We've seen before on this blog that we often take probability theory to be the core of rational belief. What we haven't seen before is that our beliefs tend to violate probability theory not just in random ways, which is what you would expect if you thought we were making random mistakes, but systematically, in… Continue reading Paper Review: The Rational Status of Quantum Cognition

## Paper Review: The Evolution of Social Norms

I write a lot on this blog about rationality. Not only is it interesting in its own right, but the claim that we are rational creatures has been at the center of western philosophy for millennia, even when under attack. However, regardless of whether or not one thinks we are rational beings, there is one… Continue reading Paper Review: The Evolution of Social Norms

## Paper Review: Philosophy and the practice of Bayesian statistics

One of the more interesting things I've learned in my life is that our best account of epistemology is that rational beliefs are governed by the probability axioms. Furthermore, there is a specific way in a rational agent updates her beliefs given new evidence---Bayesian conditionalization. Of course there is disagreement on this. At this point… Continue reading Paper Review: Philosophy and the practice of Bayesian statistics

## Paper Review: The Idea of a Scientific Philosophy

Often when someone learns I am studying philosophy of science I get a confused look in response. Even worse is when I use the term mathematical philosophy (see here, the top of page 1 for my favourite definition of mathematical philosophy), which often gets the response "math and philosophy, aren't those opposites?!" I've developed a… Continue reading Paper Review: The Idea of a Scientific Philosophy

## 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: Subject and Object

One way to think about the quantum measurement is to think about the conflict between subjective and objective probability. We looked at some of Everett's earlier thoughts along these lines last week. As I mentioned in that post, later on in one version of his thesis he provided a much cleaner account of the measurement… Continue reading Paper Review: Subject and Object

## 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