The Elements of Logick: In Four Books ... Design'd Particularly for Young Gentlemen at the University, and to Prepare the Way to the Study of Philosophy and Mathematics

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R. Dodsley, 1748 - Logic - 363 pages
 

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Page 224 - 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.
Page 272 - Compofition we are as yet unacquainted with, but want if poffible to difcover. The Manner of proceeding in this Cafe is, by taking the Whole to Pieces, and examining the Parts feparately one after another.
Page 49 - ... is distinguished by the name of a hundred. Again, ten hundred is called a thousand, at which period the computation begins anew, running through all the former combinations, as ten thousand, a hundred thousand, ten hundred thousand ; which last collection, for the reasons mentioned above, has the name of million appropriated to it. With this million, we can begin as before...
Page 234 - ... heat ; inasmuch 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.
Page 146 - I have the Idea of a Circle in my Mind, that therefore a Figure anfwering to that Idea, has a real Exiftence in Nature.
Page 234 - Antecedent, we muft alfo admit the Confequent. But as there are other Ways by which a Stone may gather Heat, it will not follow, from the ceafing of the before-mentioned Condition, that therefore the Confequent cannot take place.
Page 208 - And here it may be observed, that where the general idea, to •which particular objects are referred, is very familiar to the mind, and frequently in view ; this reference, and the application of the general name, seem to be made without any apparatus of reasoning.
Page 209 - Happinefs, turn wholly upon this Article. Is it not the chief Employment of our feveral Courts of Judicature, to determine in particular Inftances, what is Law, Juftice, and Equity ? Of what Importance is it in many Cafes, to decide aright, whether an Action...
Page 132 - Reach and Capacity of the Mind. When we fee a prodigious Multitude of Men, jumbled together in Crowds, without Order, or any regular Pofition, we find it impoffible to arrive at an exa& Knowledge of their Number.
Page 187 - ... adds, by way of corollary, that all the three angles of any one triangle taken together, are equal to all the three angles of any other triangle, taken together...

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