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
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
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
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”
How should we change our beliefs in the light of new information? This is one of the central questions of epistemology, and has great practical importance. For example, consider a doctor who has a patient who is concerned he might have cancer. The doctor has certain beliefs: for example, she may think that her patient… Continue reading Paper Review: Why Conditionalize?