Elements of the Philosophy of the Human Mind, Volume 2Archibald Constable & Company, 1821 - Psychology |
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Page 17
... theorem , we assent to the conclu- sion ; or , in general , when we pronounce concerning the truth or falsity of any proposition , or the probability or improbability of any event , the power by which we are enabled to perceive what is ...
... theorem , we assent to the conclu- sion ; or , in general , when we pronounce concerning the truth or falsity of any proposition , or the probability or improbability of any event , the power by which we are enabled to perceive what is ...
Page 23
... theorems of which it is so diffi- cult to give a rigorous demonstration , as those , of which persons un- acquainted with the nature of mathematical evidence are apt to say , of their that they require no proof whatever . But the ...
... theorems of which it is so diffi- cult to give a rigorous demonstration , as those , of which persons un- acquainted with the nature of mathematical evidence are apt to say , of their that they require no proof whatever . But the ...
Page 28
... theorems which follow , appears sufficiently from a consideration which was long ago mentioned by Locke , —that from these axioms it is not possible for human ingenuity to deduce a single inference . " It was not ( says Locke ) the ...
... theorems which follow , appears sufficiently from a consideration which was long ago mentioned by Locke , —that from these axioms it is not possible for human ingenuity to deduce a single inference . " It was not ( says Locke ) the ...
Page 29
... theorems which the mathematician demonstrates : And it is this observation ( which , obvious as it may seem , does not appear to have occurred , in all its force , either to Locke , to Reid , or to Campbell , ) that furnishes , if I ...
... theorems which the mathematician demonstrates : And it is this observation ( which , obvious as it may seem , does not appear to have occurred , in all its force , either to Locke , to Reid , or to Campbell , ) that furnishes , if I ...
Page 30
... theorems of ge- ometry rest on the axioms , in the same sense in which they rest on I word the definitions ? or ( to state the question in a manner still more ob- principle vious , ) Whether axioms hold a place in geometry at all ...
... theorems of ge- ometry rest on the axioms , in the same sense in which they rest on I word the definitions ? or ( to state the question in a manner still more ob- principle vious , ) Whether axioms hold a place in geometry at all ...
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abstract analogy analysis angles appear applied argument Aristotelian logic Aristotle Aristotle's assertion axioms Bacon Binomial Theorem c'est circumstances coincidence common concerning conclusions Condillac conjecture connexion consequence considered deduced definitions demonstration discovery distinction doctrine Dugald Stewart employed equal errour Essay Euclid evidence existence experience expressed fact faculties farther final causes foregoing geometer geometry hypotheses idea illustration induction inference inquiries instance intellectual intuition judgment knowledge language laws Leibnitz logic logicians Lord Monboddo mathe mathematical mathematicians maxims means Mechanical Philosophy ment metaphysical moral natural philosophy nature necessary nominalists notions object observation occasion opinion Organon particular passage perceive phenomena philosophical phraseology physical Plato precision present principles proof propositions qu'il quae question quod reasoning Reid remark respect says seems sense shew sophism species speculations supposed supposition syllogism syllogistic theorem theory thing tion triangle truth understanding universe word writers
Popular passages
Page 261 - Whereas the main Business of Natural Philosophy is to argue from Phenomena without feigning Hypotheses, and to deduce Causes from Effects, till we come to the very first Cause, which certainly is not mechanical; and not only to unfold the Mechanism of the World, but chiefly to resolve these and such like Questions.
Page 93 - 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 205 - 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.
Page 257 - ... placed so many valves without design ; and no design seemed more probable than that, since the blood could not well, because of the interposing valves, be sent by the veins to the limbs, it should be sent through the arteries and return through the veins, whose valves did not oppose its course that way.
Page 166 - There are men whose powers operate only at leisure and in retirement, and whose intellectual vigour deserts them in conversation ; whom merriment confuses, and objection disconcerts : whose bashfulness restrains their exertion, and suffers them not to speak till the time of speaking is past ; or whose attention to their own character makes them unwilling to utter at hazard what has not been considered, and cannot be recalled.
Page 128 - ... 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 62 - 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 128 - I have, upon innumerable occasions, observed him suddenly stop, and then seem to count his steps with a deep earnestness ; and when he had neglected or gone wrong in this sort of magical movement, I have seen him go back again, put himself in a proper posture to begin the ceremony, and, having gone through it, break from his abstraction, walk briskly on, and join his companion'.
Page 128 - ... by a certain number of steps from a certain point, or at least so as that either his right or his left foot (I am not certain which) should constantly make the first actual movement when he came close to the door or passage. Thus I conjecture : for I have, upon innumerable occasions, observed him suddenly stop, and then seem to count his steps with a deep earnestness; and when he had neglected or gone wrong in this sort of magical movement...
Page 205 - By this way of analysis we may proceed from compounds to ingredients; and from motions to the forces producing them; and in general, from effects to their causes; and from particular causes to more general ones, till the argument end in the most general.