Abstract

Recently it has been argued that there are conceivable situations in which we would be led to think of our experiences as belonging to two different, entirely disconnected spaces or times. From this it follows that there is no necessity in the claim that all our experiences must be conceived of as belonging together in one space or time. Let us call the claim that all our experiences must belong to one space and time the connectedness hypothesis, and the counterclaim that there are conceivable situations in which we would be led to think of our experiences as belonging to disconnected spaces or times the discreteness hypothesis. Note that neither of these hypotheses is concerned with the nature of physical space or time: the connectedness hypothesis does not affirm that the universe can be composed only of worlds connected by some path through space or time; it affirms merely that whatever the state of the topology of the universe, we can conceive of our experiences only as related within a single space and time; the discreteness hypothesis does not affirm that the universe may be composed of two or more worlds not connected by some path through space or time; it affirms merely that it is possible for us to find ourselves in a situation where our experiences can be divided into two or more disjoint sets, such that the members of one set cannot be placed in any sort of spatiotemporal relation to the members of any other set. Perhaps either hypothesis could be used as a premise toward a conclusion about the nature of the physical world—but that would be another argument.