Re: RAF: Rational numbers, irrational numbers: each dense in real numbers

From: "Ross A. Finlayson" <raf@xxxxxxxxxxxxxxx>
Date: Wed, 17 Oct 2007 21:20:59 -0700

On Oct 17, 4:57 pm, MoeBlee <jazzm...@xxxxxxxxxxx> wrote:

On Oct 17, 3:47 pm, "Ross A. Finlayson" <r...@xxxxxxxxxxxxxxx> wrote:

Then, this thread ends in a similar fashion as to how the rational/
irrational thread of late 2005 ended: illustrating a perceived
inconsistency in ZFC from the uncountability of irrationals and
denseness of rationals and irrationals in the reals.

Yes, excellent work, Ross. You have successfully proven that you have
a perception that ZFC is inconsistent.

MoeBlee

Yes, it's rather clear since being proven mathematically.

Ross

--
Finlayson Consulting

.

Follow-Ups:
- Re: RAF: Rational numbers, irrational numbers: each dense in real numbers
  - From: David R Tribble
- Re: RAF: Rational numbers, irrational numbers: each dense in real numbers
  - From: MoeBlee

References:
- Re: Rational numbers, irrational numbers: each dense in real numbers
  - From: lwalke3
- Re: Rational numbers, irrational numbers: each dense in real numbers
  - From: Ross A. Finlayson
- Re: Rational numbers, irrational numbers: each dense in real numbers
  - From: MoeBlee
- Re: Rational numbers, irrational numbers: each dense in real numbers
  - From: Ross A. Finlayson
- RAF: Rational numbers, irrational numbers: each dense in real numbers
  - From: Robert Maas, see http://tinyurl.com/uh3t
- Re: RAF: Rational numbers, irrational numbers: each dense in real numbers
  - From: Ross A. Finlayson
- Re: RAF: Rational numbers, irrational numbers: each dense in real numbers
  - From: Ross A. Finlayson
- Re: RAF: Rational numbers, irrational numbers: each dense in real numbers
  - From: MoeBlee

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Relevant Pages

Re: RAF: Rational numbers, irrational numbers: each dense in real numbers
... denseness of rationals and irrationals in the reals. ... a perception that ZFC is inconsistent. ...
(sci.math)
Re: RAF: Rational numbers, irrational numbers: each dense in real numbers
... inconsistency in ZFC from the uncountability of irrationals and ... denseness of rationals and irrationals in the reals. ... a perception that ZFC is inconsistent. ...
(sci.math)
Re: RAF: Rational numbers, irrational numbers: each dense in real numbers
... Ross A. Finlayson wrote: ... inconsistency in ZFC from the uncountability of irrationals and ... denseness of rationals and irrationals in the reals. ... a perception that ZFC is inconsistent. ...
(sci.math)
Re: Who believes/believed that set theory is/was inconsistent?
... "If ZFC is consistent then PA is consistent." ... An inconsistency in PA could be rewritten using the ... I'm relying here on the assumption that Ed Nelson would ... But I didn't write that doubting the consistency of ZFC ...
(sci.logic)
Re: Rational numbers, irrational numbers: each dense in real numbers
... And your "arguments" as to your opinion that ZFC is inconsistent are ... specified transfinite recursion schema not defined for ordinals up to ... The property that there remains an uncountable number or irrationals ...
(sci.math)