CONSISTENCY AND THE THEORY OF TRUTH

CONSISTENCY AND THE THEORY OF TRUTH
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一致性和真理理论

DOI:
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发表时间:
2015
期刊:
The Review of Symbolic Logic
影响因子:
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通讯作者:
Richard G. Heck
Richard G. Heck
中科院分区:
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文献类型:
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作者:
Richard G. Heck

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真理论的逻辑力量是什么?也就是说:如果你把一个理论${cal T}$加上一个真理理论,那么与${cal T}$相比,得到的理论有多强?一旦这个问题被恰当地表述出来,答案就会变得像人们想要的那样优雅:至少当${cal T}$是公理化的理论时,真理理论或多或少地充当了一种抽象的一致性陈述。然而,为了证明这一结果,我们不得不用与以往多少不同的方式来表述真值理论,而是遵循塔斯基从对象理论中“解开”句法理论。
Abstract What is the logical strength of theories of truth? That is: If you take a theory ${cal T}$ and add a theory of truth to it, how strong is the resulting theory, as compared to ${cal T}$? Once the question has been properly formulated, the answer turns out to be about as elegant as one could want: At least when ${cal T}$ is finitely axiomatized theory, theories of truth act more or less as a kind of abstract consistency statement. To prove this result, however, we have to formulate truth-theories somewhat differently from how they have been and instead follow Tarski in ‘disentangling’ syntactic theories from object theories.
真相与加速
DOI: 10.1017/s1755020314000070
发表时间: 2014
期刊: The Review of Symbolic Logic
影响因子: --
作者:
Martin Fischer
通讯作者: Martin Fischer