Method, Ordinality, Doubt, Mathematics

In #V of the Rules, Descartes asserts that "order" is the essence of Method.  Now, Order is typically expressed by Ordinal numbers, often represented as a sequence of Cardinal numbers.  Thus, his Method of Doubt is governed by Ordinality, not only as evinced by the passage in part II of the Discourse, in which he summarizes "The first . . . the second . . . the third . . . the last", but by his mere enumeration of chapters in both that work and the Meditations.  Furthermore, the Ordinal principle by which any nth term transitions to the (n + 1)th is the basis of Addition, and, hence, of all Arithmetical operations.  Thus, even as Descartes is subjecting Mathematics to his Method, he is presupposing the truth of its propositions.  Indeed, both his evil God and his good God, are likewise governed by Ordinality.