Difference between revisions of "Research on self-reference and recursion"

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Wikipedia calls this way of thinking [http://en.wikipedia.org/wiki/Recursionism '''recursionism''']. They link to '''Subhash Kak's''' 142 page monograph, "[http://www.ece.lsu.edu/kak/RReality.pdf Recursionism and Reality]", 2005 that independently argues for a subset of Winiwarter's points, but with much less concision and clarity.
 
Wikipedia calls this way of thinking [http://en.wikipedia.org/wiki/Recursionism '''recursionism''']. They link to '''Subhash Kak's''' 142 page monograph, "[http://www.ece.lsu.edu/kak/RReality.pdf Recursionism and Reality]", 2005 that independently argues for a subset of Winiwarter's points, but with much less concision and clarity.
  
'''William Poundstone's''' ''[http://www.amazon.com/Recursive-Universe-Complexity-Scientific-Knowledge/dp/0809252023 The Recursive Universe]'', 1985 has similar insights with respect to recursive computation.  
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'''William Poundstone's''' ''[http://www.amazon.com/Recursive-Universe-Complexity-Scientific-Knowledge/dp/0809252023 The Recursive Universe]'', 1985 has similar insights with respect to recursive computation, focusing largely but not exclusively on cellular automata (CA). '''Stephen Wolfram's''' ''[http://en.wikipedia.org/wiki/A_New_Kind_of_Science A New Kind of Science]'', 2002 attempts a scientific unification via computational iterations with CA, and some find it valuable.  
'''Stephen Wolfram's''' ''[http://en.wikipedia.org/wiki/A_New_Kind_of_Science A New Kind of Science]'', 2002 attempts a scientific unification via computational iterations, and some find it valuable.  
 
  
 
What research has been done with respect to organic (evolutionary, developmental, or integrative) perspectives on self-referential systems or recursion since 1986?
 
What research has been done with respect to organic (evolutionary, developmental, or integrative) perspectives on self-referential systems or recursion since 1986?

Revision as of 14:26, 6 May 2008

Peter Winiwarter has a nice article (Autognosis, 1986) on the many types of self-referential thinking that have emerged in mathematics, logic, computation, physics, chemistry, biology, sociology, psychology, and other sciences, particularly beginning in the 1970's. He makes an opening case that self-referential, recursive processes are pervasive in universal dynamics, both physical and psychical, and outlines the value of bottom up, top down, and organic (synthetic) perspectives on these processes.

Wikipedia calls this way of thinking recursionism. They link to Subhash Kak's 142 page monograph, "Recursionism and Reality", 2005 that independently argues for a subset of Winiwarter's points, but with much less concision and clarity.

William Poundstone's The Recursive Universe, 1985 has similar insights with respect to recursive computation, focusing largely but not exclusively on cellular automata (CA). Stephen Wolfram's A New Kind of Science, 2002 attempts a scientific unification via computational iterations with CA, and some find it valuable.

What research has been done with respect to organic (evolutionary, developmental, or integrative) perspectives on self-referential systems or recursion since 1986?