Re: Review of Mueckenheims book.



Mike Kelly wrote:
On 18 Mar, 15:51, Tony Orlow <t...@xxxxxxxxxxxxx> wrote:
Virgil wrote:
In article <45fc8...@xxxxxxxxxxxxxxxxxxx>,
Tony Orlow <t...@xxxxxxxxxxxxx> wrote:
cbr...@xxxxxxxxxxxxxxxxx wrote:
On Mar 17, 8:59 am, Tony Orlow <t...@xxxxxxxxxxxxx> wrote:
cbr...@xxxxxxxxxxxxxxxxx wrote:
On Mar 13, 9:22 am, Tony Orlow <t...@xxxxxxxxxxxxx> wrote:
<snip>
In a countable set, there are only a finite number
of elements between any two specific elements.
Counterexample: The set of rationals in [0,1] is a countable set, and
there are an infinite number of elements between any two distinct
elements of that set.
Not in the order in which they are countable.
<snip>
Does TO mean to suggest that there is a linear ordering which makes them
uncountable?
The question of the size of the set of rationals is a little more
complicated than that.

What I have said is that there are sequences which are uncountable.

Under what definition of sequence?

--
mike.


Under the definition of the Peano set, basically.
.



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