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CALCULIZING CLASSICAL INFERENTIAL EROTETIC LOGIC
The Review of Symbolic Logic ( IF 0.9 ) Pub Date : 2020-06-29 , DOI: 10.1017/s1755020320000131
MORITZ CORDES

This paper contributes to the calculization of evocation and erotetic implication as defined by Inferential Erotetic Logic (IEL). There is a straightforward approach to calculizing (propositional) erotetic implication which cannot be applied to evocation. First-order evocation is proven to be uncalculizable, i.e. there is no proof system, say FOE, such that for all $X, Q$ : X evokes Q iff there is an FOE-proof for the evocation of Q by X. These results suggest a critique of the represented approaches to calculizing IEL. This critique is expanded into a programmatic reconsideration of the IEL-definitions of evocation and erotetic implication. From a different point of view these definitions should be seen as desiderata that may or may not play the role of a point of orientation when setting up “rules of asking.”

中文翻译:

经典推理色情逻辑的计算

本文有助于计算由推理色情逻辑 (IEL) 定义的唤起和色情暗示。有一种直接的方法可以计算(命题)色情暗示,但不能应用于唤起。一阶唤起被证明是不可计算的,即没有证明系统,比如说 FOE,这样对于所有$X, Q$X唤起如果有一个 FOE 证明来唤起经过X. 这些结果表明了对计算 IEL 的代表方法的批评。这种批评被扩展为对 IEL 对唤起和色情暗示的定义的程序性重新考虑。从不同的角度来看,这些定义应该被视为在制定“询问规则”时可能会或可能不会发挥导向点作用的需求。
更新日期:2020-06-29
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