Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/97

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The Analyst.
87

qual Quotients? And yet whether ſuch Coefficient can be interpreted by o or nothing? Or whether any one will ſay, that if the Equation 2 × o = 5 × o, be divided by o, the Quotients on both Sides are equal? Whether therefore a Caſe may not be general with reſpect to all Quantities, and yet not extend to Nothings, or include the Caſe of Nothing? And whether the bringing Nothing under the Notion of Quantity may not have betrayed Men into falſe Reaſoning?

Qu. 41. Whether in the moſt general Reaſonings about Equalities and Proportions, Men may not demonſtrate as well as in Geometry? Whether in ſuch Demonſtrations, they are not obliged to the ſame ſtrict Reaſoning as in Geometry? And whether ſuch their Reaſonings are not deduced from the ſame Axioms with thoſe in Geometry? Whether therefore Algebra be not as truly a Science as Geometry?

Qu. 42. Whether Men may not reaſon in Species as well as in Words? Whether

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