IIT 4.0

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This page lists the changes and ingredients introduced in IIT 4.0 relative to IIT 3.x. For a complete mathematical accout of IIT 3.x, cf. Kleiner & Tull, The Mathematical Structrue of IIT, 2021. For brevity, we will also use the terminology introduced in this paper.

What is IIT 3.x?

IIT 3.0 refers to IIT as introduced in Oizumi & Albantakis &Tononi, From the Phenomenology to the Mechanisms of Consciousness: Integrated Information Theory 3.0, 2014.

IIT 3.x refers to the same version of the theory, but with all changes that have been proposed by the group in published papers before the 4.0 version taken into account. A mathematical introduction to and definition of IIT 3.x is available in the paper mentioned in the introduction.

New distance function

IIT 3.x makes use of a distance function on a space probability distributions. The theory uses this space of probability distributions in order to construct a space which it claims is identical to conscious experiences. Both the individual spaces as well as the prodcts are instantiations of what is called an experience space in Kleiner & Tull, which includes the said distance function.

Whereas in IIT 3.x the distance function is an adaptation of the KL-divergence over probability distributiosn (cf. Kleiner & Tull for details), IIT introduces a new distance measure, called Intrinsic Difference.

Def.
Intrinsic Difference
TBA


The justification for introducing this new distance