Ultrametric Model of Mind, I: Review
arXiv Preprint Archive January 13, 2012 Fionn Murtagh
An ultrametric topology mathematically models Ignacio Matte Blanco's principles of symmetric and asymmetric being, as described in his 1975 book. This model corresponds to hierarchical clustering in empirical data, such as text. The ultrametric structure captures the logic of symmetric being, which underlies reasoning that lacks self-awareness or consciousness, as well as conscious reasoning. A companion paper examines how symmetric reasoning can be identified within narrative text that contains both symmetric and asymmetric reasoning.