Abstract Occurrences of sentences that are traditionally considered category mistakes, such as ‘The red number is divisible by three’, tend to elicit a sense oddness in assessors. In attempting explain this oddness, existing accounts the philosophical literature commonly claim occurrences associated with defect or phenomenology unique class mistakes. It might be thought recent work experimental...

For an anyon model in two spatial dimensions described by a modular tensor category, the topological S-matrix encodes the mutual braiding statistics, the quantum dimensions, and the fusion rules of anyons. It is nontrivial whether one can compute the S-matrix from a single ground state wave function. Here, we define a class of Hamiltonians consisting of local commuting projectors and an associa...

An amazing capability of the human visual system is the ability to learn an enormous repertoire of visual categories. This large amount of categories is acquired incrementally during our life and requires at least partially the direct interaction with a tutor. Inspired by child-like learning we propose an architecture for learning several visual categories in an incremental and interactive fash...