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  • ISBN: 9780226398976
  • ISBN10: 0226398978

Berkeley's Philosophy of Mathematics

by Douglas M. Jesseph

  • List Price: $114.00
  • Binding: Hardcover
  • Publisher: Univ of Chicago Pr
  • Publish date: 09/01/1993
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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 thePrinciples Geometry in theNew 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 theAnalyst The Calculus in thePhilosophical Commentaries The Essay "Of Infinites" ThePrinciplesand Other Works 6. Berkeley and the Calculus: TheAnalyst 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 TheAnalystEvaluated 7. The Aftermath of theAnalyst Berkeley's Disputes with Jurin and Walton Other Reponses to Berkeley The Significance of theAnalyst Conclusions Bibliography Index
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