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SUMMARY:Applying Category Theory to Complex Systems Theory: Ehresmann's an
 d Vanbremeersch's Memory Evolutive Systems - Filip Bár\, DPMMS
DTSTART:20140204T141500Z
DTEND:20140204T151500Z
UID:TALK49957@talks.cam.ac.uk
CONTACT:Julia Goedecke
DESCRIPTION:The attempts to understand and to predict the properties and b
 ehaviour of a system by means of the interactions of its 'atomic' componen
 ts in various fields of science like Physics\, Biology\, Neuroscience\, Ec
 onomics\, Sociology etc. has lead to the interdisciplinary science of comp
 lex systems.\n\nWhat is a general theory of complex systems? There is no c
 ommon agreement what the answer to this question should be. However\, ther
 e are some fundamental questions such a theory should answer: How can we c
 haracterize complexity? When is a property of a complex system emergent? W
 hen is it reducible to properties of its components? How to describe the e
 volution of a complex system?\n\nIn this talk I want to give an introducti
 on to Ehresmann's and Vanbremeersch's approach to these questions based on
  Category Theory as developed in their monograph 'Memory Evolutive Systems
  - Hierarchy\, Emergence\, Cognition'. 
LOCATION:MR5\, Centre for Mathematical Sciences
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