Elements of the Philosophy of the Human Mind, Volúmenes1-2E. and E. Hosford, 1822 - 280 páginas |
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Página 33
... Geometry : which afford so remarkable an illustra- tion of the general doctrine , as can scarcely fail to be satisfactory , even to those , who are the most disposed to doubt the efficacy of art in di- recting the exertions of genius ...
... Geometry : which afford so remarkable an illustra- tion of the general doctrine , as can scarcely fail to be satisfactory , even to those , who are the most disposed to doubt the efficacy of art in di- recting the exertions of genius ...
Página 35
... geometry . A variety of such occur to every experi- enced mathematician in the course of his inquiries , although , perhaps , he may not be at the trouble to state them to himself in words ; and it would plainly have saved him much ...
... geometry . A variety of such occur to every experi- enced mathematician in the course of his inquiries , although , perhaps , he may not be at the trouble to state them to himself in words ; and it would plainly have saved him much ...
Página 65
... geometry , must have observed many cases , in which the truth of a theorem struck him the moment he heard the enunciation . I do not allude to those theorems the truth of which is obvious almost to sense , such as , that any two sides ...
... geometry , must have observed many cases , in which the truth of a theorem struck him the moment he heard the enunciation . I do not allude to those theorems the truth of which is obvious almost to sense , such as , that any two sides ...
Página 82
... geometry . By dwelling long on Euclid's first definitions , they lead the student to sup- pose that they relate to notions which are extremely mysterious , and to strain his powers in fruitless attempts to conceive , what cannot ...
... geometry . By dwelling long on Euclid's first definitions , they lead the student to sup- pose that they relate to notions which are extremely mysterious , and to strain his powers in fruitless attempts to conceive , what cannot ...
Página 91
... geometry , we are not liable to adopt the same paradoxical conclu- sions , as in algebra , because the diagrams to which our attention is di- rected , serve as a continual check on our reasoning powers . These diagrams exhibit to our ...
... geometry , we are not liable to adopt the same paradoxical conclu- sions , as in algebra , because the diagrams to which our attention is di- rected , serve as a continual check on our reasoning powers . These diagrams exhibit to our ...
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Términos y frases comunes
abstract acquired analogy appears applied Aristotle ascer association of ideas attention axioms Bacon causes cerning circumstances common commonly conceive conception concerning conclusions Condillac connexion consequence considered degree demonstration discovery doctrine effect efficient causes employed Euclid evidence existence experience expression facts faculties farther foregoing former genius habits human mind illustrate imagination important individuals influence inquiries instance intellectual invention judgment knowledge language laws Leibnitz logic logicians Lord Bacon Malebranche mankind manner mathematical means memory metaphysical moral natural philosophy nature necessary Nominalists notions objects observations occasion operations opinion original particular passage perceive perception person phenomena philosophical philosophy of mind physical Plato pleasure poet political present principles produce propositions quæ quam quod reasoning recollection Reid relations remarks render respect says sensation sense sensible shew species speculations Stilpo supposed supposition syllogism taste theory things thought tion truth Turgot words writers
Pasajes populares
Página 45 - That gravity should be innate, inherent, and essential to matter, so that one body may act upon another at a distance through a vacuum, without the mediation of anything else, by and through which their action and force may be conveyed from one to another, is to me so great an absurdity, that I believe no man, who has in philosophical matters a competent faculty of thinking, can ever fall into it.
Página 150 - I behold like a Spanish great galleon, and an English man-of-war ; Master Jonson (like the former) was built far higher in learning ; solid, but slow in his performances. Shakespeare with the English man-ofwar, lesser in bulk, but lighter in sailing, could turn with all tides, tack about and take advantage of all winds, by the quickness of his wit and invention.
Página 11 - 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 Eternal Father, for where is not he Present?
Página 153 - And when I die, be sure you let me know Great Homer dy'd three thousand years ago. Why did I write? what sin to me unknown Dipt me in Ink, my parents, or my own? As yet a child, nor yet a fool to fame, I lisp'd in numbers, for the numbers came. I left no calling for this idle trade, No duty broke, no father disobey'd. The Muse but serv'd to ease some friend, not Wife, To help me thro...
Página 237 - It is true that a little philosophy inclineth man's mind to atheism, but depth in philosophy bringeth men's minds about to religion. For, while the mind of man looketh upon second causes scattered, it may sometimes rest in them and go no further, but, when it beholdeth the chain of them confederate and linked together, it must needs fly to Providence and Deity.
Página 181 - I had rather believe all the fables in the Legend, and the Talmud, and the Alcoran, than that this universal frame is without a mind.
Página 65 - One of these is the proposition that any two sides of a triangle are greater than the third side.
Página 127 - What is prudence in the conduct of every private family, can scarcely be folly in that of a great kingdom.
Página 115 - He was bred to the law, which is, in my opinion, one of the first and noblest of human sciences ; a science which does more to quicken and invigorate the understanding, than all the other kinds of learning put together ; but it is not apt, except in persons very happily born, to open and to liberalize the mind exactly in the same proportion.
Página 105 - 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...