PrefaceWorks Frequently CitedIntroduction1. Abstraction and the Berkeleyan Philosophy of MathematicsAristotelian and Scholastic BackgroundSeventeenth-Century BackgroundBerkeley's Case against Abstract IdeasSources of Berkeley's Antiabstractionism2. Berkeley's New Foundations for GeometryThe Early ViewAbstraction and Geometry in the PrinciplesGeometry in the New Theory of Vision Geometry and Abstraction in the Later Works3. Berkeley's New Foundations for ArithmeticGeometry versus ArithmeticNumbers as Creatures of the MindThe Nonabstract Nature of NumbersBerkeley's Arithmetical FormalismAlgebra as an Extension of ArithmeticThe Primacy of Practice over TheoryBerkeley's Formalism Evaluated4. Berkeley and the Calculus: The BackgroundClassical Geometry and the Proof by ExhaustionInfinitesimal MathematicsThe Method of IndivisiblesLeibniz and the Differential CalculusThe Newtonian Method of Fluxions5. Berkeley and the Calculus: Writings before the Analyst The Calculus in the Philosophical CommentariesThe Essay "Of Infinites"The Principles and Other Works6. Berkeley and the Calculus: The Analyst The Object of the CalculusThe Principles and Demonstrations of the CalculusThe Compensation of Errors ThesisGhosts of Departed Quantities and Other Vain AbstractionsThe Analyst Evaluated7. The Aftermath of the Analyst Berkeley's Disputes with Jurin and WaltonOther Reponses to BerkeleyThe Significance of the Analyst ConclusionsBibliographyIndex
Douglas M. Jesseph (Author)
Douglas M. Jesseph is assistant professor of philosophy at North Carolina State University.