Faith, Fluxions and Impossible Numbers in Berkeley’s Writings of the Early 1730s

Modern Schoolman 80 (1):1-22 (2002)
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Abstract

This article explores George Berkeley's philosophy of mathematics, in comparison with his philosophy of religion, with particular attention to his book, The Analyst, and other contemporaneous texts. Through this comparison, it sheds light on his real attitude to the calculus, as well as other mathematical impossibilities such as negative or imaginary numbers. In both mathematics and religion, Berkeley rejected "barren speculation," but he found value in both from their practical benefits in life. Viewed in this way, it turns out that he really wasn't an enemy of the calculus at all, as he has often been portrayed.

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Jasper Reid
King's College London

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