Any theory of information needs to comply with what we call the implementation, formalization, and representation constraints. These constraints are justified by basic considerations concerning scientific modelling and methodology. In the first part of this paper, we argue that the implementation and formalization constraints cannot be satisfied because the relation between Shannon information and IIT must be clarified. In the second part of the paper, we focus on the representation constraint. We argue that IIT cannot succeed in satisfying this constraint (...) for semantic contents without offering models for concepts, conceptual roles, and context sensitivity. In the final part of the paper, further complications are raised with respect to the distinction between consciousness and attention, which apply more specifically to the representation constraint. We conclude with some recommendations as to how IIT may succeed in solving these problems, highlighting the advantages and enormous potential of IIT as a scientific theory. (shrink)

We first show that a theorem by Cartan that generalizes the Frobenius integrability theorem allows us (given certain conditions) to obtain noncurvature solutions for the differential Bianchi conditions and for higher-degree similar relations. We then prove that there is no algorithmic procedure to determine, for a reasonable restricted algebra of functions on spacetime, whether a given connection form satisfies the preceding conditions. A parallel result gives a version of Gödel's first incompleteness theorem within an (axiomatized) theory of gauge fields.

This book constitutes the thoroughly refereed post-conference proceedings of the 10th International Conference on Quantum Interaction, QI 2016, held in San Francisco, CA, USA, in July 2016. The 21 papers presented in this book were carefully reviewed and selected from 39 submissions. The papers address topics such as: Fundamentals; Quantum Cognition; Language and Applications; Contextuality and Foundations of Probability; and Quantum-Like Measurements.