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#1 2012-10-25 07:01:19
- Mpmath
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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.
Winter is coming.
#2 2012-10-25 07:35:36
- bobbym
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Re: Infinity multiplied by infinity
Hi;
Please take a look here:
http://www.mathsisfun.com/numbers/infinity.html
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#3 2012-10-25 07:44:36
- 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.
Winter is coming.
#4 2012-10-25 07:46:09
- bobbym
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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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#5 2012-10-25 07:59:37
- anonimnystefy
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Re: Infinity multiplied by infinity
Mpmath wrote:
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.
The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
#6 2012-10-25 08:02:56
- Mpmath
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Re: Infinity multiplied by infinity
And way about n : infinity?
Winter is coming.
#7 2012-10-25 08:08:50
- bobbym
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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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#8 2012-10-25 08:26:43
- Mpmath
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Re: Infinity multiplied by infinity
Sorry, bobbym, n to infinity or n : infinity?
Winter is coming.
#9 2012-10-25 08:28:50
- bobbym
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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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#10 2012-10-25 08:32:41
- Mpmath
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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.
Winter is coming.
#11 2012-10-25 08:37:15
- 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.
Winter is coming.
#12 2012-10-25 08:39:35
- bobbym
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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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#13 2012-10-25 08:39:58
- bob bundy
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Re: Infinity multiplied by infinity
hi Mpmath
Can I suggest you type 'divided by' to remove the confusion?
Bob
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
#14 2012-10-25 08:41:19
- Mpmath
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Re: Infinity multiplied by infinity
Sorry, this means n^3 divided n= n^2.
Winter is coming.
#15 2012-10-25 08:42:21
- Mpmath
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Re: Infinity multiplied by infinity
By the way, I Will use dividev by from now, thanks!
Winter is coming.
#16 2012-10-25 08:52:14
- bobbym
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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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#17 2012-10-25 16:00:05
- Mpmath
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Re: Infinity multiplied by infinity
Yes, that's what I was thinking.
Winter is coming.
#18 2012-10-25 16:51:56
- bobbym
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Re: Infinity multiplied by infinity
But
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#19 2012-10-25 16:54:50
- Mpmath
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Re: Infinity multiplied by infinity
Ok. This is most Plausible hypothesis.
Winter is coming.
#20 2012-10-25 16:58:11
- bobbym
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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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#21 2012-10-25 17:23:03
- Mpmath
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Re: Infinity multiplied by infinity
Hi;
This small movement wants to eliminate infinity or operations with infinity?
Winter is coming.
#22 2012-10-25 17:32:36
- bobbym
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Re: Infinity multiplied by infinity
Eliminate infinity entirely.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#23 2012-10-25 17:59:55
- 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.
Winter is coming.
#24 2012-10-25 18:08:01
- bobbym
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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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#25 2012-10-25 19:10:30
- Mpmath
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Re: Infinity multiplied by infinity
Well, no one can decide what is better Regarding infinity, we can only have a theory.
Winter is coming.