Re: Cantor Confusion


mueckenh@xxxxxxxxxxxxxxxxx wrote:
William Hughes schrieb:


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.

Since your question does not address my question (the second sentence
was a joke) it remains your turn to try again:

Is there a day in X's life, such that less than 50,000 years remain to
be written?

No, of course not. This is pretty much the definition of immortal.

Why do you think this question be less important than yours?

I don't. What I do think is that the answer to

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?

follows immediately from the answer to the question " Is X
immortal".

And if
not, why do you think that it is meaningful to assert that X could
write about all his days?


Note the question was very carefully posed so it was not
"Can X write about all his days?", but "Can X write about
every single day?". The two questions are subtly different.
(Pretty much the difference between actual infinity, and
potential infinity). I do not draw a distinction between
the two questions, however, you do. The problem is that
while you can reject "Can X write about all his days?",
on the grounds that actual infinity does not exist, you cannot
reject "Can X write about every single day?" without also rejecting
potential infinity. If you do this you can claim that questions
that deal with infinity are meaningless, however, you cannot claim
that answers to such questions are wrong.

-William Hughes


Because X is immortal. There is no "eventually" that he will not
reach. So any

.

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