For the moment I'm going to concentrate on the areas I know reasonably well: philosophy and finance.
A draft I'm working on for the philosophy of physics page.
Philosophy of quantum mechanics
Quantum mechanics presents many philosophical problems. It is well definied mathematically, and is extremely well confirmed experiamentally, but its ontological implications are still debated intensly almost 100 years after its Superposition of states
Definition of the wavefunction.
The measurement problem.
Within quantum mechanics measurement is a primative. That is to say that the action of measuring changes the system being observed, in a way that has nothing to do with the way the measurement is performed. This may be seen with reference to young's slits.
This leads us on to the entanglement problem.