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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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Mathematics is a logical method. . . . Mathematical propositions express no thoughts. In life it is never a mathematical proposition which we need, but we use mathematical propositions only in order to infer from propositions which do not belong to mathematics to others which equally do not belong to mathematics.
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The object of philosophy is the logical clarification of thought.
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If we spoke a different language, we would perceive a somewhat different world.
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You can't think decently if you're not willing to hurt yourself
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A new word is like a fresh seed sown on the ground of the discussion.
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Burning in effigy. Kissing the picture of one's beloved... it aims at nothing at all we just behave this way and then we feel satisfied.
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Philosophy can be said to consist of three activities: to see the commonsense answer, to get yourself so deeply into the problem that the common sense answer is unbearable, and to get from that situation back to the commonsense answer.
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The world is made up of facts, not things.
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A philosopher always finds more grass to feed upon in the valleys of stupidity than on the arid heights of intelligence.
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Philosophy just puts everything before us, and neither explains nor deduces anything.-Since everything lies open to view there is nothing to explain
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Where does our investigation get its importance from, since it seems only to destroy everything interesting, that is, all that is great and important? (As it were all the buildings, leaving behind only bits of stone and rubble.) What we are destroying is nothing but houses of cards and we are clearing up the ground of language on which they stand.
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Only let's cut out the transcendental twaddle when the whole thing is as plain as a sock on the jaw.
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At the core of all well-founded belief lies belief that is unfounded.
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There is such a thing as the impression of luminosity.
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We must plow through the whole of language.
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The only life that is happy is the life that can renounce the amenities of the world. To it the amenities of the world are so many graces of fate.
Ludwig Wittgenstein
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One of the most misleading representational techniques in our language is the use of the word 'I.'
Ludwig Wittgenstein
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What signs fail to express, their application shows. What signs slur over, their application says clearly.
Ludwig Wittgenstein
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For a large class of cases - though not for all - in which we employ the word meaning it can be explained thus: the meaning of a word is its use in the language.
Ludwig Wittgenstein
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An entire mythology is stored within our language.
Ludwig Wittgenstein