Composability and possible worlds
Leibniz indicates that a world is a set of compossible things, however, that a world is a kind of collection of things that God could bring into existence. For not even God can bring into existence a world in which there is some contradiction among its members or their properties. When Leibniz speaks of a possible world, he means a set of compossible, finite things that God could have brought into existence if he were not constrained by the goodness that is part of his nature. The actual world, on the other hand, is simply that set of finite things that is instantiated by God, because it is greatest in goodness, reality and perfection. Naturally, the fact that we are here experiencing this world—the actual world—means that there is at least one possible world. In Leibniz's view, there are an infinite number of possible worlds.Relevant works and influence
Views on "compossibility" and the closely related best of all possible worlds argument are to be found in ''On the Ultimate Origination of Things'', ''The Discourse in Metaphysics'', ''On Freedom'', and throughout his works. The term itself is found in ''The Philosophical Writings III'' 'Die philosophischen Schriften III''when Leibniz writes to Louis Bourguet. Alain Badiou borrows this concept in defining philosophy as the creation of a "space of compossibility" for heterogeneous truths.See also
* David Lewis's ''References
Concepts in metaphysics Gottfried Wilhelm Leibniz Philosophical logic {{philo-stub