Previously Unpublished Works, Fascicle 16

FIFTH DISTINCTION

Chapter 1: Concerning abstraction itself according to its four modes. 58
Chapter 2: Concerning the fifth mode of abstraction. 60
Chapter 3: Whether, besides the considerations of the four principal sciences, abstraction may be found in the sciences of Grammar and Logic. 63 Bacon refers to the Quadrivium: Arithmetic, Geometry, Music, and Astronomy.
Chapter 4: Concerning the types of propositions used in Mathematics. 65
Chapter 5: In which it is shown that definitions are postulates, assumptions, and common notions: it also discusses conclusions. 68 original: "peticiones et supposiciones et concepciones"

PART TWO

FIRST DISTINCTION

Chapter 1: Concerning whole numbers and fractions, descending to their effects and parts. 70
Chapter 2: Concerning the types of greater and lesser inequality. 73
Chapter 3: Concerning proportion, its naming, and its parts. 76 The "naming" of a proportion refers to its numerical ratio or denomination.
Chapter 4: Concerning proportion divided according to Geometry, Arithmetic, and Music: and two errors are excluded along with these. 80

SECOND DISTINCTION

Chapter 1: Concerning the division of proportionality into continuous and discontinuous, and concerning the explanation of the words of Euclid regarding it. 84
Chapter 2: Concerning discontinuous proportionality. 87 original: "discontinua proporcionalitate"
Chapter 3: Concerning the lack of proportion and disproportionate quantities. 90