I have been following this discussion and I wanted to respond to this
point because I fail to see why this is such a damning criticism of
the MUH. How is in inconsistent to affirm the existence and reality of
mututally exclusive axiom sets? I realize how that sounds so I would
like to amplify this point with the example that a mathematical
platonist may believe in the independent existence of both Euclidean
and non-Euclidean geometries. Each system is defined by its own set of
axioms and though any two may be mutually inconsistent, any one alone
may be entirely self-consistent. In other words, we don't merge the
axiom sets. Rather, each set defines one mathematical object or entity
that exists independently and in its own right. This is the way that I
read Tegmark's work anyway. I am interested to get other takes on this
point.
On Mar 9, 5:28 pm, Russell Standish <li....domain.name.hidden> wrote:
> John, I think you're missing the point. MUH is the Mathematical
> Universe Hypothesis from Tegmark's paper. Fuzzy Logic means something
> quite precise - it is a mathematical theory where truth values take on
> a real value in [0,1], which is called a membership function.
>
> Brian is proposing something quite specific - to use fuzzy logic to
> resolve the contradictions in merging contradictory axiom sets, which
> would be needed to make Tegmark's proposal work. I am somewhat
> sceptical this can be made to work, but prima facie I cannot see any
> showstopper. Brian might just be right, so if he wants to pursue this
> as a PhD topic, then good on him.
>
> Cheers
>
>
>
>
>
> On Sun, Mar 09, 2008 at 05:43:29PM -0400, John Mikes wrote:
>
> > Jamie, before you and correspondents enter that 50,000 line write-up
> > about the 'impressions'
> > of concepts you mentioned and asked for, a warning:
>
> > Impressions, even definitions/identifications are very personal. A
> > vocabulary of one's terms can't be just 'translated': it has to be
> > adapted to the entire 'mindset' of the person who uses it.
> > You have to 'walk in my shoes' to rightfully apply MY definitions from
> > MY vocabulary.
> > George L remarked that MUH is superceding Fuzzy Logic (George, pls.
> > correct me if I read you wrong) as a mathematically describable
> > theorem, what I take with a grain of salt: maybe F.L. is based on a
> > root what also sprouted mathematical thinking as well? (Even if I
> > deckipher the M in MUH as Multiple, when in my opinion every one of
> > the U-multitude is fundamentally different and no individual can (in
> > toto) exist identically in them all or do the same activity as he
> > does:here(?). )
> > I considered the original F.L. idea as a diversion from the
> > quantizable (mathematical?) formal logic, just before mathematically
> > impaired minds adopted the idea into the math-based TOE.
> > (Remember: my 'everything' includes more than the ' numbers-based'
> > part of it and here I am still missing a (common sense) advice from
> > the list) how to understand 'numbers' (especially in the Bruno defined
> > "integers only" sense differently from "numbers - as in integers". *)
> > I still did not reject David Bohm's "numbers are human invention" groundrule.
>
> > So Your escapade into Fuzzy Logic is a valid one for me, irrespective
> > of a (narrowly cut) MUH
> > only I don't see the possibility of a wide-range agreement in
> > 'concepts' among people with different - well - what? sci. worldview?
> > basic (sci.) philosophy? specialization? or even the not-so-obvious
> > "common sense".
>
> > John M
>
> > *) the statement that everything (including mentality-terms) can be
> > described by numbers in long enough series means in my vocabulary:
> > "SOMEHOW", the same as in assigning ALL mental finctionality to the
> > physiological neuronal brain (somehow). JM
>
> --
>
> ----------------------------------------------------------------------------
> A/Prof Russell Standish Phone 0425 253119 (mobile)
> Mathematics
> UNSW SYDNEY 2052 hpco....domain.name.hidden
> Australia http://www.hpcoders.com.au
> ----------------------------------------------------------------------------- Hide quoted text -
>
> - Show quoted text -
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Received on Thu Mar 27 2008 - 18:23:05 PDT