LudovicoVan
Posts:
3,008
From:
London
Registered:
2/8/08
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Re: Peer-reviewed arguments against Cantor Diagonalization
Posted:
Oct 29, 2012 11:56 PM
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"Peter Webb" <webbfamilyDIEspamDie@optusnet.com.au> wrote in message
news:k6nfnq$dre$1@news.albasani.net...
> LudovicoVan wrote:
>> "Peter Webb" <webbfamilyDIEspamDie@optusnet.com.au> wrote in message
>> news:k6l6as$h0q$1@news.albasani.net...
>>
>> > As you haven't told us what "w" and "m" are supposed to be, or the
>> > rule that you are using to form the list, this cannot be done.
>>
>> Parrot, at least read bloody Cantor's argument before pontificating
>> your dogma.
>
> I have. And its not dogma.
But you have just asked what "w" and "m" are supposed to mean, remember?
That's why I call you (and co., don't take it personally as it isn't)
parrots etc.: because you are just right, whatever kind of bollocks you
might say, in the end you are still right. By dogma, and the guns.
>> > If you think you have a list of all Reals, post it here, and I will
>> > happily prove its not a list of all Reals by finding a Real not on
>> > the list for you.
>>
>> But you can do no such thing: the anti-diagonal is just not a real
>> number.
>
> Of course it is a Real number. It is the limit of a Cauchy sequence.
> You do know that convergent Cauchy sequences define unique Reals, right?
>
> (I just bagged somebody for providing a proof of the anti-diagonal was
> Real using Cauchy sequences, on the basis that no crank disputes
> whether the anti-diagonal is Real. And then you prove me wrong by
> raising exactly this isuue).
Indeed, to be precise, you and co. excel in not even being wrong.
> So, where is your list of all the Reals?
The real numbers are a subset of the surreals. But I had said that already.
Of course they are countable: there just is no such thing as a number that
is not a number: a number is all we can do with it seriously (you won't get
this, but never mind).
Well, maybe it's not dogma, it's just that you cannot read... But no, I am
not optimistic about anybody's intellectual honesty around here: except
maybe for Prof. Magidin, who at least shows some good math.
-LV
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