Glen, 1) >>But, one has to realize that the latter me is just as "real" as the 
former me.<< Probably, from a point of view of an 
authentic self, a degree of such "real-ness" is not very significant - zero 
probability - and may be ignored almost completely. I 
think it is "real" because this authentic self exists behind it. 2) >>But I 
have to punctuate this argument again with the fact that 
the constructed reality, those thoughts inside someone's brain, are just as 
real as the a priori reality<< Yes, but it's very 
limited and low reality. We try to think about something, but our Selves know 
it as it is. This difference is what matters. 3) 
 >>Those things like Gödel's result and Lie groups are just as real as apples, 
 >>chairs, and the grand canyon.<< apples,... are a 
result of our perception (interpretation) of reality. They are symbols, 
constructs like Lie groups. But constructs may be also 
phantoms (illusions) - without a correlation (a kind of an "isomorphism") with 
something in reality (or bigger reality) and don't 
"work" in our practical life. They eventually will disappear. 4)  >>Feynman 
said better: What I cannot create, I do not 
understand.<< In his Nobel lesson, Feynman said that nobody understands quantum 
mechanic :-) The key word here is "create" and 
people mostly misuse it. I think that this phrase should sound like this: what 
I cannot make, I do not understand (algorithmical 
understanding). Yes, I agree that the inverse phrase is correct as well... The 
ability to *make* is an attribute of our rational 
mind. If one person can make something like a chair, than another one can steal 
his plan (algorithm, understanding), copy it and 
sell on the market with a price of *commodity*. But a rational mind cannot 
*create*. Such ability is an attribute of our Genius. We 
read poetry for only two reasons: to get a glimpse of its original author - 
this authentic self, and to enjoy his *creation* - art. 
We cannot sell to a museum our makes but arts. And the Boston Symphony 
Orchestra will not perform even a technically sophisticated 
make... Creation of a genius is mysterious for a rational mind of the "author" 
as for others. It's why "authors" usually withdraw 
their interpretations and comments or make (invent) them after all. --Mikhail

  ----- Original Message ----- 
  From: glen e. p. ropella
  To: The Friday Morning Applied Complexity Coffee Group
  Sent: Tuesday, July 15, 2008 1:15 PM
  Subject: Re: [FRIAM] Mathematics and Music


  Mikhail Gorelkin wrote:
  > We all have *two* me: the one is indefinable "I am"
  > (who thinks, the real one) and the another is the product of thinking
  > of the first one (me as I think about me).

  Well, OK.  I kindasorta agree.  But, one has to realize that the latter
  me is just as "real" as the former me.  These self-referencing loops are
  a part of reality.  This is one area where English does just fine and
  (what we know of) mathematics starts to stumble (but not fall).

  > The perception of the
  > first one - mostly through intuition, imagination,... - of "external
  > things" is what we call *reality*. The problem is we are mostly
  > unaware about many details of it (they are beneath of our
  > consciousness) or it is very difficult to *articulate* them
  > correctly. Falling in love with a woman is here (try to describe this
  >  unique feeling). Another example is: it took a quite some time to
  > recognize the essence of people and become more predictive about
  > their behaviors... The second one organizes our world around his
  > categorization, rationality, causality,... It is the *constructed*
  > reality. There is a gap inside of us: we differently "know" what
  > reality is and what we construct in our rational minds as "reality".

  It's true that constructed reality is not a perfect match of ... a
  priori reality (for lack of a better term).  But I have to punctuate
  this argument again with the fact that the constructed reality, those
  thoughts inside someone's brain, are just as real as the a priori
  reality.  There is no substantive difference (or at least there won't be
  once we get a better handle on neural correlates -- an engineering problem).

  There _may_ (emphasis on "may") be a modeling difference.  A priori
  reality may not be a model of anything, i.e. it may not _refer_ to
  anything.  Hence, it's a thing in and of itself and can't be used as a
  symbol.  ... Maybe.  In contrast, the constructed reality can be used as
  a model, primarily because it is an incomplete match with a priori
  reality.  (A model cannot, by definition, be an exact match to its
  referent ... the map is not the territory.)

  But just because one chunk of reality can be used as a model and the
  other cannot doesn't mean one is more real than the other.

  > Here is an example from that Chaitin's lesson: we intuitively
  > (geometrically) "know" *all* points on the line but rationally can
  > name and compute... almost nothing (zero probability). Our second me
  > perceives everything when it appears in our rational mind as it is
  > created there, but the first one knows that... his companion lives
  > inside of the Matrix. And Godel's theorems exist only in that
  > artificial "reality". Our rational mind tries hard to fix these
  > problems and it cannot. It cannot even leave a zone of
  > zero-probability... The artist - call him a mathematician - is a real
  > me who exists in reality and through his art creates another one and
  > all fancy stuff there like Lie groups :-) --Mikhail

  Here's where my punctuation blurbs above matter.  Those things like
  Goedel's result and Lie groups are just as real as apples, chairs, and
  the grand canyon.  Just because they are constructed (artificial,
  synthetic) doesn't mean they hold some lower ontological or formal
  status in reality.

  What an extreme Platonist might argue is that these constructed
  rationale are not only more reflective of reality than chairs and apples
  but that they _are_ reality and the rest is illusory ... noise in the
  transduction between "out there" and "in here".  To steal from Jack:
  Where we receive musical scales and party planning, the universe is
  transmitting maximally even sets.

  In the end, I don't believe either of the two "me"s is more real than
  the other.  It all lies in the set of sensory-motor interactions, which
  may or may not be correlated with an occult "reality" beyond that.

  Going back to Chaitin, I agree fully with one of the things he
  _intended_ to say but that Feynman said better:  What I cannot create, I
  do not understand.  That states a direct relation between creation and
  language.  I will also make the dubious claim that: What I cannot
  understand (in some medium), I cannot create.  And that states the
  inverse relation.  The point being that, even if it's solely
  subconsciously or through movement and action, all we know is what we
  can observe, manipulate, and talk about.  The rest is supernatural and
  magical thinking.

  -- 
  glen e. p. ropella, 971-219-3846, http://tempusdictum.com


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