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according analogy analysis appear applied argument Aristotle attempt attention axioms bodies called causes circumstances common concerning conclusions consequence consideration considered definition demonstration discovery distinction doctrine edit effect Elements employed equal Essay essential evidence examination example existence experience expressed fact faculties former geometry give given human idea illustration important individual induction inference instance intellectual judgment knowledge known language latter laws learned less light logical manner mathematical means method mind moral nature necessary Note notions object observation occasion opinion original particular passage phenomena philosophical physical possible precision present principles probable proof proposition question readers reasoning reference Reid relations remark respect rest result rules says seems sense speculations step sufficient supposed theory things thought tion true truth understanding universe various whole writers
Side 73 - For if we will reflect on our own ways of thinking, we shall find, that sometimes the mind perceives the agreement or disagreement of two ideas immediately by themselves, without the intervention of any other : and this I think we may call intuitive knowledge.
Side 82 - I demonstrated the proposition of the abstract idea of a triangle. [And here it must be acknowledged that a man may consider a figure merely as triangular, without attending to the particular qualities of the angles, or relations of the sides. So far he may abstract; but this will never prove that he can frame an abstract, general, inconsistent idea of a triangle.
Side 125 - In like manner, when it is said, that " triangles on the same base, and between the same parallels, are equal...
Side 170 - He had another particularity, of which none of his friends ever ventured to ask an explanation. It appeared to me some superstitious habit which he had contracted early, and from which he had never called upon his reason to disentangle him.
Side 8 - There wanted yet the master-work, the end Of all yet done — a creature who, not prone And brute as other creatures, but endued With sanctity of reason, might erect His stature, and upright with front serene Govern the rest, self -knowing, and from thence Magnanimous to correspond with Heaven...
Side 146 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Side 273 - As in mathematics, so in natural philosophy, the investigation of difficult things by the method of analysis, ought ever to precede the method of composition. This analysis consists in making experiments and observations, and in drawing general conclusions from them by induction, and admitting of no objections against the conclusions, but such as are taken from experiments, or other certain truths.
Side 256 - At inductio, quae ad inventionem et demonstrationem scientiarum et artium erit utilis, naturam separare debet, per rejectiones et exclusiones debitas; ac deinde post negativas tot quot sufficiunt, super affirmativas conclu.dere; quod adhuc factum non ,est, nec tentatum certe, nisi tantummodo a Platone, qui ad excutiendas definitiones et ideas, hac certe forma inductionis aliquatenus utitur.
Side 66 - There is a certain degree of sense," says this last author, in his essays on the Intellectual Powers of Man, " which is necessary to our being subjects of law and government, capable of managing our own affairs, and answerable for our conduct to others. This is called common sense, because it is common to all men with whom we can transact business.