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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

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Philosophical problems arise when language goes on holiday
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A confession has to be part of your new life.
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So we do sometimes think because it has been found to pay.
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There can never be surprises in logic.
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A man will be imprisoned in a room with a door that's unlocked and opens inwards as long as it does not occur to him to pull rather than push it.
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It is an hypothesis that the sun will rise tomorrow: and this means that we do not know whether it will rise.
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Philosophy aims at the logical clarification of thoughts. Philosophy is not a body of doctrine but an activity. A philosophical work consists essentially of elucidations.
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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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What should we gain by a definition, as it can only lead us to other undefined terms?
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Talent is a spring from which fresh water always flows.- But this spring is worthless if no good use is made of it.
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Sometimes, in doing philosophy, one just wants to utter an inarticulate sound.
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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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If, for example, you were to think more deeply about death, then it would be truly strange if, in so doing, you did not encounter new images.
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For life in the present there is no death. Death is not an event in life. It is not a fact in the world.
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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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If suicide is allowed then everything is allowed. If anything is not allowed then suicide is not allowed. This throws a light on the nature of ethics, for suicide is, so to speak, the elementary sin. And when one investigates it it is like investigating mercury vapour in order to comprehend the nature of vapours.
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The sole remaining task for philosophy is the analysis of language.
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What signs fail to express, their application shows. What signs slur over, their application says clearly.
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Ethics and aesthetics are one.
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The world of those who are happy is different from the world of those who are not.
Ludwig Wittgenstein