The Elements of Logic: In Four Books ... |
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Common terms and phrases
according affirmed antece antecedent appear applied aqua regia arise arrive attention bodies called ceptions certainty combinations compared complex ideas complex notions comprehended conceptions conclusion connexion consequent consideration considered constitute contrivance copula deduced definitions demonstration denote discoveries disjunctive proposition Disjunctive Syllogisms distinct distinctly distinguished division enthymemes equal established Euclid evident existence experience explained express farther figure foundation frame furnish genus gisms Hence human knowledge hypothetical syllogism insomuch instance intermediate ideas intuitive invention ject judgments kind known logicians manner mathematicians means method middle term mind modus tollens natural knowledge necessarily nexion notice objects observe operations ourselves particular perceptions plain powers predicate premises principles proceed proper properties proposition reasoning relations rience rieties rules SECTION IV SECTION VII self-evident serve simple ideas species stand step substances suppose syllogisms thence thoughts tion trace true truth understanding universal universal proposition whence whole wholly words
Popular passages
Page 165 - I said above, that the faculties of our souls are improved and made useful to us just after the same manner as our bodies are. Would you have a man write or paint, dance or fence well, or perform any other manual operation dexterously and with ease ; let him have ever so much...
Page 165 - 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 165 - Just so it is in the mind; would you have a man reason well, you must use him to it betimes, exercise his mind in observing the connection of ideas and following them in train.
Page 184 - That in which the middle term is the subject of the major proposition, and the predicate of the minor.
Page 223 - It is owing, entirely to this, and the method of denoting the several combinations of numbers by figures standing in different places, that the most complicated operations in arithmetic are managed with so much ease and dispatch. Nor is it less apparent, that the discoveries made by algebra, are wholly to be imputed to that symbolical language made use of in it. For by this means we are enabled to represent...
Page 71 - For we are naturally led to imagine, that the same objects operate alike upon the organs of the human body, and produce an uniformity of sensations.
Page 127 - BO that we are led to affirm the same thing of different objects, or different things of the same object, the propositions expressing these judgments are called compound; because they may be resolved into as many others, as there are subjects or predicates in the whole complex determination of the mind. Thus, " God is infinitely wise and infinitely powerful." Here there are two predicates,
Page 131 - But if we say, th is world had a beginning ; the assertion is indeed equally true, but shines not forth with the same degree of evidence. We find great difficulty in conceiving how the world could be made out of nothing ; and are not brought to a free and full consent, until by reasoning we arrive at a clear view of the absurdity involved in the contrary supposition.
Page 107 - Thus, that the Whole is greater than any of its Parts, is an intuitive judgment ; nothing more being required to convince us of its truth, than an attention to the ideas of whole and part. And this too is the...
Page 11 - Now this is the precise business of logic — to explain the nature of the human mind, and the proper manner of conducting its several powers, in order to the attainment of truth and knowledge. It lays open those errors and mistakes we are apt through inattention to run into, and teaches us how to distinguish between truth, and what carries only the appearance of it.