The Elements of Logick: In Four Books

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J. Dodsley, 1770 - 370페이지
 

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232 페이지 - ... reasoning, which that study necessarily brings the mind to, they might be able to transfer it .to other parts of knowledge, as they shall have occasion. For, in all sorts of reasoning, every single argument should be managed as a mathematical demonstration : the connexion and dependence of ideas should be followed, till the mind is brought to the source on which it bottoms, and observes the coherence all along, though in proofs of probability one such train is not enough to settle the judgment,...
194 페이지 - ... are equal to two right ones, and things equal to one and the fame thing are equal to one another.
140 페이지 - They may be more diftin&ly and briefly unfolded, by enumerating the compound Ideas of a lower Order, from whofe Union they refult, and which are all fuppofed to be already known, in Confequence of previous Definitions.
135 페이지 - Number, and all equal among themfclvcs, becaufe they are each to fubtend, a fourth Part of the fame Circle. But befides thefe component Parts, we muft alfo take notice of the Manner of putting them together, if we would exhibit the precife Idea, for which the Word Square here ftands.
239 페이지 - ... as there are a great many other ways by which heat might have been communicated to it. And if we cannot argue from the removal of the antecedent to the removal of the consequent, no more can we from the admission of the consequent to the admis.
231 페이지 - I have mentioned mathematics as a way to settle in the mind a habit of reasoning closely and in train; not that I think it necessary that all men should be deep mathematicians, but that, having got the way of reasoning, which that study necessarily brings the mind to, they might be able to transfer it to other parts of knowledge, as they shall have occasion.
233 페이지 - I think should be taught all those who have the time and opportunity, not so much to make them mathematicians as to make them reasonable creatures; for though we all call ourselves so, because we are born to it if we please, yet we may truly say nature gives us but the seeds of it; we are born to be, if we please, rational creatures, but it is use and exercise only that makes us so, and we are indeed so no farther than industry and application has carried us.
256 페이지 - Affirmative, live, or univerfal Negative, a particular Affirmative or particular Negative, which fourfold Divifion, as we have already demonftrated in the fecond Part, embraces all their Varieties ; any one, I fay, of thefe may be inferred, by virtue of fome Syllogifm in the firft Figure. By this means it happens that the Syllogifms of all the other Figures are reducible alfo to Syllogifms of the firft Figure, and may be confidered as {landing on the fame Foundation with them.
244 페이지 - Whoever allows, for inftance, that Things equal to one and the fame Thing are equal to one another...
241 페이지 - The world is either self-existent, or the .?work of some finite or of some infinite being. But it is not self-existent, nor the work of a finite being : Therefore it is the work of an infinite being.

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