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Joss Weatherby
kinda retired...



Registered: May 2008
Location: the boneyard
0.999...

http://en.wikipedia.org/wiki/0.999

Argued with a couple people about this today. Basically the idea is that in a real number system 0.9999999 with 9 extending for infinity, is equal to 1. They are the same number.

I understand the mathematical concept with real numbers, but I prefer the infinitesimal number system when it comes to this. I feel it is far more logical to assume that 0.999... never reaches 1, it just infinitely gets closer and closer, but never becomes 1. This I think is far more representative of physical world realities.

Any math people have any opinion on this?


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Old Post Jun-04-2012 05:25 
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OurManFlint
P(x) =



Registered: Feb 2004
Location: Seattle

I like the geometric series example when it comes to this. Basically
0.999...= 9/10 + (9/10)^2 + (9/10)^3 + .... = 9(1/10) / (1-(1/10)) = 1.

So 0.999... converges to 1. For all intents and purposes, any use of the real number system would use this, and would not treat both numbers as different.

Old Post Jun-04-2012 06:27  Mexico
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LAdazeNYnights
Crossing Swords



Registered: Nov 2009
Location: Los Angeles, CA

.333 + .666 = .999
1/3 + 2/3 = 3/3 = 1

you can't explain that.
science.

Old Post Jun-04-2012 06:58  United States
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Taipan
tranceaddict



Registered: Jan 2011
Location: New York

quote:
Originally posted by LAdazeNYnights
.333 + .666 = .999
1/3 + 2/3 = 3/3 = 1

you can't explain that.
science.


/thread.

Old Post Jun-04-2012 07:18  United States
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Joss Weatherby
kinda retired...



Registered: May 2008
Location: the boneyard

so what is 0.999...+0.999...?


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seriously, fuck off.

Old Post Jun-04-2012 08:19 
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Meat187
Diese scheiß Katze



Registered: Dec 2007
Location: The Night's Plutonian Shore


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Then stop coloring and visit Meat187's mix archive!

Old Post Jun-04-2012 08:30  Germany
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Blake
recovering tranceaddict



Registered: Mar 2005
Location: New York, New York

I might not have believed you a semester or so ago. The logicians who make up these rules are nuts


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Old Post Jun-04-2012 08:50  United States
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aquila
Champion Thread Killer



Registered: Feb 2005
Location: Mayfair

quote:
Originally posted by LAdazeNYnights
.333 + .666 = .999
1/3 + 2/3 = 3/3 = 1

you can't explain that.
science.


0.333 != 1/3
0.666 != 2/3


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Old Post Jun-04-2012 08:51 
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Taipan
tranceaddict



Registered: Jan 2011
Location: New York

quote:
Originally posted by Joss Weatherby
so what is 0.999...+0.999...?


1.999999999999 or 2

Old Post Jun-04-2012 08:56  United States
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Zharen
Put down the plate



Registered: Mar 2003
Location: I wonder what you taste like


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My first ebook: The Plastic Wilderness / 2010 prog/deep mix

Old Post Jun-04-2012 09:54  United States
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Marcus Summers
tranceaddict in training



Registered: Dec 2009
Location: Seoul

I stopped caring about numbers once I got an accountant.

Old Post Jun-04-2012 10:00  South Korea
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LAdazeNYnights
Crossing Swords



Registered: Nov 2009
Location: Los Angeles, CA

quote:
Originally posted by aquila
0.333 != 1/3
0.666 != 2/3


.3bar, or .3repeating = 1/3
.6bar, etc = 2/3
.9bar /= 3/3

techmology is wack

Old Post Jun-04-2012 14:13  United States
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