1 + 2 + 3 + 4 + 5 + ... = -1/12
- Lykeios Little Raven
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10 years 3 months ago - 10 years 3 months ago #133822
by Lykeios Little Raven
“Now I do not know whether I was then a man dreaming I was a butterfly, or whether I am now a butterfly, dreaming I am a man.” -Zhuangzi
“Though, as the crusade presses on, I find myself altogether incapable of staying here in saftey while others shed their blood for such a noble and just cause. For surely must the Almighty be with us even in the sundering of our nation. Our fight is for freedom, for liberty, and for all the principles upon which that aforementioned nation was built.” - Patrick “Madman of Galway” O'Dell
Replied by Lykeios Little Raven on topic 1 + 2 + 3 + 4 + 5 + ... = -1/12
It already has. Love ya brotherXsisterSBr. John wrote: Maybe OMNI will throw us a bone and make copies for everybody.
“Now I do not know whether I was then a man dreaming I was a butterfly, or whether I am now a butterfly, dreaming I am a man.” -Zhuangzi
“Though, as the crusade presses on, I find myself altogether incapable of staying here in saftey while others shed their blood for such a noble and just cause. For surely must the Almighty be with us even in the sundering of our nation. Our fight is for freedom, for liberty, and for all the principles upon which that aforementioned nation was built.” - Patrick “Madman of Galway” O'Dell
Last edit: 10 years 3 months ago by Lykeios Little Raven.
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10 years 3 months ago - 10 years 3 months ago #134001
by ren
He doesn't prove that. What he discusses is "counting infinity". Natural numbers are countable. real numbers (except for the infinite "few" that are naturals) are not countable.
In fact, all the real numbers between 0 and 1 (which have a decimal representation) can have an "equivalent" natural number... that's how computers actually "write" numbers (in memory). And the notation is generally shorter:
0.00165432 has 23456100
if you take any real, the same can be done:
345.6789 becomes 9876543
For sumbers with no decimal representation it's a bit complicated because there is to my knowledge no way in maths to represent an infinite natural number. But in programming it is possible.
Convictions are more dangerous foes of truth than lies.
Replied by ren on topic 1 + 2 + 3 + 4 + 5 + ... = -1/12
Br. John wrote: They show here there are not more numbers between 0 through 2 than there are between 0 through 1; they're the same. But there are more numbers between 0 through 1 than there are of all positive integers. 1,2,3,4,5 ... .
He doesn't prove that. What he discusses is "counting infinity". Natural numbers are countable. real numbers (except for the infinite "few" that are naturals) are not countable.
In fact, all the real numbers between 0 and 1 (which have a decimal representation) can have an "equivalent" natural number... that's how computers actually "write" numbers (in memory). And the notation is generally shorter:
0.00165432 has 23456100
if you take any real, the same can be done:
345.6789 becomes 9876543
For sumbers with no decimal representation it's a bit complicated because there is to my knowledge no way in maths to represent an infinite natural number. But in programming it is possible.
Convictions are more dangerous foes of truth than lies.
Last edit: 10 years 3 months ago by ren.
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10 years 3 months ago #134024
by Gisteron
Better to leave questions unanswered than answers unquestioned
Replied by Gisteron on topic 1 + 2 + 3 + 4 + 5 + ... = -1/12
http://www.youtube.com/watch?v=v-pyuaThp-c
Better to leave questions unanswered than answers unquestioned
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