Re: The role of logic, & planning ...

2001-05-01 Thread Hal Ruhl
Dear Russell: At 5/2/01, you wrote: >Incidently, I didn't mean to imply that this sort of modeling of >Knowlegde was inappropriate, only that there was no discussion as to >why one would want to model it in this particular way. Its really the >same as when Hal Ruhl (and I admit I'm putting words

Re: Combined response Re: Computing Randomness

2001-05-01 Thread Hal Ruhl
Dear Bruno: Thank you for your patience and the excellent response. >You should try to make your model part of established mathematics. >Not for the glory, but for making it comprehensible. That is what I am trying to do here, but since I have proven to have too few current mathematical skills

Re: The role of logic, & planning ...

2001-05-01 Thread Russell Standish
I don't think Bruno's conclusion is weird. I come to essentially the same conclusion in "Occam", without the need for formalising "Knowledge", nor the need to use Modal logic. Of course I do use logic of the ordinary kind - I would be surprised if anyone could do away with it altogether. I would

Re: The role of logic, & planning ...

2001-05-01 Thread Marchal
Hi Russell, > I spent a while poring over Bruno's thesis, and borrowed >Boolos from a local university library to udnerstand more what it was >about. I didn't go into too great a length into the results and >structure of Modal logic, although I gained an appreciation, and an >understanding

Re: The role of logic, & planning ...

2001-05-01 Thread George Levy
Russell Standish wrote: > However, my main problem with Bruno's work lay not in the technical > details of Model logic, rather with the phrases of the ilk "We > modelise knowledge by Bew(|p|)". I can appreciate its only a model, > but why should I believe that model of knowing has any connectio

Re: The role of logic, & planning ...

2001-05-01 Thread Marchal
Hi Russell, > I spent a while poring over Bruno's thesis, and borrowed >Boolos from a local university library to udnerstand more what it was >about. I didn't go into too great a length into the results and >structure of Modal logic, although I gained an appreciation, and an >understanding

Re: The role of logic, & planning ...

2001-05-01 Thread Marchal
George Levy wrote: >Marchal wrote: > >And we have as results (including the exercices!): > > > Any frame (W,R) respects K > >A frame (W,R) respects T iff R is reflexive > >A frame (W,R) respects 4 iff R is transitive > >A frame (W,R) respects 5 iff R is euclidian > > (where R is Euclidian means

Re: Combined response Re: Computing Randomness

2001-05-01 Thread Marchal
Hal Ruhl wrote: >I appreciate the conversation so I will try to build a common reference so >each additional step to my model can be built on that base and individually >commented on. As requested these are definitions and terms relevant to my >model not necessarily to established mathemati

Re: The role of logic, & planning ...

2001-05-01 Thread Marchal
Hi Russell, > I spent a while poring over Bruno's thesis, and borrowed >Boolos from a local university library to udnerstand more what it was >about. I didn't go into too great a length into the results and >structure of Modal logic, although I gained an appreciation, and an >understanding

Re: The role of logic, & planning ...

2001-05-01 Thread Marchal
George Levy wrote: >Marchal wrote: > >And we have as results (including the exercices!): > > > Any frame (W,R) respects K > >A frame (W,R) respects T iff R is reflexive > >A frame (W,R) respects 4 iff R is transitive > >A frame (W,R) respects 5 iff R is euclidian > > (where R is Euclidian means

Re: M. alors

2001-05-01 Thread Marchal
Jacques Mallah wrote: >>The key number of existence is 24. >Do you mean 42? No, I mean 24. As a Carroll fan I can appreciate 42, but that's nothing compare to 24. ... and the 24th root of unity ! >What's a consistent computational extension? Take an incomplete theory T. Suppose that -p is n

Re: Combined response Re: Computing Randomness

2001-05-01 Thread Marchal
Hal Ruhl wrote: >I appreciate the conversation so I will try to build a common reference so >each additional step to my model can be built on that base and individually >commented on. As requested these are definitions and terms relevant to my >model not necessarily to established mathematic