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Intro; Acknowledgments; Contents; Contributors; Chapter 1: Introduction: Infinity in Early Modern Philosophy; References; Chapter 2: Descartes's ens summe perfectum et infinitum and its Scholastic Background; 2.1 Introduction; 2.2 The Scholastic Debate on the Ratio Formalis of God's Infinity; 2.3 Descartes's Ens Summe Perfectum et Infinitum; 2.4 Is There a Historical Relationship Between Descartes and the Debate on the Ratio Formalis of God's Infinity?; References; Chapter 3: The Ontic and the Iterative: Descartes on the Infinite and the Indefinite; 3.1 Introduction; 3.2 Three Distinctions
3.3 The Epistemological Distinction: Ignorance3.4 The Metaphysical Distinction: Respects; 3.5 The Metaphysical Distinction: Cardinality; 3.6 The Ontic Reading; References; Chapter 4: Descartes on the Infinity of Space vs. Time; 4.1 Introduction; 4.2 Letter to Chanut I: Space; 4.3 Digression: Imaginary Space; 4.4 Letter to Chanut II: Time; 4.5 Cartesian Duration and Time; 4.6 Creation from Eternity; 4.7 The Mereological Independence Doctrine; 4.8 Temporal Infinitists; 4.9 Descartes and Early Spinoza; 4.10 Conclusion; References
Chapter 5: "A Substance Consisting of an Infinity of Attributes": Spinoza on the Infinity of Attributes5.1 Introduction; 5.2 Bennett on the Infinity of the Attributes; 5.3 The Textual Evidence; 5.4 Responses to Bennett's Arguments; 5.5 Conclusion; References; Chapter 6: Infinity in Spinoza's Therapy of the Passions; 6.1 Introduction; 6.2 The Role of Necessity in Therapy; 6.3 The Role of Infinity in Necessity; 6.4 Perspectives on Infinity. The Twofold Distinction; 6.5 Species of Infinity. The Threefold Distinction; 6.6 Concluding Remarks; References
Chapter 7: The Road to Finite Modes in Spinoza's Ethics7.1 Introduction; 7.2 The Correspondence with Tschirnhaus; 7.3 Descartes, Extension and the Impossibility of Particular Bodies; 7.4 Back to Spinoza; 7.5 Two Possible Objections; 7.6 Conclusion; References; Chapter 8: All the Forms of Matter: Leibniz, Regis and the World's Infinity; 8.1 Introduction; 8.2 First Pass: Leibniz's Critique of Descartes; 8.3 Second Pass: Regis's Two Replies; 8.4 Third Pass: Leibniz's Two-Part Rejoinder; 8.5 Fourth Pass: Regis on the Indeterminacy of the World
8.6 Fifth Pass (Conjectural): Leibniz on the Infinity of the World8.7 Conclusion: Why Did Leibniz Not Reply?; References; Chapter 9: Leibniz's Early Encounters with Descartes, Galileo, and Spinoza on Infinity; 9.1 Introduction: Leibniz and the Significance of His Encounters; 9.2 Leibniz's Encounter with Descartes; 9.3 Leibniz's Encounter with Galileo; 9.4 Leibniz's Encounter with Spinoza; 9.5 Leibniz Reads Spinoza's Letter on the Infinite; 9.6 Conclusion; References; Chapter 10: Leibniz's Syncategorematic Actual Infinite; 10.1 Introduction; 10.2 The Infinite and Infinitely Small as Fictions
3.3 The Epistemological Distinction: Ignorance3.4 The Metaphysical Distinction: Respects; 3.5 The Metaphysical Distinction: Cardinality; 3.6 The Ontic Reading; References; Chapter 4: Descartes on the Infinity of Space vs. Time; 4.1 Introduction; 4.2 Letter to Chanut I: Space; 4.3 Digression: Imaginary Space; 4.4 Letter to Chanut II: Time; 4.5 Cartesian Duration and Time; 4.6 Creation from Eternity; 4.7 The Mereological Independence Doctrine; 4.8 Temporal Infinitists; 4.9 Descartes and Early Spinoza; 4.10 Conclusion; References
Chapter 5: "A Substance Consisting of an Infinity of Attributes": Spinoza on the Infinity of Attributes5.1 Introduction; 5.2 Bennett on the Infinity of the Attributes; 5.3 The Textual Evidence; 5.4 Responses to Bennett's Arguments; 5.5 Conclusion; References; Chapter 6: Infinity in Spinoza's Therapy of the Passions; 6.1 Introduction; 6.2 The Role of Necessity in Therapy; 6.3 The Role of Infinity in Necessity; 6.4 Perspectives on Infinity. The Twofold Distinction; 6.5 Species of Infinity. The Threefold Distinction; 6.6 Concluding Remarks; References
Chapter 7: The Road to Finite Modes in Spinoza's Ethics7.1 Introduction; 7.2 The Correspondence with Tschirnhaus; 7.3 Descartes, Extension and the Impossibility of Particular Bodies; 7.4 Back to Spinoza; 7.5 Two Possible Objections; 7.6 Conclusion; References; Chapter 8: All the Forms of Matter: Leibniz, Regis and the World's Infinity; 8.1 Introduction; 8.2 First Pass: Leibniz's Critique of Descartes; 8.3 Second Pass: Regis's Two Replies; 8.4 Third Pass: Leibniz's Two-Part Rejoinder; 8.5 Fourth Pass: Regis on the Indeterminacy of the World
8.6 Fifth Pass (Conjectural): Leibniz on the Infinity of the World8.7 Conclusion: Why Did Leibniz Not Reply?; References; Chapter 9: Leibniz's Early Encounters with Descartes, Galileo, and Spinoza on Infinity; 9.1 Introduction: Leibniz and the Significance of His Encounters; 9.2 Leibniz's Encounter with Descartes; 9.3 Leibniz's Encounter with Galileo; 9.4 Leibniz's Encounter with Spinoza; 9.5 Leibniz Reads Spinoza's Letter on the Infinite; 9.6 Conclusion; References; Chapter 10: Leibniz's Syncategorematic Actual Infinite; 10.1 Introduction; 10.2 The Infinite and Infinitely Small as Fictions