This came up in a thread about Islam, but I think it deserves its own thread.
How much does a person have to believe about God for him/her to believe in the same God in whom Catholics believe?
Do Jews believe in the same God as Catholics? (I think so.)
Do Muslims? (I think so.)
Do Mormons? (I think so, though this is tougher.)
You can press the principles:
Do Lutherans believe in the same Jesus as Catholics do? The reason I throw this in is that Lutherans and Catholics disagree about some of the details of Jesus’s life. For instance, Catholics believe Jesus gave Peter and his successors authority over the Chruch he founded; Lutherans do not believe this (at least not in the way Catholics do). Do Lutherans and Catholics believe in the same Jesus (refer to the same individual, but differ in our understanding of what Jesus intended)? Or do Catholics believe in the real Jesus, while Lutherans believe in some “Jesus” of their own imagining (who did not give Peter and his successors authority)? (I believe Lutherans and Catholics believe different things about the same Jesus.)
It seems to me that someone could have some wrong opinions about God (that he inspired the Qur’an, or the Book of Mormon) and still be referring to the same God. As long as someone says that God is the only God there is (there are not many gods), then he/she is referring to the same Being as I am.