标签:language

  • Later Wittgenstein and the Philosophy of Mathematics of Intuitionism

    Later Wittgenstein and the Philosophy of Mathematics of Intuitionism

    Late Wittgenstein and the Mathematical Philosophy of Intuitionism Abstract: This essay takes intuitionism as its guiding thread to explicate Wittgenstein’s late philosophy of mathematics, with the hope that it may contribute to a grasp of his late philosophy; on the other hand, it also cites Wittgenstein’s philosophical claims to provide support for intuitionism. Thus, this essay attempts both to sort out the mathematical philosophy of Wittgenstein’s later period and, at the same time, to offer a brief critical account of intuitionism. The author discusses separately the views of intuitionism and of late Wittgenstein on themes such as constructivism, empiricism, positivism, Platonism, logicism, formalism, conventionalism, the axiomatization movement, and the development…

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  • Theory Is Not Merely a Set of Propositions or Statements; A Theoretical System Cannot Be Self-Contained

    Theory Is Not Merely a Set of Propositions or Statements; A Theoretical System Cannot Be Self-Contained

    Recently I’ve talked about the relevant issues twice: (studying Wittgenstein, without any tidying up, just pasting the chat log~) “Is theory a set of propositions? Agree or not?”——  A proposition, a declarative sentence, in itself has no meaning if you do not know the meaning of each word in it, but the meaning of words cannot be given entirely within a set of propositions; ultimately, the meaning of words still has to involve referential definitions, so it is bound to draw in practical activity and the question of the way we contemplate the world. “Can a system close itself off?”——  A system cannot close itself off   A theoretical system is…

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  • [U.S.] Jaakko Hintikka: “Wittgenstein”

    [U.S.] Jaakko Hintikka: “Wittgenstein”

    [U.S.] Jaakko Hintikka: “Wittgenstein” Xingding posted on 2007-02-11 23:25:47 [U.S.]Jaakko Hintikka: “Wittgenstein,” translated by Fang Xudong, Zhonghua Book Company, May 2002 I read this on the plane and at the airport on my way back to Shanghai. Since the book is very thin, I originally thought I could finish it during the waiting period, but in the end it took much longer than expected to read it (these past few days I had been reading only light stuff, and this one at last has some connection with philosophy). As a result, I nearly missed boarding… Since I still have not begun an in-depth reading of Wittgenstein’s original works, for the…

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  • On “Gu Chi”

    On “Gu Chi”
    Life & Notes

    On “Gu Chi”

    “Gu Chu” is my primary pen name, that is to say, the one I prefer first, like best, and use most often. Of course, if there is a primary pen name, then there is naturally a secondary one as well: the default “Xingding” under which I post articles here. Its original purpose was simply to keep search engines from finding my Suixuan so easily, because the word “Gu Chu” is probably unique in the whole world—search it and everything you get is me—so I used the word “Xingding,” which when searched turns up all sorts of random odds and ends, instead. But now that I think about it, it hardly…

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  • “A Pitch-Black Void”

    Life & Notes

    “A Pitch-Black Void”

      “Pitch-black!”  It is said that when I first said this sentence, it gave my mother quite a shock, and at the same time filled her with joy.  I can’t remember anything about the situation at the time… hmm, it was probably when I was three years old.  It must have been when my mother was carrying me down the stairs, with no lights on and everything very dark, and for some reason I suddenly blurted out that line. When I said it, my mother thought: Good heavens, this kid can hardly even talk yet, and he already knows how to use idioms! Hmm, he’s got a future; I must…

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  • Speak Less

    Life & Notes

    Speak Less

    For example, young people are never really in a position to argue with seasoned elders about the principles of being human; the only thing you can do is listen. And I have always been the listener, yet no one is willing to take the time to listen to me describe the path of my own heart… Those willing to listen to me laugh are kindred spirits; those who can hear me cry are soul friends. What I lack is not people who understand my thoughts, but people who can patiently listen as I speak them aloud. When I try to express myself, people say my words are all mumbling and…

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