Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/23

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The Analyst.
13

VIII. It muſt indeed be acknowledged, the modern Mathematicians do not conſider theſe Points as Myſteries, but as clearly conceived and maſtered by their comprehenſive Minds. They ſcruple not to ſay, that by the help of theſe new Analytics they can penetrate into Infinity it ſelf: That they can even extend their Views beyond Infinity: that their Art comprehends not only Infinite, but Infinite of Infinite (as they expreſs it) or an Infinity of Infinites. But, notwithſtanding all theſe Aſſertions and Pretenſions, it may be juſtly queſtioned whether, as other Men in other Inquiries are often deceived by Words or Terms, ſo they likewiſe are not wonderfully deceived and deluded by their own peculiar Signs, Symbols, or Species. Nothing is eaſier than to deviſe Expreſſions or Notations for Fluxions and Infiniteſimals of the firſt, ſecond, third, fourth and ſubſequent Orders, proceeding in the ſame regular form without end or limit &c. or dx. ddx. dddx. ddddx &c. Theſe Expreſſions indeed are clear and diſtinct, and the Mind finds no difficulty in conceiving them to be continued beyond any aſſignable Bounds.

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