Sextus Empiricus Against the Arithmeticians

✍ Scribed by Lorenzo Corti

• Tongue: English
• Leaves: 238
• Category: Library

✦ Table of Contents

Contents
Acknowledgements
Introduction
1 Sextus’ Life and Works
2 Against the Professors: a Glance at Sextus’ Targets, Method, and Sources
3 Against the Arithmeticians: an Introductory Overview
4 Originality and Interest of the Present Work
Translation
Commentary
Chapter 1 M IV 1: Quantities, Number, and Arithmetic
1 Textual Remarks
2 Sextus’ Distinction of Continuous and Discrete Quantities and Its Aristotelian Origin
3 Arithmetic, Philosophy of Number, and Sextus’ Strategy in M IV
Chapter 2 M IV 2–10: The Derivation System, the Old Academy, and Posidonius
1 Textual Remarks
2 Notes on the Translation
3 What Is the Ultimate Origin of the Dogmatic Doctrine Described in M IV 2–10?
4 Sextus’ Accounts of the Pythagorean Doctrine at M IV 2–10 and at M VII 92–109, and Posidonius
Chapter 3 M IV 11–20: Sextus’ Attack on the One
1 Textual Remarks
2 The Two ‘Platonic’ Characterisations of the One (M IV 11)
3 The Argument in Support of the Platonist Conception of the One (M IV 11–13)
4 The First Cluster of Arguments against the Platonist Conception of the One (M IV 14–18)
5 The Second Argument against the Platonist Conception of the One (M IV 18–20)
Chapter 4 M IV 21–2: Sextus’ Attack on the Two
1 Textual Remarks
2 Sextus’ Argument against the Number Two: M IV 21–2 in the Light of M X 308–9
3 The Origin of the Puzzle: Plato, Phaedo 96e–97b, 101 b–c
4 Number and Generation: PH III 164–5 and M X 323, 328–30
Chapter 5 M IV 23–30: Sextus’ Attack on Number Conceived of as the Result of the Subtraction of a Unit
1 Introduction
2 M IX 311–20 and PH III 88–93
3 M IV 23–30 in the Light of the loci similes
4 M IV 24–5: Number, Whole, and Substance
Chapter 6 M IV 31–4: Sextus’ Attack on Number Conceived of as the Result of the Addition of a Unit
1 Introduction
2 M IV 31–2: Number, Units, and Conceptual Parts
3 M IV 33: Number, Addition, and Generation
Conclusion
Bibliography
Index of Citations
General Index