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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 5, 2012 11:53 PM
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In article
<23c18ea7-2c26-4467-9475-a67f153d8bd5@jj5g2000pbc.googlegroups.com>,
"Ross A. Finlayson" <ross.finlayson@gmail.com> wrote:

> On Dec 4, 1:22 pm, Virgil <vir...@ligriv.com> wrote:
> > In article
> > <42cabcca-089d-456f-837a-c1d789bda...@jj5g2000pbc.googlegroups.com>,
> >  "Ross A. Finlayson" <ross.finlay...@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.
> > --

>
>
> EF_d(n) = n/d, and EF = EF_oo.


From which EF_d(n) < EF_d(n+1) whenever n < d < oo.

So for which n in |N, if any, is Ef(n) < EF(n+1)?

EF_n(n) = 1 for all n in |N, so is EF_oo(oo) = 1 ?

Ross has left too many unanswered questions about the nature of his
alleged EF for it to be anything useful.
>
>
> It does work: n+1 > n => (n+1)/m > n/m, for non-negative m, n. There
> is a constant monotonic difference between each EF(n) and EF(n+1), for
> example where zero is less than one, in trichotomy of the integers.
> Standardly in the limit EF(0) = 0 and lim_n->d EF(n) = 1. The
> constant monotonic differences sum to one. (The limit is the sum.)


Which limit is which sum? A if anyone cares.
>
> And yes, we're all aware that lim_d->oo n/d = 0, and also that n+1 > n
> => (n+1)/d > n/d, for all positive n, d (d strictly). Then, It is
> simply via symmetry, that the range of EF is [0,1] and the range of
> the complementary or reverse EF is [1,0], that they cross at 1/2,
> their average, constant over all values.


If you could only make your nonsense funny, it might be worth something,
but as it is, dull as dishwater and corrupted by internal
contradictions, it is merely boring.
--




Date Subject Author
11/25/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
11/25/12
Read Re: Cantor's first proof in DETAILS
Virgil
11/25/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
11/25/12
Read Re: Cantor's first proof in DETAILS
Graham Cooper
11/25/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
11/25/12
Read Re: Cantor's first proof in DETAILS
Virgil
11/25/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
11/26/12
Read Re: Cantor's first proof in DETAILS
Virgil
11/26/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
11/26/12
Read Re: Cantor's first proof in DETAILS
Virgil
11/26/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
11/26/12
Read Re: Cantor's first proof in DETAILS
Virgil
11/27/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
11/27/12
Read Re: Cantor's first proof in DETAILS
Virgil
11/27/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
11/27/12
Read Re: Cantor's first proof in DETAILS
Virgil
11/27/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
11/28/12
Read Re: Cantor's first proof in DETAILS
Virgil
11/28/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
11/28/12
Read Re: Cantor's first proof in DETAILS
Virgil
11/28/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
11/28/12
Read Re: Cantor's first proof in DETAILS
Virgil
11/29/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
11/29/12
Read Re: Cantor's first proof in DETAILS
Virgil
11/29/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
11/30/12
Read Re: Cantor's first proof in DETAILS
Virgil
11/30/12
Read Re: Cantor's first proof in DETAILS
FredJeffries@gmail.com
11/30/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
11/30/12
Read Re: Cantor's first proof in DETAILS
FredJeffries@gmail.com
11/30/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
12/1/12
Read Re: Cantor's first proof in DETAILS
Virgil
11/30/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
12/1/12
Read Re: Cantor's first proof in DETAILS
Virgil
12/1/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
12/1/12
Read Re: Cantor's first proof in DETAILS
Virgil
12/1/12
Read Re: Cantor's first proof in DETAILS
FredJeffries@gmail.com
12/1/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
12/1/12
Read Re: Cantor's first proof in DETAILS
Virgil
12/2/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
12/2/12
Read Re: Cantor's first proof in DETAILS
Virgil
12/2/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
12/2/12
Read Re: Cantor's first proof in DETAILS
Virgil
12/3/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
12/3/12
Read Re: Cantor's first proof in DETAILS
Virgil
12/3/12
Read Re: Cantor's first proof in DETAILS
Virgil
12/3/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
12/3/12
Read Re: Cantor's first proof in DETAILS
Virgil
12/3/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
12/4/12
Read Re: Ross' Delusions re his EF.
Virgil
12/4/12
Read Re: Ross' Delusions re his EF.
ross.finlayson@gmail.com
12/4/12
Read Re: Ross' Delusions re his EF.
Virgil
12/4/12
Read Cantor's first proof in DETAILS
ross.finlayson@gmail.com
12/4/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
12/4/12
Read Re: Cantor's first proof in DETAILS
Virgil
12/4/12
Read Re: Cantor's first proof in DETAILS
Virgil
12/4/12
Read Re: Cantor's first proof in DETAILS
Virgil
12/5/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
12/6/12
Read Re: Cantor's first proof in DETAILS
Virgil
12/7/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
12/7/12
Read Re: Cantor's first proof in DETAILS
Virgil
12/8/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
12/9/12
Read Re: Cantor's first proof in DETAILS
Virgil
12/9/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
12/9/12
Read Re: Cantor's first proof in DETAILS
Virgil
12/9/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
12/9/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
12/9/12
Read Re: Cantor's first proof in DETAILS
Virgil
12/9/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
12/9/12
Read Re: Cantor's first proof in DETAILS
Virgil
12/9/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
12/9/12
Read Re: Cantor's first proof in DETAILS
Virgil
12/9/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
12/10/12
Read Re: Cantor's first proof in DETAILS
Virgil
12/10/12
Read Re: Cantor's first proof in DETAILS
12/4/12
Read Re: Cantor's first proof in DETAILS
Virgil
12/5/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
12/5/12
Read Re: Cantor's first proof in DETAILS
Virgil
11/30/12
Read Re: Cantor's first proof in DETAILS
Virgil
11/25/12
Read Re: Cantor's first proof in DETAILS
Graham Cooper
11/25/12
Read Re: Cantor's first proof in DETAILS
Virgil
11/25/12
Read Re: Cantor's first proof in DETAILS
ross.finlayson@gmail.com
11/25/12
Read Re: Cantor's first proof in DETAILS
Virgil

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