Three hypotheses about the geometry of mind

Abstract

We present a novel perspective on the nature of intelligence, motivated by the OpenCog AGI architecture, but intended to have a much broader scope. Memory items are modeled using probability distributions, and memory subsystems are conceived as "mindspaces" - geometric spaces corresponding to different memory categories. Two different metrics on mindspaces are considered: one based on algorithmic information theory, and another based on traditional (Fisher information based) "information geometry". Three hypotheses regarding the geometry of mind are then posited: 1) a syntax-semantics correlation principle, stating that in a successful AGI system, these two metrics should be roughly correlated; 2) a cognitive geometrodynamics principle, stating that on the whole intelligent minds tend to follow geodesics in mindspace; 3) a cognitive synergy principle, stating that shorter paths may be found through the composite mindspace formed by considering multiple memory types together, than by following the geodesics in the mindspaces corresponding to individual memory types. © 2011 Springer-Verlag Berlin Heidelberg.