Rule Discovery Participants’ final hypotheses were coded as correct or incorrect using Gemini 2.5 Flash-Lite (Google API).111The pre-registration specified coding would be done using Anthropic’s Claude Haiku 4.5. We decided to use Gemini 2.5 Flash-Lite instead because it was available through our institution’s sandbox and cheaper to deploy at scale. A hypothesis was coded as correct if it specified “even numbers” (or equivalent) as the only requirement. Hypotheses that were more specific (e.g., “even numbers increasing by 2”) or more general (e.g., “any three numbers”) were coded as incorrect. 504 participants (90.5%) provided a hypothesis in Round 3 and were included in discovery rate analyses.222The rate of completion did not differ significantly by condition, χ2(4)=9.04\chi^{2}(4)=9.04, p=.060p=.060.
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圖像加註文字，在以色列特拉維夫，伊朗飛彈襲擊亦造成建築物受損。伊朗國家媒體證實，最高領袖哈梅內伊在以色列和美國於週六上午（當地時間）開始對伊朗各地發動攻擊後死亡。
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