Re: Review of Mueckenheims book.

In article <1174168639.828402.146850@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
mueckenh@xxxxxxxxxxxxxxxxx wrote:

On 17 Mrz., 20:27, "William Hughes" <wpihug...@xxxxxxxxxxx> wrote:
On Mar 17, 2:16 pm, mueck...@xxxxxxxxxxxxxxxxx wrote:

On 17 Mrz., 16:12, "William Hughes" <wpihug...@xxxxxxxxxxx> wrote:

On Mar 17, 9:18 am, mueck...@xxxxxxxxxxxxxxxxx wrote:

How about

4.1 Each element of P_I corresponds to an endless sequence of
elements of P_F

<snip>

[No, I will not agree to that]

How about

4.2 Each element of P_I corresponds to a sequence of
elements of P_F

If "what the projection does" with an element of P_I and with the
corresponding sequence of elements of P_F is the same, then it could
be that you are right. It is not necessarily so, but it could not be
excluded.

If "what the projection does" with an element of P_I and with the
corresponding sequence of elements of P_F is not the same, then there
must be a reason for this difference, or not?

Again: If WM(A) = WM(B)
Unless A and B are both ordered sets ordered in such a way as to have
the same last element, the equation WM proposes is nonsense.


Reason: If A = B ==> WM(A) = WM(B)

This is false unless both A and B /have/ last elements, which is often
not the case, particularly with infinite sets such as the sets of values
of increasing sequences.

Do you understand this logic?

What WM presents here is not logic anywhere outside of his own wierd
world.
.

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