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{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：火山喷发前动物躁动\n提出的两个互斥假设：\n1. 地震前兆假说\n2. 气压变化假说\n已知：两种地质现象不会同时发生\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "火山喷发前动物躁动", "hypotheses": ["地震前兆假说", "气压变化假说"], "contradiction": "两种地质现象不会同时发生", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：实验室灯亮时老鼠逃跑\n提出的两个互斥假设：\n1. 灯光导致逃跑\n2. 声音导致逃跑\n已知：灯光与声音开启条件互斥\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "实验室灯亮时老鼠逃跑", "hypotheses": ["灯光导致逃跑", "声音导致逃跑"], "contradiction": "灯光与声音开启条件互斥", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：实验室灯亮时老鼠逃跑\n提出的两个互斥假设：\n1. 灯光导致逃跑\n2. 声音导致逃跑\n已知：灯光与声音开启条件互斥\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "实验室灯亮时老鼠逃跑", "hypotheses": ["灯光导致逃跑", "声音导致逃跑"], "contradiction": "灯光与声音开启条件互斥", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：实验室灯亮时老鼠逃跑\n提出的两个互斥假设：\n1. 灯光导致逃跑\n2. 声音导致逃跑\n已知：灯光与声音开启条件互斥\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "实验室灯亮时老鼠逃跑", "hypotheses": ["灯光导致逃跑", "声音导致逃跑"], "contradiction": "灯光与声音开启条件互斥", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n事件Z ⇒ (理论Γ ∨ H₂), 其中理论Γ与H₂矛盾\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "事件Z ⇒ (理论Γ ∨ H₂), 其中理论Γ与H₂矛盾", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：实验室灯亮时老鼠逃跑\n提出的两个互斥假设：\n1. 灯光导致逃跑\n2. 声音导致逃跑\n已知：灯光与声音开启条件互斥\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "实验室灯亮时老鼠逃跑", "hypotheses": ["灯光导致逃跑", "声音导致逃跑"], "contradiction": "灯光与声音开启条件互斥", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：火山喷发前动物躁动\n提出的两个互斥假设：\n1. 地震前兆假说\n2. 气压变化假说\n已知：两种地质现象不会同时发生\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "火山喷发前动物躁动", "hypotheses": ["地震前兆假说", "气压变化假说"], "contradiction": "两种地质现象不会同时发生", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：火山喷发前动物躁动\n提出的两个互斥假设：\n1. 地震前兆假说\n2. 气压变化假说\n已知：两种地质现象不会同时发生\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "火山喷发前动物躁动", "hypotheses": ["地震前兆假说", "气压变化假说"], "contradiction": "两种地质现象不会同时发生", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：火山喷发前动物躁动\n提出的两个互斥假设：\n1. 地震前兆假说\n2. 气压变化假说\n已知：两种地质现象不会同时发生\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "火山喷发前动物躁动", "hypotheses": ["地震前兆假说", "气压变化假说"], "contradiction": "两种地质现象不会同时发生", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：火山喷发前动物躁动\n提出的两个互斥假设：\n1. 地震前兆假说\n2. 气压变化假说\n已知：两种地质现象不会同时发生\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "火山喷发前动物躁动", "hypotheses": ["地震前兆假说", "气压变化假说"], "contradiction": "两种地质现象不会同时发生", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n(理论Q1 → 事件Z) ∧ (假设β → 事件Z) ∧ (理论Q1 ⊻ 假设β)\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "(理论Q1 → 事件Z) ∧ (假设β → 事件Z) ∧ (理论Q1 ⊻ 假设β)", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n事件Z ⇒ (理论Γ ∨ H₂), 其中理论Γ与H₂矛盾\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "事件Z ⇒ (理论Γ ∨ H₂), 其中理论Γ与H₂矛盾", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n事件Z ⇒ (H₁ ∨ 理论Δ), 其中H₁与理论Δ矛盾\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "事件Z ⇒ (H₁ ∨ 理论Δ), 其中H₁与理论Δ矛盾", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n(理论Q1 → 观测结果Y) ∧ (假设β → 观测结果Y) ∧ (理论Q1 ⊻ 假设β)\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "(理论Q1 → 观测结果Y) ∧ (假设β → 观测结果Y) ∧ (理论Q1 ⊻ 假设β)", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：火山喷发前动物躁动\n提出的两个互斥假设：\n1. 地震前兆假说\n2. 气压变化假说\n已知：两种地质现象不会同时发生\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "火山喷发前动物躁动", "hypotheses": ["地震前兆假说", "气压变化假说"], "contradiction": "两种地质现象不会同时发生", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：实验室灯亮时老鼠逃跑\n提出的两个互斥假设：\n1. 灯光导致逃跑\n2. 声音导致逃跑\n已知：灯光与声音开启条件互斥\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "实验室灯亮时老鼠逃跑", "hypotheses": ["灯光导致逃跑", "声音导致逃跑"], "contradiction": "灯光与声音开启条件互斥", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：实验室灯亮时老鼠逃跑\n提出的两个互斥假设：\n1. 灯光导致逃跑\n2. 声音导致逃跑\n已知：灯光与声音开启条件互斥\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "实验室灯亮时老鼠逃跑", "hypotheses": ["灯光导致逃跑", "声音导致逃跑"], "contradiction": "灯光与声音开启条件互斥", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：火山喷发前动物躁动\n提出的两个互斥假设：\n1. 地震前兆假说\n2. 气压变化假说\n已知：两种地质现象不会同时发生\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "火山喷发前动物躁动", "hypotheses": ["地震前兆假说", "气压变化假说"], "contradiction": "两种地质现象不会同时发生", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：实验室灯亮时老鼠逃跑\n提出的两个互斥假设：\n1. 灯光导致逃跑\n2. 声音导致逃跑\n已知：灯光与声音开启条件互斥\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "实验室灯亮时老鼠逃跑", "hypotheses": ["灯光导致逃跑", "声音导致逃跑"], "contradiction": "灯光与声音开启条件互斥", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n现象X ⇒ (理论Γ ∨ H₂), 其中理论Γ与H₂矛盾\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "现象X ⇒ (理论Γ ∨ H₂), 其中理论Γ与H₂矛盾", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：实验室灯亮时老鼠逃跑\n提出的两个互斥假设：\n1. 灯光导致逃跑\n2. 声音导致逃跑\n已知：灯光与声音开启条件互斥\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "实验室灯亮时老鼠逃跑", "hypotheses": ["灯光导致逃跑", "声音导致逃跑"], "contradiction": "灯光与声音开启条件互斥", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n事件Z ⇒ (H₁ ∨ 理论Δ), 其中H₁与理论Δ矛盾\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "事件Z ⇒ (H₁ ∨ 理论Δ), 其中H₁与理论Δ矛盾", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：火山喷发前动物躁动\n提出的两个互斥假设：\n1. 地震前兆假说\n2. 气压变化假说\n已知：两种地质现象不会同时发生\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "火山喷发前动物躁动", "hypotheses": ["地震前兆假说", "气压变化假说"], "contradiction": "两种地质现象不会同时发生", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n事件Z ⇒ (理论Γ ∨ 理论Δ), 其中理论Γ与理论Δ矛盾\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "事件Z ⇒ (理论Γ ∨ 理论Δ), 其中理论Γ与理论Δ矛盾", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n(假设α → 事件Z) ∧ (假设β → 事件Z) ∧ (假设α ⊻ 假设β)\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "(假设α → 事件Z) ∧ (假设β → 事件Z) ∧ (假设α ⊻ 假设β)", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n观测结果Y ⇒ (理论Γ ∨ 理论Δ), 其中理论Γ与理论Δ矛盾\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "观测结果Y ⇒ (理论Γ ∨ 理论Δ), 其中理论Γ与理论Δ矛盾", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n事件Z ⇒ (理论Γ ∨ H₂), 其中理论Γ与H₂矛盾\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "事件Z ⇒ (理论Γ ∨ H₂), 其中理论Γ与H₂矛盾", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n事件Z ⇒ (H₁ ∨ 理论Δ), 其中H₁与理论Δ矛盾\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "事件Z ⇒ (H₁ ∨ 理论Δ), 其中H₁与理论Δ矛盾", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n(推论A → 事件Z) ∧ (假设β → 事件Z) ∧ (推论A ⊻ 假设β)\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "(推论A → 事件Z) ∧ (假设β → 事件Z) ∧ (推论A ⊻ 假设β)", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n事件Z ⇒ (理论Γ ∨ 理论Δ), 其中理论Γ与理论Δ矛盾\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "事件Z ⇒ (理论Γ ∨ 理论Δ), 其中理论Γ与理论Δ矛盾", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n(假设α → 观测结果Y) ∧ (理论Q2 → 观测结果Y) ∧ (假设α ⊻ 理论Q2)\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "(假设α → 观测结果Y) ∧ (理论Q2 → 观测结果Y) ∧ (假设α ⊻ 理论Q2)", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n现象X ⇒ (理论Γ ∨ 理论Δ), 其中理论Γ与理论Δ矛盾\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "现象X ⇒ (理论Γ ∨ 理论Δ), 其中理论Γ与理论Δ矛盾", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n(推论A → 观测结果Y) ∧ (假设β → 观测结果Y) ∧ (推论A ⊻ 假设β)\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "(推论A → 观测结果Y) ∧ (假设β → 观测结果Y) ∧ (推论A ⊻ 假设β)", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：实验室灯亮时老鼠逃跑\n提出的两个互斥假设：\n1. 灯光导致逃跑\n2. 声音导致逃跑\n已知：灯光与声音开启条件互斥\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "实验室灯亮时老鼠逃跑", "hypotheses": ["灯光导致逃跑", "声音导致逃跑"], "contradiction": "灯光与声音开启条件互斥", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n(推论A → 现象X) ∧ (推论B → 现象X) ∧ (推论A ⊻ 推论B)\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "(推论A → 现象X) ∧ (推论B → 现象X) ∧ (推论A ⊻ 推论B)", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n观测结果Y ⇒ (H₁ ∨ 理论Δ), 其中H₁与理论Δ矛盾\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "观测结果Y ⇒ (H₁ ∨ 理论Δ), 其中H₁与理论Δ矛盾", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：火山喷发前动物躁动\n提出的两个互斥假设：\n1. 地震前兆假说\n2. 气压变化假说\n已知：两种地质现象不会同时发生\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "火山喷发前动物躁动", "hypotheses": ["地震前兆假说", "气压变化假说"], "contradiction": "两种地质现象不会同时发生", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n事件Z ⇒ (理论Γ ∨ 理论Δ), 其中理论Γ与理论Δ矛盾\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "事件Z ⇒ (理论Γ ∨ 理论Δ), 其中理论Γ与理论Δ矛盾", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n(假设α → 观测结果Y) ∧ (理论Q2 → 观测结果Y) ∧ (假设α ⊻ 理论Q2)\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "(假设α → 观测结果Y) ∧ (理论Q2 → 观测结果Y) ∧ (假设α ⊻ 理论Q2)", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n观测结果Y ⇒ (H₁ ∨ 理论Δ), 其中H₁与理论Δ矛盾\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "观测结果Y ⇒ (H₁ ∨ 理论Δ), 其中H₁与理论Δ矛盾", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：实验室灯亮时老鼠逃跑\n提出的两个互斥假设：\n1. 灯光导致逃跑\n2. 声音导致逃跑\n已知：灯光与声音开启条件互斥\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "实验室灯亮时老鼠逃跑", "hypotheses": ["灯光导致逃跑", "声音导致逃跑"], "contradiction": "灯光与声音开启条件互斥", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：火山喷发前动物躁动\n提出的两个互斥假设：\n1. 地震前兆假说\n2. 气压变化假说\n已知：两种地质现象不会同时发生\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "火山喷发前动物躁动", "hypotheses": ["地震前兆假说", "气压变化假说"], "contradiction": "两种地质现象不会同时发生", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n事件Z ⇒ (H₁ ∨ 理论Δ), 其中H₁与理论Δ矛盾\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "事件Z ⇒ (H₁ ∨ 理论Δ), 其中H₁与理论Δ矛盾", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n现象X ⇒ (理论Γ ∨ H₂), 其中理论Γ与H₂矛盾\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "现象X ⇒ (理论Γ ∨ H₂), 其中理论Γ与H₂矛盾", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n(假设α → 观测结果Y) ∧ (假设β → 观测结果Y) ∧ (假设α ⊻ 假设β)\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "(假设α → 观测结果Y) ∧ (假设β → 观测结果Y) ∧ (假设α ⊻ 假设β)", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：火山喷发前动物躁动\n提出的两个互斥假设：\n1. 地震前兆假说\n2. 气压变化假说\n已知：两种地质现象不会同时发生\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "火山喷发前动物躁动", "hypotheses": ["地震前兆假说", "气压变化假说"], "contradiction": "两种地质现象不会同时发生", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：火山喷发前动物躁动\n提出的两个互斥假设：\n1. 地震前兆假说\n2. 气压变化假说\n已知：两种地质现象不会同时发生\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "火山喷发前动物躁动", "hypotheses": ["地震前兆假说", "气压变化假说"], "contradiction": "两种地质现象不会同时发生", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n(理论Q1 → 现象X) ∧ (理论Q2 → 现象X) ∧ (理论Q1 ⊻ 理论Q2)\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "(理论Q1 → 现象X) ∧ (理论Q2 → 现象X) ∧ (理论Q1 ⊻ 理论Q2)", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n(假设α → 事件Z) ∧ (理论Q2 → 事件Z) ∧ (假设α ⊻ 理论Q2)\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "(假设α → 事件Z) ∧ (理论Q2 → 事件Z) ∧ (假设α ⊻ 理论Q2)", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：火山喷发前动物躁动\n提出的两个互斥假设：\n1. 地震前兆假说\n2. 气压变化假说\n已知：两种地质现象不会同时发生\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "火山喷发前动物躁动", "hypotheses": ["地震前兆假说", "气压变化假说"], "contradiction": "两种地质现象不会同时发生", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：实验室灯亮时老鼠逃跑\n提出的两个互斥假设：\n1. 灯光导致逃跑\n2. 声音导致逃跑\n已知：灯光与声音开启条件互斥\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "实验室灯亮时老鼠逃跑", "hypotheses": ["灯光导致逃跑", "声音导致逃跑"], "contradiction": "灯光与声音开启条件互斥", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n事件Z ⇒ (H₁ ∨ H₂), 其中H₁与H₂矛盾\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "事件Z ⇒ (H₁ ∨ H₂), 其中H₁与H₂矛盾", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n(理论Q1 → 事件Z) ∧ (理论Q2 → 事件Z) ∧ (理论Q1 ⊻ 理论Q2)\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "(理论Q1 → 事件Z) ∧ (理论Q2 → 事件Z) ∧ (理论Q1 ⊻ 理论Q2)", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：实验室灯亮时老鼠逃跑\n提出的两个互斥假设：\n1. 灯光导致逃跑\n2. 声音导致逃跑\n已知：灯光与声音开启条件互斥\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "实验室灯亮时老鼠逃跑", "hypotheses": ["灯光导致逃跑", "声音导致逃跑"], "contradiction": "灯光与声音开启条件互斥", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：实验室灯亮时老鼠逃跑\n提出的两个互斥假设：\n1. 灯光导致逃跑\n2. 声音导致逃跑\n已知：灯光与声音开启条件互斥\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "实验室灯亮时老鼠逃跑", "hypotheses": ["灯光导致逃跑", "声音导致逃跑"], "contradiction": "灯光与声音开启条件互斥", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n(理论Q1 → 观测结果Y) ∧ (理论Q2 → 观测结果Y) ∧ (理论Q1 ⊻ 理论Q2)\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "(理论Q1 → 观测结果Y) ∧ (理论Q2 → 观测结果Y) ∧ (理论Q1 ⊻ 理论Q2)", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "请分析以下逻辑表达式对应的悖论类型：\n(理论Q1 → 现象X) ∧ (理论Q2 → 现象X) ∧ (理论Q1 ⊻ 理论Q2)\n\n选项：\nA. GB Paradox（具有矛盾假设的归纳悖论）\nB. BC Paradox（基于等价转换的验证悖论） \nC. LS Paradox（多重合理假设的冲突悖论）\n答案格式：[[答案字母]]", "ground_truth": {"type": "symbolic", "expression": "(理论Q1 → 现象X) ∧ (理论Q2 → 现象X) ∧ (理论Q1 ⊻ 理论Q2)", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：实验室灯亮时老鼠逃跑\n提出的两个互斥假设：\n1. 灯光导致逃跑\n2. 声音导致逃跑\n已知：灯光与声音开启条件互斥\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "实验室灯亮时老鼠逃跑", "hypotheses": ["灯光导致逃跑", "声音导致逃跑"], "contradiction": "灯光与声音开启条件互斥", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：实验室灯亮时老鼠逃跑\n提出的两个互斥假设：\n1. 灯光导致逃跑\n2. 声音导致逃跑\n已知：灯光与声音开启条件互斥\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "实验室灯亮时老鼠逃跑", "hypotheses": ["灯光导致逃跑", "声音导致逃跑"], "contradiction": "灯光与声音开启条件互斥", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：实验室灯亮时老鼠逃跑\n提出的两个互斥假设：\n1. 灯光导致逃跑\n2. 声音导致逃跑\n已知：灯光与声音开启条件互斥\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "实验室灯亮时老鼠逃跑", "hypotheses": ["灯光导致逃跑", "声音导致逃跑"], "contradiction": "灯光与声音开启条件互斥", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：火山喷发前动物躁动\n提出的两个互斥假设：\n1. 地震前兆假说\n2. 气压变化假说\n已知：两种地质现象不会同时发生\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "火山喷发前动物躁动", "hypotheses": ["地震前兆假说", "气压变化假说"], "contradiction": "两种地质现象不会同时发生", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：火山喷发前动物躁动\n提出的两个互斥假设：\n1. 地震前兆假说\n2. 气压变化假说\n已知：两种地质现象不会同时发生\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "火山喷发前动物躁动", "hypotheses": ["地震前兆假说", "气压变化假说"], "contradiction": "两种地质现象不会同时发生", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：火山喷发前动物躁动\n提出的两个互斥假设：\n1. 地震前兆假说\n2. 气压变化假说\n已知：两种地质现象不会同时发生\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "火山喷发前动物躁动", "hypotheses": ["地震前兆假说", "气压变化假说"], "contradiction": "两种地质现象不会同时发生", "correct_answer": "A"}}
{"data_source": "KorLogicInductionParadox", "prompt": "观察到现象：火山喷发前动物躁动\n提出的两个互斥假设：\n1. 地震前兆假说\n2. 气压变化假说\n已知：两种地质现象不会同时发生\n\n这属于哪个逻辑悖论？\nA. GB Paradox（矛盾假设归纳悖论）\nB. BC Paradox（等价确认悖论）\nC. LS Paradox（多重假设冲突悖论）\n答案请用[[A/B/C]]格式给出", "ground_truth": {"type": "example", "phenomenon": "火山喷发前动物躁动", "hypotheses": ["地震前兆假说", "气压变化假说"], "contradiction": "两种地质现象不会同时发生", "correct_answer": "A"}}