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I don't think I can convince you, Lappy, and I'd hardly think I could get you to believe what you already don't.
I would say that it is the contemporary anime in terms of philosophy...or rather, it's the anime in terms of contemporary philosophy...no, it is the anime in terms relateable psychology. I think the last one seems about right. It uses it's imagery to portray thought rather than profoundness, and often times that's why it works. That's why the imagery melds so well with whatever's going on, even if it totally contradicts it directly depicts it.
It certainly does try to introduce new ideas and ways of thought, but I wouldn't call them "new" so much as "ignored" or "overlooked", and it knows this. A lot of what the monogatari series is is to get you to think about what is right in front of you but you never stop to think about or understand, and that's why youkai are such an appropriate centerpiece for the series (or bake, at least), because that's exactly what they are. The show isn't really trying to be revolutionary or profound with its themes, it's simply trying to bring them to our attention.