The Collected Works of Dugald Stewart, Τόμος 3T. Constable and Company [etc. ], 1854 |
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Σελίδα 22
... necessary for me to remark , with respect to the foregoing passage from D'Alembert , that he limits the term entirely to an account of the origin of our ideas . " The gene- ration of our ideas , " he tells us , " belongs to metaphysics ...
... necessary for me to remark , with respect to the foregoing passage from D'Alembert , that he limits the term entirely to an account of the origin of our ideas . " The gene- ration of our ideas , " he tells us , " belongs to metaphysics ...
Σελίδα 27
... necessary further to illustrate this subject . It might be thought that , if axioms were propositions perfectly identical , it would be impossible to advance a step , by their means , beyond the simple ideas first perceived by the mind ...
... necessary further to illustrate this subject . It might be thought that , if axioms were propositions perfectly identical , it would be impossible to advance a step , by their means , beyond the simple ideas first perceived by the mind ...
Σελίδα 30
... necessary consequences . " To this view of the subject Dr. Reid has repeatedly given his sanction , at least in the most essential points ; more particu- larly , in controverting an assertion of Locke's , that " no science is , or hath ...
... necessary consequences . " To this view of the subject Dr. Reid has repeatedly given his sanction , at least in the most essential points ; more particu- larly , in controverting an assertion of Locke's , that " no science is , or hath ...
Σελίδα 31
... necessary , must be a necessary truth . Thus , as the axioms in mathematics are all necessary truths , so are all the conclusions drawn from them ; that is , the whole body of that science . " 1 That there is something fundamentally ...
... necessary , must be a necessary truth . Thus , as the axioms in mathematics are all necessary truths , so are all the conclusions drawn from them ; that is , the whole body of that science . " 1 That there is something fundamentally ...
Σελίδα 32
... necessary for me to remark here , that , when I speak of mathematical axioms , I have in view only such as are of the same description with the first nine of those which are prefixed to the Elements of Euclid ; for , in that list , it ...
... necessary for me to remark here , that , when I speak of mathematical axioms , I have in view only such as are of the same description with the first nine of those which are prefixed to the Elements of Euclid ; for , in that list , it ...
Συχνά εμφανιζόμενοι όροι και φράσεις
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 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 volume whole writers
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 349 - Little else is requisite to carry a state to the highest degree of opulence from the lowest barbarism, but peace, easy taxes, and a tolerable administration of justice, all the rest being brought about by the natural course of things.
Σελίδα 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.
Σελίδα 125 - In like manner, when it is said, that " triangles on the same base, and between the same parallels, are equal...
Σελίδα 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.
Σελίδα 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...
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.