Elements of the Philosophy of the Human Mind, Volumen2Archibald Constable & Company, 1821 |
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Página 28
... angles ( for example ) are equal to one anc ther ; " that " when one straight line falling on two other straight lines makes the two in terior angles on the same side less than two right angles , these two straight lines , if pro- duced ...
... angles ( for example ) are equal to one anc ther ; " that " when one straight line falling on two other straight lines makes the two in terior angles on the same side less than two right angles , these two straight lines , if pro- duced ...
Página 30
... angles of reflection and refraction lie in one and the same plane with the angle of incidence . " AXIOM II . " The angle of reflection is equal to the angle of incidence . " AXIOM III . " If the refracted ray be turned directly back to ...
... angles of reflection and refraction lie in one and the same plane with the angle of incidence . " AXIOM II . " The angle of reflection is equal to the angle of incidence . " AXIOM III . " If the refracted ray be turned directly back to ...
Página 32
... angles of incidence and re- flection ; the proportionality of the sines of incidence and refrac- tion ; are principles of reasoning in catoptrics and in dioptrics . In a sense perfectly analogous to this , the definitions of geometry ...
... angles of incidence and re- flection ; the proportionality of the sines of incidence and refrac- tion ; are principles of reasoning in catoptrics and in dioptrics . In a sense perfectly analogous to this , the definitions of geometry ...
Página 64
... angles , ( 6 or relations of the sides . So far he may abstract . But this will 66 never prove that he can frame an abstract general inconsistent " idea of a triangle . " 66 66 Upon this passage Dr. Reid makes the following remark ...
... angles , ( 6 or relations of the sides . So far he may abstract . But this will 66 never prove that he can frame an abstract general inconsistent " idea of a triangle . " 66 66 Upon this passage Dr. Reid makes the following remark ...
Página 65
... angles , or relations of the sides ; " and also , that " we may reason concerning Peter or John , considered so " far forth as man , or so far forth as animal . " About these facts there is but one opinion ; and the only question is ...
... angles , or relations of the sides ; " and also , that " we may reason concerning Peter or John , considered so " far forth as man , or so far forth as animal . " About these facts there is but one opinion ; and the only question is ...
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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.