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May 21 2010 12:08am
Quote (Kamikizzle @ May 20 2010 11:07pm)
get out of here


I said /thread
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May 21 2010 12:10am
Quote (chone @ May 21 2010 12:13am)
I don't understand what you're asking. No, there's not an infinite number of zeros. 0.000...1 just straight up isn't a real number. You can't have "an infinite number of zeros" with a 1 *after* it.


Quote (chone @ May 20 2010 12:36pm)
Some number systems, like the hyperreasl or surreals or the Levi-Civita field, allow for the existence of infinitesimals. In these cases 0.000...1 may have meaning.
But we're in the reals, so...


k?

edit : +62

This post was edited by Taxidermy on May 21 2010 12:10am
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May 21 2010 12:19am
In cricket, there are 42 standard rules.
Anything that isn't covered by them is covered by the 43rd rule. Common sense.

Infinity is immeasurable.
But grab a ruler, look between 0 and 1cm.
How many numbers are there between them? Infinity

Next step is look between 1 and 2cm.
How many numbers are there between them? Infinity

Finally, looking between 0 and 2. We find that there is also infinity numbers between them.

Are each of these infinte numbers the same?

Using rule 43, common sense, of course they are not. 0-2 is bigger than 0-1.

Common sense also says that .99... does not equal 1, just the same as 99 does not equal 1.
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May 21 2010 12:34am
dude, i learned rounding in elementary school... .999...=1 by common sense. ejucation just iznt gud anymoor is it

edit : +63

This post was edited by Taxidermy on May 21 2010 12:34am
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May 21 2010 12:35am
Quote (ClarkeKent @ May 20 2010 11:19pm)
In cricket, there are 42 standard rules.
Anything that isn't covered by them is covered by the 43rd rule.  Common sense.

Infinity is immeasurable.
But grab a ruler, look between 0 and 1cm.
How many numbers are there between them?  Infinity

Next step is look between 1 and 2cm.
How many numbers are there between them?  Infinity

Finally, looking between 0 and 2.  We find that there is also infinity numbers between them.

Are each of these infinte numbers the same?

Using rule 43, common sense, of course they are not.  0-2 is bigger than 0-1.

Common sense also says that .99... does not equal 1, just the same as 99 does not equal 1.


according to whom?
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May 21 2010 12:38am
0.999 is the same distance from 1 as 1.111.
No matter how many 9's there are it will only get closer and closer to 1.
That is why they are 2 different numbers.
If they wanted to say 1 they would say 1 but they say 0.999 because it is a different number to 1.
It's like trying to round 0.666 to 0.67.
You can round it up to 1 but it's not exactly 1 because they are 2 different numbers.
Discussion ended.
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May 21 2010 12:44am
Quote (101009 @ May 20 2010 11:38pm)
0.999 is the same distance from 1 as 1.111.
No matter how many 9's there are it will only get closer and closer to 1.
That is why they are 2 different numbers.
If they wanted to say 1 they would say 1 but they say 0.999 because it is a different number to 1.
It's like trying to round 0.666 to 0.67.
You can round it up to 1 but it's not exactly 1 because they are 2 different numbers.
Discussion ended.
Please close this topic now.


wat

1-.999= .001
1.111-1=.111
thats not even with repeated digits
are you kidding me?
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May 21 2010 01:22am
maybe we should just kill stupid people...
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May 21 2010 01:38am
Quote (Taxidermy @ May 21 2010 06:10am)
k?

edit : +62


OH, lol, that. I wasn't even thinking about those examples because I really don't know much about them.
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May 21 2010 01:47am
Quote (ClarkeKent @ May 21 2010 06:19am)
In cricket, there are 42 standard rules.
Anything that isn't covered by them is covered by the 43rd rule.  Common sense.

Infinity is immeasurable.
But grab a ruler, look between 0 and 1cm.
How many numbers are there between them?  Infinity

Next step is look between 1 and 2cm.
How many numbers are there between them?  Infinity

Finally, looking between 0 and 2.  We find that there is also infinity numbers between them.

Are each of these infinte numbers the same?

Using rule 43, common sense, of course they are not.  0-2 is bigger than 0-1.

Common sense also says that .99... does not equal 1, just the same as 99 does not equal 1.


In the real numbers, the intervals (0,1) and (0, 2) are the exact same size. In fact they are the same size as the entire set of real numbers itself.
Common sense actually says that .999... does equal 1 O_O How much common sense does it take to answer this question: what number (or numbers) is between .999... and 1?
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