Re: Cantor Confusion


mueckenh@xxxxxxxxxxxxxxxxx wrote:
Tonico schrieb:

Han de Bruijn wrote:
Tonico wrote:

Han de Bruijn ha escrito:

Wishful thinking on the part of William Hughes. A simple Google search
will reveal that the army of 'sci.math' dissidents is steadily growing.

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Zaas! Dissidents...from sci.math???? Didn't know somebody already
formed a political or social or economical or
whatever-that-isn't-science group called sci.math, and that it already
has its dissidents! Perhaps Han means people that insist in talking
about mathematics with some mathematicians from a non-mathematical
point of view and without knowing mathematics? People that attack
mathematicians and even mathematics (go figure!) when someone dares to
point out some mathematical mistake in some nonsense that THEY say is
correct IN SPITE of evidence in contrary?

One cannot speak of correct with a mathematics that is a non-discipline
and gives non-discplinary answers to ill-posed questions like this one:

http://huizen.dto.tudelft.nl/deBruijn/grondig/natural.htm#bv

Zero balls at noon? Carl Friedrich Gauss would have turned in his grave.

Han de Bruijn

**************************************************
For what we know, I think dead people don't turn in their grave, or
anywhere else for that matter. I agree though that the balls-vase-noon
is a question ill-posed but with possibilities to be pretty interesting
and deep into understanding some aspects of infinity and stuff.
I'd rather pose the next thinker.
Supose X is a person that never dies, and when he's 50,000 years old
he begins writing his autobiography


That is not far from the story of Tristram Shandy.

in a rather peculiar way: every day
after his 50,000-th birthday he writes down one day of his life,
beginning with his first day of life. The question is: does X write
down ALL the days of his life in this autobiography? Pay attention: I
am not asking whether there will ever be a book containing all the days
of X's life, but rather whether there will exist some pages written by
X describing the events of some given day of his life, for EVERY
singled out day of X's life...?

Why do you think this question be more important or interesting than
the other?
But the answer is easy: He never writes down the next day, where "next"
is a number like "omega".




Since the question never mentions a "next day", you answer does
not address the question. Try again.

Will there exist some pages written by
X describing the events of some given day of his life, for EVERY
singled out day of X's life?


Note that "omega" is not a day of X's life, so an answer about
"omega" will not answer the question.



- William Hughes

.

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