Thomists do not have a standard account of history as a discipline or of historical knowledge in general. Since Thomism is a tradition of thought derived in part from historical figures and their works, it is necessary for Thomists to be able to say how we know what we know about those figures and their works. In this paper, I analyze the notion of history both in its contemporary senses and in how it was used by Aristotle and Aquinas. I (...) show briefly how intellectual knowledge of the past is possible. Then, I argue that the Thomistic tradition implies a far wider notion of history than is generally recognized, history as study of the past in general, not a science in itself, but an aspect of other sciences. Finally, I indicate how this wider notion of history relates to the ordinary sense of history as an inquiry into the specifically human past and then how such an account fits within contemporary Thomism. (shrink)

Thomists do not have an account of how modern mathematics relates to classical mathematics or more generally fits into the Aristotelian hierarchy of sciences. Rather than treat primarily of Aquinas’s theses on mathematical abstraction, I turn to considering what modern mathematics is in itself, seen from a broadly classical perspective. I argue that many modern quantities can be considered to be, not quantities as such or in themselves, but derived quantities, i.e., quantities that can be defined wholly in terms of (...) the principles of number or magnitude. I also interpret the parts of modern mathematics that study quantitative change as being properly-speaking parts of natural philosophy, for example, probability theory, statistics, calculus, etc. In conclusion, I consider the place that quantity as such has in the order of the world and why we should expect the world to be highly mathematical, as we have found it to be. (shrink)

Thomists do not have a standard account of history as a discipline or of historical knowledge in general. Since Thomism is a tradition of thought derived in part from historical figures and their works, it is necessary for Thomists to be able to say how we know what we know about those figures and their works. In this paper, I analyze the notion of history both in its key contemporary senses and in how it was used by Aristotle and Aquinas. (...) I show briefly how intellectual knowledge of the past is possible. Then, I argue that the Thomistic tradition implies a far wider notion of history than is generally recognized, history as study of the past in general, not a science in itself, but an aspect of other sciences. Finally, I indicate how this wider notion of history relates to the ordinary sense of history as an inquiry into the specifically human past and then how such an account fits within contemporary Thomism. (shrink)