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| NBarden |
 Posted: Wed Dec 12, 2007 11:36 am |
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Joined: 28 Dec 2006
Posts: 5468
Location: I don't know...
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If X to the ∞ (infinity) power = ∞, and 0 to the Y power = 0 (DOMAIN: X=All Real Numbers, Y=All real Numbers), then does 0 to the ∞ power simultaneously equal 0 and infinity, in which case, are zero and infinity equal?
25 = 25 (fundamental duh)
25 = (-1)(-1)(25) (negative of a negative is a positive)
SQRT 25 = SQRT [(-1)(-1)(25)] (what you do to one side, you can do to the other)
SQRT 25 = SQRT (-1) * SQRT (-1) * SQRT (25) (splitting apart square roots is legal if number is in multiplicative form)
5 = i * i * 5 (SQRT of -1 = i)
5 = i^2 * 5 (i * i = I squared)
5 = -5 (i^2 = -1)
1=-1 (divide both sides by 5)
If infinity = 0, then -2 = infinity minus 2. All operations on infinity result in infinity, thus, -2 = infinity. Taking it a step further, we can deduce that all real numbers equal infinity by the same logic, and thus all real numbers equal infinity. Taking it one more step, if all real numbers equal infinity, and any operations on infinity equal infinity, then the square root of a negative equals infinity, and thus EVERY SINGLE NUMBER IN THE UNIVERSE equals infinity and 0, and thus all numbers are equal to each other. |
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 Add the popcorn smiley to your sig, help it achieve world domination.
What if the hokey pokey really IS what its all about? 
As I lay in bed staring at the stars last night, I thought to myself, "where the heck is the ceiling?"
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| Gate Troll |
| Posted: Wed Dec 12, 2007 11:45 am |
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Joined: 15 Aug 2006
Posts: 384
Location: Udun Vale, Home of the one and only... Gate Troll!
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NBarden wrote: If X to the ∞ (infinity) power = ∞, and 0 to the Y power = 0 (DOMAIN: X=All Real Numbers, Y=All real Numbers), then does 0 to the ∞ power simultaneously equal 0 and infinity, in which case, are zero and infinity equal?
25 = 25 (fundamental duh)
25 = (-1)(-1)(25) (negative of a negative is a positive)
SQRT 25 = SQRT [(-1)(-1)(25)] (what you do to one side, you can do to the other)
SQRT 25 = SQRT (-1) * SQRT (-1) * SQRT (25) (splitting apart square roots is legal if number is in multiplicative form)
5 = i * i * 5 (SQRT of -1 = i)
5 = i^2 * 5 (i * i = I squared)
5 = -5 (i^2 = -1)
1=-1 (divide both sides by 5)
If infinity = 0, then -2 = infinity minus 2. All operations on infinity result in infinity, thus, -2 = infinity. Taking it a step further, we can deduce that all real numbers equal infinity by the same logic, and thus all real numbers equal infinity. Taking it one more step, if all real numbers equal infinity, and any operations on infinity equal infinity, then the square root of a negative equals infinity, and thus EVERY SINGLE NUMBER IN THE UNIVERSE equals infinity and 0, and thus all numbers are equal to each other.
There has to be a mistake there somewhere. Geez. That is twisted. |
| "Wars may be fought with weapons, but they are won by men. It is the spirit of the men who follow and of the man who leads that gains that victory."-George S. Patton. |
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| CarpeGuitarrem |
| Posted: Wed Dec 12, 2007 11:55 am |
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Joined: 07 Apr 2006
Posts: 3361
Location: Franciscan University of Steubenville
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Infinity is not a number, so you can’t do math with infinity. Thus #1 and #3 make no sense.
Regarding #2, the closest I could find...
http://en.wikipedia.org/wiki/Invalid_proof#Version_2 |
| "ok, change of plans. the Cobracards christmas party is coming to my house, and we’re gunna teach FM how to hunt." (mm) |
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| AgentDrake |
| Posted: Wed Dec 12, 2007 12:02 pm |
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Joined: 01 Apr 2007
Posts: 667
Location: Halfway between eccentric and insane...
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If Australia is on the other side of the world (from us US peoples), that means they’re in tomorrow. But tomorrow never comes.
Australia does not exist yet. And the point when it does exist will never come.
Australia is a work of fiction. |
| Never kid about politicians. The more bizarre the joke, the more likely it is to come true. |
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| Anonymous Prodigy |
| Posted: Wed Dec 12, 2007 12:50 pm |
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Joined: 10 Jan 2006
Posts: 4197
Location: United States
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But does that mean that to Australians, America does not exist? 
Quick, let’s all move to Japan and make France disappear.  |
| I had to put something here. |
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| NBarden |
| Posted: Wed Dec 12, 2007 1:48 pm |
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Joined: 28 Dec 2006
Posts: 5468
Location: I don't know...
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| AgentDrake |
| Posted: Wed Dec 12, 2007 2:59 pm |
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Joined: 01 Apr 2007
Posts: 667
Location: Halfway between eccentric and insane...
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| Infinity isn’t a normal number, because it’s undefined, and Zero screws around with the rules of math. ie, can’t divide by 0. |
| Never kid about politicians. The more bizarre the joke, the more likely it is to come true. |
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| NBarden |
| Posted: Wed Dec 12, 2007 3:32 pm |
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Joined: 28 Dec 2006
Posts: 5468
Location: I don't know...
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Asymptotes deal with 0 and infinity, actually, that’s ALL they deal with.
Math deals a LOT with 0 and infinity.
Infinity is infinity. You deal with it all the time. It may be undefined, but there are some rules for infinity, namely, an operation on infinity = infinity and X^infinity = infinity. |
-Trade With Me
Add the popcorn smiley to your sig, help it achieve world domination.
What if the hokey pokey really IS what its all about?
As I lay in bed staring at the stars last night, I thought to myself, "where the heck is the ceiling?"
Spotlight on....Sense of Obligation. |
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| CarpeGuitarrem |
| Posted: Wed Dec 12, 2007 4:07 pm |
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Joined: 07 Apr 2006
Posts: 3361
Location: Franciscan University of Steubenville
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It doesn’t have to be a number for you to deal with it in math. While 0 is a number, ∞ is not...because a number is like a specific point. A number has a value. ∞ does not have a value.
Because it’s undefined, all the normal rules don’t apply to it. That’s what I meant when I said "you can’t do math with infinity". The rules you mentioned are pretty much the only allowable ones. |
| "ok, change of plans. the Cobracards christmas party is coming to my house, and we’re gunna teach FM how to hunt." (mm) |
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| NBarden |
| Posted: Wed Dec 12, 2007 4:22 pm |
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