An uncountable used in a general sense doesn't need an article:
I'm interested in philosphy.An adjective doesn't change this:
I'm interested in ancient Greek philosophy.But if you qualify it with an adjectival phrase or a relative clause you need an article:
I'm interested in the philosophy of ancient Greece.
I still remember the philosophy I studied at school.The culture of that country: normal, as explained above.
Let's talk about culture: general.
Culture becomes countable when we talk about various kinds of culture:
there are many different cultures in the world.