I would start with proof. Is someone trying to get you to argue why it is wrong or are you just curious about it? How would one prove reincarnation? It seems to me that no solid argument can be given for its truth. Although this grossly oversimplifies the situation, Eastern philosophy is a very complex beast to work with. Their philosophy/religion is very self referential in the sense that karma proves reincarnation proves karma type situation. So I would doubt the whole project, why accept their entire worldview at all?
Somebody of the hindu religion would say that is your problem. You're so steeped in the western mindset and think that there is a separation between you and everything else that you can't experience the oneness of being and see the truth of reincarnation. True truth cannot be proven, only experienced. Pardon me whilst I bang my ahead into the wall.
Pushing the Antithesis covers it some starting
here. The Myth of Neutrality video series on Youtube also covers how to deal with it I think. The self-defeating nature of hinduism lies in samsara and nirvana. I'll listen to Bahnsen on it tonight and try to type up some notes.
Hinduism - Religion of Transcendent Mysticism (Religions which go beyond human experience and can only be contacted in a super-rational or mystical way.)
Brahman is everything. It doesn't appear that way is because Brahman goes beyond our experience and the only way to get right with god is through contemplation such as yoga.
If it goes beyond rationality or human experience then how can you know about it?
Such mystical claims are therefore arbitrary.
Our problems arise because we believe in distinctions but according to hinduism, in this world of maya (illusion) we draw distinctions when in reality there is only one thing. You are me, and I am you and we are all together. (Beatles)
Everything is the same, there is no difference between you and me, the trees, etc. All is one. Once you are enlightened through yoga, the drop of water that is you will be spliced back into to the shoreless ocean of being. There will be no more distinctions.
Since Hinduism claims to be beyond human experience, how can it use all these sentences which are based in human experience?
Brahman revealed it. How, since Brahman is not personal?
You're in maya not nirvana and until you enter nirvana you will continue to be reincarnated.
I haven't entered into nirvana yet because I draw distinctions? Right.
Then I claim to already be in Nirvana since you claim there is no distinction between maya and nirvana. Since all is one, therefore I must already be in nirvana since there are no distinctions.
Hindu response - well that's your problem because you're committed to logic, but our religion is beyond logic.
Well if you tell me that your religion rejects logic, then it doesn't. All who reject logic allow for P and not-P. You say you reject logic, then I affirm you don't reject logic. The hindu cannot then call foul because of a contradiction, because in so doing he rejects Hinduism.