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: Evolution and Disagreements Between Dynamics

Evolutionary game theory promises to provide a unifying mathematical framework for a breadth of sciences from biology and economics to anthropology and social epistemology. I endorse this project. In evolutionary game theory the mathematics of dynamical systems are used to represent and reason about various processes of change, such as change in gene frequencies within… Continue reading Paper Review: Evolution and Disagreements Between Dynamics

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: The measurement theory of Everett and de Broglie’s pilot wave

I've written before on this blog about quantum mechanics. We've looked at a questionable interpretation of a recent experiment, the way in which quantum mechanics is radically nonlocal, and certain theoretical constructs needed for the thought experiments used in physics. One of the main reasons why quantum physics fascinates people is because the phenomenon themselves… Continue reading Paper Review: The measurement theory of Everett and de Broglie’s pilot wave

Paper Review: The Regression of the Unstructural

What is the nature of meaning? This is one of the core questions on which the Vienna Circle, a group of early 20th century philosophers, took a stance. The kind of bumper sticker version of their answer is that a sentence only has meaning if it can be empirically verified (or tested, or confirmed, or… Continue reading Paper Review: The Regression of the Unstructural

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: Essence and “Appearance”

Regardless of how one feels about Kant, it is undeniable that he had a profound influence on philosophy. I've recently been looking a little into the Vienna Circle, and it has been fun to explore how much the early thought of the Vienna Circle was driven by direct criticism of Kant's philosophy. In particular, one… Continue reading Paper Review: Essence and “Appearance”