[LINK] Sentient Robots Not Possible According To Math Proof

Based on Tononi’s earlier work on Integrated Information Theory, apparently, Maguire et al. have come up with a formulation of consciousness as a lossless integration of information that requires noncomputable functions, which implies that consciousness cannot be modeled computationally.

http://​​www.newscientist.com/​​article/​​dn25560-sentient-robots-not-possible-if-you-do-the-maths.html

I’m personally skeptical of this, but their paper (seen here: http://​​arxiv.org/​​abs/​​1405.0126v1) has some impressive looking formal mathematical proofs that I will admit I lack the mathematical competence to judge the veracity of. Anyone with greater mathematical acumen want to take a look?