comp.sys.mac.advocacy

"Wally" stated in post
C41D514B.1A6DA%Wally@wally.world.net on 4/5/08 12:54 AM:

>> * You were flat out wrong to say {0} was a subset of integers 1-10 and
>> to make your associated comments which I have quoted repeatedly.
>
> I never did say that Snit! I initially offered an opinion which may well not
> have been a valid one,

Do you now admit the following comments of yours were incorrect:

Snit:
S2, the set:
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
...
I have noted that a subset can have zero items (be an
empty set), such as a subset of items in the above set
with the "feature" of being over 1000. There are no
such numbers and thus the subset of S2 numbers that
are over 1000 = {}.
Wally:
I would have thought {0}?

Snit:
In the example I gave there were a number of positive
integers, each under 100. I talked about the subset of
numbers from that set that were over 1000.
Wally:
And the number of those positive integers that were over 1000
was 0 therefore the subset must reflect that fact and not
simply be empty!

the subset in question must by definition contain information
that relates directly to the set that it is derived from even
if as in your example it is that 0 elements of the set are
over 1000!

I gave a clear example as to when a subset with 0 elements
would not actually be empty as you claimed that it would!

But zero items does not necessarily translate to being empty
as you have said it would!

your delusion is that something that owes its very existence
to the fact that it contains information can in fact be
...empty!

whether it is written {} or {0} has no significance wrt what
the answer actually is

it makes no difference if you write {} and I write {0}
because the meaning is exactly the same ...0 elements!

Now research why a "subset" cannot be "empty"

And do you now admit you were completely wrong when you claimed:

Wally:
You are clearly differentiating between "zero" and "0"

Snit:
{}, a set with zero elements, the empty set
{0}, a set with one element, a set with the element zero
Wally:
Your quotes speak for themselves...the fact that you wish to
redefine them is noted!

If so then you will show you have a bit more integrity than I have been
giving you credit for. I would love to be wrong!


--
Never stand between a dog and the hydrant. - John Peers