A logic of brain dynamics

Nils Bertschinger

Max-Planck Institut for Mathematics in the Sciences, Leipzig, Germany

Any neuron can be described as implementing a binary distinction (spiking vs. non-spiking). The dynamics of the brain then corresponds to a network of interdependent distinctions in which most neuronal firing (distinctions that are made) is actually based on the activity of other neurons. Thus, the operation of the brain should be understood as acting on distinctions and producing new distinctions. Along those lines, we propose an algebra of distinctions capturing the logics of brain dynamics. Computer simulations of simple neural networks will then be used to illustrate and refine proposed descriptions of network dynamics in terms of distinctions.

Within this framework consciousness is then analyzed in terms of properties of distinctions, i.e. a distinction becomes conscious if it is collectively available throughout the whole brain (A similar construction is used in game theory to define common knowledge).

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