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According to philosophy (if you believe in that kind of thing) there are 9 ways of knowing something. Both science and religion have 5 of those so obviously they overlap, but religion asks that a leap of faith is taken.
Also, science is based on proving something with tangible evidence and through use of experimentation that can be completed by others who come up with the same result. Religion is faith based, and the word faith literally means having belief in something for which there is no proof. So, for these reasons I believe that they are completely incompatible.
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