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All mathematics is tautology.

Ludwig Wittgenstein

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Ludwig Wittgenstein
Age: 62 †
Born: 1889
Born: April 26
Died: 1951
Died: April 29
Aphorist
Architectural Theoretician
Epistemologist
Logician
Mathematician
Philosopher
Philosopher Of Language
Professor
Teacher
Vienna
Austria
Tautology
Mathematics

More quotes by Ludwig Wittgenstein

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The difficulty in philosophy is to say no more than we know.
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At the core of all well-founded belief lies belief that is unfounded.
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Don't think, but look! (PI 66)
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When you are philosophizing you have to descend into primeval chaos and feel at home there.
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All philosophy is a 'critique of language' (though not in Mauthner's sense). It was Russell who performed the service of showing that the apparent logical form of a proposition need not be its real one.
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One cannot guess how a word functions. One has to look at its use and learn from that. But the difficulty is to remove the prejudice which stands in the way of doing this. It is not a stupid prejudice.
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A confession has to be part of your new life.
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Ethics and aesthetics are one.
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Black seems to make a colour cloudy, but darkness doesn't. A ruby could thus keep getting darker without ever becoming cloudy but if it became blackish red, it would become cloudy.
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Don't get involved in partial problems, but always take flight to where there is a free view over the whole single great problem, even if this view is still not a clear one.
Ludwig Wittgenstein
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Believers who have formulated such proofs [for God's existence] ... would never have come to believe as a result of such proofs
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I'm doing philosophy like an old woman, first I'm looking for my pencil, then I'm looking for my glasses, then I'm looking for my pencil again.
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I am showing my pupils details of an immense landscape which they cannot possibly know their way around.
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Never stay up on the barren heights of cleverness, but come down into the green valleys of silliness.
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Philosophy is like trying to open a safe with a combination lock: each little adjustment of the dials seems to achieve nothing, only when everything is in place does the door open.
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Words are probes. Some reach very deep, some only to a little depth.
Ludwig Wittgenstein
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It's impossible for me to say one word about all that music has meant to me in my life. How, then, can I hope to be understood?
Ludwig Wittgenstein
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The totality of facts determines both what is the case, and also all that is not the case.
Ludwig Wittgenstein
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Concerning that which cannot be talked about, we should not say anything.
Ludwig Wittgenstein
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There is not a philosophical method, though there are indeed methods, like different therapies.
Ludwig Wittgenstein