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| INTRODUCTION | vi |
| Certain general introductory remarks on the inner workings of mathematics | I |
| Chapter 1: A comparison of mathematics to metaphysics and to magic. The number and order of the books that make up the completeness of this Science | 1 |
| Chapter 2: Reciting first the universal causes of human error. Second, it lists the faults and damages that happen in mathematics because of them. Third, it touches generally on the way remedies are possible, with a promise of those remedies in this treatise | 4 |
| Chapter 3: In which the first utility and praise of mathematics is suggested as something to be sought. It describes how these were shown in a universal treatise in metaphysics. Second, it moves to specific ways of proving this in this volume. It chooses one of those ways using elegant authorities. In this chapter, authorities of those who are purely philosophers are introduced | 6 |
| Chapter 4: In which authorities more closely related to divine matters are introduced. First, he gives the reason for this. Second, he presents them | 8 |
| Chapter 5: In which the utility of mathematics is shown through what is contained in other sciences. He shows this first in grammar, and second in logic from the book of Categories original: "Predicamentorum," one of Aristotle's logical works | 11 |
| Chapter 6: In which the utility of mathematics is shown through the medium of logic which is the Book of Demonstrations original: "Liber Demonstracionum," referring to Aristotle's Posterior Analytics. First, he excuses himself from arguing through examples. Second, he approaches the main intention | 14 |
| Chapter 7: In which the utility of mathematics is proven by the goal of logic. First, he declares what that goal is. Second, he argues for his proposal | 16 |