Elements of the Philosophy of the Human Mind, Volumen2Archibald Constable & Company, 1821 |
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Página vi
... Geometry ; and with those of Sense and of INDUC- TION , as in the Mechanical Philosophy . - Remarks on a Fun- damental Law of Belief , involved in all our Reasonings con- cerning Contingent Truths II . Continuation of the Subject . - Of ...
... Geometry ; and with those of Sense and of INDUC- TION , as in the Mechanical Philosophy . - Remarks on a Fun- damental Law of Belief , involved in all our Reasonings con- cerning Contingent Truths II . Continuation of the Subject . - Of ...
Página 22
... geometry , to present to my readers a more in- axions pland first teresting and at the same time an easier subject of discussion , than some of the more abstract and latent elements of our knowledge , afterwards to be considered . In ...
... geometry , to present to my readers a more in- axions pland first teresting and at the same time an easier subject of discussion , than some of the more abstract and latent elements of our knowledge , afterwards to be considered . In ...
Página 23
... geometry , there are no 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 ...
... geometry , there are no 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 ...
Página 24
... are equal to one another . The " whole is greater than a part ; and , in belief all axioms in arithme- Book iv , chap . 7 , § 11 , -2 . 3 . 66 66 " tic and geometry . These are , 24 [ chap . 1 . ELEMENTS OF THE PHILOSOPHY.
... are equal to one another . The " whole is greater than a part ; and , in belief all axioms in arithme- Book iv , chap . 7 , § 11 , -2 . 3 . 66 66 " tic and geometry . These are , 24 [ chap . 1 . ELEMENTS OF THE PHILOSOPHY.
Página 25
Dugald Stewart. 66 66 " tic and geometry . These are , in effect , but so many expositions " of our own general notions , taken in different views . Some of " them are no more than definitions , or equivalent to definitions . “ To say ...
Dugald Stewart. 66 66 " tic and geometry . These are , in effect , but so many expositions " of our own general notions , taken in different views . Some of " them are no more than definitions , or equivalent to definitions . “ To say ...
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Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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...
Página 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.
Página 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.
Página 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.
Página 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...
Página 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.
Página 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'.
Página 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...
Página 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.