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 <[EMAIL PROTECTED]> 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 [EMAIL PROTECTED] > Australia http://www.hpcoders.com.au > ----------------------------------------------------------------------------- > Hide quoted text - > > - Show quoted text - --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to [EMAIL PROTECTED] To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/everything-list?hl=en -~----------~----~----~----~------~----~------~--~---