Why Can the Brain (And Not a Computer) Make Sense of the Liar Paradox?

Ordinary computing machines prohibit self-reference because it leads to logical inconsistencies and undecidability. In contrast, the human mind can understand self-referential statements without necessitating physically impossible brain states. Why can the brain make sense of self-reference?
This paper addresses this question by defining the Strange Loop Model, which features causal feedback between two brain modules, and circumvents the paradoxes of self-reference and negation by unfolding the inconsistency in time.
Also argued is the metastable dynamics of the brain that inhibits and terminate unhalting inferences.
Finally, the representation of logical inconsistencies in the Strange Loop Model leads to causal incongruence between brain subsystems in
Integrated Information Theory.

Computer versus brain architecture.
A topological analysis of (a) computer chips and
(b) brains (visual cortex organization) reveals fundamental dissimilarities

As a spoiler, the paper concludes:
[…] we conclude that the process carried out by the brain and the computer is different.

Unfolding self-reference in time can be imagined as unfolding a circle many-times packed into a corkscrew, where the time dimension corresponds to the long dimension of the corkscrew. Equivalently, it can be imagined as the evolution of circularly polarised light.

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