Attractor Nets, Series I: Notes Toward a New Theory of Mind, Logic and Dynamics in Relational Networks
52 Pages Posted: 8 Mar 2011
Date Written: March 6, 2011
Abstract
These notes explore the use of Sydney Lamb’s relational network notion for linguistics to represent the logical structure of complex collection of attractor landscapes (as in Walter Freeman’s account of neuro-dynamics). Given a sufficiently large system, such as a vertebrate nervous system, one might want to think of the attractor net as itself being a dynamical system, one at a higher order than that of the dynamical systems realized at the neuronal level. A mind is a fluid attractor net of fractional dimensionality over a neural net whose behavior displays complex dynamics in a state space of unbounded dimensionality. The attractor-net moves from one discrete state (frame) to another while the underlying neural net moves continuously through its state space.
Keywords: brain, neural net, neurodynamics, relational net, mind, complexity
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