We investigate coincidences of the (one-variable) Jones polynomial amongst rational knots, what we call “Jones coincidences”. provide moves on continued fraction expansion associated which prove do not change and conjecture (based experimental evidence from all knots with determinant [Formula: see text]) that these are sufficient to generate coincidences. In process give a new formula for knot ...

Jones & Love (J&L) suggest that Bayesian approaches to the explanation of human behavior should be constrained by mechanistic theories. We argue that their proposal misconstrues the relation between process models, such as the Bayesian model, and mechanisms. While mechanistic theories can answer specific issues that arise from the study of processes, one cannot expect them to provide constraints