On Sat, Oct 05, 2013 at 09:40:18AM +0200, Bruno Marchal wrote:
> 
> On 05 Oct 2013, at 01:16, Russell Standish wrote:
> 
> >On Fri, Oct 04, 2013 at 04:51:02PM +0200, Bruno Marchal wrote:
> >>
> >>Read AUDA, where you can find the mathematical definition for each
> >>pronouns, based on Kleene's recursion theorem (using the Dx = "xx"
> >>trick, which I promised to do in term of numbers, phi_i, W_i, etc.
> >>but 99,999% will find the use of them in UDA enough clear for the
> >>reasoning. Yet, I have made AUDA as I was told some scientists were
> >>allergic to thought experiments, and indeed studied only AUDA (and
> >>got no problem with it).
> >>
> >
> >Hi Bruno,
> >
> >You meade this comment before, and I just passed over it, because it
> >didn't seem that relevant to the thread. I am familiar with your AUDA
> >from your Lille thesis, of course, but don't recall anywhere where you
> >discuss formalisation of pronouns.
> >
> >Perhaps you do this in another treatment of the AUDA I haven't
> >read? Or perhaps
> >you have some slightly different idea in you mind that I'm missing?
> >Just wondering...
> 
> I thought I have explained this very often, but perhaps I have been
> unclear, or took some understanding of Gödel 1931 for granted?
> 
> Bp (intended for its arithmetical interpretation, thus Gödel's
> beweisbar) is the third person "I"; like in I have two legs, or like
> in front of my code or body (scanned by the doctor). I refer often
> to it by "3-I". This is standard self-reference.
> 
> Bp & p, is the knower, which plays the role of the first person in
> AUDA. It is a solipsistic person unable to provide any definition or
> name for who he is. It is the Plotinus universal soul, or the "inner
> God" of the East. It is the non duplicable being which is unable to
> "feel the split" in duplication experience. From his own perspective
> he is not duplicable, not nameable, and not a machine (!).
> 
> The other hypostases are variant of those above. Normally Bp & Dt
> should give a first person plural, and is as much nameable, and
> definable in arithmetic than the 3-I. It is really the 3-I + a
> reality (Dt).
> 
> The sensible person, in a reality is the knower + reality (Bp & p & Dt).
> 
> OK?
> 
> To sum up:
> Bp = 3-I,
> Bp & p = 1-I.
> The Dt can be added, and just transform the provability into
> probability (which needs ([]p   ->  <>p), in formal treatment).
> 
> Bruno
> 

I get that Bp is the statement that I can prove p, and that Bp & p is
the statement that I know p (assuming Theatetus, of course), but in
both cases, I would say the pronoun "I" refers to the same
entity. English, and AFAIK French, do not make a distinction between
3-I and 1-I, so this is some new terminology that you have introduced,
with unclear connection to real pronouns. Why do you say they are pronouns?

Cheers
-- 

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Prof Russell Standish                  Phone 0425 253119 (mobile)
Principal, High Performance Coders
Visiting Professor of Mathematics      hpco...@hpcoders.com.au
University of New South Wales          http://www.hpcoders.com.au
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