What the fuck. Why is that true. They got different numbers in them.
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Anonymous2006-05-31 10:40
>>34 It is true that all matter and energy is quantised but time and probability and other factors exist as real numbers.
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Anonymous2006-05-31 11:29 (sage)
>>41
That implies that the computing power of the universe is beyond that of a Universal Turing Machine. That's extremely counter-intuitive; it makes much more sense for space and time to be quantized, and I see no reason for it not to be.
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Anonymous2006-05-31 13:48
Is 0.9999999... = 1?
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Anonymous2006-05-31 13:59
Don't believe the stupid lies. How could 0.999... be 1 when we all know that it isn't? Think!
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Anonymous2006-05-31 14:38
assume .999~ = 1
subtract 1 from both sides
-.000~1 = 0
multiply by 2
-.000~2 = 0
thus
.000~1 = .000~2
divide both sides by .000~1
1 = 2
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Anonymous2006-05-31 14:59
.000~1
We are beyond math now. We are in the realm of Meta Math!
Why do you fucking retards return every time this thread occurs? I can only hope that each time I post this, one person is convinced, that way, assuming there is only a finite number of idiots here, eventually you will all learn.
Let:
x = 0.999~
Multiply both sides by 10.
10x = 9.999~
Subtract 0.999~ (which is equal to x) from both sides.
9x = 9
Divide both sides by 9.
x = 1
We began by stating that x = 0.999~, therefore.
0.999~ = 1
A proof that requires nothing more than middle-school algebra. Satisfied?
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Anonymous2006-05-31 23:51
>>45 Uh, no. There is no last digit in the infinite expansion of 0.999... So you can't do operations like that. Analog of using infinities and ordinary arithmatic to show that 1=2...
(And if there were, which there isn't, it would be a 9, not a 1)
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Anonymous2006-06-01 1:11
>>39 >>40
What the fuck? People are posting all sorts of mathematical proofs, and you're saying "to your knowledge"? Jesus fucking christ. Learn to yield to someone who has a clue.
You know that link 49 and 5 posted up? You might want to look at that, I think you'll find it jolly interesting.
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Anonymous2006-06-01 7:13
>>49,52
There exist people who are fundamentally unable to comprehend the concept of infinity. Don't worry too much about it. Instead, we should revel in our superiority.
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Anonymous2006-06-01 8:02
that's funny because if you understood infinity you would understand that 0.999... isn't 1
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Anonymous2006-06-01 12:35
Remember what infinity means. Alright, instead of using mathematical rigour (which is self-evidently reliable anyway) I'll try and use common reasoning. 0.9999... is infinitely close to 1 right? The seat of my trousers is infintely close to the chair I'm sitting on, that means it's touching it. In the same way 0.9999... touches 1, it therefore equals 1.
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Anonymous2006-06-01 14:48
Nice try, but no. It's kinda like the integers 1 and 2 are touching, but they are not equal. That's just how mathematics works, sorry.
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Anonymous2006-06-01 15:58 (sage)
The reason why the 1=2 proof works is because you're dividing by zero during the proof.
As for The "10-.999~"=9, I'd say that it'd equal 9.000~ with a one at the end (of infinity). However, for anything non-purely theoretical, yes, you can round it and make it one.
I didn't mean that, read it again. 'Touch' was used to illustrate the fact that you can imagine something being infinitely close to something means it touches it. As in, as the difference between 0.999... and 1 becomes infinitely closer you cannot possibly measure and state it. They are therefore not consecutive, but the same number; they are touching rather than the shortest of distances apart.
So, taken in this sense, 1 and 2 are consecutive, but not touching.
...Just look at the wiki, that'll make sense.
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Anonymous2006-06-01 19:14 (sage)
>>58
Two possibilities:
1. These people are trolling. You are wasting your time.
2. They are like Christians; no amount of logic will make them see they are wrong. You are wasting your time.
Infinitely close = touching is a "real world approximation", and doesn't really stand up to mathematical rigour. 0.999... is as much 1 as 22/7 is Pi. That is, not at all.
Except that 22/7 is only equal to pi when you're looking at the first few decimal places, yet .999... is infinitely close to one when there are an infinite number of nines (that is, the decimal is written out fully), so that argument is pretty stupid.
There is no real number between .999... and 1, so therefore .999...=1.
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Anonymous2006-06-02 1:17
>>57
"with a one at the end (of infinity)"
There is no end of infinity! That's the whole point. There isn't a one at the end because THERE IS NO END.
For purely theoretical math, yes, 0.999... is EXACTLY equal to 1. It's no different than writing 2/2 or cos(0) or 3*5/15. It's exactly equal to 1.
>>60
You're talking about mathematical rigour? That's laughable. Find me a mathematician on the planet who thinks 0.999... is not 1, and I'll give you my first born son.
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Anonymous2006-06-02 1:19
>>50
Uhh, the real number line is continuous, so the limit of x at any point is equal to x. Since the limit of 0.999... is 1, then 0.999... = 1.
In other words, you just proved yourself wrong. Congratulations.
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Anonymous2006-06-02 1:48
>>34
There are no fractions in physics? Are you high?
Example 1 of 10983758302098373856563924: electrons have spin 1/2.
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Anonymous2006-06-02 2:05
This is way totally something worth getting yr panties all in a bunch over because it has so many real world practical applications.
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Anonymous2006-06-02 2:21
You all fail. 0.999... isn't 1 and no amount of whining and false analogies will make it so.
I expect that child to be airmailed to me ASAP. And don't forget to insure it. On the off chance that it's not white, only ship me its heart (sacrificial reasons).
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Anonymous2006-06-02 2:31
n = 0.9999...
10n = 9.9999...
9n = 9
n = 1
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Anonymous2006-06-02 4:05
i think your math is flawed
n= .999999...
10n=9.999999....
9n=8.99999999....and infinity of nines ....9999991
n= .99999999...
n does not = 1
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Anonymous2006-06-02 6:24 (sage)
>>67 Abraham Robinson
lolol
I think you're getting your systems mixed up here, genius!
>>69
Read this again: There is no end of infinity! That's the whole point. There isn't a one at the end because THERE IS NO END.
You are a bad loser. At least admit defeat with a shred of dignity.
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Anonymous2006-06-02 6:51
>>71 You wouldn't know dignity if it beat Super Mario Bros. in 5 minutes and 47 seconds.
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Anonymous2006-06-02 6:58 (sage)
>>71
I'm not even the guy who he'd been talking to. I just found his bringing up of nonstandard analysis hilarious.
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Anonymous2006-06-02 9:26
>>65
Let's not forget
a) pi, e, and every other mathematical constant
b) h, c, and every other physical constant
lollerwaffles
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Anonymous2006-06-02 9:36
>>67
Way to fail. Abraham Robinson was not dealing with numbers you fucking tard. He was performing analysis on hyperreals; he defined things in sequences. Guess what, if you convert a hyperreal to ACTUAL NUMBERS, you get zero, which means 0.999... = 1. Another tard who proved himself wrong. Congratulations.
Learn some fucking a) basic calculus, b) set theory, and c) group theory, and then stop trying to apply random concepts to the real number line.
I can't believe how fucking stupid everyone is. This is like an argument on religion. You can throw away pages and pages of mathematical proofs, but you read a random piece of nonstandard math that doesn't even apply to real numbers, and you fucking cling to it like a security blanket.
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Anonymous2006-06-02 9:39
>>69
>9n=8.99999999....and infinity of nines ....9999991
I think YOUR math is flawed. You just put a last number on your decimal expansion there pal. The number has to end in "...", that's the whole point. What is so complicated here?
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Anonymous2006-06-02 9:45
>>74
Not to mention the fact that trancendentals (due to radicals) and imaginary numbers (anything in wave analysis, such as electrodynamics or quantum mechanics) are also everywhere in physics.
Immesureable fail on the integer physics there bub.
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Anonymous2006-06-02 12:18
>>65
Don't forget, quarks have a charge of either -1/3 or 2/3.
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Styrofoam2006-06-03 2:43
I think the guy who said there are no fractions in physics was confused by quanta. Still, it's pretty stupid.
Also, I'm going to say it again because people don't seem to be getting it: You can't have "an infinite number of zeros (or nines) and then a one." There is no fucking end of infinity. If you want to stick a one after an infinite strings of zeros, start running to the end of this infinite line. When you get there, you'll have proven me wrong. And you had better start now; infinity is a long way to run.
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Anonymous2006-06-03 2:53
1/3 != .33333... it is just the closest representation that this stupid arab number system can give us. down with it i say