On Sat, 22 Dec 2012 11:37:02 -0800 (PST),
marc.t...@wanadoo.fr
wrote:
>> >On 21 d�c, 16:57, Richard Norman <
r_s_nor...@comcast.net> wrote:
>> >> There are several points that must be considered about that paper.
>> >> First, it is philosophy, not science. �Wilkins can comment on whether
>> >> it even agrees with what is ordinarily considered good philosophy of
>> >> science. �In any event, nothing discussed there has any effect on the
>> >> way that scientists go about their daily lives (except, of course,
>> >> that far too many physicists go off on philosophical sprees when they
>> >> are not doing real science).
>> >I don't fully agree with you. I think the asked question is relevant
>> >scientifically speaking, even if, as Robertson recognizes it with
>> >reserves such as "Although this uncontested effectiveness of
>> >conventional scientific techniques does not offer
>> >absolute and conclusive proof that our physical world is not perfectly
>> >chaotic, the evidence is far too strong to simply ignore".
>> >Do you think anybody can claim what is "good philosophy of science" or
>> >even what is "good philosophy"? (however I am sure Pr. Wilkins can:
>> >see his comments).
>> >> Second, what is called "truth" there has a very specialized and
>> >> unusual (in my thinking, anyway) meaning. �It means "accurately
>> >> describes physical reality". �"Absolute truth" means "really
>> >> accurately describes everything about physical reality". That a single
>> >> man in possession of a good fortune must be in want of a wife may be a
>> >> truth universally acknowledged but definitely not by Robertson.
>> >Personally Robertson's meaning of truth suits me very well.
>> >With your example (ISTM a value judgment) I don't understand your
>> >meaning of �"Absolute truth": could you explicit it?
>> >> Third, what is called "chaos" there has a very unspecialized and
>> >> wishy-washy meaning that has absolutely nothing whatsoever to do with
>> >> the mathematics and complexity theory notions of chaos. �Robertson
>> >> refers to a universe in chaos as obeying no laws. �A mathematical
>> >> system in chaos close adheres exactly to a particular law, the
>> >> mathematical equation whose solution is said to exhibit chaos albeit
>> >> completely deterministic. �Thus Kauffman's "edge of chaos" is totally
>> >> irrelevant to the analysis.
>> >I am surprised that a top scientist like you can make such a mistake
>> >about the meaning of the term "chaos".
>> >"Chaos" in Robertson's paper context means "Randomness" or "a lack of
>> >intelligible pattern or combination".
>> >"The mathematics and complexity theory notions of chaos" you refer to
>> >is related to the notion of "deterministic chaos" which is, as you
>> >well know, an oxymoron to describe specific deterministic dynamical
>> >systems that are highly sensitive to initial conditions and thus not
>> >foreseeable after some time.
>> >The reference to Kauffman's "edge of chaos" is just a metaphor meaning
>> >that our physical world, even it is not as positivists see it, is
>> >however partly understandable as Einstein said "The most
>> >incomprehensible thing about the world is that it is comprehensible".
>> >> Fourth, the fact that we know that mathematics does not have a finite
>> >> set of axioms from which all "truth" can be derived has nothing
>> >> whatsoever to do with whether physics does or does not. �That all
>> >> kinds of branches of mathematics, no matter how seeming esoteric, have
>> >> been shown to have some application to physics is irrelevant. The
>> >> incompleteness in mathematics is closely related to self-referential
>> >> or recursive statements dealing with uncountably infinite sets. �If
>> >> the physical universe is finite then no such argument applies. �It may
>> >> well be that neither space nor time are infinitely divisible nor
>> >> infinitely extensive and that particles made of smaller particles made
>> >> of yet smaller particles must necessarily come to a halt. �It is NOT
>> >> turtles all the way down. �It is just that there is nothing under the
>> >> bottom turtle for it to fall into.
>> >Of course I don't agree with you. As Robertson asserted there is
>> >evidence that the incompleteness in mathematics may be extrapolate to
>> >our physical world because of �the unreasonable effectiveness of
>> >mathematics in the natural sciences� as Eugene Wigner already stated
>> >in 1960.
>> (I prefer to keep all my comments here at the bottom rather than
>> interspersed through the text.)
>> First, as to philosophy vs. science -- they are two separate domains.
>> No scientist believes the universe is "chaotic" in the Robertsonian
>> sense. Otherwise there would be no value in pursuing science. �As to
>> whether a finite set of laws would encompass everything -- we are far
>> removed from that problem since we know we do not yet have all the
>> physics to explain even what we see now. �So science proceeds
>> independent of this question. �And this question applies only to
>> fundamental physics. �Chemistry and geology and biology proceed with
>> an enormity of problems to investigate quite apart from whether
>> physics explains "everything" to its satisfaction. �The "everything"
>> of physics really fails to include it all. �The universe may be
>> reducible to fundamental physics but understanding the physics does
>> not really explain biology.
>
>Of course I fully disagree with you on that.
>
>>�In particular, evolution is not
>> explicable in terms of fundamental particles interacting even though
>> nothing in the details of how evolution works is beyond fundamental
>> particles interacting.
>
>I am sorry but I am surprised that, again, a top scientist like you
>can assert that physics is only the study of interactions between
>fundamental particles (!).
>Do you consider for example that far-from-equilibrium thermodynamics
>is not part of Physics?
>
>> Second, you may appreciate Robertson's notion of "truth". �I was
>> simply warning bystanders not to misinterpret your summary because
>> they misunderstand what is meant by that term. �And my example was
>> taken from classic English literature so my ethnocentric bias made me
>> forget that non-English participants in this forum may not be familiar
>> with it. �It is, in case you didn't realize, the first sentence in
>> Jane Austen's "Pride and Prejudice" about "at truth universally
>> recognized". �I, myself, have no definition of "absolute truth" nor do
>> I wish to pursue one.
>
>We agree: Absolute truth cannot be defined. As you are aware my
>personal viewpoint is the same as Karl Popper's one: "theories cannot
>be proved correct, only falsified", as quoted by Robertson.
>
>> Third, as to "chaos", that term has a precise mathematical and
>> scientific meaning and anyone claiming the universe to be "chaotic"
>> must clarify exactly what is meant. � Quantum mechanics argues that
>> the universe is, in some important sense, is "random" and
>> "unpredictable" but still obeys quite specific laws. �As to the "edge
>> of Chaos", it may be used metaphorically by some but still refers to
>> the mathematical phase transition to chaotic behavior. �Further there
>> are demurrals to Kauffman's (and others') work. �See Mitchell's paper
>> "Dynamics, Computation, and the Edge of Chaos": A Re-Examination"
>> �
http://web.cecs.pdx.edu/~mm/dyn-comp-edge.pdf
>
>I recommend you also to read "Order within Chaos" by Pierre Berge,
>Yves Pomeau and Christian Vidal (1987).
>It is the best book on deterministic chaos systems I have ever read.
>
>> Fourth, on the "incompleteness of mathematics". �It is true that
>> physics has strong connections to mathematics but that does not
>> necessarily mean that each and every aspect of mathematics has an
>> important physical correlation. �I gave specific reasons why this may
>> not hold which you did not comment on.
>
>You wrote: " If the physical universe is finite then no such argument
>applies.�It may well be that neither space nor time are infinitely
>divisible nor infinitely extensive and that particles made of smaller
>particles made of yet smaller particles must necessarily come to a
>halt. �It is NOT turtles all the way down. �It is just that there is
>nothing under the bottom turtle for it to fall into".
>I have two main comments:
>1. The question is not only related to the finitude of our universe,
>even if actually I am convinced that the existence of multiverse is
>required for atheism not to be wrong: thus, as a pure atheist, I must
>believe in multiverse.
>For instance why do you think of the following Robertson's argument:
>"if we assume that the physical universe is a type 1 universe, we
>would then be in the rather odd position of assuming that at some
>point research in physics is going to
>end while research in mathematics is still ongoing. In other words, we
>would be assuming that although progress in mathematics will never
>end, the development of applications of that mathematics will come to
>an end, somehow. This seems to me to be a very strange assumption" ?
>2. I don't understand you metaphor with "turtles" and your sentence
>"It is just that there is nothing under the bottom turtle for it to
>fall into": can you explicit it?
The whole idea of Robertson, as I understand it, is whether we can
find a "physics of everything". That really means explaining the
fundamental particles along with their interactions plus space and
time since what we know of the physical universe consists solely of
particles and their interactions in space-time. The reductionist
approach says there is nothing else; everything can be reduced to
that.
You also seem not to understand "progress in mathematics". Only some
logicians or specialists in what is called "foundations" look into
extending known mathematics with new axioms in order to encompass
statements true but not provable with the axioms we ordinarily use.
Hardly any mathematicians butt against the "unprovable because our
axiomatic system is incomplete." Rather they butt against the "as yet
unprovable because nobody has been clever enough to date."
The "end of physics" that I contemplate is the end of reductionistic
physics. That leaves all sorts of properties of complex systems that
are not usefully explained in terms of particle interactions.
Robertson's statement is, as you phrase him, strange. In my view an
awful lot of Robertson's statements are strange. This is no stranger
than the rest.
The "turtles all the way down" is simply a classical metaphor for an
unending series of questions -- basically what is meant by Robertson's
type 2 system. See, for example, Wikipedia at
http://en.wikipedia.org/wiki/Turtles_all_the_way_down
If the universe is type 1 so that a finite set of axioms suffices,
then there must be a bottom set of turtles. The obvious question then
is "what do they stand on." I say they don't have to stand on
anything; they just have to be there because "falling" beneath the
ultimate explanation doesn't make sense.
Incidentally, I find your claim that atheism only makes sense in the
context of a multiverse. I would argue that almost all of science,
and all of science that I am professionally interested in, occurs
within our own universe and that nothing that happens outside it can
have any influence on what happens to the systems I want to study. In
particular, nothing in any alternative universe bears on biological
evolution in general and animal physiology in particular. I am quite
happy denying the existence of any god without having to conjure up
alternate universes.