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If you believe that our conscious existence is caused purely by the interactions of atoms obeying physical laws, then you MUST also believe in reincarnation.
Very interesting argument! I've thought a lot about this myself. If i can distill my thoughts into a single line it would be:
I exist, that is enough evidence for me to believe i will exist again.
From that i can expand and say it could be in another form. It could be me but a different life. It could be exactly the same again.
I do agree, if you believe in something rather than nothing you should believe in reincarnation.