Re: An uncountable countable set

In article <ecijd7$7mn$1@xxxxxxxxxxxxxxxxxxxx>,
Tony Orlow <aeo6@xxxxxxxxxxx> wrote:

MoeBlee wrote:
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.

Hi MoeBlee - How are you?

Set theory contradicts with:

(1) E y e N, A x>y, x< 2*x < x^2 < 2^x (y=2)

That isn't even a well formed statement so it is not even false, but
merely meaningless.
.

Relevant Pages

  • Re: Small set theory.
    ... if yey -> yey ... contradiction doesn't lie in yey -> yey, ... Ok, I should develop axiom 6, the axiom that I have posted latelly ... However this set theory will be as follow: ...
    (sci.math)
  • Re: Dik T. Winter says: Definition: sum{i in N} i = 0
    ... >> By the axiom of infinity there exists a set without last element... ... > is prior to set theory (and, as H&J show, not in contradiction with ...
    (sci.math)
  • Re: An uncountable countable set
    ... E.g. the Axiom A: "Axiom A is wrong", is self contradicting, regardless ... contradiction between set theory and something else outside of set ... then no one much cares that set theory conflicts ... something is or is not a theorem of your mathematics. ...
    (sci.math)
  • Re: What is md5sum?
    ... Of course - unfortunately proof by contradiction only holds in boolean ... contradiction with the classical proof that the decimals are cardinally ... You seem to think that mathematics is stuck in socrates time. ... In the 1930s Cohen proved the independence of the axiom of choice from ...
    (comp.os.linux.setup)
  • Re: Dik T. Winter says: Definition: sum{i in N} i = 0
    ... >> By the axiom of infinity there exists a set without last element... ... > is prior to set theory (and, as H&J show, not in contradiction with ...
    (sci.math)