Not to be confused with the philosophy of mathematics; mathematical philosophy can be described with the following segment from an upcoming course description: “one can analyze philosophical concepts much more clearly in mathematical terms, one can derive philosophical conclusions from philosophical assumptions by mathematical proof, and one can build mathematical models in which we can study philosophical problems.”
I am familiar with Prof Hartmann through his book “Bayesian Epistemology”, and Prof Leitgeb through his publications on Probability in Logic, and most recently on the Stability of Belief, all of which are available on his Academic.edu page here.
The course starts in one week and you can find information about it here. If anyone decides to take it and is interested in having discussions about it, please let me know.
If there is one thing I have attempted to show with this blog it is that empirical observations (i.e. evidence from studies) do not simply provide us with knowledge for clinical practice decisions. There is a large reliance on a rationale, logical, probabilistic process to develop causal models and then there is a rationale, logical, probabilistic processes to use causal models to make clinical decisions. We should end up making decisions we believe are the right decisions. This course will provide a better understanding of truth, rationale belief and making decisions.