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Apr 27 2010 04:55am
Quote (Viona @ Apr 27 2010 01:14pm)
you guys don't understand the fact that these numbers are recurring. 0.99999... doesn't stop, it's continues with 9s all the way. if it was 0.99999 without the recurring part, then it wouldn't be 1. but it's simple a law in maths that 0.9999999(9) = 1


Oh, you are so wrong. Now don't take it personally please :)

0.99999 does not equal 1

0.9(9) also does not equal 1
Proof: 0.9(9) means that the number 9 keeps repeating itself, right? Like 0.9999999999.... and so on. But no matter how many 9's there are, the number will never reach 1. Like if you keep dividing the same number by two, it will never ever ever reach 0, no matter how small the number becomes. Same is here - no matter how close the number 0.9999(9) is to 1, it will never equal one.

EDIT: Now, if you include limitsto the whole picture things will start making more sense.
http://en.wikipedia.org/wiki/Limit_%28mathematics%29

This post was edited by thefarmstudio on Apr 27 2010 05:00am
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Apr 27 2010 05:15am
I think the lesson that we've learned is that the OP is a tool. From what I read on the first page (because there's no way I'm reading 20+ pages of bullshit) he doesn't even have a basic understanding of calculus, or else he would've used a limit argument rather than the ridiculous and completely incorrect bullshit he pulled out of his hat.

Oh, wait I know. Let's just pretend that the sky is NOT blue, that the Earth is NOT a spheroid, and that you're NOT a moron. Or we could just move on with life.

And besides, there are really much more interesting proofs to be made.
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Apr 27 2010 05:18am
True, math is really interesting, to me at least.
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Apr 27 2010 05:36am
Quote (thefarmstudio @ Apr 27 2010 12:55pm)
Oh, you are so wrong. Now don't take it personally please :)

0.99999 does not equal 1

0.9(9) also does not equal 1
Proof: 0.9(9) means that the number 9 keeps repeating itself, right? Like 0.9999999999.... and so on. But no matter how many 9's there are, the number will never reach 1. Like if you keep dividing the same number by two, it will never ever ever reach 0, no matter how small the number becomes. Same is here - no matter how close the number 0.9999(9) is to 1, it will never equal one.

EDIT: Now, if you include limitsto the whole picture things will start making more sense.
http://en.wikipedia.org/wiki/Limit_%28mathematics%29


really? prove what you say by giving me the answer to this:

1 - 0.9(9) = ?

i can help you: the "?" is an infinitely small number, because you expect it to be 0.000....00001, with an infinite number of 0s. infinitely small positive numbers are sometimes referred to as 0. hence:

1 - 0.9(9) = 0
or:
1 = 0.9(9)

if you can prove that my logic is wrong, then you win. else, i win :)
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Apr 27 2010 05:43am
Quote (Viona @ 27 Apr 2010 12:36)
really? prove what you say by giving me the answer to this:

1 - 0.9(9) = ?

i can help you: the "?" is an infinitely small number, because you expect it to be 0.000....00001, with an infinite number of 0s. infinitely small positive numbers are sometimes referred to as 0. hence:

1 - 0.9(9) = 0
or:
1 = 0.9(9)

if you can prove that my logic is wrong, then you win. else, i win :)


that 0.00...001 does not equal zero, but gets closer and closer to it with every 0 added.
only when expressed with limits it can "reach" zero.
winrar
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Apr 27 2010 06:24am
Quote (Overlord6606 @ Apr 27 2010 01:43pm)
that 0.00...001 does not equal zero, but gets closer and closer to it with every 0 added.
only when expressed with limits it can "reach" zero.
winrar


it actually is zero, you can calculate that with limits. it's not like limits give an incomplete or incorrect answer to things... 1/n = 0 when n is infinitely big
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Apr 27 2010 10:36am
When you clap with your hands they touch each other, right? Well, actually they don't because there is always some distance between the atoms. Although it's incomprehesively small distance, it's there and the hands never touch each other.

Same with numbers - 0.9(9) is damn close to 1, but it does not equal 1. Sure you can approximate it with 1 and make reasonably accurate calculations with that, but still, for the sake of this discussion, the number is 0.9(9), and not 1. The infinitely small difference between these numbers makes you think that you can ignore it. Well, sometimes yes and sometimes not.

Oh and btw, please let's not reinvent the wheel here. If you proove me that two different numbers are equal to each other, say 1 is equal to 2, then I believe you and I send you all my fg (no matter how infinitely small number that might be).

lol.
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Apr 27 2010 10:50am
In general, you can't extend arguments from the finite to the infinite. So the whole, 0.9 =/=1 , 0.99 =/=1 ... argument doesn't disprove 0.999...=1
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Apr 27 2010 10:52am
At this point anyone who asserts it's not equal is a troll.

This thread has 25 pages; go over them if you're still not convinced.
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Apr 27 2010 11:03am
Quote (infinitesimal @ Apr 27 2010 04:52pm)
At this point anyone who asserts it's not equal is a troll.

This thread has 25 pages; go over them if you're still not convinced.


25 = troll ?
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