In the mentioned passage, the paradox is:
"opposites that seem like they cannot exit at the same time".
Explanation:
A paradox is a figure of speech which makes contradicting statements within the sentence, but at the same time there is reality to it.
In the mentioned passage, which seems like a review of essays/book being given, the presenter is expressing the paradox that is being experienced by the author of the essay, as being so connected to his traditional roots and culture and yet would want to have a house or build a world of his own.
This seems like opposites that cannot happen at the same time, but it is a reality that anyone would want to build their own pace of world.
Hence, this is the paradox that is being expressed here.