Re: tommy set theory / cantor simplified and corrected



mueckenh wrote :

On 28 Aug., 16:17, aatu.koskensi...@xxxxxxxxx wrote:
tommy1729 wrote:
even cantor doubted there were things like
aleph_2 or aleph_3 and assumed C = aleph_1

Very true. He was led to these doubts upon noticing
the diagonal
method is flawed as we can always just insert the
diagonal to the
list. Alas, "cantor" was too much of a coward to
publicly admit the
error his ways, singing all the way to the bank,
and thus we are left
with the swindle of set theory, sneakily rotting
the brains of poor
impressionable youths.

No, Cantor was not a coward.

proof ?

According to a report by
Kowalewski

thats no proof.


(which however is not confirmed in other sources)


not a coincidence of course.

[G.
Kowalewski:
Bestand und Wandel, 1950, p. 202]

by accidents fans of cantor ...


the following
happened after the
(erroneous) proof by Koenig: After the lecture Cantor
took the floor
with deep emotion. Among other things he thanked God
that he had the
privilege of living to see the refutation of his
errors.


refutations ...



Further Cantor emphasized that numbers which are not
finiteley
definable are nonsense (Letter to Hilbert, August
8,1906)


see the comment of aatu and me

it implies that aleph_2 and "_3 dont exist or are nonsence
by the diagonal argument.



If he had
recognized (as every modern scientist does) that most
uncountable
reals are of this kind, he would have withdrawn his
theory with no
doubt.

thats no proof , lol

if --> then maybe --> i assume ...

btw the reals are already definable so i dont agree with you and i wont waste time on thinking about " if's -> then's "



Aatu Koskensilta (aatu.koskensi...@xxxxxxxxx)

"Wovon man nicht sprechen kann, daruber muss man
schweigen"
- Ludwig Wittgenstein, Tractatus
Logico-Philosophicus

Why don't you quote Wittgenstein on set theory?

Regards, WM


despite we dont agree

regards
tommy1729
.



Relevant Pages

  • Re: JSH: Problem solving
    ... set theory was that it has no application at ... The problem of denumerability that Cantor ... so i guess the pointless babble was all on your behalf, since you dont even know what all the fuss was about. ... because many people flunked at math in their ...
    (sci.math)
  • Re: Cantor Confusion
    ... > nonsense to start counting by zero as is done in set theory. ... zeroest element or the element enumerated by 0, ... Good old Cantor has written quite a bit of good stuff. ...
    (sci.math)
  • Re: JSH: Problem solving
    ... The problem of denumerability that Cantor ... How does your set theory differ ... dont take it personal. ... however other parts of math are usually " part ...
    (sci.math)
  • Re: Cantor Confusion
    ... > The first number drawn in lottery may be the 7. ... "In all set theory 0 is called the first ordinal ... nonsense to start counting by zero as is done in set theory. ... Good old Cantor has written quite a bit of good stuff. ...
    (sci.math)
  • Re: JSH: Problem solving
    ... adeptness at the art. ... The problem of denumerability that Cantor ... first i meant a counterexample against my set theory. ... because many people flunked at math in their ...
    (sci.math)