Title
Inverse Bayesian inference as a key of consciousness featuring a macroscopic quantum logical structure.
Abstract
To overcome the dualism between mind and matter and to implement consciousness in science, a physical entity has to be embedded with a measurement process. Although quantum mechanics have been regarded as a candidate for implementing consciousness, nature at its macroscopic level is inconsistent with quantum mechanics. We propose a measurement-oriented inference system comprising Bayesian and inverse Bayesian inferences. While Bayesian inference contracts probability space, the newly defined inverse one relaxes the space. These two inferences allow an agent to make a decision corresponding to an immediate change in their environment. They generate a particular pattern of joint probability for data and hypotheses, comprising multiple diagonal and noisy matrices. This is expressed as a nondistributive orthomodular lattice equivalent to quantum logic. We also show that an orthomodular lattice can reveal information generated by inverse syllogism as well as the solutions to the frame and symbol-grounding problems. Our model is the first to connect macroscopic cognitive processes with the mathematical structure of quantum mechanics with no additional assumptions.
Year
DOI
Venue
2017
10.1016/j.biosystems.2016.12.003
Biosystems
Field
DocType
Volume
Quantum,Inverse,Joint probability distribution,Bayesian inference,Mathematical structure,Matrix (mathematics),Quantum logic,Artificial intelligence,Machine learning,Mathematics,Bayesian probability
Journal
152
ISSN
Citations 
PageRank 
0303-2647
4
0.54
References 
Authors
5
4
Name
Order
Citations
PageRank
Yukio-Pegio Gunji124441.01
Shuji Shinohara251.65
Taichi Haruna33310.95
Vasileios Basios4133.33