[pkl] Roger Penrose über "Consciousness", Alan Turing / Berechenbarkeit und das Universum

[oliver]

Moin,

On Tue, Feb 04, 2014 at 12:41:46PM +0100, oliver wrote:
[...]
> Sir Roger Penrose — The quantum nature of consciousness
> 
>   http://www.youtube.com/watch?v=3WXTX0IUaOg
> 
>     ( ca. 7 Minuten )
> 
>       "The extraordinary scope of his work ranges from quantum
>       physics and theories of human consciousness to relativity
>       theory and observations on the structure of the universe.
>       Penrose is internationally renowned for his scientific work
>       in mathematical physics, in particular for his
>       contributions to general relativity and cosmology. His
>       primary interest is in a field of geometry called
>       tesselation, the covering of surfaces with tiles of
>       different shapes.
[...]


Das in dem Video von Penrose vorgebrachte Argument,
das darlegt, daß menschliches Denken NICHT als Turingmaschine
implementiert werden kann wird von Louis H. Kauffman
folgendermassen kurz zusammen gefasst:


      "(...) it is not whether we 'are' Turing machines but
      whether our essential cognitive structure can be
      represented by a Turing machine. Penrose argues that if
      this were the case, then "I" could apply my intelligence to
      the Turing machine structure (call it T and assume that it
      is consistent and rich enough to do arithmetic) that
      represents me. But then "I" can prove a Goedelian
      incompleteness theorem for T, producing a proof of a
      theorem that T cannot prove. This is a contradiction, since
      T should be able to do anything that "I" do. Therefore "I"
      am not representable by a Turing machine."

  (  https://hermes.gwu.edu/cgi-bin/wa?A2=ind1402&L=cybcom&F=&S=&P=12254  )


Aber das Argument ist den meisten Lesern hier auf der Liste
vermutlich ohnehin bekannt.
Ich fand's trotzdem wichtig genug, nochmal zu erwähnen.


Gruß,
   Oliver