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eight. our ideas of relations often clearer than of the subjects related. |
contrary and transverse and every way diverse in relation to that which is light, heavy, below or above in an opposite place. |
it is not difficult to see how each of its types will be defined-alteration is the fulfillment of the alterable qua alterable (or, more scientifically, the fulfilment of what can act and what can be acted on, as such)-generally and again in each |
i desire to be lodged in some private part of the house, remote from all noise, ill scents, and smoke. |
the relations of the earth and heavens are so indistinct in the timaeus and so figurative in the phaedo, phaedrus and republic, that we must give up the hope of ascertaining how they were imagined by plato, if he had any fixed or scientific conception of |
(three) that the infinite cannot move may also be shown as follows. let a be a finite line moving past the finite line, b. of necessity a will pass clear of b and b of a at the same moment; for each overlaps the other to precisely the same extent. |
(two). let the arc ace be greater than a semicircle. join ce. then the angle ace is evidently less than acb; but acb is right; therefore ace is acute. |
in the triangles bah, edf, we have ab equal to de (hyp.), ah equal to df (const.), and the angle bah equal to the angle edf (const.); therefore the base iv. bh is equal to ef. |
vii. the halves of equal magnitudes are equal. |
as to that which is moved, we have shown that it is primary and simple and ungenerated and indestructible and generally unchanging; and the mover has an even better right to these attributes. |
if then one of the cs should be identical with one of the fs, a must belong to all e: for f belongs to all e, and a to all one hundred, consequently a belongs to all e. |
the breeder of animals aims chiefly at size or speed or strength; in a few cases at courage or temper; most often the fitness of the animal for food is the great desideratum. |
-- and aufidius with a jostle against the door as he entered the council-chamber. |
shall i explain this matter to you or to theaetetus? |
words in somewhat a new signification; the later whereof, in our present case, is perhaps the more tolerable of the two. |
in their breasts. and when any seemed to wonder, that he should have never a statue, while many ordinary persons had one; "i would," said he, "much rather be asked, why i have not one, than why i have one." |
we may also see in the following way how impossible it is either for a thing which is generated to be thenceforward indestructible, or for a thing which is ungenerated and has always hitherto existed to be destroyed. |
what influence honours have, and how they may occasion sedition, is evident enough; for those who are themselves unhonoured while they see others honoured, will be ready for any disturbance: and these things are done unjustly when any one is either |
deceitful gratifications of the passions. and what i have spoken of corinth may be applied, for aught i know, without incorrectness to the whole of greece. |
he added that the figure of the globe, which displayed the motions of the sun and moon, and the five planets, or wandering stars, could not be represented by the primitive solid globe; and that in this the invention of archimedes was admirable, because he |
decemvirs were appointed; everything specially admirable elsewhere was adopted, and the twelve tables drawn up, the last specimen of equitable legislation. |
now men have different natures, and one man will do one thing better than many; and business waits for no man. |
when made the object of reflexion and enquiry. |
in one or two cases it might not inconceivably fall out so, but to imagine it in every case alike is a mere fiction. besides, chance has no place in that which is natural, and what happens everywhere and in every case is no matter of chance. |
very opposite of the truth; and they become false and foolish, and there is no course or revolution in them which has a guiding or directing power; and if again any sensations enter in violently from without and drag after them the whole vessel of the |
which was in him reasserted her sway over the elements of fire, air, earth, water, which had engrossed her, and he regained his first and better nature. |
that is irremediable to any of his own servants; but if after reckoning he finds that the wrongs done are more in number and greater than the services rendered, one hundred forty three then only he gives vent to his anger. |
but it is only as uniting subjectivity with objectivity that the mind has its wits about it. |
also those that can easily be kept dark, as where things that can rapidly be consumed like eatables are concerned, or things that can easily be changed in shape, colour, or combination, or things that can easily be stowed away almost anywhere-portable |
this, then, is one absurd and impossible implication of the theory. it is also evident that the cube will have this same volume even if it is displaced, which is an attribute possessed by all other bodies also. |
on one occasion, being reproached for having employed a hired advocate in a cause that he had depending: "why not," said he; "when i have a dinner, i hire a cook." |
metaphysic, with its analysis into forces, various activities, c., and rejected any attempt at a "speculative" treatment. |
now to descend to the particular tenets of vain philosophy, derived to the universities, and thence into the church, partly from aristotle, partly from blindnesse of understanding; i shall first consider their principles. |
nor is it only reason and arguments that have brought me to this belief, but the great fame and authority of the most distinguished philosophers. |
'who love and approve every one voluntarily, who does no evil:' |
from the same point (a) there can be but one normal drawn to a given plane (ten). |
there is no single step in astronomy as great as that of the nameless pythagorean who first conceived the world to be a body moving round the sun in space: there is no truer or more comprehensive principle than the application of mathematics alike to the |
the conclusion of the discourse favours not this purely abstract being, but a state of savagery intermediate between the "natural" and the "social" conditions, in which men may preserve the simplicity and the advantages of nature and at the same time |
not the opinion of the people the guide of his life; and therefore at first he passed his time in rome cautiously, and was very backward in pretending to public offices, so that he was at that time in little esteem, and had got the names, so readily given |
as all bodies are composed of that which has the finest parts, so all solid figures are composed of pryamids: but the finest body is fire, while among figures the pyramid is primary and has the smallest parts; and the primary body must have the primary |
i will not be long in joining you, for i too am eager for the fray." |
if, he said, there are sacred treasures in the city, he will confiscate and spend them; and in so far as the fortunes of attainted persons may suffice, he will be able to diminish the taxes which he would otherwise have to impose upon the people. |
then in our city the language of harmony and concord will be more often heard than in any other. as i was describing before, when any one is well or ill, the universal word will be 'with me it is well' or 'it is ill.' |
divine ordinances; and, allowing the old men to confer amongst themselves or with the magistrate about those things, he adds, provided it be not in the presence of young or profane persons. |
acknowledged; neither of them being singly sufficient to oblige any other man to regard what he saith. |
i hate to see it, for one poor inch of pitiful vigour which comes upon it but thrice a week, to strut and set itself out with as much eagerness as if it could do mighty feats; a true flame of flax; and laugh to see it so boil and bubble and then in a |
no longer being separated from the muscles and sinews, ceases to give nourishment to the bone and to unite flesh and bone, and from being oily and smooth and glutinous becomes rough and salt and dry, owing to bad regimen, then all the substance thus |
from of old, death has been the lot of all men; but if the people have no faith in their rulers, there is no standing for the state.' chap. eight. one. |
(b) magnitude is not infinite either in the way of reduction or of magnification in thought. |
peut-etre les magistrats qui devoient juger a mort un citoyen, portoient ils aussi leur robe renversee, ou la jettoient ils de travers ou confusement sur leurs epaules, pour mieux peindre par ce desordre le trouble de leur esprit. |
there is, however, an inconsistency in plato's manner of conceiving the soul of man; he cannot get rid of the element of necessity which is allowed to enter. |
moreover by setting out successively the being-in-motion corresponding to each of the two motions dg (say) and ge, we may argue that the whole being-in-motion will correspond to the whole motion (for if it were some other being-in-motion that corresponded |
the following annotations will make them explicit:- |
patients alter naturally or unnaturally according as they throw off fevers on the critical days or not. but, it may be objected, then we shall have perishings contrary to one another, not to becoming. certainly: and why should not this in a sense be so? |
hymns were sung to the harp by the singers of the feasts of bacchus; the procession was led up by the president of the public exercises, with the boys and young men; these were followed by the councilors wearing garlands, and other citizens such as |
'that is good,' he said; 'at some other time then we will consider and act as seems best about this and about other matters.' |
sixty one. we have said enough of the nature of it. the practice follows; and that we must discuss with greater accuracy. |
i do not think there was any great suffering in this motion the torments that are the most dreadful to look on are not always the greatest to endure; and i find those that other historians relate to have been practised by him upon the epirot lords, are |
upon his arrival, he desired somebody might be brought to him that could speak syriac or parthian. |
athenian: let us not, then, deem god inferior to human workmen, who, in proportion to their skill, finish and perfect their works, small as well as great, by one and the same art; or that god, the wisest of beings, who is both willing and able to take |
-a star, ready and ripe in its noontide, glowing, pierced, blessed, by annihilating sun-arrows:- |
i should have even killed the two moliones, sons of actor, unless their real father, neptune lord of the earthquake, had hidden them in a thick mist and borne them out of the fight. |
it is clear, then, from the foregoing account, that 'combination' occurs, what it is, to what it is due, and what kind of thing is 'combinable'. |
of terrestrial mould; foe not informidable! exempt from wound, i not; so much hath hell debased, and pain enfeebled me, to what i was in heaven. she fair, divinely fair, fit love for gods! |
on lycas and antaeus next he ran, two chiefs of turnus, and who led his van. they fled for fear; with these, he chas'd along camers the yellow-lock'd, and numa strong; both great in arms, and both were fair and young. |
n.b. if we can be the adequate cause of any of these modifications, i then call the emotion an activity, otherwise i call it a passion, or state wherein the mind is passive. |
yet we have no reason to call it wisdom, as we often do. |
back from pursuit thy powers with loud acclaim thee only extolled, son of thy father's might, to execute fierce vengeance on his foes, not so on man: him through their malice fallen, father of mercy and grace, thou didst not doom so strictly, but much |
thirteen. that greece cannot boast unduly of that father who, being in the act of offering sacrifice when he heard the news of his son's death, merely ordered the flute-player to be silent, and removed the garland from his head, but accomplished all the |
when anyone, therefore, desires me to read chrysippus to him, i rather blush when i cannot exhibit actions that are harmonious and consonant with his discourse. |
to veil its deformity. however, if leading powers were to do what you are now doing, and putting one short question to all alike were to decide accordingly, men would be less tempted to seek fine phrases to cover bad actions." |
first, there is the action of the complete body upon itself, the relation of the whole to the whole, of the sovereign to the state; and this relation, as we shall see, is made up of the relations of the intermediate terms. |
'o heavy with wine, who hast the eyes of a dog and the heart of a stag,' |
twenty one. try also how a good man's life; (of one, who is well pleased with those things whatsoever, which among the common changes and chances of this world fall to his own lot and share; and can live well contented and fully satisfied in the justice |
brickwork, they built up first the edges of the trench and then the wall itself in the same manner: and at the top of the wall along the edges they built chambers of one story facing one another; and between the rows of chambers they left space to drive a |
permanent and transient, of the universal and particular. but the age of philosophy in which he lived seemed to require a further distinction;-numbers and figures were beginning to separate from ideas. |
how will protagoras answer this argument? for he cannot say that no one deems another ignorant or mistaken. if you form a judgment, thousands and tens of thousands are ready to maintain the opposite. |
when, then, the change is in these constitutive factors, there will be coming-to-be or passing-away: but when it is in the thing's qualities, i.e. a change of the thing per accidents, there will be 'alteration'. |
what is the fit disposition of the body will be better mentioned when we come to speak of the education of the child; we will just slightly mention a few particulars. |
the phenomenon of life reveals as in a picture and an ocular demonstration the conformity of inward and outward, the identity of whole and parts, of power and utterance. but it is still outside the observer. |
here is another point: the imitator or maker of the image knows nothing of true existence; he knows appearances only. am i not right? |
but the journals give the following record. on the eighteenth of the month, he slept in the bathing-room on account of his fever. the next day he bathed and removed into his chamber, and spent his time in playing dice with medius. |
for, as a rule, it increases the confusion of questioners if, after all propositions of this kind have been granted them, they can then draw no conclusion. |
and yet (excepting only phocion), even in his life and manners, he far surpassed the other orators of his time. |
but the synthesis of a diversity (be it given a priori or empirically) is the first requisite for the production of a cognition, which in its beginning, indeed, may be crude and confused, and therefore in need of analysis-still, synthesis is that by which |
two. every point equally distant from the points a, b is in the line four hundred. |
fire upward and earth downward and towards the middle of the universe, it is clear that it cannot be the void that is the condition of locomotion. what, then, will the void be the condition of? |
for myself, i have never fancied my mind to be in any respect more perfect than those of the generality; on the contrary, i have often wished that i were equal to some others in promptitude of thought, or in clearness and distinctness of imagination, or |
for the knowledge of particular lawes belongeth to them, that professe the study of the lawes of their severall countries; but the knowledge of civill law in generall, to any man. |
to return, then, to the inquiry about liberty, i think the question is not proper, whether the will be free, but whether a man be free. thus, i think, |
for all the same difficulties will attend him in either case. |
thus we have the result that the thing that has changed, at the moment when it has changed, is changing to that to which it has changed, which is impossible: that which has changed, therefore, must be in that to which it has changed. |
they may pass away, like the authors of them, and 'leave not a wrack behind;' or they may survive in fragments. |
in like manner gk is equal to one hundred, and fg is equal to b (const.) hence the three sides of the triangle kfg are respectively equal to the three lines a, b, one hundred. |
the juncture and thickness of the place where they were conjoined was not above four fingers, or thereabouts, so that if you thrust up the imperfect child you might see the navel of the other below it, and the joining was betwixt the paps and the navel. |
the same as that of the bodies which compose it. what remains for us to consider, then, is whether any of the simple bodies can be infinite in magnitude, or whether this is impossible. |
what had he any right to consider more precious or more dear to him, than the great glory then acquired by the thebans, than such an illustrious and magnificent trophy? |
eight. if forced to fight in a salt-marsh, you should have water and grass near you, and get your back to a clump of trees. |
but persus, in his ethical school, states that he died at the age of seventy-two, and that he came to athens when he was twenty-two years old. but apollonius says that he presided over his school for forty-eight years. |
for, though he has obtained the experience of how a globe, how a cube affects his touch, yet he has not yet obtained the experience, that what affects his touch so or so, must affect his sight so or so; or that a protuberant angle in the cube, that |
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