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I'm reading TBK right now and thoroughly enjoying it. I agree with Idril that a lot seems to be out of place with the story -- I'm reading Ivan's speech to Alyosha right now in the Pro and Contra section -- but I'm finding so much in it that it's ok by me.
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I liked it, but if you're not religious, you may not be into it as much as christian readers.
It's also, IMO, not quite in the style of past Fyodor novels, often switching perspectives where a lot of his more popular works were more insular.
It is deep, but found it quite theatrical in characterizations, where I found other novels/stories much more believable and timeless.
I'm not swaying you from reading it as I liked it, but I do recommend reading his other works first just to get the jist of his philosophy - Brothers Karamazov requires quite a bit of thinking and piecing together the character arcs yourself more so vs. other novels.
One thing I really wish Brothers K would've had was Alyosha conquering with adversity - someone cheating him, doing him wrong, just to see how he stacks up. Party of the novel's point is he's an amature in life, so Zosima orders him to return to secular society, but so far, all Alyosha does is try to help others, and we don't really see how he'd handle dealing with his own anger and a lot of ways he seems to ignore it, or calmly state biblical advice and walk away.
The most we see of him is at the very end, but that was more out of pity/sadness than actual personal conflict.