Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/40

30 But this inverted way of demontrating your Principles by your Concluions, as it would be peculiar to you Gentlemen, o it is contrary to the Rules of Logic. The truth of the Concluion will not prove either the Form or the Matter of a Syllogim to be true: inamuch as the Illation might have been wrong or the Premies fale, and the Concluion nevertheles true, though not in virtue of uch Illation or of uch Premies. I ay that in every other Science Men prove their Concluions by their Principles, and not their Principles by the Concluions. But if in yours you hould allow your elves this unnatural way of proceeding, the Conequence would be that you mut take up with the Induction, and bid adieu to Demontration. And if you ubmit to this, your Authority will no longer lead the way in Points of Reaon and Science.

XX. I have no Controvery about your Concluions, but only about your Logic and Method. How you demontrate? What Objects you are converant with, and whether you conceive them clearly? What