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#1 2012-10-24 08:01:19
- Mpmath
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- Registered: 2012-10-11
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Infinity multiplied by infinity
Hy everyone!
What do you think about operations with infinity?
We know that ∞ : ∞ = indeterminate, but what about ∞ * ∞ ?
The result is ∞ ?
A friend of mine suggest this:
n^3 : n = n^2
so
∞^3 : ∞ = ∞^2
so
∞ : ∞ = ∞^2
which means
∞^2 = indeterminate.
Any feedback is welcome.
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#2 2012-10-24 08:35:36
- bobbym
- bumpkin
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Re: Infinity multiplied by infinity
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#3 2012-10-24 08:44:36
- Mpmath
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Re: Infinity multiplied by infinity
Hi;
So you suggest that infinity multiplied by infinity equals infinity?
By the way, there are just two hypothesis about this operation.
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#4 2012-10-24 08:46:09
- bobbym
- bumpkin
- From: Bumpkinland
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Re: Infinity multiplied by infinity
Hi;
Yes, I think that ∞ * ∞ = ∞.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#5 2012-10-24 08:59:37
- anonimnystefy
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Re: Infinity multiplied by infinity
Hi;
So you suggest that infinity multiplied by infinity equals infinity?
By the way, there are just two hypothesis about this operation.
Of course. One is that infinity*infinity=infinity and the second is that multiplication is not an operation that should be applied to infinity.
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#6 2012-10-24 09:02:56
- Mpmath
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Re: Infinity multiplied by infinity
And way about n : infinity?
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#7 2012-10-24 09:08:50
- bobbym
- bumpkin
- From: Bumpkinland
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- Posts: 109,606
Re: Infinity multiplied by infinity
Hi;
How do you map n to infinity?
Oh wait, I am sorry this : is a division operator. My browser is reading it wrong. Division is not allowed.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#8 2012-10-24 09:26:43
- Mpmath
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Re: Infinity multiplied by infinity
Sorry, bobbym, n to infinity or n : infinity?
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#9 2012-10-24 09:28:50
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Infinity multiplied by infinity
Hi;
I did not understand your notation. First let's get that right. What are you saying here:
n^3 : n = n^2
I am not following that.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#10 2012-10-24 09:32:41
- Mpmath
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- Posts: 216
Re: Infinity multiplied by infinity
Hi;
The most Plausible hypothesis is 0, But if n : infinity = 0 means that n : 0 = infinity, which is impossible. I think that 0 is the batter hypothesis, But I would not exclude infinity. Answers are many.
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#11 2012-10-24 09:37:15
- Mpmath
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Re: Infinity multiplied by infinity
Regarding the second post n^3: n = n^2 is a simple formula, applied to infinity shows that infinity*infinity = indeterminate.
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#12 2012-10-24 09:39:35
- bobbym
- bumpkin
- From: Bumpkinland
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- Posts: 109,606
Re: Infinity multiplied by infinity
Hi;
n^3: n = n^2 is a simple formula
You are saying n^3 to n is n^2? What does "to" mean here? I am not following that.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#13 2012-10-24 09:39:58
- Bob
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Re: Infinity multiplied by infinity
hi Mpmath
Can I suggest you type 'divided by' to remove the confusion?
Bob
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#14 2012-10-24 09:41:19
- Mpmath
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Re: Infinity multiplied by infinity
Sorry, this means n^3 divided n= n^2.
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#15 2012-10-24 09:42:21
- Mpmath
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Re: Infinity multiplied by infinity
By the way, I Will use dividev by from now, thanks!
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#16 2012-10-24 09:52:14
- bobbym
- bumpkin
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Re: Infinity multiplied by infinity
Yes, that is what I thought. Okay, you can divide n^3 by n as long as n does not equal 0 or ∞.
is indeterminate.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#17 2012-10-24 17:00:05
- Mpmath
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Re: Infinity multiplied by infinity
Yes, that's what I was thinking.
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#18 2012-10-24 17:51:56
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Infinity multiplied by infinity
But
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#19 2012-10-24 17:54:50
- Mpmath
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- Posts: 216
Re: Infinity multiplied by infinity
Ok. This is most Plausible hypothesis.
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#20 2012-10-24 17:58:11
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Infinity multiplied by infinity
Hi;
Yes, infinity is not a number. Some programming languages say NAN for it. Therefore, you can not add or subtract or perform any other type of arithmetic on it and expects consistent results with the number system. There is a small movement in mathematics, but growing, to eliminate it entirely.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#21 2012-10-24 18:23:03
- Mpmath
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Re: Infinity multiplied by infinity
Hi;
This small movement wants to eliminate infinity or operations with infinity?
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#22 2012-10-24 18:32:36
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Infinity multiplied by infinity
Eliminate infinity entirely.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#23 2012-10-24 18:59:55
- Mpmath
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Re: Infinity multiplied by infinity
I think that eliminate infinity is absurd. Infinity is a way to define where numbers and universe can arrive.
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#24 2012-10-24 19:08:01
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Infinity multiplied by infinity
They believe like others that the concept of infinity is full of holes. It really does not belong in mathematics and could be replaced. I am not expert on this part of math and therefore do not know enough to decide who is right.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#25 2012-10-24 20:10:30
- Mpmath
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- Registered: 2012-10-11
- Posts: 216
Re: Infinity multiplied by infinity
Well, no one can decide what is better Regarding infinity, we can only have a theory.
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