20200702 Kurt Tucholsky (1890-1935)



Kurt Tucholsky (1890–1935): «Ich glaube jedem, der die Wahrheit sucht. Ich glaube keinem, der sie gefunden hat.»



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The Liar Paradox

In the Titus letter, the Cretan Epimenides is credited with a paradox that has contributed decisively to the development of modern mathematics and computers: a liar says he is lying. Is he lying? He describes the world correctly, so he doesn’t lie, but he’s right – he’s right to say he’s lying – so he’s lying. But if he lies, the world is as he describes it, so he is right and does not lie. If he lies, he does not lie; if he does not lie, he is lying – we have a contradiction and a problem. At least for mathematics, this problem was solved by the Polish logician Alfred Tarski by banishing sentences such as „This sentence is wrong“ from formal language. In our own language, however, the sentence can be formed, and it is still not clear how we should deal with it. For I can quite simply say and ask if this is true: the last sentence of this section is wrong.

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