Re: Has BS Anand Refuted Gödel's Theorem



On Jan 2, 4:18 pm, george <gree...@xxxxxxxxxx> wrote:
On Jan 1, 5:42 pm, LauLuna <laureanol...@xxxxxxxx> wrote:

In fact, Anand's purported result contradicts the Skolem-Löwenheim
theorem as well!

There is no "the" LST.  There is an upward and a downward.
The downward is the one that is important.  BSA's result
does NOT contradict that one, since the standard model is
countable.

The truth of the downward version very strongly implies
the complete irrelevance of the upward one.

Well, yes. But it's the Upward version what seems immediately
contradicted by Anand for it is evident that PA has a countably
infinite model.
.



Relevant Pages

  • Re: PING: Jerry F.
    ... Sometimes the freeway is above the crossroad, ... pretty fierce upward slope.. ... downward so that the entry will be downward. ... Oh, you are making sense, but you must have very humpy freeways. ...
    (alt.usage.english)
  • Re: The shocking truth about the naturals
    ... This paradigm is founded on the concept of a FIRST-ORDER LANGUAGE. ... Instinctively it appears clear that the downward theorem impacts on interpreting the upward theorem in a way that has no converse. ... and while the downward and upward proofs (wikipedia sketches) do look quite different, I am wondering - more as an artistic exercize than anything else - how far could succeed an effort to formulate a simultaneous proof of both the upward and the downward theorem, given that their statements show lots of common structure. ...
    (sci.logic)
  • Re: Ascending/Descending icons
    ... there that resembles notions of "upward" or "downward". ... Maybe I'm in a locale that doesn't parse string representations of Unicode characters into those Unicode characters. ...
    (comp.lang.java.gui)
  • Re: Possible energy invention by James M Driscoll aka Spaceman?
    ... causing the floatable masses to now move downward and upward again creating ... electricity again. ... As I suspected simply another 'perpetual motion' device. ...
    (sci.energy)