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Re: Fundamental problems in Physics



Tim,
This kind of categorical statement of how physicists think is what I am criticizing in my post to Judith.


TG: To the extent that physics community limits their formalisms to
state-based paradigms, they are effectively mechanists and reductionists,
whether they explicitly consider themselves as such or not.

HP: The concept of "state" is not set in Rosen stone, nor are "machine" and "reductionism." States can refer to memory or time intervals or timeless configurations. Machines can be constraints or boundary conditions or dissipative structures with inherent error. And for reductionism you should read philosophy. It isn't so easy to define and has many manings. Physics also uses complementary models, one can be reductionist and the other emergent. It is better not to tell people you don't know what their philosophy is!


TG: "Closed loops of entailment may be a useful abstract concept."?? I'm not
sure why you bother with the ROSEN list if this is only an abstract concept
to you with no counterparts in the external world.

HP: I meant closure was an abstract principle used in modeling, as opposed to an explicit model. Symmetry in physics is an abstract principle. It is not a model.

TG: The predicative limits of entailment in Turing computability
do not rest on whether one computes exact functions or their approximations,
or whether the Turing machine is a UTM or a finite TM.. It is a limitation
of the very nature of computability.

HP: Of course I agree. I have not made my point clear. I am saying that Turing computability is indeed a formal limit, but a limit that has not yet caused a problem with any physical or biological models or any other programs that I know about.

TG: One can certainly utilize simulations rather than models to circumvent this
limit . . .


HP: That is what I am pointing out.

TG: . . . but then one does not have a commuting modelling relation.

HP: That's not often a fatal error. The Hertzian "commutation" is not a formal commutation, but an analogy. It is a "conformation" relation that is not well defined because it is so different for different models and contexts. How close and to what types of observables does the formalism have conform before it is an acceptable model? That type of question makes Rosen's distinction between simulation and model. This is crucial for some models and irrelevant for others. It depends on the question you want to answer, and that is up to the modeler.

Howard