Contents -- Preface -- Works Frequently Cited -- Introduction -- 1. Abstraction and the Berkeleyan Philosophy of Mathematics -- Aristotelian and Scholastic Background -- Seventeenth-Century Background -- Berkeley's Case against Abstract Ideas -- Sources of Berkeley's Antiabstractionism -- 2. Berkeley's New Foundations for Geometry -- The Early View -- Abstraction and Geometry in the "Principles" -- Geometry in the "New Theory of Vision" -- Geometry and Abstraction in the Later Works -- 3. Berkeley's New Foundations for Arithmetic -- Geometry versus Arithmetic -- Numbers as Creatures of the Mind -- The Nonabstract Nature of Numbers -- Berkeley's Arithmetical Formalism -- Algebra as an Extension of Arithmetic -- The Primacy of Practice over Theory -- Berkeley's Formalism Evaluated -- 4. Berkeley and the Calculus: The Background -- Classical Geometry and the Proof by Exhaustion -- Infinitesimal Mathematics -- The Method of Indivisibles -- Leibniz and the Differential Calculus -- The Newtonian Method of Fluxions -- 5. Berkeley and the Calculus: Writings before the Analyst -- The Calculus in the "Philosophical Commentaries" -- The Essay "Of Infinities" -- "The Principles" and Other Works -- 6. Berkeley and the Calculus: The Analyst -- The Object of the Calculus -- The Principles and Demonstrations of the Calculus -- The Compensation of Errors Thesis -- Ghosts of Departed Quantities and Other Vain Abstractions -- "The Analyst" Evaluated -- 7. The Aftermath of the "Analyst" -- Berkeley's Disputes with Jurin and Walton -- Other Responses to Berkeley -- The Significance of the "Analyst" -- Conclusions -- Bibliography -- Index.