Re: An uncountable countable set

Albrecht wrote:
There is no relevance in which system the axiom is found.
E.g. the Axiom A: "Axiom A is wrong", is self contradicting, regardless
of which other axioms are used, I think. The same holds for the axiom
of infinity.

You miss the point. Since you've not shown any contradiction in set
theory, whatever contradiction you claim to have found must be a
contradiction between set theory and something else outside of set
theory. But if you can't articulate that something else as a
mathematical formula, then no one much cares that set theory conflicts
with your not mathematically articulated principles.

So I take it from your response that you don't have a set of axioms for
your mathematics. So I wonder how you expect people to evaluate whether
something is or is not a theorem of your mathematics.

MoeBlee

.

Relevant Pages

  • Re: Request for Peer Review - Refutation of Cantor Theorem Conclusion
    ... And, yes, it does exist by the axiom ... as long as you at least know what set theory ... mathematics. ... there is a set that has 0 as a member and is closed under ...
    (sci.logic)
  • Cantors theorem:
    ... And, yes, it does exist by the axiom ... as long as you at least know what set theory ... mathematics. ... there is a set that has 0 as a member and is closed under ...
    (sci.logic)
  • Re: Mathematics, Pseudomathematics, Artificial Intelligence
    ... > Nowadays most of the goyim in mathematics accept cantorian set theory. ... After reading Sol Feferman I'm not sure it makes any practical difference. ... Reverse Mathematics as adequate to the task of scientific mathematics. ... in consequence of and the Axiom of Separation, ...
    (sci.math)
  • Re: Mathematics, Pseudomathematics, Artificial Intelligence
    ... > Nowadays most of the goyim in mathematics accept cantorian set theory. ... After reading Sol Feferman I'm not sure it makes any practical difference. ... Reverse Mathematics as adequate to the task of scientific mathematics. ... in consequence of and the Axiom of Separation, ...
    (sci.logic)
  • Re: Cantorian pseudomathematics
    ... >> intuition is continously in conflict with the mathematics of sets, ... >> to a finitary version of set theory, ... > You can just drop the axiom of infinity from ZF or ZFC, ... > infinite sets; thus you don't need the axiom of choice. ...
    (sci.math)