Two things are identical if they are really just one thing. Angela Merkel and the Chancellor of Germany are the same thing in this sense. A contingent identity is one where two things happen to be the same, but might not have been. In other words, there is a possible world in which the two are not the same. For example, it is possible for Angela Merkel not to have become Chancellor so this identity is contingent. Mind-brain identity theorists hold that a contingent identity holds between mental states and brain states, so that while they happen to be the same, it is still conceivable that they might have been something else, meaning that there is a possible world in which the mind is some other organ, say, the heart. Such identities cannot be discovered by investigation of the meanings of the terms involved and so can only be established by empirical investigation.