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#1 2009-05-09 20:46:03
- regnar998
- Member
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Infinity minus infinity
I've come across this weird little puzzle,
Infinity - Infinity = ???
Now when you first look at this you might think it equals zero. But look at it like this:
If you have infinity marbles and you give infinity (As in all of them) to someone else then infinity - infinity = nothing.
But if you have infinity marble numbered 1, 2, 3 etc. and gave every second marble to someone then infinity - infinity = infinity
BUT if you give someone else all the marbles numbered 3 or above (Which is infinity marbles) then infinity - infinity = 2.
But the question is in all these examples are you really giving infinity marbles away and do you still have infinity (Or whatever) left???
What do you guys think anyway?
Regnar
The 186,557,266-186,557,274 digits of PI is 12345678. (tinyurl.com/pisearch)
#2 2009-05-09 21:17:21
- bobbym
- Administrator
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Re: Infinity minus infinity
Hi regnar998;
Welcome to the forum. Look at this.
There is no single answer to this, as infinity is not a number in the strictest sense.
Infinity is a "limit". It is something you can get closer and closer to, but you never
quite reach it. What matters is how fast you approach the first infinity (call it
infinity01) versus how fast you approach the second infinity (call it infinity02). If
you approach both at exactly the same speed, always the same distance from each, then
infinity01-infinity02=0. If you are always a little closer to infinity01, then
infinity01-infinity02 is a positive number. If you move toward infinity01 twice as
fast as how you approach infinity02, then infinity01-infinity02=infinity. The behavior
of limits is not quite the same as the behavior of numbers.
Dr. Ken Mellendorf
I agree with some of this and some I am not sure of. Lets wait for some of the other posters who are way more rigorous to settle the question.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#3 2012-12-01 23:52:03
- julianthemath
- Super Member
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Re: Infinity minus infinity
Indeterminate!
Star members have too many stars. So, if I congratulate new star members, so, that means I need more stars for my picture?
#4 2012-12-02 12:35:00
- Calligar
- Full Member
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Re: Infinity minus infinity
I would say undefined because infinity isn't a number. Infinity can be a difficult concept to understand when using it in ways such as that. I might suggest you look here to find out more about it...
http://www.mathsisfun.com/numbers/infinity.html
Life isn’t a simple Math: there are always other variables. -[unknown]
But Nature flies from the infinite, for the infinite is unending or imperfect, and Nature ever seeks an end. -Aristotle
#5 2012-12-08 19:03:11
- julianthemath
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Re: Infinity minus infinity
Calligar wrote:
He said undefined.
Star members have too many stars. So, if I congratulate new star members, so, that means I need more stars for my picture?
#6 2012-12-08 19:04:41
- julianthemath
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Re: Infinity minus infinity
julianthemath wrote:
I said indeterminate.
Indeterminate means you cannot tell the answer, because of infinity, meaning forever.
Star members have too many stars. So, if I congratulate new star members, so, that means I need more stars for my picture?