infinite number of things exist. That implies that the number of past events cannot be actually infinite. Therefore, the universe cannot be beginningless; rather the universe began to exist. An Objection from Modern Math It’s very frequently alleged that this kind of argument has been invalidated by developments in modern mathematics. In modern set theory the use of actually infinite sets is commonplace. For example, the set of the natural numbers {0, 1, 2, …} has an actually infinite number of members