Alexander Pruss's Blog

We have a pair of Carolina anoles , in addition to geckos, squirrels and cardinals. Quite delightful!

Let [0,1) be the set of numbers x such that 0≤ x <1. Suppose X is a number uniformly chosen on [0,1) such that every number has eq...

I've noted that given the Axiom of Choice, the Hausdorff Paradox kills the principle of indifference. But we don't need the Ax...

One way to help out a sceptic about something is by arguing that what she is sceptical about is way more widespread than she think...

The literature has two ways of measuring the fit between one's credence in a proposition and reality. The "epistemic way...

From my first year of graduate school, I've been pushing a cannonball argument against Hume's idea that a regress of causes pr...

Our beliefs are states of a faculty that aims to represent the truth by means of them. This is a part of what makes these mental states...

Earlier I claimed that even without the Axiom of Choice, the proof of the Banach-Tarski Paradox yields paradoxical results, so th...

In case this heated discussion has made you desire a blowgun, here are my instructions for blowgun and dart making. :-) Stay safe! ( Her...

As a first year graduate student, I wrote this pseudonymous spoof , inspired by the Sokal affair. It's rather immature in places, but en...

The Banach-Tarski theorem (BTT) says that, given the Axiom of Choice, a continuous ball can be decomposed into a finite number of pieces...

Let's go back to the problem that I keep on thinking about: How to distinguish possibilities that are classically of null probabili...

The following account of omnipotence runs into the McEar objection: x is omnipotent iff x can do anything whose doing is consi...

Let X and Y be independent random variables uniformly distributed over [0,1]. Let Z =max( X 2 , Y 2 ). Then it's easy to check t...

Consider two random variables, X and Y , whose probability densities p X and p Y are shown in the following graph, with p X ( x )=1, in b...