This week I started my second Coursera course: **Introduction to Mathematical Philosophy**.

It actually started a couple of weeks ago so I need to catch up. I’ve only done the first week but am already finding it both mentally stimulating and sort of funny.

Here’s what I’ll learn:

- Infinity (Zeno’s Paradox, Galileo’s Paradox, very basic set theory, infinite sets)
- Truth (Tarski’s theory of truth, recursive definitions, complete induction over sentences, Liar Paradox)
- Rational Belief (propositions as sets of possible worlds, rational all-or-nothing belief, rational degrees of belief, bets, Lottery Paradox)
- If-then (indicative vs subjunctive conditionals, conditionals in mathematics, conditional rational degrees of belief, beliefs in conditionals vs conditional beliefs)
- Confirmation (the underdetermination thesis, the Monty Hall Problem, Bayesian confirmation theory)
- Decision (decision making under risk, maximizing expected utility, von Neumann Morgenstern axioms and representation theorem, Allais Paradox, Ellsberg Paradox)
- Voting (Condorcet Paradox, Arrows Theorem, Condorcet Jury Theorem, Judgment Aggregation)
- Quantum Logic (orthocomplemented lattices, projections, Gleason’s Theorem, probability and logic)