Virgil
Posts:
8,833
Registered:
1/6/11
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Re: Matheology � 263
Posted:
May 17, 2013 8:47 PM
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In article <38a76ce0-667e-4617-80a2-a8ab35decf0b@wg15g2000pbb.googlegroups.com>, Graham Cooper <grahamcooper7@gmail.com> wrote:
> On May 18, 10:34 am, Virgil <vir...@ligriv.com> wrote: > > In article > > <ca34a387-11e5-477f-9115-f5a1ce2fd...@qz2g2000pbb.googlegroups.com>, > > Graham Cooper <grahamcoop...@gmail.com> wrote: > > > > > > > > > > > > > > > > > > > > > > Cantors does not say that there is no more than one such set, he just > > > > said that there is at least one, and I have provided at least one, in > > > > fact uncountably many of them. > > > > > I want to see the FORMULA > > > > > { n | n ~e f(n) } > > > > > WORK ON > > > > > f(1) = { 1 , 3 , 6 } > > > f(2) = { 1 , 5 , 11 } > > > f(3) = { 2 , 4 , 6 , 8 , 10 } > > > f(4) = { 4 , 5 , 6 , 7 , 8 } > > > > > f(n) = N | n>4 > > > > > ALL VALUES OF f() ARE SPECIFIED. > > > > > ---------- > > > > > Does your favorite Cantors formula > > > > It is not my formula at all, but Cantor's > > > > > > > > > S = { n | n ~e f(n) } > > > > > WORK on the GIVEN f ? > > > > > If it does - WHAT IS S ? > > For the given f, ask yourself: > > Is 1 in f(1)? YES > Is 2 in f(2)? NO > Is 3 in f(3)? NO > Is 4 in f(4)? YES > Is n in f(n) for n > 4? YES to ALL > > > And then work out which will be in { n in |N : ~ n in f(n) }. > > > > I get S = { 2 , 3 } > > S = { x | x ~e f(x) } > > f(1) = { 1 , 3 , 6 } > f(2) = { 1 , 5 , 11 } > f(3) = { 2 , 4 , 6 , 8 , 10 } > f(4) = { 4 , 5 , 6 , 7 , 8 } > f(n) = N | n>4 > > > You took 5 days and still couldn't calculate Cantors Missing Set.
Actually I posted that set long ago, but you were to dumb to realize what it was. --
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