You ITprimer seems to disagree with your statement:
Emergence is NOT the sum of the parts.
ITprimer:
(3) the non-trivial interactions result in internal constraints, leading to symmetry breaking in the behaviour of the individual components, from which coordinated global behaviour arises;
(4) the system is now more organised than it was before; since no central director nor any explicit instruction template was followed, we say that the system has ‘self-organised’ ;
(5) this coordination can express itself as patterns detectable by an external observer or as structures that convey new properties to the systems itself. New behaviours ‘emerge’ from the system;
Non-trivial interactions of individual components → Self organization → New behaviors labeled to have ‘emerged’
Where did they emerge from? The non-trivial interactions. This description runs counter to your discription “Emergence is NOT the sum of the parts.” It is the sum of the non-trivial parts by the above description and a loose definition of sum.
Emergence is NOT the sum of the parts.
I’m curious, Eliezer, what you think of Alex Ryan’s and Cosma Shalizi’s definitions/formalisms of emergence?
http://www.per.marine.csiro.au/staff/Fabio.Boschetti/papers/ITprimer.pdf http://arxiv.org/pdf/nlin/0609011 http://www.cscs.umich.edu/~crshalizi/thesis/single-spaced-thesis.pdf
The both seem to be claiming that emergence is more than you are, but that could be an illusion...
You ITprimer seems to disagree with your statement:
ITprimer:
Non-trivial interactions of individual components → Self organization → New behaviors labeled to have ‘emerged’
Where did they emerge from? The non-trivial interactions. This description runs counter to your discription “Emergence is NOT the sum of the parts.” It is the sum of the non-trivial parts by the above description and a loose definition of sum.