Mod+ Is Consciousness Computable?


In this article we review Tononi’s (2008) theory of consciousness
as integrated information. We argue that previous formalizations
of integrated information (e.g. Griffith, 2014) depend
on information loss. Since lossy integration would necessitate
continuous damage to existing memories, we propose it is
more natural to frame consciousness as a lossless integrative
process and provide a formalization of this idea using algorithmic
information theory. We prove that complete lossless
integration requires noncomputable functions. This result implies
that if unitary