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Topic: Cantor's first proof in DETAILS
Replies: 85   Last Post: Dec 10, 2012 7:23 AM

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 Virgil Posts: 8,833 Registered: 1/6/11
Re: Cantor's first proof in DETAILS
Posted: Dec 4, 2012 4:22 PM

In article
"Ross A. Finlayson" <ross.finlayson@gmail.com> wrote:

> And, m > n implies EF(m) > EF(n), because here m > n. It is true,
> that. The functions there modeling it are all constant monotone
> increasing, and they all go to one.

IN your origin definitions, you had EF_n(m) = 1/n, for 1 <= m <= n,
so that SUM_(x=1..n) EF_n(x) = 1, for all n and then defined you EF()
also the limit function of the EF_n() as n -> oo.

That did not work then and does not work now.
--

Date Subject Author
11/25/12 ross.finlayson@gmail.com
11/25/12 Virgil
11/25/12 ross.finlayson@gmail.com
11/25/12 Graham Cooper
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11/25/12 Virgil
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11/29/12 ross.finlayson@gmail.com
11/29/12 Virgil
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11/30/12 Virgil
11/30/12 FredJeffries@gmail.com
11/30/12 ross.finlayson@gmail.com
11/30/12 FredJeffries@gmail.com
11/30/12 ross.finlayson@gmail.com
12/1/12 Virgil
11/30/12 ross.finlayson@gmail.com
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12/1/12 ross.finlayson@gmail.com
12/1/12 Virgil
12/1/12 FredJeffries@gmail.com
12/1/12 ross.finlayson@gmail.com
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12/5/12 ross.finlayson@gmail.com
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11/30/12 Virgil
11/25/12 Graham Cooper
11/25/12 Virgil
11/25/12 ross.finlayson@gmail.com
11/25/12 Virgil