בתשובה להאייל האלמוני, 10/08/03 6:24
המלך הוא ערום? 162588
1. השפה שלנו אינה מערכת אקסיומטית. מתמטיקה לצורך העניין אינה שפה (אם אינך מסכים, תענה במתמטיקה ;)

יש כמה פסז'ים רלוונטיים מהחקירות:

98.On the one hand it is clear that every sentence in our language 'is in order as it is'. That is to say, we are not striving after an ideal, as if our ordinary vague sentences had not yet got a quite unexceptionable sense, and a perfect language awaited construction by us. – On the other hand it seems clear that where there is sense there must be perfect order. — So there must be perfect order even in the vaguest sentence.

99. The sense of a sentence – one would like to say – may, of course, leave this or that open, but the sentence must nevertheless have a definite sense. An indefinite sense – that would really not be a sense at all. – This is like: An indefinite boundary is not really a boundary at all. Here one thinks perhaps: if I say "I have locked the man up fast in the room – there is only one door left open" – then I simply haven't locked him in at all; his being locked in is a sham. One would be inclined to say here: "You haven't done anything at all". An enclosure with a hole in it is as good as none. – But is that true?

100. "But still, it isn't a game, if there is some vagueness in the rules". – But does this prevent its being a game? – "Perhaps you'll call it a game, but at any rate it certainly isn't a perfect game." This means: it has impurities, and what I am interested in at present is the pure article. – But I want to say: we misunderstand the role of the ideal in our language. That is to say: we too should call it a game, only we are dazzled by the ideal and therefore fail to see the actual use of the word game" clearly.

101. We want to say that there can't be any vagueness in logic. The idea now absorbs us, that the ideal 'must' be found in reality. Meanwhile we do not as yet see how it occurs there, nor do we understand the nature of this "must". We think it must be in reality; for we think we already see it there.

102. The strict and clear rules of the logical structure of propositions appear to us as something in the background – hidden in the medium of the understanding. I already see them (even though through a medium): for I understand the propositional sign, I use it to say something.

103. The ideal, as we think of it, is unshakable. You can never get outside it; you must always turn back. There is no outside, outside you cannot breathe. – Where does this idea come from? It is like a pair of glasses on our nose through which we see whatever we look at. It never occurs to us to take them off.

104. We predicate of the thing what lies in the method of representing it. Impressed by the possibility of a comparison, we think we are perceiving a state of affairs of the highest generality.

105. When we believe that we must find that order, must find the ideal, in our actual language, we become dissatisfied with what are ordinarily called "propositions", "words", "signs".

The proposition and the word that logic deals with are supposed to be something pure and clear-cut. And we rack our brains over the nature of the real sign. – It is perhaps the idea of the sign? or the idea at the present moment?

106. Here it is difficult as it were to keep our heads up, – to see that we must stick to the subjects of our every-day thinking, and not go astray and imagine that we have to describe extreme subtleties, which in turn we are after all quite unable to describe with the means at our disposal. We feel as if we had to repair a torn spider's web with our fingers.

107. The more narrowly we examine actual language, the sharper becomes the conflict between it and our requirement. (For the crystal- line purity of logic was, of course, not a result of investigation: it was a requirement.) The conflict becomes intolerable; the requirement is now in danger of becoming empty. – We have got on to slippery ice where there is no friction and so in a certain sense the conditions are ideal, but also, just because of that, we are unable to walk. We want to walk: so we need friction. Back to the rough ground!

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