The Works of Dugald Stewart: Elements of the philosophy of the human mindHilliard and Brown, 1829 |
From inside the book
Results 1-5 of 87
Page 20
... whole , does of itself import ? And he that knows that the word whole stands for what is made up of all its parts , knows very little less , than that the whole is equal to all its parts . ' And upon the same ground , I think , that ...
... whole , does of itself import ? And he that knows that the word whole stands for what is made up of all its parts , knows very little less , than that the whole is equal to all its parts . ' And upon the same ground , I think , that ...
Page 22
... whole is greater than a part ; ' and , in brief , all axioms in arithmetic and geometry . These are , in effect , but so many exposi- tions of our own general notions , taken in different views . Some of them are no more than ...
... whole is greater than a part ; ' and , in brief , all axioms in arithmetic and geometry . These are , in effect , but so many exposi- tions of our own general notions , taken in different views . Some of them are no more than ...
Page 23
... whole in the one is regarded as a part of something else in the other ; such propositions lead to the discovery of innumerable and apparently re- mote relations . One added to four may be accounted no other than a definition of the word ...
... whole in the one is regarded as a part of something else in the other ; such propositions lead to the discovery of innumerable and apparently re- mote relations . One added to four may be accounted no other than a definition of the word ...
Page 24
... whole is greater than a part , " and that " Things equal to the same thing , are equal to one another ; " proposi- tions which , however clearly their truth be implied in the meaning of the terms of which they consist , cannot certainly ...
... whole is greater than a part , " and that " Things equal to the same thing , are equal to one another ; " proposi- tions which , however clearly their truth be implied in the meaning of the terms of which they consist , cannot certainly ...
Page 26
... whole body of that science . " + " That there is something fundamentally erroneous in these very strong statements with respect to the relation which Euclid's axioms bear to the geometrical theorems which follow , appears sufficiently ...
... whole body of that science . " + " That there is something fundamentally erroneous in these very strong statements with respect to the relation which Euclid's axioms bear to the geometrical theorems which follow , appears sufficiently ...
Other editions - View all
Common terms and phrases
abstract analogy analysis annexed appear applied argument Aristotelian logic Aristotle Aristotle's assertion attention axioms Bacon c'est circumstances concerning conclusions Condillac conjecture connexion consequence considered deduced definitions demonstration Descartes discovery distinction doctrine Dugald Stewart employed equal Essay Euclid evidence existence experience expressed fact faculties farther final causes foregoing former geometry Gillies hypothesis idea illustration induction inductive logic inference inquiries instance intellectual intuition judgment knowledge language laws Leibnitz Locke logic logician Lord Bacon Lord Monboddo mathematical mathematicians maxims means Mechanical Philosophy ment metaphysical moral natural philosophy nature necessary notions object observation occasion opinion Organon particular passage phenomena philosophical phraseology physical precision present principles proof proposition quæ question quod readers reasoning Reid remark respect says seems Sophisms species speculations supposed supposition syllogism syllogistic theorem theory thing tion triangle truth universe University of Dublin word writers καὶ
Popular passages
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.