Sure. that's what I have asked probably 20 times in this thread. What is the definition of $0/0$? Define it.Masum wrote: may we define it some other way?
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- Mon Dec 26, 2011 3:34 pm
- Forum: Higher Secondary Level
- Topic: Prove me wrong
- Replies: 95
- Views: 55573
Re: Prove me wrong
- Mon Dec 26, 2011 3:09 pm
- Forum: Higher Secondary Level
- Topic: Prove me wrong
- Replies: 95
- Views: 55573
Re: Prove me wrong
I have a logic to present. See in real numbers $i$ is undefined but that was not bound by the definitions of real numbers only. Only by definition, as you are claiming, it is simply impossible to bound the numbers, whatever it is-real or imaginary. Am I clear or there are obstacles? So I can't agre...
- Mon Dec 26, 2011 2:45 pm
- Forum: Higher Secondary Level
- Topic: Prove me wrong
- Replies: 95
- Views: 55573
Re: Prove me wrong
But how can u prove it mathematically? You cannot. That's the point of being undefined. If something is undefined you cannot do mathematics with it. To do mathematics you need to define every object that you talk about. If you cannot say the definition of something, than there is no mathematics abo...
- Mon Dec 26, 2011 1:34 pm
- Forum: Higher Secondary Level
- Topic: Prove me wrong
- Replies: 95
- Views: 55573
Re: Prove me wrong
Saying $0/0$ is undefined means it is not defined, in other words, it does not exist. You cannot conclude something about something that does not exist. Conclusions (and arguments) are about things that exist i.e. can be defined. Because $0*1/0$ is not equal to 1... Well how can we say that it is no...
- Sun Dec 25, 2011 2:27 am
- Forum: Higher Secondary Level
- Topic: Prove me wrong
- Replies: 95
- Views: 55573
Re: Prove me wrong
There is no such thing as concluding that something is defined or undefined. Neither is there any such things as proving defined or undefined. A definition is something that you start with and derive other things from it. You cannot just say something that does not exist, and then make arguments abo...
- Fri Dec 23, 2011 5:01 am
- Forum: Higher Secondary Level
- Topic: Prove me wrong
- Replies: 95
- Views: 55573
Re: Prove me wrong
Let $\frac00=k\in\mathbb R$ In other words, all of your argument is based on this assumption. But who told you that this assumption is true? No one. Because it is not true. You cannot assume something that is not true and then make arguments based on that. For any of your arguments to make any sens...
- Fri Dec 23, 2011 12:29 am
- Forum: Higher Secondary Level
- Topic: Prove me wrong
- Replies: 95
- Views: 55573
Re: Prove me wrong
Just to make it clear, when you say something about something you need to know what that things is i.e. you need to define it. For example when I say $3/4$ I can define it, but when I say $3@4$ that does not mean anything, because I have not defined it. When I say $0+0$ I can define it, but no one h...
Re: spark...
I think that's photo-electron effect. Microwave ovens work by using microwave waves, which hit the electrons in the metal.
- Fri Dec 23, 2011 12:23 am
- Forum: Higher Secondary Level
- Topic: Factorial
- Replies: 6
- Views: 4996
Re: Factorial
Here you need to define $1!$ first. This is also acceptable. But usually $0!$ is defined first then all the other positive integer factorials are derived from it.photon wrote:my teacher once gave me that Proof( not by me0,
$n! =n(n-1)!$
Or,$(n-1)! = n(n-1)!/n =n!/n$
Putting n = 1, we have
$O! = 1!/1=1$
- Fri Dec 23, 2011 12:20 am
- Forum: Higher Secondary Level
- Topic: Prove me wrong
- Replies: 95
- Views: 55573
Re: Prove me wrong
No. You still need to define $0/0$ before making arguments about it. What is $0/0$?