[T]he enigma of the continuum arises because language misleads us into applying to it a picture that doesn’t fit. Set theory preserves the inappropri… - Ludwig Wittgenstein

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[T]he enigma of the continuum arises because language misleads us into applying to it a picture that doesn’t fit. Set theory preserves the inappropriate picture of something discontinuous, but makes statements about it that contradict the picture, under the impression that it is breaking with prejudices; whereas what should really have been done is to point out that the picture just doesn’t fit…

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About Ludwig Wittgenstein

Ludwig Wittgenstein (26 April 1889 – 29 April 1951) was an Austrian-born philosopher who spent much of his life in England.

Biography information from Wikiquote

Also Known As

Native Name: Ludwig Josef Johann Wittgenstein
Alternative Names: Ludwig Joseph Johann Wittgenstein Wittgenstein
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Additional quotes by Ludwig Wittgenstein

"It is necessary to be given the prop that all elementary props are given." This is not necessary because it is even impossible. There is no such prop! That all elementary props are given is SHOWN by there being none having an elementary sense which is not given.

Another alternative would have been to give you what's called a popular-scientific lecture, that is a lecture intended to make you believe that you understand a thing which actually you don't understand, and to gratify what I believe to be on of the lowest desires of modern people, namely the superficial curiosity about the latest discoveries of science.

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The world is my world: this is shown by the fact that the limits of language stand for the limits of my world…I am my world.

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