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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 self-evident 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