"The greatest of modern have been so far from adding any thing of importance to the discoveries of ancient mathematicians, that some of their most splendid inventions are either wholly erroneous or remarkable instances of the possibility of deducing true conclusions from unscientific and false principles. Strange, however as this assertion may seem, the following elementary treatise demonstrates it to be true; by showing that all the leading propositions of the Arithmetic of Infinites of Dr. Wallis are false, and that the Doctrine of Fluxions is a baseless fabric, and in the language of the ingenious Bishop Berkley, "must be considered only as a presumption, as a knack, an art, or rather an artifice, but not a scientific demonstration."
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Linguists from EnglandUniversity of Cambridge facultyMathematicians from EnglandCryptographersLogicians from England
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Thomas Taylor, Preface, The Elements of the True Arithmetic of Infinites. In Which All the Propositions in the Arithmetic of Infinites Invented by Dr. Wallis, Relative to the Summation of Infinite Series, and, also, the Principle of the Doctrine of Fluxions are Demonstrated to be False; and the Nature of Infinitesimals is Unfolded (1809) p. v.
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John Wallis
John Wallis (November 23, 1616 – October 28, 1703) was an English clergyman and mathematician who is given partial credit for the development of infinitesimal calculus. Between 1643 and 1689 he served as chief cryptographer for Parliament and, later, the royal court. He is credited with introducing the symbol ∞ to represent the concept of infinity. He similarly used 1/∞ for an infinitesimal. He was a contemporary of Newton and one of the greatest intellectuals of the early renaissance of mathema
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