Paper Review: Unified dynamics for microscopic and macroscopic systems

In the wake of the quantum measurement problem there is a constellation of competing theories of quantum mechanics. Any adequate solution to the measurement problem must make predictions that agree with the observed quantum statistics. In particular, the theory must explain why small particles exhibit counter-intuitive behaviour and why this seems to go away at… Continue reading Paper Review: Unified dynamics for microscopic and macroscopic systems

Paper Review: Objective versus Subjective Probability

Hugh Everett III proposed his many worlds (or as he preferred to call it, relative state) formulation of quantum mechanics back in the mid 50s in order to solve the quantum measurement problem. Although it took a while for the theory to gain traction, it (or some form of it) is one of the more… Continue reading Paper Review: Objective versus Subjective Probability

Paper Review: Nonconglomerability for Countably Additive Measures that are not κ-additive

Probability plays a central role in this blog---many of my posts focus on where probability makes contact with philosophy and physics. However, there is also of course the mathematical theory of probability. The mathematics and the;philosophy interact in many ways, often technical results in the mathematics can be important for our work as philosophers. For… Continue reading Paper Review: Nonconglomerability for Countably Additive Measures that are not κ-additive

Paper Review: Knowledge

A number of my posts have looked at the tight connection between rationality and probability. One of the pioneers of this kind of work was Frank Plumpton Ramsey, who made major contributions to mathematics, economics, psychology, and philosophy before passing away at the young age of 26. Ramsey was also a friend of the influential… Continue reading Paper Review: Knowledge

Paper Review: Contribution to discussion on Probability

Probability can seem like a slippery notion. Indeed, though we have an intuitive notion of various aspects of probability, it took a long time for humanity to develop a rigorous formal theory. And even with the mathematics of probability on surer footing, the interpretation of probability -- what does it mean -- is still plagued… Continue reading Paper Review: Contribution to discussion on Probability

Paper Review: The Semantics Latent in Shannon Entropy

One joke about philosophers is that we walk around all day just going, "what does it all mean?" Though it is a joke, some philosophers are concerned with meaning. I don't mean meaning in a kind of ethical, "why are we here?" sense (although some philosophers are concerned with that), but rather what we mean… Continue reading Paper Review: The Semantics Latent in Shannon Entropy

Paper Review: Decision Theory Without Representation Theorems

Decision theory seeks to understand how rational agents should act. More specifically, I am talking about normative decision theory. There is also descriptive decision theory which tries to characterize how people in fact act. For this post (and most of my posts) I will focus on normative decision theory. Importantly, the "should" here is not… Continue reading Paper Review: Decision Theory Without Representation Theorems