This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1845 Excerpt: ...confute this proposition, that the proportion of inequality is quantity, of equality, not quantity. And first, you object that equality and inequality are in the same predicament: a pretty argument to flesh a young scholar in the logic school, Lesson in. that but now begins to learn the predicaments. orthefauite But ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1845 Excerpt: ...confute this proposition, that the proportion of inequality is quantity, of equality, not quantity. And first, you object that equality and inequality are in the same predicament: a pretty argument to flesh a young scholar in the logic school, Lesson in. that but now begins to learn the predicaments. orthefauite But what do you mean by eequate and inequale? that occur in j)0 yOU mean corpus cequale, and corpus inequale? demonstration. J. They are both in the predicament of substance, neither of them in that of quantity. Or do you mean cequalitas and inccqualitas? They are both in the predicament of relation, neither of them in that of quantity; and yet both corpus and incequalitas, though neither of them be quantity, may be quanta, that is, both of them have quantity. And when men say body is quantity, or inequality is quantity, they are no otherwise understood, than if they had said corpus est tantum, and incequalitas tanta, not tantitas; that is, bodies and inequalities are so much, not somuchness; and all intelligent men are contented with that expression, and yourselves use it. And the quantity of inequality is in the predicament of quantity, because the measure of it is in that line by which one quantity exceeds the other. But when neither exceedeth the other, then there is no line of excess, or defect by which the equality can be measured, or said to be so much, or be called quantity. Philosophy teacheth us how to range our words; but Aristotle's ranging them in his predicaments doth not teach philosophy; and therefore no argument taken from thence, can become a doctor and a professor of geometry. To prove that the proportion of inequality was quantity, but the proportion of equality not quantity, my argument was this: that because one inequality may ...
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