The day of the 50th Philosophers' Carnival, and time to use the carnival submission form to tell me of interesting posts related to the philosophy of mathematics (or the philosophies of logic and science) and mathematical philosophy, which is the use of mathematics (including formal logics, probabilities and scientific models) to tackle any philosophical topic.
......I don't want to exclude any interesting stuff, so any recent post will be considered, but the more mathematical it is the more extensively will “recent” be taken, and the less exceptionally interesting it will have to be. Your post doesn't need to be anything earth-shattering - it just needs to be something that other philosophically-minded people might enjoy reading.
......At the moment I'm thinking about the Burali-Forti paradox, as I'm reading All Things Indefinitely Extensible (from the book being reviewed over on Logic Matters). (PS, July 19 sees the 12th Philosophia Naturalis.)