- Jun 5, 2005
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Just when you thought it was safe to say that .99999999 != 1
Wiki decided to put it as their featured article. Maybe someone from ATOT suggested it
Link to .999 article
Originally posted by: randay
you should see the new plane takes off thread in HT.
Wikipedia can read minds! :QOriginally posted by: thesurge
Man... I was reading that article the other day and was like this should be featured.
Originally posted by: chambersc
I like the fraction proof, myself.
0.333? = 1/3
3 × 0.333? = 3 × 1/3
0.999? = 1
With the rise of the Internet, debates about 0.999? have escaped the classroom and are commonplace on newsgroups and message boards, including many that nominally have little to do with mathematics. In the newsgroup sci.math, arguing over 0.999? is a "popular sport", and it is one of the questions answered in its FAQ.[55] The FAQ briefly covers 1/3, multiplication by 10, and limits, and it alludes to Cauchy sequences as well.
A 2003 edition of the general-interest newspaper column The Straight Dope discusses 0.999? via 1/3 and limits, saying of misconceptions,
"The lower primate in us still resists, saying: .999~ doesn't really represent a number, then, but a process. To find a number we have to halt the process, at which point the .999~ = 1 thing falls apart.
Nonsense."[56]
The Straight Dope cites a discussion on its own message board that grew out of an unidentified "other message board ... mostly about video games". In the same vein, the question of 0.999? proved such a popular topic in the first seven years of Blizzard Entertainment's Battle.net forums that the company's president, Mike Morhaime, announced at an April 1, 2004 press conference that it is 1:
"We are very excited to close the book on this subject once and for all. We've witnessed the heartache and concern over whether .999~ does or does not equal 1, and we're proud that the following proof finally and conclusively addresses the issue for our customers."[57]
Blizzard's subsequent press release offers two proofs, based on limits and multiplication by 10.
Originally posted by: BoberFett
While the mathematical proofs can't be argued, people like DanOMGWTFBBQ who call others idiots for disagreeing should be slapped silly for being elitist, ignorant assholes. Perhaps it's you who should be insulted for not being able to fathom a concept like infinity?
Plot the point (.9, .9) on a graph. Then add another decimal and plot that point. Continue ad infinitum. At what point does the resulting line intersect the point (1,1)?
Oh, I just realized, DanOMGWTFBBQ probably still works with chubby crayons, so I'm sure (.9, .9) not only intersected with (1,1), but (0,0) and (2,2) as well.
I came for theOriginally posted by: yosuke188
Originally posted by: chambersc
I like the fraction proof, myself.
0.333? = 1/3
3 × 0.333? = 3 × 1/3
0.999? = 1
I always knew it by the algebra proof, but this works just as well
and I stayed for the0.333? = 1/3
3 × 0.333? = 3 × 1/3
0.999? = 1
x = 0.9999...
10x = 9.9999...
10x - x = 9.9999... - 0.9999...
9x = 9
x = 1.
Originally posted by: pray4mojo
Originally posted by: BoberFett
While the mathematical proofs can't be argued, people like DanOMGWTFBBQ who call others idiots for disagreeing should be slapped silly for being elitist, ignorant assholes. Perhaps it's you who should be insulted for not being able to fathom a concept like infinity?
Plot the point (.9, .9) on a graph. Then add another decimal and plot that point. Continue ad infinitum. At what point does the resulting line intersect the point (1,1)?
Oh, I just realized, DanOMGWTFBBQ probably still works with chubby crayons, so I'm sure (.9, .9) not only intersected with (1,1), but (0,0) and (2,2) as well.
not too sure what you mean but if you mean plot (.9,.9) then (.99,.99) then (,999,,999) and so on, then yes it will intersect (1,1) when you do that an infinite amount of times.
Originally posted by: fs5
that article is going to be so defaced.
Originally posted by: BoberFett
While the mathematical proofs can't be argued, people like DanOMGWTFBBQ who call others idiots for disagreeing should be slapped silly for being elitist, ignorant assholes. Perhaps it's you who should be insulted for not being able to fathom a concept like infinity?
Plot the point (.9, .9) on a graph. Then add another decimal and plot that point. Continue ad infinitum. At what point does the resulting line intersect the point (1,1)?
Oh, I just realized, DanOMGWTFBBQ probably still works with chubby crayons, so I'm sure (.9, .9) not only intersected with (1,1), but (0,0) and (2,2) as well.
Instead of "intersect" I would say "reach", but anyway, by doing that you can't get 0.999... because the number of times you draw the next point is countable.Originally posted by: BoberFett
Originally posted by: pray4mojo
Originally posted by: BoberFett
While the mathematical proofs can't be argued, people like DanOMGWTFBBQ who call others idiots for disagreeing should be slapped silly for being elitist, ignorant assholes. Perhaps it's you who should be insulted for not being able to fathom a concept like infinity?
Plot the point (.9, .9) on a graph. Then add another decimal and plot that point. Continue ad infinitum. At what point does the resulting line intersect the point (1,1)?
Oh, I just realized, DanOMGWTFBBQ probably still works with chubby crayons, so I'm sure (.9, .9) not only intersected with (1,1), but (0,0) and (2,2) as well.
not too sure what you mean but if you mean plot (.9,.9) then (.99,.99) then (,999,,999) and so on, then yes it will intersect (1,1) when you do that an infinite amount of times.
It will? If you keep zooming in further and further the two will intersect? Not logically.
Originally posted by: rocadelpunk
what's wrong with a correct article?
The only reason why there would be any dispute is between those who know math/definitions/set building and those who don't.
Originally posted by: TheoPetro
Originally posted by: randay
you should see the new plane takes off thread in HT.
that makes me sick. Anyone saying it doesnt needs to be locked out of HT FOREVER. Atleast so they cant post.
Originally posted by: spidey07
Originally posted by: TheoPetro
Originally posted by: randay
you should see the new plane takes off thread in HT.
that makes me sick. Anyone saying it doesnt needs to be locked out of HT FOREVER. Atleast so they cant post.
Given the facts of that problem means the plane never takes off.
I really don't see why this is so difficult for folks to understand.
Originally posted by: yosuke188
Originally posted by: chambersc
I like the fraction proof, myself.
0.333? = 1/3
3 × 0.333? = 3 × 1/3
0.999? = 1
I always knew it by the algebra proof, but this works just as well