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Unformatted text preview: Calculus, Part 2 Dealing with the Infinitely Small Newton: Vanishing quantities. Errors, no matter how small, are not be considered in math ematics. (Even infinitesimals cant just be dropped from the final answer.) Leibniz: Infinitesimal quantities Berkeley Theologian, Philosopher, Bishop of Cloyne, near Cork, in the Church of Ireland. In 1734, published The Analyst; or a Discourse Addressed to an Infidel Mathematician, wherein It is examined whether the Object, Principles, and Inferences of the modern Anal ysis are more distinctly conceived, or more evidently deduced, than Religious Mysteries and Points of Faith . Its epigraph was Matthew 7:5: First cast out the beam out of thine own Eye; and then shalt thou see clearly to cast out the mote out of thy brothers eye. His general points was that the foundations of calculus were no clearer or selfevident than the mysteries of revealed religion....
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This note was uploaded on 12/29/2011 for the course MATH 378 taught by Professor Wen during the Fall '10 term at SUNY Stony Brook.
 Fall '10
 wen
 Calculus

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