What are the problems between science and religion?

Answer 1

To the extent that religion wants to claim to be true, it can be disproven by science.

To the extent that religion wants to claim to be mysterious, unknowable, and a poem, there is no conflict.

Answer 2

Science and religion appear to offer conflicting visions about how the universe works. Science tries to identify laws of nature, which describe the universe in mathematical terms; certain things happen in certain ways because that is how the universe is, as we have observed it. Religion is concerned with the actions and motives of God and sometimes other supernatural beings, who created and control the universe and who are responsible for the way things happen, rather than laws of nature. Scientists generally see events as being accidental and unplanned, religious people generally believe that everything happens in accordance with God's plan.

The biggest ongoing argument between science and religion concerns Darwinian evolution vs. biblical creationism. Did life evolve, or was it created by God? It is sometimes claimed that we can have both of these simultaneously, that God uses evolution as His tool for creating life. The issue is complex.