Johnson-Laird P N, Hasson Uri
Department of Psychology, Princeton University, Princeton, NJ 08544, USA.
Mem Cognit. 2003 Oct;31(7):1105-13. doi: 10.3758/bf03196131.
How do logically naive individuals determine that an inference is invalid? In logic, there are two ways to proceed: (1) make an exhaustive search but fail to find a proof of the conclusion and (2) use the interpretation of the relevant sentences to construct a counterexample--that is, a possibility consistent with the premises but inconsistent with the conclusion. We report three experiments in which the strategies that individuals use to refute invalid inferences based on sentential connectives were examined. In Experiment 1, the participants' task was to justify their evaluations, and it showed that they used counterexamples more often than any other strategy. Experiment 2 showed that they were more likely to use counterexamples to refute invalid conclusions consistent with the premises than to refute invalid conclusions inconsistent with the premises. In Experiment 3, no reliable difference was detected in the results between participants who wrote justifications and participants who did not.
逻辑上缺乏经验的个体如何判断一个推理是无效的呢?在逻辑学中,有两种方法:(1)进行详尽的搜索但未能找到结论的证明;(2)利用相关句子的解释构建一个反例——也就是说,一种与前提一致但与结论不一致的可能性。我们报告了三项实验,这些实验考察了个体用于反驳基于句子连接词的无效推理的策略。在实验1中,参与者的任务是为他们的评估提供理由,结果表明他们使用反例的频率高于任何其他策略。实验2表明,与反驳与前提不一致的无效结论相比,他们更有可能使用反例来反驳与前提一致的无效结论。在实验3中,撰写理由的参与者和未撰写理由的参与者的结果之间未检测到可靠的差异。