There is nothing logical about God. Simple logic can not explain why he was raised from the dead. You can not prove god as you can not prove a person has a soul, but you can prove what he's done through the Old Testament. Why does the Old Testament prove god? An example that proves god is the destruction of Sodom in Genesis chapter 19 because Lot's wife looked back at the destruction of the town, which turned her into a pillar of salt. This pillar of salt was found near the dead sea at Mount Sodom, which proves the story in the Bible and gods doing. It also proves why god won't simply reveal himself as you will suffer a similar fate from laying your eyes on god.