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say f:N->R is a mapping from the natural numbers to the rational

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  3. say f:N->R is a mapping from the natural numbers to the rational
Thread replies: 10
Thread images: 2

Anonymous
2017-03-03 04:43:54 Post No. 8717962
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Anonymous 2017-03-03 04:43:54 Post No. 8717962 [Report]
say f:N->R is a mapping from the natural numbers to the rational numbers in [0, 1]. does the infinite sum from 0 of f(n) converge?
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Anonymous 2017-03-03 04:44:33 Post No.8717963
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Anonymous 2017-03-03 04:44:33 Post No.8717963 [Report]
i meant a bijection, not only a mapping
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Anonymous 2017-03-03 04:47:12 Post No.8717968
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Anonymous 2017-03-03 04:47:12 Post No.8717968 [Report]
I would assume not, there is probably a conflicking rules proof you can make to prove it. Like why is 1^infinity undefined kind of thing
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Anonymous 2017-03-03 04:48:18 Post No.8717972
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Anonymous 2017-03-03 04:48:18 Post No.8717972 [Report]
>>8717968
Conflicting*
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Anonymous 2017-03-03 04:49:58 Post No.8717973
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Anonymous 2017-03-03 04:49:58 Post No.8717973 [Report]
>>8717962
in other words, is the sum of all rational numbers between 0 and 1 finite? the answer is no, because the sum must exceed 1/2+1/3+1/4+...
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Anonymous 2017-03-03 04:51:53 Post No.8717978
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Anonymous 2017-03-03 04:51:53 Post No.8717978 [Report]
>>8717973
of course. thanks
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Anonymous 2017-03-03 04:52:56 Post No.8717980
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Anonymous 2017-03-03 04:52:56 Post No.8717980 [Report]
>>8717978
no problem m8
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Anonymous 2017-03-03 04:53:40 Post No.8717982
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Anonymous 2017-03-03 04:53:40 Post No.8717982 [Report]
>>8717973
Wouldn't the sum of all rational numbers between 0 and 1 be 2?

Not trying to start a 0.99999 equal 1 thread or anything but the sum of rational numbers would be 1 and all the rational numbers between 1.
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Anonymous 2017-03-03 04:55:43 Post No.8717985
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Anonymous 2017-03-03 04:55:43 Post No.8717985 [Report]
>>8717982
0.9+0.8+0.7 > 2
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Anonymous 2017-03-03 05:07:59 Post No.8718012
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Anonymous 2017-03-03 05:07:59 Post No.8718012 [Report]
>>8717985
ok yes nevermind sorry I am inbred retard brainlet
Thread posts: 10
Thread images: 2
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