1. The totality of socially transmitted behavior patterns, arts, beliefs, institutions,, and all other products of human work and thought characteristic of a community or population.
2. A style of social and artistic expression peculiar to a society or class
3. Intellecutal and artistic activity, and the works produced by it.
4. the act of developing the social, moral, and intellectual faculties through education
5. A high degree of taste and refinement formed by aesthetic and intellectual training.
6. The development of the body through special training.
... bunch of biological definitions follow.
Some would seem to support your POV, I wouldn't say I'm wrong though. I'd call it a difference of opinion. I think there's a good argument to be made for willful ignorance and lack of culture(def #3, 4, and 5) being an absence of culture. There's obviously a slight contradiction in some circumstances between 1 and 2, and 3-5. You can ignore this if you like, the dictionary agrees with you.
But that was never the question. I never said the dictionary never definied it as such. I said that the modern use of the world "culture" as in definition 1 and 2 above is contradictory in circumstances where the other definitions of the same word are obviously not met. You can choose to ignore it if you want, it doesn't really matter. The modern definition of culture has been hijacked and is used for reasons of political correctness and convenience in many cases. And this isnt an attack on ghetto culture in particular, this could just as easily apply to, say, ignorant, backward, redneck hicks. It doesnt really matter. NASCAR, wife-beating, excessive drug/alcohol abuse, and illegitimate children are not the trademarks of a cultured person.
It's not about the definitions of a word. It's about people who are willingly ignorant and proud of it. I dont think this should be socially rewarded the way it is.