In modern times, the business of philosophy is no longer trying to attain empirical truths about the world (we’ve got science for that), but rather to critically explore concepts and notions informed, whenever possible, by science.
Here’s the list:
1. Do we really have free will?
2. Can we know anything at all?
3. Who am “I”?
4. What is death?
5. What would “global justice” look like?
Philosophical questions are unlikely to ever be answered definitively.