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chapter two. of the deduction of the pure conceptions of the understanding |
so, too, 'perishing' is not a motion: for a motion has for its contrary either another motion or rest, whereas 'perishing' is the contrary of 'becoming'. |
stand. for let ab be the primary time in which a thing is coming to a stand. |
when he reached the place where the treasures of his house were kept, he selected a double cup, and told his son megapenthes to bring also a silver mixing bowl. |
a servant led in the favourite bard demodocus, and set him in the midst of the company, near one of the bearing-posts supporting the cloister, that he might lean against it. |
desiring to come to delphi; and when in sailing he got near malea, a north wind seized his ship and carried it off to libya, and before he caught sight of land he had come to be in the shoals of the lake tritonis. |
for i will not disguise from you, that their publication was deferred, upon the appearance of his other writings, under the pretext (as it was alleged yonder at paris) that they were too crude to come to light. |
is socrates, but because he has smallness when compared with the greatness of simmias? |
but it is clear, further, that if the simple bodies are finite, the composite must also be finite, since that which is composed of bodies finite both in number and in magnitude is itself finite in respect of number and magnitude: its quantity is in fact |
but the whole of which they are parts must necessarily be complete, and thus, in accordance with the meaning of the word, have being, not in some respect only, but in every respect. |
christian faith. for who is there, that knowing there is so great danger in an error, when the naturall care of himself, compelleth not to hazard his soule upon his own judgement, rather than that of any other man that is unconcerned in his damnation? |
four. if through the middle point o of any right line terminated by two parallel right lines any other secant be drawn, the intercept on this line made by the parallels is bisected in o. |
mind was becoming gradually habituated to clearer and more distinct conceptions of its objects; and i hoped also, from not having restricted this method to any particular matter, to apply it to the difficulties of the other sciences, with not less success |
one hundred sixty one. poets act shamelessly towards their experiences: they exploit them. |
perishable, forms we shall speak in the expositions which follow. |
gives the people an occasion to claim their right, and limit that power, which, whilst it was exercised for their good, they were content should be tacitly allowed. |
they have also a kind of authority gained by the employment of sacred and familiar names, just as mere fragments of the words of scripture, put together in any form and applied to any subject, have a power of their own. |
apropos of omar's red roses in stanza xix, i am reminded of an old english superstition, that our anemone pulsatilla, or purple "pasque flower," (which grows plentifully about the fleam dyke, near cambridge,) grows only where danish blood has been spilt. |
as soon as i saw it i knew it was an omen; it means that you will remain powerful and that there will be no house in ithaca more royal than your own." |
which the original conclusion rested, by circular demonstration in the first figure. but it has also been shown that in the other figures either no conclusion is possible, or at least none which proves both the original premisses. |
these essays on rhetoric were composed by cicero when he was about one and twenty years of age, and he mentions them afterwards in his more elaborate treatise de oratore , (lib. i. c. |
(three) of the intersection of the external bisectors of the base angles; |
nothing therefore seems to be taught more clearly by experience, than that the will or faculty of assent is free and different from the faculty of understanding. |
through which he makes great gain, is taken from him. the wise man escapes all this, since he knows not what it is to live for hope or for fear. add to this, that no one receives an injury unmoved, but is disturbed by the feeling of it. |
another simplification of the proof would be got by considering that the point a is such that one of the s cag, bak can be turned round it in its own plane until it coincides with the other; and hence that they are congruent. |
again, matter is a relative term: to each form there corresponds a special matter. how far then must the physicist know the form or essence? up to a point, perhaps, as the doctor must know sinew or the smith bronze (i.e. |
two. divide a given line, so that the rectangle contained by another given line and one segment may be equal to the square on the other segment. |
consideration. i shall not now enter into that inquiry, my present business being not to search into the original of power, but how we come by the idea of it. |
there is not only the absurdity of our hearing nothing, the ground of which they try to remove, but also the fact that no effect other than sensitive is produced upon us. |
on the contrary, if we ascribe objective reality to these forms of representation, it becomes impossible to avoid changing everything into mere appearance. |
the adiabeni, when they began to advance their scaling ladders and engines, were easily driven back, and then cut down by a sally of our men. |
to slide, roll, tumble, walk, creep, run, dance, leap, skip, and abundance of others that might be named, are words which are no sooner heard but every one who understands english has presently in his mind distinct ideas, which are all but the different |
they are distinguished, we are told, from one another by their figures; but their nature is one, like many pieces of gold separated from one another. but each piece must, as we assert, have the same motion. |
further, it is a law of nature that earth and all other bodies should remain in their proper places and be moved from them only by violence: from the fact then that some of them are in their proper places it follows that in respect of place also all |
listen, then, to a dream that i have had and interpret it for me if you can. i have twenty geese about the house that eat mash out of a trough,one hundred fifty five and of which i am exceedingly fond. |
the breath of man is within him, but the air or aether of heaven is the element which surrounds him and all things. |
thus, then, did he run weeping from the field, to carry the bad news to achilles son of peleus. |
here for revenge the sabine troops contend; the romans there with arms the prey defend. wearied with tedious war, at length they cease; and both the kings and kingdoms plight the peace. |
the graces which carried his own paintings as it were up to the heavens. this picture, which came with the rest in the general mass to rome, there perished by fire. |
their good they attend and not to the good of the superior. |
having assimilated them should attain to that perfect life which the gods have set before mankind, both for the present and the future. |
the early physiologists had generally written in verse; the prose writers, like democritus and anaxagoras, as far as we can judge from their fragments, never attained to a periodic style. |
this problem is manifestly equivalent to the following:-given the sum or difference of two lines and their ratio, to find the lines. |
transcendental logic, limited as it is to a determinate content, that of pure a priori cognitions, to wit, cannot imitate general logic in this division. |
soc. well then, until we have got beyond the region of conjecture shall we defer giving advice on the matter? (it will be time enough when we know the facts.) |
measure of greatness of spirit, continually encouraged him in it, and strengthened his inclination not to spare persons of repute, so he might gratify the multitude. |
for in every case in which the essence is in matter it is a fact of observation that the particulars of like form are several or infinite in number. hence there either are, or may be, more heavens than one. |
interval), and in speech the letter. and all these are ones in this sense--not that 'one' is something predicable in the same sense of all of these, but in the sense we have mentioned. |
of these there was no great number, most of those now found in the country having been erected subsequently by archelaus, the son of perdiccas, on his accession, who also cut straight roads, and otherwise put the kingdom on a better footing as regards |
previously the invasions were short, and did not prevent their enjoying their land during the rest of the time: the enemy was now permanently fixed in attica; at one time it was an attack in force, at another it was the regular garrison overrunning the |
for on the altar, where the fire seemed wholly extinguished, a great and bright flame issued forth from the ashes of the burnt wood; at which others were affrighted, but the holy virgins called to terentia, cicero's wife, and bade her haste to her |
(two) further, if body has a place and space, clearly so too have surface and the other limits of body; for the same statement will apply to them: where the bounding planes of the water were, there in turn will be those of the air. |
dem.-since a : b :: b : c, we have a- b b- c. in like manner, b c a b. hence, multiplying, a- c a c; therefore a : c :: a : c, and similarly for any number of magnitudes in each set. |
three. let ab pass through the centre, and cut four hundred, which does not pass through the centre obliquely. let o be the centre. draw of perpendicular to four hundred i. xi. . join oc, od. |
nevertheless, that i put any great constraint upon myself to maintain this exterior decorum, for i make little account of such an advantage: i allow herein as much as the pain requires; but either my pains are not so excessive, or i have more than |
sixteen.ten.) "thou wilt not leave my soule in hell, nor suffer thine holy one to see corruption," saith, they were spoken (not of david, but) of christ; and to prove it, addeth this reason, "for david is not ascended into heaven." |
but within the walls of necessity there is an open space in which he is his own master, and can study for himself the effects which the variously compounded gifts of nature or fortune have upon the soul, and act accordingly. |
this is false, for time is not composed of indivisible moments any more than any other magnitude is composed of indivisibles. |
after our saviours ascension, the christians of every city lived in common, (acts four. |
thereon jove vouchsafed the pylians a great victory, for we chased them far over the plain, killing the men and bringing in their armour, till we had brought our horses to buprasium, rich in wheat, and to the olenian rock, with the hill that is called |
hence whatever errors may slip in unawares, can only be discovered by pure reason itself-a discovery of much difficulty, because this very reason naturally becomes dialectical by means of its ideas, and this unavoidable illusion cannot be limited by any |
dem.-let o, o be their centres; let the angle aob be indefinitely small, so that the arc ab may be regarded as a right line; make the angle aob equal to aob; then the triangles aob, aob are similar. |
there is a common spirit in his writings, and there are certain general principles, such as the opposition of the sensible and intellectual, and the priority of mind, which run through all of them; but he has no definite forms of words in which he |
anaxagoras, however, scandalously misuses this name, taking aither as equivalent to fire. |
but already doth it attack me and constrain me, this spirit of melancholy, this evening-twilight devil: and verily, ye higher men, it hath a longing- |
to these peculiarities of words he has added a list of peculiar expressions and constructions. |
a point (p) within a circle (abc), from which more than two equal lines (pa, pb, pc, c.) can be drawn to the circumference, is the centre. |
in their views and what bad from the standpoint of the inquiry we have now before us. |
the odds are, the state and you may come to grief through you. or to take an instance from everyday life. by my falsehoods i persuade some private person to entrust his affairs to you as "a really careful and business-like person with a head for economy." |
for no one attempted to pursue him and he found himself treated with much indifference. and when he returned he reported to xerxes all that which he had seen. |
now if the terms 'continuous', 'in contact', and 'in succession' are understood as defined above things being 'continuous' if their extremities are one, 'in contact' if their extremities are together, and 'in succession' if there is nothing of their own |
this is the tale told by the corinthians and lesbians alike, and there is at tainaron a votive offering of arion of no great size, twenty one namely a bronze figure of a man upon a dolphin's back. |
so, too, it is better to capture an army entire than to destroy it, to capture a regiment, a detachment or a company entire than to destroy them. |
one would be glad also to learn from these men who so confidently pronounce that the human soul, or, which is all one, that a man always thinks, how they come to know it; nay, how they come to know that they themselves think, when they themselves do not |
whoever, therefore, deems it necessary in his new principality to secure himself against enemies, to gain friends, to conquer by force or fraud, to make himself beloved and feared by the people, followed and reverenced by the soldiers, to destroy those |
but having waited some time, when he had read through the book, and still nobody brought the sword, he called up all his servants, and in a louder tone demanded his sword. |
b) consequences from the influence of the starres, |
my mother forbade me to arm till i should see her come, for she promised to bring me goodly armour from vulcan; i know no man whose arms one can put on, save only the shield of ajax son of telamon, and he surely must be fighting in the front rank and |
when we see a government paying bounties, instead of receiving duties, on the exportation of corn in time of plenty, and on its importation in time of scarcity, we must have such facts before our eyes if we are to be persuaded of their reality. |
but returning to the speaking virtue: i find no great choice betwixt not knowing to speak anything but ill, and not knowing to speak anything but well. |
it is nature's work: for if anything is of a certain character naturally, it either is so invariably and is not sometimes of this and sometimes of another character (e.g. |
their glory is laid up to be eternally remembered upon every occasion on which deed or story shall call for its commemoration. |
but capys, and the rest of sounder mind, the fatal present to the flames designed, or to the wat'ry deep; at least to bore the hollow sides, and hidden frauds explore. the giddy vulgar, as their fancies guide, with noise say nothing, and in parts divide. |
constantly together; which being presumed to belong to one thing, and words being suited to common apprehensions, and made use of for quick dispatch are called, so united in one subject, by one name; which, by inadvertency, we are apt afterward to talk of |
one thing changes in quality, another in quantity: and so in place, a light thing goes upward, a heavy thing downward. the only difference is that in the last case, viz. |
tsze-lu said, 'the duke hwan caused his brother chiu to be killed, when shao hu died with his master, but kwan chung did not die. may not i say that he was wanting in virtue?' |
now the first alternative is impossible, and the second is fantastic: it is absurd that that which has a capacity for causing alteration should as such necessarily have a capacity, let us say, for increase. |
for if there is to be opposition (instead of the growing thing having changed as a whole, either by the admixture of something or by its own transformation), increase of size will not have resulted in any and every part. |
but so little concrete is this divine unity-spiritual as its idea of god is-so powerless its grip, so to speak-that hindooism, with a monstrous inconsistency, is also the maddest of polytheisms. |
prop. thirty five. falsity consists in the privation of knowledge, which inadequate, fragmentary, or confused ideas involve. |
either by chance or purposely seneca had returned on that day from campania, and had stopped at a countryhouse four miles from rome. |
iv. the angle oca is equal to obp; but oca is a right angle (const.); therefore obp is a right angle, and xvi. pb touches the circle at b. |
it is absolute culture; for in the eternal is the real and empirical annihilation and prescription of all limited modality. it is absolute disinterestedness: for in the eternal there is nothing private and personal. |
at first, however, this force shows merely the mechanical phenomena of pressure and impact, and its theory is sufficiently described by mathematical physics. |
something else and so on throughout the series: and so we proceeded to the position that the first principle that directly causes things that are in motion to be moved is that which moves itself, and the first principle of the whole series is the unmoved. |
the suitors bit their lips and marvelled at the boldness of his speech; but amphinomus the son of nisus, who was son to aretias, said, "do not let us take offence; it is reasonable, so let us make no answer. |
in other words, will that which is only potentially a 'this' (which only potentially is), while without the qualification 'potentially' it is not a 'this' (i.e. is not), possess, e.g. any determinate size or quality or position? |
but i was not certain of this, for the dream might have meant music in the popular sense of the word, and being under sentence of death, and the festival giving me a respite, i thought that it would be safer for me to satisfy the scruple, and, in |
so waited the approach of the master, who said to him, 'in youth not humble as befits a junior; in manhood, doing nothing worthy of being handed down; and living on to old age:-- this is to be a pest.' with this he hit him on the shank with his staff. |
been 'immediately-next' to point: but 'dissociation' takes place into small (i.e. relatively small) parts, and 'association' takes place out of relatively small parts. |
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