In this first modern, critical assessment of the place of
mathematics in Berkeley's philosophy and Berkeley's place in the
history of mathematics, Douglas M. Jesseph provides a bold
reinterpretation of Berkeley's work. Jesseph challenges the
prevailing view that Berkeley's mathematical writings are
peripheral to his philosophy and argues that mathematics is in fact
central to his thought, developing out of his critique of
abstraction. Jesseph's argument situates Berkeley's ideas within
the larger historical and intellectual context of the Scientific
Revolution. Jesseph begins with Berkeley's radical opposition to
the received view of mathematics in the philosophy of the late
seventeenth and early eighteenth centuries, when mathematics was
considered a science of abstractions. Since this view seriously
conflicted with Berkeley's critique of abstract ideas, Jesseph
contends that he was forced to come up with a nonabstract
philosophy of mathematics. Jesseph examines Berkeley's unique
treatments of geometry and arithmetic and his famous critique of
the calculus in The Analyst. By putting Berkeley's mathematical
writings in the perspective of his larger philosophical project and
examining their impact on eighteenth-century British mathematics,
Jesseph makes a major contribution to philosophy and to the history
and philosophy of science.
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