Perspectival Semantics and the Open Future

In the first part of this paper, we analyze the concept of open future. Our main thesis is that the indeterminateness of the future crucially depends on the perspective from which the propositions containing the future operator are evaluated. For this reason, we offer a perspectival temporal semantics, in which propositions are evaluated with respect to two indexes: the time of evaluation and the time of the perspective. This demonstrates the compatibility of this semantics with both a tensed and a tenseless metaphysics of time. In the second part, we apply the theoretical device of perspectival semantics to the problem of divine foreknowledge, demonstrating that this semantics proves to be promising in the solution of the foreknowledge problem. Finally, we discuss this solution from the point of view of both a tenseless and a tensed conception of the universe.