Picturing classical and quantum Bayesian inference

We introduce a graphical framework for Bayesian inference that is sufficiently general to accommodate not just the standard case but also recent proposals for a theory of quantum Bayesian inference wherein one considers density operators rather than probability distributions as representative of degrees of belief. The diagrammatic framework is stated in the graphical language of symmetric monoidal categories and of compact structures and Frobenius structures therein, in which Bayesian inversion boils down to transposition with respect to an appropriate compact structure. We characterize classical Bayesian inference in terms of a graphical property and demonstrate that our approach eliminates some purely conventional elements that appear in common representations thereof, such as whether degrees of belief are represented by probabilities or entropic quantities. We also introduce a quantum-like calculus wherein the Frobenius structure is noncommutative and show that it can accommodate Leifer??s calculus of ??conditional density operators??. The notion of conditional independence is also generalized to our graphical setting and we make some preliminary connections to the theory of Bayesian networks. Finally, we demonstrate how to construct a graphical Bayesian calculus within any dagger compact category.     

Acceptance and Commitment Therapy for a Heterogeneous Group of Treatment-Resistant Clients: A Treatment Development Study

Acceptance and commitment therapy (ACT) has been shown to have broad applicability to different diagnostic groups, and there are theoretical reasons to consider its use with clients with chronic mental health problems. We report an innovative treatment development evaluation of ACT for a heterogeneous group of ”treatment-resistant clients” (N = 10) who had attended a mean of 3.5 previous psychological interventions. All clients had Axis I presentations and half met diagnostic criteria for Axis II disorders. Functioning, assessed at pre- and postintervention, and at 6- and 12-month follow-up, showed improvements over time on all primary outcome measures, driven largely by significant changes occurring between baseline and 6-month follow-up. Improvements were associated with ACT processes of change. The data thus suggest that a broad range of clients who had not benefited from standard care may benefit from ACT.     

The effects of context change on long-term habituation of the orienting response in humans

Four experiments examined the effects of context change (Experiments 1-3) and context extinction (Experiment 4) on long-term habituation of the skin conductance response. In all experiments, subjects received 15 presentations of a target stimulus in each of two sessions. In Experiment 1 (N=60) there was a 15-min interval between training and test sessions. This interval was extended to 24 hours in Experiments 2 (N=60) and 3 (N=60). The experimental treatment in each of these studies involved a change in context between the two training sessions. None of the experiments provided evidence of context dependency in measures of long-term habituation. In Experiment 4 (N=60) experimental subjects received a period of context extinction during which they remained in the laboratory environment between two series of habituation trials. Again, however, there was no evidence that long-term habituation was contextually mediated. Thus, the results fail uniformly to support theories that argue that long-term habituation is context-dependent.     

Facsimiles of Flesh

Ed Gein was a serial killer, grave robber, and body snatcher who made a lampshade from human skin. Now consider the detective who found that lampshade. Let's suppose that he would never want to own it; however, he does find that he wants a synthetic one just like it – a perfect replica. We assume that there is something morally problematic about the detective having such a replica. We then argue that, given as much, we can reach the surprising conclusion that it's morally problematic to consume realistic fake‐meat products. After explaining why we might the detective's replica lampshade morally problematic, we clarify the analogy between the replica and fake meat products. Then, we defend it against a number of objections, the most notable one being we can sever any association between fake meat and the real stuff without moral cost. We conclude by pointing out that our argument generalises: if it works, then there is something morally problematic about many fake animal products, including fake leather and fur.     

Intuition and Reflection in Arithmetic: Bob Hale

Michael Potter considers several versions of the view that the truths of arithmetic are analytic and finds difficulties with all of them. There is, I think, no gainsaying his claim that arithmetic cannot be analytic in Kant's sense. However, his pessimistic assessment of the view that what is now widely called Hume's principle can serve as an analytic foundation for arithmetic seems to me unjustified. I consider and offer some answers to the objections he brings against it.