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.
人各有命，动物亦然。名为阿基米德的小白鼠，从实验室里逃出，会算数学题，却不幸沾染上了酒瘾；原本备受宠爱的母猫，诞下六只小猫，被杜太白命名为“富贵、荣华、吉祥、如意、招财、进宝”，它们见证了杜太白的“专制与奴役之路”，自己也最终沦为街头的流浪猫；不堪凌辱跳井自尽的大黑猪，竟在泰山之巅变成了点化杜太白的飞天凤凰，正是这只大黑猪，对杜太白接连发出天问，留下了“活扣”之谜……
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