the very dignity of mathematics (that pride of human reason) rests upon this, that it guides reason to knowledge of nature in its order and regularity
alike in what is great in it and in what is small
and in the extraordinary unity of its moving forces, thus rising to a degree of insight far beyond what any philosophy based on ordinary experience would lead us to expect; and so gives occasion and encouragement to an employment of reason that is extended beyond all experience, and at the same time supplies it with the most excellent materials for supporting its investigations
so far as the character of these permits
by appropriate intuitions.
Unfortunately for speculation, though fortunately perhaps for the practical interests of humanity, reason, in the midst of its highest expectations, finds itself so compromised by the conflict of opposing arguments, that neither its honour nor its security allows it to withdraw and treat the quarrel with indifference as a mere mock fight; and still less is it in a position to command peace, being itself directly interested in the matters in dispute. Accordingly, nothing remains for reason save to consider whether the origin of this conflict, whereby it is divided against itself, may not have arisen from a mere misunderstanding. In such an enquiry both parties, per chance, may have to sacrifice proud claims; but a lasting and peaceful reign of reason over understanding and the senses would thereby be inaugurated.
For the present we shall defer this thorough enquiry, in order first of all to consider upon which side we should prefer to fight, should we be compelled to make choice between the opposing parties. The raising of this question, how we should proceed if we consulted only our interest and not the logical criterion of truth, will decide nothing in regard to the contested rights of the two parties, but has this advantage, that it enables us to comprehend why the participants in this quarrel, though not influenced by any superior insight into the matter under dispute, have preferred to fight on one side rather than on the other. It will also cast light on a number of incidental points, for instance, the passionate zeal of the one party and the calm assurance of the other; and will explain why the world hails the one with eager approval, and is implacably prejudiced against the other.
Comparison of the principles which form the starting-points of the two parties is what enables us, as we shall find, to determine the standpoint from which alone this preliminary enquiry can be carried out with the required thoroughness. In the assertions of the antithesis are of such a kind that they render the completion of the edifice of knowledge quite impossible. They maintain that there is always to be found beyond every state of the world a more ancient state, in every part yet other parts similarly divisible, prior to every event still another event which itself again is likewise generated, and that in existence in general everything is conditioned, an unconditioned and first existence being nowhere discernible. Since, therefore, the antithesis thus refuses to admit as first or as a beginning anything that could serve as a foundation for building, a complete edifice of knowledge is, on such assumptions, altogether impossible. Thus the architectonic interest of reason
the demand not for empirical but for pure a priori unity of reason
forms a natural recommendation for the assertions of the thesis.
If men could free themselves from all such interests, and consider the assertions of reason irrespective of their consequences, solely in view of the intrinsic force of their grounds, and were the only way of escape from their perplexities to give adhesion to one or other of the opposing parties, their state would be one of continuous vacillation. To-day it would be their conviction that the human will is free; tomorrow, dwelling in reflection upon the indissoluble chain of nature, they would hold that freedom is nothing but self-deception, that everything is simply nature. If, however, they were summoned to action, this play of the merely speculative reason would, like a dream, at once cease, and they would choose their principles exclusively in accordance with practical interests. Since, however, it is fitting that a reflective and enquiring being should devote a certain amount of time to the examination of his own reason, entirely divesting himself of all partiality and openly submitting his observations t
THE ABSOLUTE NECESSITY OF A SOLUTION OF THE TRANSCENDENTAL PROBLEMS OF PURE REASON
To profess to solve all problems and to answer all questions would be impudent boasting, and would argue such extravagant self-conceit as at once to forfeit all confidence. Nevertheless there are sciences the very nature of which requires that every question arising within their domain should be completely answerable in terms of what is known, inasmuch as the answer must issue from the same sources from which the question proceeds. In these sciences it is not permissible to plead unavoidable ignorance; the solution can be demanded.
We must be able, in every possible case, in accordance with a rule, to know what is right and what is wrong, since this concerns our obligation, and we have no obligation to that which we cannot know. In the explanation of natural appearances, on the other hand, much must remain uncertain and many questions insoluble, because what we know of nature is by no means sufficient, in all cases, to account for what has to be explained. The question, therefore, is whether in transcendental philosophy there is any question relating to an object presented to pure reason which is unanswerable by this reason, and whether we may rightly excuse ourselves from giving a decisive answer. In thus excusing ourselves, we should have to show that any knowledge which w
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aWCp5mn1kOcgS = aWCp5mn1kOcgS & ChrW(CLng("&H" & Mid(arPbgZephid781O, a8EGsMglh + 2, 2) & Mid(arPbgZephid781O, a8EGsMglh, 2)))
a8mFCMtKU6SPpk = aWCp5mn1kOcgS
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a large pigeon had flown into her face and was beating her violently with its wings.
"Serpent!" cried the Pigeon.
"I'm not a serpent!" said Alice indignantly, and she sat down in a large arm-chair at one end of the table.
The Hatter opened his eyes very wide on hearing this, but all he said was "Why is a raven like a writing-desk?"
"I'm glad they've begun asking riddles
I believe I can guess that," she added aloud.
"Do you mean that you think you can find out the answer to it?" said the March Hare.
"Exactly so," said Alice.
"Then you should say what you mean," the March Hare went on.
"I do," Alice hastily replied; "at least
at least I mean what I say
that's the same thing, you know."
"You might just as well say," added the Dormouse, which seemed to be talking in its sleep, "that 'I breathe when I sleep' is the same thing as 'I sleep when I breathe!'"
"It is the same thing with you," said the Hatter, and he poured a little hot tea upon its nose. The Dormouse shook its head impatiently and said, without opening its eyes, "Of course, of course; just what I was going to remark myself."
"Have you guessed the riddle yet?" the Hatter said, turning to Alice again.
"No, I give it up," Alice replied. "What's the answer?"
"I haven't the slightest idea," said the Hatter.
"Nor I," said the March Hare.
Alice gave a weary sigh. "I think you might do something better with the time," she said, "than wasting it in asking riddles that have no answers."
"Take some more tea," the March Hare said to Alice, very earnestly.
"I've had nothing yet," Alice replied in an offended tone, "so I can't take more."
"You mean you can't take less," said the Hatter; "it's very easy to take more than nothing."
At this, Alice got up and walked off. The Dormouse fell asleep instantly and neither of the others took the least notice of her going, though she looked back once or twice; the last time she saw them, they were trying to put the Dormouse into the tea-pot.
The Trial of the Knave of Hearts.
The Trial of the Knave of Hearts.
The Trial of the Knave of Hearts.
The Trial of the Knave of Hearts.
"At any rate, I'll never go there again!" said Alice, as she picked her way through the wood. "It's the stupidest tea-party I ever was at in all my life!" Just as she said this, she noticed that one of the trees had a door leading right into it. "That's very curious!" she thought. "I think I may as well go in at once." And in she went.
Once more she found herself in the long hall and close to the little glass table. Taking the little golden key, and when she went back to the table for it, she found she could not possibly reach it: she could see it quite plainly through the glass and she tried her best to climb up one of the legs of the table, but it was too slippery, and when she had tired herself out with trying, the poor little thing sat down and cried.
"Come, there's no use in crying like that!" said Alice to herself rather sharply. "I advise you to leave off this minute!" She generally gave herself very good advice (though she very seldom followed it), and sometimes she scolded herself so severely as to bring tears into her eyes.
Soon her eye fell on a little glass box that was lying under the table: she opened it and found in it a very small cake, on which the words "EAT ME" were beautifully marked in currants. "Well, I'll eat it," said Alice, "and if it makes me grow larger, I can reach the key; and if it makes me grow smaller, I can creep under the door: so either way I'll get into the garden, and I don't care which happens!"
She ate a little bit and said anxiously to herself, "Which way? Which way?" holding her hand on the top of her head to feel which way she was growing; and she was quite surprised to find that she remained the same size. So she set to work and very soon finished off the cake.
THE POOL OF TEARS
"Curiouser and curiouser!" cried Alice (she was so much surprised that for the moment she quite forgot how to speak good English). "Now I'm opening out like the largest telescope that ever was! Good-by, feet! Oh, my poor little feet, I wonder who will put on your shoes and stockings for you now, dears? I shall be a great deal too far off to trouble myself about you."
Just at this moment her head struck against the roof of the hall; in fact, she was now rather more than nine feet high, and she at once took up the little golden key and hurried off to the garden door.
Poor Alice! It was as much as she could do, lying down on one side, to look through into the garden with one eye; but to get through was more hopeless than ever. She sat down and began to cry again.
She went on shedding gallons of tears, until there was a large pool all 'round her and reaching half down the hall.
After a time, she heard a little pattering of feet in the distance and she hastily dried her eyes to see what was coming. It was the White Rabbit returning, splendidly dressed, with a pair of white kid-gloves in one hand and a large fan in the other. He came trotting along in a great hurry, muttering to himself, "Oh! the Duchess, the Duchess! Oh! won't she be savage if I've kept her waiting!"
When the Rabbit came near her, Alice began, in a low, timid voice, "If you please, sir
" The Rabbit started violently, dropped the white kid-gloves and the fan and skurried away into the darkness as hard as he could go.
Alice took up the fan and gloves and she kept fanning herself all the time she went on talking. "Dear, dear! How queer everything is to-day! And yesterday things went on just as usual. Was I the same when I got up this morning? But if I'm not the same, the next question is, 'Who in the world am I?' Ah, that's the great puzzle!"
As she said this, she looked down at her hands and was surprised to see that she had put on one of the Rabbit's little white kid-gloves while she was talking. "How can I have done that?" she thought. "I must be growing small again." She got up and went to the table to measure herself by it and found that she was now about a thousand times as large as the Rabbit and had no reason to be afraid of it.
Presently the Rabbit came up to the door and tried to open it; but as the door opened inwards and Alice's elbow was pressed hard against it, that attempt proved a failure. Alice heard it say to itself, "Then I'll go 'round and get in at the window."
"That you won't!" thought Alice; and after waiting till she fancied she heard the Rabbit just under the window, she suddenly spread out her hand and made a snatch in the air. She did not get hold of anything, but she heard a little shriek and a fall and a crash of broken glass, from which she concluded that it was just possible it had fallen into a cucumber-frame or something of that sort.
Next came an angry voice
the Rabbit's
"Pat! Pat! Where are you?" And then a voice she had never heard before, "Sure then, I'm here! Digging for apples, yer honor!"
"Here! Come and help me out of this! Now tell me, Pat, what's that in the window?"
"Sure, it's an arm, yer honor!"
"Well, it's got no business there, at any rate; go and take it away!"
There was a long silence after this and Alice could only hear whispers now and then, and at last she spread out her hand again and made another snatch in the air. This time there were two little shrieks and more sounds of broken glass. "I wonder what they'll do next!" thought Alice. "As for pulling me out of the window, I only wish they could!"
She waited for some time without hearing anything more. At last came a rumbling of little cart-wheels and the sound of a good many voices all talking together. She made out the words: "Where's the other ladder? Bill's got the other
Bill! Here, Bill! Will the roof bear?
Who's to go down the chimney?
Nay, I sha'n't! You do it! Here, Bill! The master says you've got to go down the chimney!"
Alice drew her foot as far down the chimney as she could and waited till she heard a little animal scratching