 Various questions about infinity naturally arise in the course of theorizing about ontology. If mathematical objects exist, are there infinitely many of them? Do individual infinite objects like the ones mentioned above exist, in addition to the infinitely many individual finite numbers? This article will not directly discuss the question of whether and in what sense mathematical objects exist. Instead, we will focus on the question of whether the infinities discussed above exist in the same sense as the finite integers. For more on the general questions of mathematical existence, see the entries on:  logic and ontology,  philosophy of mathematics,  platonism in the philosophy of mathematics,  nominalism in the philosophy of mathematics,  fictionalism in the philosophy of mathematics,  naturalism in the philosophy of mathematics, and  logicism and neologicism.