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说谎者悖论释疑

Explanation for the knotty of “Liar paradox”

中文摘要英文摘要

在与数学基础相关的一系列悖论疑难中,说谎者悖论往往被赋予一种特殊意义,成为发展现代数理逻辑的思想基础。但是,无论是Russell还是Tarski为其构造的解释都不恰当。说谎者悖论和所有悖论一样,没有任何神奇的地方,仍然最终归咎于相关思维逻辑的不当和错误。

mong a series of paradoxes called as dealing with mathematical foundation, the liar paradox has been usually endowed with some special implication and regarded as the ground to develop modern mathematical logic. But, neither Russell nor Tarski could construct a reasonable interpretation for the paradox. Actually, same as any paradox else, the liar paradox does not have any mystery and should finally be attributed to the improprieties or mistakes presented in the related logic thinking.

杨本洛、宋文淼

数学

悖论,说谎者悖论,矛盾,逻辑,语义,相容性

paradox liar paradox contradiction logic semantic self-consistence

杨本洛,宋文淼.说谎者悖论释疑[EB/OL].(2007-09-20)[2025-08-30].http://www.paper.edu.cn/releasepaper/content/200709-416.点此复制

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