Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/84

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74
The Analyst.

XLIX. Although momentaneous Increments, naſcent and evaneſcent Quantities, Fluxions and Infiniteſimals of all Degrees, are in truth ſuch ſhadowy Entities, ſo difficult to imagine or conceive diſtinctly, that (to ſay the leaſt) they cannot be admitted as Principles or Objects of clear and accurate Science: and although this obſcurity and incomprehenſibility of your Metaphyſics had been alone ſufficient, to allay your Pretenſions to Evidence; yet it hath, if I miſtake not, been further ſhewn, that your Inferences are no more juſt than your Conceptions are clear, and that your Logics are as exceptionable as your Metaphyſics. It ſhould ſeem therefore upon the whole, that your Concluſions are not attained by juſt Reaſoning from clear Principles; conſequently that the Employment of modern Analyſts, however uſeful in mathematical Calculations, and Conſtructions, doth not habituate and qualify the Mind to apprehend clearly and infer juſtly; and conſequently, that you have no right in Virtue of ſuch Habits, to dictate out of your proper Sphere, beyond which

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