Re: Cantor For Dummies ...
- From: riderofgiraffes <mathforum.org_am@xxxxxxxxxxxxxx>
- Date: Wed, 28 Mar 2007 17:40:38 EDT
I'm sorry, but I can't understand the point you're
tryng to make. You seem to be writing a great deal,
and trying to explain something, but it never seems
to be relevant to what I've described.
What I've been saying is this:
I have an algorithm such that
If you have a algorithm for generating
a list of committees, then
my algorithm generates a committee
that your algorithm doesn't generate.
I don't have an algorithm. If we list all the
algorithms that generate a committee ... then
your algorithm is on that list.
This seems to be irrelevant, but I'll try to follow
what you say, and point out where I fall off.
In particular, let's do as you say and list all the
algorithms that generate a committee. My algorithm
is in fact not on that list. My algorithm does not
simply generate a committee. My algorithm takes a
list of committees and generates a committee not on
the list.
Do you agree that my algorithm does that?
Let's suppose that you meant that.
So let's suppose we take a list of all algorithms
that take a list of committees and from that list
generate a committee. Any committee, on the input
list or not.
Certainly my algorithm will be on that list of
algorithms.
The output of all those algorithms is unattainable,
but nevertheless, platonistically exists.
Well, now I'm struggling to understand what you mean
by that. Each of these algorithms takes a list of
committees, and you haven't told me what to feed them
as that input.
If you're saying that the committees don't need input,
then we're back to the situation that my algorithm is
then not one of them.
Your algorithm can't possibly operate on its own
output, ...
No, agreed. It doesn't try to, it doesn't have to.
My algorithm takes a list of committees and produces
one committee not on the list. What you're saying
doesn't appear to be relevant.
... so what you have been saying makes no sense.
You don't seem to have made clear what makes no sense.
I trust I've been able to explain why your reply
seems unclear to me, and I look forward to your
response.
.
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