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according analogy analysis appear applied argument Aristotle attempt attention axioms Bacon bodies called causes circumstances common compared concerning conclusions consequence consideration considered contains definitions demonstration discovery distinction doctrine doubt effect employed equal essential evidence examination example existence experience expressed fact faculties farther figure former geometry given human idea illustration important individual induction inference instance judgment knowledge language laws lead learned less light logic 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 refer Reid relation remark respect rest result rules says seems sense speculations step sufficient supposed syllogism theory thing thought tion true truth understanding universe various whole writers
Page 134 - 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...
Page 63 - 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.
Page 1 - Reason is natural revelation, whereby the eternal Father of light and fountain of all knowledge, communicates to mankind that portion of truth which he has laid within the reach of their natural faculties: revelation is natural reason enlarged by a new set of discoveries communicated by God immediately; which reason vouches the truth of, by the testimony and proofs it gives that they come from God. So that he that takes away reason to make way for revelation, puts out the light of both...
Page 115 - I shall only appeal to the thirty- seventh proposition of the first book, in which it is proved that triangles on the same base, and between the same parallels, are equal...
Page 72 - 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.
Page 158 - 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. This was his anxious care to go out or in at a door or passage, by a certain number of steps from a certain point, or at least so...
Page 331 - You would perceive, by trie sample I have given you, that I make Cleanthes the hero of the dialogue. Whatever you can think of to strengthen that side of the argument, will be most acceptable to me.
Page xii - 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 ; But grateful to acknowledge whence his good Descends ; thither with heart, and voice, and eyes Directed in devotion, to adore And worship God supreme, who made him chief Of all his works : therefore the Omnipotent...
Page 7 - Tis with our judgments as our watches, none Go just alike, yet each believes his own.
Page 241 - 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.