The Development of Greek Philosophy

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W. Blackwood and sons, 1908 - 326 страници

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Страница 21 - Pythagoras turned the study of geometry into the form of a liberal education, for he examined its principles to their foundation, and investigated its theorems without restriction to matter, and in a way purely intellectual.
Страница 121 - ... fashioned in the beginning. If then we would really declare its creation in the manner whereby it has come to be, we must add also the nature of the Errant Cause, and its moving power.1 This is quite a different figure from the Necessity of the Republic.
Страница 45 - This order, the same for all things, no one of gods or men has made, but it always was, and is, and ever shall be, an ever-living fire, kindling according to fixed measure, and extinguished according to fixed measure.
Страница 264 - To the universe as a whole, and to every part of it, the distinction is made applicable.
Страница 21 - ... number series. And it is characteristic of the Greek attitude of mind towards natural phenomena, that where the facts observed were not sufficient for the establishment of complete analogies, imagination was called in to supply what was required : " The so-called Pythagoreans, who applying themselves to mathematics, were the first to bring these studies into prominence, and by being trained exclusively therein, came to think that what was the foundation of mathematics was the foundation of all...
Страница 173 - The same thing cannot belong and not belong to the same thing at the same time and in the same respect.
Страница 37 - This writing argues against those who uphold a Many, and gives them back as good and better than they gave ; its aim is to show that their assumption of multiplicity will be involved in still more absurdities than the assumption of unity, if it is sufficiently worked out.
Страница 85 - ... but we soon discovered that his discourse was a perpetual effort to betray the company into attempts to prove self-evident propositions ; a practice in which he seems to have followed the example of that deep philosopher, who denied motion,
Страница 221 - It is, however, only when separated that it is its true self, and this, its essential nature, alone is immortal and eternal. But we do not remember because this is impassive, while the intellect which can be affected is perishable and without this does not think at all.

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