Abstract

This book examines the place of mathematics in Berkeley's philosophy and Berkeley's place in the history of mathematics. Beginning with an account of the traditional "abstractionist" philosophy of mathematics which Berkeley opposed, it examines his case against abstract ideas as well as his differing accounts of arithmetic and geometry. Berkeley's critique of the calculus is also examined in detail, beginning with a historical treatment of the origins of the calculus, proceeding to analyze Berkeley's objections in his 1734 work "The Analyst", and studying some of the many responses to Berkeley