Uirgil
Posts:
181
Registered:
4/18/12
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Re: Cantor's first proof in DETAILS
Posted:
Nov 12, 2012 5:09 PM
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In article <k7reln$sas$1@dont-email.me>, "LudovicoVan" <julio@diegidio.name> wrote:
> "LudovicoVan" <julio@diegidio.name> wrote in message > news:k7rehn$rci$1@dont-email.me... > > "Zuhair" <zaljohar@gmail.com> wrote in message > > news:86a85cce-2a84-4c9f-b860-527958274b50@o8g2000yqh.googlegroups.com... > > > >> Let a_0 = x_0 > >> Let b_0 be the first entry in (x_n) such that b_0 > a_0. > >> Let a_i+1 be the first entry in (x_n) such that a_i < a_i+1 < b_i. > >> Let b_i+1 be the first entry in (x_n) such that a_i+1 < b_i+1 < b_i. > > > > In Cantor's proof a_{i+1} and b_{i+1} are the two first entries > > encountered > > That should read: a_{i+1} and b_{i+1} are the first two entries... > > -LV
Zuhair's method works quite as well as Cantor's.
At least for those who can understand them.
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