In may 2013 I have to write a Bachelor Thesis for my bachelor Mathematics. I prefer to choose a subject which involves philosophy. At the same time I have the feeling that my university wants me to write a more technical thesis (which I do not prefer). So I want to be prepared to claim that a philosophical subject is technically enough.
What are great subjects that combine mathematics with philosophy?
I thought for example about what mathematical structures really are. What is the relation between mathematics and the reality? Are we discovering the reality or are we constructing while we learn/discover mathematics.
I have followed courses about logic: on introductionary level and some more advanced logical topics (like modal logic, many-valued logic, time logic, non-monotonic reasoning). Maybe I can combine philosophy with such topics? If anyone has a good idea, I would like to hear it!