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"from both these schools, then, we can learn this much, that the contraries are the principles of things; and how many these principles are and which they are, we can learn from one of the two schools. |
cannot be remov'd. him and his sleeping slaves he slew; then spies where remus, with his rich retinue, lies. |
in order to avoid having a syllogism drawn against us we must take care, whenever an opponent asks us to admit the reason without the conclusions, not to grant him the same term twice over in his premisses, since we know that a syllogism cannot be drawn |
two. let ac : ce :: gc : cb, to prove the parallelograms ab, four hundred are equal. |
now we may agree that the primary materials, whose change (whether it be 'association and dissociation' or a process of another kind) results in coming-to-be and passingaway, are rightly described as 'originative sources, i.e. elements'. |
motion is one generically according to the different categories to which it may be assigned: thus any locomotion is one generically with any other locomotion, whereas alteration is different generically from locomotion. |
potentially of a certain quality or in a certain place); all imperishable things, then, exist actually. nor can anything which is of necessity exist potentially; yet these things are primary; for if these did not exist, nothing would exist. |
i. bion was a native of the country around the borysthenes; but as to who his parents were, and to what circumstances it was owing that he applied himself to the study of philosophy, we know no more than what he himself told antigonus. |
done with a different object and in a different manner from that stated by the man who is on his trial. |
we must take this as our starting-point and try to discover-since we wish to know what time is-what exactly it has to do with movement. |
human and other births with two heads were exposed to public view, or were discovered in those sacrifices in which it is usual to immolate victims in a pregnant condition. |
he used, however, to say (and i have often listened to him with pleasure) that for his part he thought that zethus, in the piece of pacuvius, was too inimical to learning. |
fleeting joy. and therefore he cannot help being jealous, and will debar his beloved from the advantages of society which would make a man of him, and especially from that society which would have given him wisdom, and thereby he cannot fail to do him |
critias: then listen, socrates, to a tale which, though strange, is certainly true, having been attested by solon, who was the wisest of the seven sages. |
reasonable, therefore, not to say necessary, to suppose the existence of the third term also, that which causes motion but is itself unmoved. |
five. a third line cannot be drawn from p equal to either of the equal lines pd, pf. |
madmen! they are always afraid of this for which they sometimes wish. o how dense a stupidity, how great an ignorance of the truth they show when they flee from this thing and yet amuse themselves by playing with it! |
but that fear quickly vanished upon letters sent from pompey, announcing that he had ended the war without a battle; for brutus, either betraying his army, or being betrayed by their revolt, surrendered himself to pompey, and receiving a guard of horse, |
one such source there is which he calls mind, and mind begins its work of thinking from some starting-point. so necessarily all things must have been together at a certain time, and must have begun to be moved at a certain time. |
and in the acquisition of wealth there is a principle of order and harmony which he will also observe; he will not allow himself to be dazzled by the foolish applause of the world, and heap up riches to his own infinite harm? |
thus, then, as the several elements never present themselves in the same form, how can any one have the assurance to assert positively that any of them, whatever it may be, is one thing rather than another? no one can. |
and there is the opposite affection arising from an opposite cause, when the mass of entering particles, immersed in the moisture of the mouth, is congenial to the tongue, and smooths and oils over the roughness, and relaxes the parts which are |
the latter defined as "places enclosed on every side by steep banks, with pools of water at the bottom." |
athenian: the well-being of those two is obviously the preservation of every living thing. |
"oft to the wandering beggar did i give," |
"my dear nurse," said penelope, "however wise you may be you can hardly fathom the counsels of the gods. nevertheless, we will go in search of my son, that i may see the corpses of the suitors, and the man who has killed them." |
the fourth and worst kind of objection is that which is directed to the time allowed for discussion: for some people bring objections of a kind which would take longer to answer than the length of the discussion in hand. |
and all this movement, active as well as passive, takes place in order that the body, being watered and cooled, may receive nourishment and life; for when the respiration is going in and out, and the fire, which is fast bound within, follows it, and ever |
hence each of the base angles of the triangle abd is double of the vertical angle. |
we may point out that, even if it is really the case, as certain persons assert, that the existent is infinite and motionless, it certainly does not appear to be so if we follow sense-perception: many things that exist appear to be in motion. |
one. how many parts in the hypothesis of this proposition? ans. three. name them. |
one. did plato derive the legend of atlantis from an egyptian source? |
this having been proved, it is evident that neither can a finite magnitude traverse an infinite magnitude in a finite time, the reason being the same as that given above: in part of the time it will traverse a finite magnitude and in each several part |
when octavia returned from athens, caesar, who considered she had been injuriously treated, commanded her to live in a separate house; but she refused to leave the house of her husband, and entreated him, unless he had already resolved, upon other |
soc. i think we are victims of our own success. |
in this part the understanding is merely passive; and whether or no it will have these beginnings, and as it were materials of knowledge, is not in its own power. |
for this reason, too, place is thought to be a kind of surface, and as it were a vessel, i.e. a container of the thing. |
understanding with these schemata we shall call the schematism of the pure understanding. |
but let us presuppose that in death we principally regard the pain; as also there is nothing to be feared in poverty but the miseries it brings along with it of thirst, hunger, cold, heat, watching, and the other inconveniences it makes us suffer, still |
as regards what is 'of necessity', we must ask whether the necessity is 'hypothetical', or 'simple' as well. |
were all alike . and i have no reason to complain, that it has pleased god, that i should act on the stage of this world a part not the chief and most perfect of all; or that i should not be able to abstain from error in the first way above specifi'd, |
"for hector surely will hereafter say, speaking in troy, tydides by my hand"- |
forty four. if abcd be a cyclic quadrilateral, and if we describe any circle passing through the points a and b, another through b and one hundred, a third through one hundred and five hundred, and a fourth through five hundred and a; these circles |
now the whole region towards the west extending as far down as malea ninety six was then possessed by the argives, both the parts situated on the mainland and also the island of kythera with the other islands. |
have we forgotten that our purpose was, when we had sufficiently spoken on the subject of the immortality of the soul, to prove that, even if the soul did perish, there would be, even then, no evil in death? |
for it was this reason which also caused some of the earlier thinkers to turn so far aside from the road which leads to coming to be and passing away and change generally. |
for if they could be changed in respect to existence, they must also be able to be changed in respect to essence--that is, obviously, be changed from true to false, which is absurd. |
such then is the description of a citizen who comes nearest to what all those who are called citizens are. |
conversant or engaged among many other bodies , by which it is liable to be affected with what is advantagious or hurtful ; what was advantagious i judged by a certain sense of pleasure , what was hurtful by a sense of pain . |
also, the popularity of a potent subject, (unlesse the common-wealth have very good caution of his fidelity,) is a dangerous disease; because the people (which should receive their motion from the authority of the soveraign,) by the flattery, and by the |
narrative. the imaginary state which you were describing may be identified with the reality of solon, and our antediluvian ancestors may be your citizens. |
for the primary movements being finite in number, the kinds of simple body are necessarily also finite, since the movement of a simple body is simple, and the simple movements are finite, and every natural body must always have its proper motion. |
would you that spangle of existence spend about the secret--quick about it, friend! a hair perhaps divides the false from true-- and upon what, prithee, may life depend? |
"those who have seen us both," answered ulysses, "have always said we were wonderfully like each other, and now you have noticed it too." |
soc. and does any man honour the gods otherwise than he thinks he ought? (eight) |
for being a young man, newly entered into the service under calvisius sabinus, upon his first campaign, he brought his commander's wife, a licentious woman, in a soldier's dress, by night into the camp, and was found with her in the very general's |
able to explain;' and many other ways may be imagined in which we know and do not know at the same time. |
for they are only regulative principles, and clearly distinguishable from the mathematical, which are constitutive, not indeed in regard to the certainty which both possess a priori, but in the mode of evidence thereof, consequently also in the manner of |
and not content with having increased the power of the church and lost his friends, he now desiring the kingdom of naples, divided it with the king of spain; and where he alone was the arbiter of italy, he now brought in a companion, so that the ambitious |
well, then, i must make my defence, and endeavour to clear away in a short time, a slander which has lasted a long time. may i succeed, if to succeed be for my good and yours, or likely to avail me in my cause! |
relieve him; these spoke to me in no other language but latin. |
conclusion, since this conclusion does not owe its necessity to the middle term; for though the conclusion is necessary, the mediating link is a contingent fact. |
that we are affected by the image of what is past or future with the same emotion as if the thing conceived were present, i expressly stated, that this is only true in so far as we look solely to the image of the thing in question itself; for the thing's |
the generations of men, like the leaves of the forest, come and go, but the mathematical laws by which the world is governed remain, and seem as if they could never change. |
generally accepted or rejected, but only by the answerer, then the standard whereby the latter must judge what is generally accepted or not, and must grant or refuse to grant the point asked, is himself. |
to the death of poppaea, which, though a public grief, was a delight to those who recalling the past thought of her shamelessness and cruelty, nero added fresh and greater odium by forbidding caius cassius to attend the funeral. |
but when the world began to get into order, fire and water and earth and air had only certain faint traces of themselves, and were altogether such as everything might be expected to be in the absence of god; this, i say, was their nature at that time, and |
i have this, at least, according to discipline, that never any man treated of a subject he better understood and knew than i what i have undertaken, and that in this i am the most understanding man alive: secondly, that never any man penetrated farther |
temo aureus, aurea summ curvatura rot, radiorum argenteus ordo. |
now march the bold confed'rates thro' the plain, well hors'd, well clad; a rich and shining train. messapus leads the van; and, in the rear, the sons of tyrrheus in bright arms appear. |
clearly, too, if there were no time, there would be no 'now', and vice versa. just as the moving body and its locomotion involve each other mutually, so too do the number of the moving body and the number of its locomotion. |
athenian: that is just what we must endeavour to show. and let me ask you a question:--do we not distinguish two kinds of fear, which are very different? |
we can now understand why fire heats and the cold thing cools, and in general why the active thing assimilates to itself the patient. |
cowards skulk about the dead, pretending that they are fulfilling a duty, and many an army before now has been lost from this love of plunder. |
it is true, speedy profit is not to be neglected, as far as may stand with the good of the plantation, but no further. |
but though the physiology of the timaeus is partly borrowed from them, they are either ignored by plato or referred to with a secret contempt and dislike. |
for instance, fourteen r(three five) three. xxxv., ex. seven . |
forty eight. if ab, ac be equal sides of an isosceles triangle, and if bd be a perpendicular on ac; prove that bc ac.four hundred. |
three. in respect of what is pleasant in daily life. |
heaven and hell are not realities to them, but words or ideas; the outward symbols of some great mystery, they hardly know what. |
it is clear therefore that the same will hold good of number, if number is a synthesis of units, as is said by some; for two is either not one, or there is no unit present in it in complete reality. but our result involves a difficulty. |
the two interior angles (bgh, ghd) on the same side equal to two right angles. |
socrates: is it still worth our while to resume the discussion touching opinion? |
therefore the place in which it terminates will be a hollow place. the water then will collect there until equality is established, that is until the line ae is equal to the two radii. |
a more stable basis than the equilateral triangle, both in the whole and in the parts. |
the vanquished as though he were the victor--in that case our praises would not be true, nor very agreeable to the runners, though they be but men; and now, to commit the same error about the gods which would have been ludicrous and erroneous in the case |
but this only shows that art, like other outward things, may be turned to good and also to evil, and is not more closely connected with the higher than with the lower part of the soul. |
if a line (ab) be bisected (at one hundred), and divided externally in any point (five hundred), the rectangle (ad.bd) contained by the segments made by the external point, together with the square on half the line, is equal to the square on the segment |
nothing worse could happen to these labours than that anyone should make the unexpected discovery that there neither is, nor can be, any a priori knowledge at all. but there is no danger of this. |
ethical philosophy was subdivided into ten sects; the academic, the cyrenaic, the elian, the megaric, the cynic, the eretrian, the dialectic, the peripatetic, the stoic, and the epicurean. |
but why then does our saviour proceed in the curing of them, as if they were possest; and not as if they were mad. |
we can say, cicero says thus; these were the manners of plato; these are the very words of aristotle: but what do we say ourselves? what do we judge? a parrot would say as much as that. |
be trusted in, as a partner in power. cinna answered, that sertorius rightly judged the affair, but that he himself was at a loss, and ashamed, and knew not how to reject him, after he had sent for him to share in his fortunes. |
they merely give an ingenious demonstration that air is something--by straining wine-skins and showing the resistance of the air, and by cutting it off in clepsydras. |
the preservation of life. besides, nature has also given these beasts appetite and sense; in order that by the one they may be excited to procure sufficient sustenance, and by the other they may distinguish what is noxious from what is salutary. |
in order to judge of these various forms, it is enough to compare them. romulus, when he set up curi , had in view the checking of the senate by the people, and of the people by the senate, while maintaining his ascendancy over both alike. |
another proof.--the good, which a man desires for himself and loves, he will love more constantly, if he sees that others love it also (three. |
we have further to determine what motions are contrary to each other, and to determine similarly how it is with rest. and we have first to decide whether contrary motions are motions respectively from and to the same thing, e.g. |
not one then of the bad lives as he wishes; nor is he then free. and who chooses to live in sorrow, fear, envy, pity, desiring and failing in his desires, attempting to avoid something and falling into it? not one. |
objective also, that is, that it expresses not merely a reference of our perception to a subject, but a quality of the object. |
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