re: Prove me wrong

the problem is getting too messy to proceed.isn't it?
why can't we just say that it's just the definition?
even in the MOs the stage persons answer the q by saying just "we can divide anything by $0$"
$\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0$
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.

tanvirab
Posts: 446
Joined: Tue Dec 07, 2010 2:08 am

### Re: Prove me wrong

There is nothing messy about it. Mathematics is a very precise science. it does not work just by saying things, no matter who says it.

Look at the definitions again:
Multiplicative inverse: The multiplicative inverse of a number x is a number y such that xy=1. Usually the inverse is written $x^{-1}$ or $1/x$
Division: The division of a number x by a number y is xy−1 where y−1 is the multiplicative inverse of y. Usually this is written $x/y$.

Now define $0/0$, if you can.

Masum
Posts: 592
Joined: Tue Dec 07, 2010 1:12 pm

### Re: Prove me wrong

In fact, what Tanvir vai is trying to say is, if you can't define something at all, then how can it make any sense, whatever the field is, real or complex!
One one thing is neutral in the universe, that is $0$.

Abdul Muntakim Rafi
Posts: 173
Joined: Tue Mar 29, 2011 10:07 pm

### Re: Prove me wrong

The wikipedia article is also wrong. It makes the same mistake as Rafi. Division is not magic. It is simply multiplication by inverse. When you say $0/0$ it means multiplying $0$ by the inverse of $0$. The inverse of $0$ cannot be defined, and therefore $0/0$ cannot be defined either.