The things themselves that affect us, they stand without doors, neither knowing anything themselves nor able to utter anything unto others concerning themselves. What then is it, that passeth verdict on them? The understanding.
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peck.wisdom 23,094 posts
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[“This plodding occupation of bookes is as painfull as any other, and as great an enemie vnto health, which ought principally to be considered. And a man should not suffer him selfe to be inveagled by the pleasure he takes in them.”--Florio, edit. 1613, p. 122.]
They would answer, as I should conceive, that they were speaking of those numbers which can only be realized in thought.
I will ask you to remember also what I began by saying, that we had done with the subject and might proceed to the style.
All those things, for matter of experience are usual and ordinary; for their continuance but for a day; and for their matter, most base and filthy. As they were in the days of those whom we have buried, so are they now also, and no otherwise.
Neither the end, then, nor the means of this advice pleases me, for we often fall out of the frying-pan into the fire.--[or: we always relapse ill from fever into fever.]--This book-employment is as painful as any other, and as great an enemy to health, which ought to be the first thing considered; neither ought a man to be allured with the pleasure of it, which is the same that destroys the frugal, the avaricious, the voluptuous, and the ambitious man.
Now, suppose a person were to say to them: O my friends, what are these wonderful numbers about which you are reasoning, in which, as you say, there is a unity such as you demand, and each unit is equal, invariable, indivisible,—what would they answer?
You have conceived my meaning perfectly; and if I mistake not, what you failed to apprehend before is now made clear to you, that poetry and mythology are, in some cases, wholly imitative—instances of this are supplied by tragedy and comedy; there is likewise the opposite style, in which the poet is the only speaker—of this the dithyramb affords the best example; and the combination of both is found in epic, and in several other styles of poetry. Do I take you with me?
This day I did come out of all my trouble. Nay I have cast out all my trouble; it should rather be for that which troubled thee, whatsoever it was, was not without anywhere that thou shouldest come out of it, but within in thine own opinions, from whence it must be cast out, before thou canst truly and constantly be at ease.
I mean, as I was saying, that arithmetic has a very great and elevating effect, compelling the soul to reason about abstract number, and rebelling against the introduction of visible or tangible objects into the argument. You know how steadily the masters of the art repel and ridicule any one who attempts to divide absolute unity when he is calculating, and if you divide, they multiply (Meaning either (1) that they integrate the number because they deny the possibility of fractions; or (2) that division is regarded by them as a process of multiplication, for the fractions of one continue to be units.), taking care that one shall continue one and not become lost in fractions.
The imagination of those who seek solitude upon the account of devotion, filling their hopes and courage with certainty of divine promises in the other life, is much more rationally founded. They propose to themselves God, an infinite object in goodness and power; the soul has there wherewithal, at full liberty, to satiate her desires: afflictions and sufferings turn to their advantage, being undergone for the acquisition of eternal health and joy; death is to be wished and longed for, where it is the passage to so perfect a condition; the asperity of the rules they impose upon themselves is immediately softened by custom, and all their carnal appetites baffled and subdued, by refusing to humour and feed them, these being only supported by use and exercise. This sole end of another happily immortal life is that which really merits that we should abandon the pleasures and conveniences of this; and he who can really and constantly inflame his soul with the ardour of this vivid faith and hope, erects for himself in solitude a more voluptuous and delicious life than any other sort of existence.
That also, he said, I understand; you mean, for example, as in tragedy.
Labour not as one to whom it is appointed to be wretched, nor as one that either would be pitied, or admired; but let this be thine only care and desire; so always and in all things to prosecute or to forbear, as the law of charity, or mutual society doth require.
Yes, I said, and now having spoken of it, I must add how charming the science is! and in how many ways it conduces to our desired end, if pursued in the spirit of a philosopher, and not of a shopkeeper!
It appears to be reason, when a man talks of retiring from the world, that he should look quite out of [for] himself. These do it but by halves: they design well enough for themselves when they shall be no more in it; but still they pretend to extract the fruits of that design from the world, when absent from it, by a ridiculous contradiction.
Or you may suppose the opposite case—that the intermediate passages are omitted, and the dialogue only left.
Then this is a kind of knowledge which legislation may fitly prescribe; and we must endeavour to persuade those who are to be the principal men of our State to go and learn arithmetic, not as amateurs, but they must carry on the study until they see the nature of numbers with the mind only; nor again, like merchants or retail-traders, with a view to buying or selling, but for the sake of their military use, and of the soul herself; and because this will be the easiest way for her to pass from becoming to truth and being.
Either teach them better if it be in thy power; or if it be not, remember that for this use, to bear with them patiently, was mildness and goodness granted unto thee. The Gods themselves are good unto such; yea and in some things, (as in matter of health, of wealth, of honour,) are content often to further their endeavours: so good and gracious are they. And mightest thou not be so too? or, tell me, what doth hinder thee?
[“Is all that thy learning nothing, unless another knows that thou knowest?”--Persius, Sat., i. 23.]
Or, if the poet everywhere appears and never conceals himself, then again the imitation is dropped, and his poetry becomes simple narration. However, in order that I may make my meaning quite clear, and that you may no more say, ‘I don’t understand,’ I will show how the change might be effected. If Homer had said, ‘The priest came, having his daughter’s ransom in his hands, supplicating the Achaeans, and above all the kings;’ and then if, instead of speaking in the person of Chryses, he had continued in his own person, the words would have been, not imitation, but simple narration. The passage would have run as follows (I am no poet, and therefore I drop the metre), ‘The priest came and prayed the gods on behalf of the Greeks that they might capture Troy and return safely home, but begged that they would give him back his daughter, and take the ransom which he brought, and respect the God. Thus he spoke, and the other Greeks revered the priest and assented. But Agamemnon was wroth, and bade him depart and not come again, lest the staff and chaplets of the God should be of no avail to him—the daughter of Chryses should not be released, he said—she should grow old with him in Argos. And then he told him to go away and not to provoke him, if he intended to get home unscathed. And the old man went away in fear and silence, and, when he had left the camp, he called upon Apollo by his many names, reminding him of everything which he had done pleasing to him, whether in building his temples, or in offering sacrifice, and praying that his good deeds might be returned to him, and that the Achaeans might expiate his tears by the arrows of the god,’—and so on. In this way the whole becomes simple narrative.