Abstract

John Tomarchio - Aquinas's Concept of Infinity - Journal of the History of Philosophy 40:2 Journal of the History of Philosophy 40.2 163-187 Aquinas's Concept of Infinity John Tomarchio MUCH HAS BEEN WRITTEN of late about Aquinas's concept of divine infinity, but the attention given to his other metaphysical uses of the term 'infinite' has been peripheral -- sometimes to ill effect in the interpretation of his concept of divine infinity. The intent of this article is to offer an explication of Aquinas's analogical concept of infinity. What Aquinas means when he calls beings or their principles infinite is sufficiently complex that it needs to be analyzed in its own right before his arguments for things' actually being infinite can be evaluated. There is no one place in his writings where Aquinas gives a full treatment of the various metaphysical senses of infinity, and so his view has to be reconstructed from the analysis of sundry texts in juxtaposition. As my intent is to reconstruct his overall theory, I will take up the relevant texts in a logical rather than historical order. I will first address the kind of relative infinity Aquinas predicates of certain principles of things, namely, the matter, form, and existence of finite beings, and then the kind of actual infinity he predicates of certain things, namely angelic substances and God. In the course of doing so, I will identify four global distinctions that run through all these..