The Phi measure of integrated information is not well-defined for general physical systems


According to the integrated information theory of consciousness (IIT), consciousness is a fundamental observer-independent property of physical systems, and the measure Phi of integrated information is identical to the quantity or level of consciousness. For this to be plausible, there should be no alternative formulae for Phi consistent with the axioms of IIT, and there should not be cases of F being ill-defined. This article presents three ways in which Phi, in its current formulation, fails to meet these standards, and discusses how this problem might be addressed.

Journal of Consciousness Studies, 26
Pedro Mediano
Pedro Mediano
Coffee-powered beast-machine

Computational neuroscientist interested in synergy, information theory, and complexity.