{ "evaluation_id": "EVAL-20260402-181526", "question_id": "REASON-027", "question_text": "If you assume your birth rank among all humans who will ever live is randomly selected, and 100 billion humans have lived so far, then you should predict total humans ≈ 200 billion (50% chance you're in the second half). This implies humanity ends within a few centuries. (1) Is this reasoning valid? (2) What assumptions does it require? (3) Nick Bostrom's Self-Sampling Assumption vs Self-Indication Assumption — which is more reasonable and why?", "category": "reasoning", "timestamp": "2026-04-02T18:15:26.259Z", "display_date": "Apr 02, 2026", "winner": { "name": "Claude Sonnet 4.6", "provider": "openrouter", "score": 9.12 }, "avg_score": 7.917, "matrix_size": 80, "models_used": [ { "id": "grok_420", "name": "Grok 4.20", "provider": "openrouter" }, { "id": "claude_sonnet_46", "name": "Claude Sonnet 4.6", "provider": "openrouter" }, { "id": "mimo_v2_flash", "name": "MiMo-V2-Flash", "provider": "Xiaomi" }, { "id": "gpt_oss_120b", "name": "GPT-OSS-120B", "provider": "OpenAI" }, { "id": "gemini_25_flash", "name": "Gemini 2.5 Flash", "provider": "openrouter" }, { "id": "minimax_m25", "name": "MiniMax M2.5", "provider": "openrouter" }, { "id": "gpt_5_4", "name": "GPT-5.4", "provider": "openrouter" }, { "id": "deepseek_v4", "name": "DeepSeek V4", "provider": "openrouter" }, { "id": "claude_opus_46", "name": "Claude Opus 4.6", "provider": "openrouter" }, { "id": "gemini_31_pro", "name": "Gemini 3.1 Pro", "provider": "openrouter" } ], "rankings": { "claude_sonnet_46": { "display_name": "Claude Sonnet 4.6", "provider": "openrouter", "average_score": 9.13, "score_count": 8, "min_score": 8.2, "max_score": 10, "rank": 1 }, "claude_opus_46": { "display_name": "Claude Opus 4.6", "provider": "openrouter", "average_score": 9.05, "score_count": 9, "min_score": 8.8, "max_score": 9.85, "rank": 2 }, "gpt_5_4": { "display_name": "GPT-5.4", "provider": "openrouter", "average_score": 8.96, "score_count": 9, "min_score": 8.45, "max_score": 9.65, "rank": 3 }, "grok_420": { "display_name": "Grok 4.20", "provider": "openrouter", "average_score": 8.74, "score_count": 9, "min_score": 7.35, "max_score": 10, "rank": 4 }, "gemini_25_flash": { "display_name": "Gemini 2.5 Flash", "provider": "openrouter", "average_score": 8.47, "score_count": 9, "min_score": 7.6, "max_score": 9.65, "rank": 5 }, "deepseek_v4": { "display_name": "DeepSeek V4", "provider": "openrouter", "average_score": 8.08, "score_count": 9, "min_score": 6.95, "max_score": 9, "rank": 6 }, "minimax_m25": { "display_name": "MiniMax M2.5", "provider": "openrouter", "average_score": 7.96, "score_count": 9, "min_score": 6.35, "max_score": 9.05, "rank": 7 }, "gemini_31_pro": { "display_name": "Gemini 3.1 Pro", "provider": "openrouter", "average_score": 7.38, "score_count": 9, "min_score": 5.5, "max_score": 8.65, "rank": 8 }, "gpt_oss_120b": { "display_name": "GPT-OSS-120B", "provider": "OpenAI", "average_score": 6.15, "score_count": 5, "min_score": 0.5, "max_score": 7.95, "rank": 9 }, "mimo_v2_flash": { "display_name": "MiMo-V2-Flash", "provider": "Xiaomi", "average_score": 5.26, "score_count": 4, "min_score": 0.5, "max_score": 8.05, "rank": 10 } }, "judgments": [ { "judge_key": "deepseek_v4", "judge_name": "DeepSeek V4", "respondent_key": "grok_420", "respondent_name": "Grok 4.20", "weighted_score": 8.85, "brief_justification": "Highly accurate, thorough, and insightful with clear communication." }, { "judge_key": "deepseek_v4", "judge_name": "DeepSeek V4", "respondent_key": "claude_sonnet_46", "respondent_name": "Claude Sonnet 4.6", "weighted_score": 9.4, "brief_justification": "Comprehensive and insightful analysis with clear structure and depth." }, { "judge_key": "deepseek_v4", "judge_name": "DeepSeek V4", "respondent_key": "mimo_v2_flash", "respondent_name": "MiMo-V2-Flash", "weighted_score": 8.05, "brief_justification": "Accurate and thorough, with clear explanations and good depth on the assumptions and philosophical concepts." }, { "judge_key": "deepseek_v4", "judge_name": "DeepSeek V4", "respondent_key": "gpt_oss_120b", "respondent_name": "GPT-OSS-120B", "weighted_score": 7.45, "brief_justification": "Accurate reasoning with good clarity, but lacks deeper exploration of assumptions and Bostrom's theories." }, { "judge_key": "deepseek_v4", "judge_name": "DeepSeek V4", "respondent_key": "gemini_25_flash", "respondent_name": "Gemini 2.5 Flash", "weighted_score": 8.85, "brief_justification": "The response is highly accurate, thorough, and clear, with deep analysis and practical insights into the Doomsday Argument and related philosophical principles." }, { "judge_key": "deepseek_v4", "judge_name": "DeepSeek V4", "respondent_key": "minimax_m25", "respondent_name": "MiniMax M2.5", "weighted_score": 8.85, "brief_justification": "Highly accurate, thorough, and insightful analysis of the Doomsday Argument and related philosophical concepts." }, { "judge_key": "mimo_v2_flash", "judge_name": "MiMo-V2-Flash", "respondent_key": "claude_sonnet_46", "respondent_name": "Claude Sonnet 4.6", "weighted_score": 9.25, "brief_justification": "Comprehensive, accurate, and insightful analysis with clear structure and practical implications." }, { "judge_key": "mimo_v2_flash", "judge_name": "MiMo-V2-Flash", "respondent_key": "gpt_oss_120b", "respondent_name": "GPT-OSS-120B", "weighted_score": 7.95, "brief_justification": "Accurate on core logic and assumptions, but could clarify Bostrom's arguments more precisely; well-structured and actionable." }, { "judge_key": "mimo_v2_flash", "judge_name": "MiMo-V2-Flash", "respondent_key": "gemini_25_flash", "respondent_name": "Gemini 2.5 Flash", "weighted_score": 8.65, "brief_justification": "Accurate and thorough explanation of the Doomsday Argument, its assumptions, and the SSA vs SIA debate, with clear structure and practical insights." }, { "judge_key": "mimo_v2_flash", "judge_name": "MiMo-V2-Flash", "respondent_key": "minimax_m25", "respondent_name": "MiniMax M2.5", "weighted_score": 9.05, "brief_justification": "Accurate, thorough, and well-structured explanation of the Doomsday Argument and SSA vs SIA debate, with clear practical implications." }, { "judge_key": "deepseek_v4", "judge_name": "DeepSeek V4", "respondent_key": "gpt_5_4", "respondent_name": "GPT-5.4", "weighted_score": 8.85, "brief_justification": "Comprehensive, accurate, and well-structured with insightful analysis." }, { "judge_key": "gemini_31_pro", "judge_name": "Gemini 3.1 Pro", "respondent_key": "deepseek_v4", "respondent_name": "DeepSeek V4", "weighted_score": 6.95, "brief_justification": "" }, { "judge_key": "gemini_31_pro", "judge_name": "Gemini 3.1 Pro", "respondent_key": "claude_opus_46", "respondent_name": "Claude Opus 4.6", "weighted_score": 9.85, "brief_justification": "The response is exceptionally accurate, comprehensive, and well-structured. It demonstrates a deep understanding of anthropic reasoning, correctly identifying the nuances of the Doomsday Argument, SSA, SIA, and their respective paradoxes." }, { "judge_key": "gemini_31_pro", "judge_name": "Gemini 3.1 Pro", "respondent_key": "gpt_5_4", "respondent_name": "GPT-5.4", "weighted_score": 9.65, "brief_justification": "The response is exceptionally clear, accurate, and comprehensive. It breaks down complex anthropic arguments into easily digestible parts while maintaining philosophical rigor and depth." }, { "judge_key": "gemini_31_pro", "judge_name": "Gemini 3.1 Pro", "respondent_key": "grok_420", "respondent_name": "Grok 4.20", "weighted_score": 10, "brief_justification": "The response is exceptionally accurate, comprehensive, and well-structured. It correctly identifies the Doomsday Argument, explains the underlying math and assumptions, and provides a deep, nuanced comparison of SSA and SIA, including connections to the Sleeping Beauty problem and the Presumptuous Philosopher." }, { "judge_key": "gemini_31_pro", "judge_name": "Gemini 3.1 Pro", "respondent_key": "claude_sonnet_46", "respondent_name": "Claude Sonnet 4.6", "weighted_score": 10, "brief_justification": "The response is exceptionally accurate, comprehensive, and well-structured. It provides deep philosophical insights into anthropic reasoning while remaining accessible and directly answering all parts of the prompt." }, { "judge_key": "gemini_31_pro", "judge_name": "Gemini 3.1 Pro", "respondent_key": "gemini_25_flash", "respondent_name": "Gemini 2.5 Flash", "weighted_score": 9.65, "brief_justification": "The response accurately and comprehensively addresses all parts of the prompt, providing clear explanations of complex philosophical concepts like SSA and SIA, and offering insightful analysis of their implications." }, { "judge_key": "gemini_31_pro", "judge_name": "Gemini 3.1 Pro", "respondent_key": "minimax_m25", "respondent_name": "MiniMax M2.5", "weighted_score": 7.05, "brief_justification": "" }, { "judge_key": "deepseek_v4", "judge_name": "DeepSeek V4", "respondent_key": "gemini_31_pro", "respondent_name": "Gemini 3.1 Pro", "weighted_score": 8.65, "brief_justification": "Highly accurate and thorough, with deep philosophical analysis and clear structure." }, { "judge_key": "deepseek_v4", "judge_name": "DeepSeek V4", "respondent_key": "claude_opus_46", "respondent_name": "Claude Opus 4.6", "weighted_score": 8.85, "brief_justification": "Comprehensive, logically rigorous, and well-structured analysis with insightful critique of assumptions and clear comparison of SSA vs SIA." }, { "judge_key": "claude_opus_46", "judge_name": "Claude Opus 4.6", "respondent_key": "gemini_31_pro", "respondent_name": "Gemini 3.1 Pro", "weighted_score": 7.3, "brief_justification": "The response is well-structured, clear, and largely accurate in its treatment of the Doomsday Argument and its assumptions. The mathematical illustration is correct and the assumptions are well-identified, including the reference class problem and finitude requirement. However, the response is clearly truncated — it cuts off right at the beginning of Part 3 (SSA vs SIA), which was a major component of the question. This significantly hurts completeness. The depth on parts 1 and 2 is good but not" }, { "judge_key": "claude_opus_46", "judge_name": "Claude Opus 4.6", "respondent_key": "deepseek_v4", "respondent_name": "DeepSeek V4", "weighted_score": 8, "brief_justification": "The response is well-structured and covers all three parts of the question accurately. The explanation of the Doomsday Argument, its assumptions, and the SSA vs SIA distinction is clear and mostly correct. Minor issues: the claim that SIA is 'often seen as more defensible' is debatable and somewhat editorializes a genuinely open philosophical debate. The presumptuous philosopher problem is actually a problem FOR SIA (not SSA as partially implied), though the response does mention it under SIA's " }, { "judge_key": "claude_opus_46", "judge_name": "Claude Opus 4.6", "respondent_key": "gpt_5_4", "respondent_name": "GPT-5.4", "weighted_score": 8.85, "brief_justification": "Exceptionally thorough and well-structured response that accurately presents the Doomsday Argument, its assumptions, and the SSA vs SIA debate. The mathematical formulation is correct, the enumeration of assumptions (A through G) is comprehensive and insightful, and the philosophical analysis of SSA vs SIA is balanced and nuanced. The response correctly identifies the key controversies, including the reference class problem and the Presumptuous Philosopher objection. Minor deductions: the respon" }, { "judge_key": "claude_opus_46", "judge_name": "Claude Opus 4.6", "respondent_key": "grok_420", "respondent_name": "Grok 4.20", "weighted_score": 9.2, "brief_justification": "Exceptionally well-structured and accurate treatment of the Doomsday Argument. The response correctly explains the mathematical reasoning, accurately characterizes SSA and SIA, identifies the key assumptions (reference class, prior on N, self-sampling), and provides nuanced discussion of the SSA vs SIA debate. Minor quibbles: attributing SIA favorability to Bostrom 'in some moods' is slightly imprecise, and the claim that SSA supports Sleeping Beauty 1/2 while SIA supports 1/3 is standard but co" }, { "judge_key": "claude_opus_46", "judge_name": "Claude Opus 4.6", "respondent_key": "claude_sonnet_46", "respondent_name": "Claude Sonnet 4.6", "weighted_score": 9.6, "brief_justification": "Exceptionally thorough and well-structured analysis. The formal Bayesian structure is correctly presented, the assumptions are enumerated with precision (including rarely-stated hidden assumptions), and the SSA vs SIA comparison is handled with genuine philosophical sophistication. The cancellation proof, the Presumptuous Philosopher problem, and the reference class indeterminacy are all correctly identified and explained. Minor quibble: the claim that SSA requires treating existence as 'probabi" }, { "judge_key": "claude_opus_46", "judge_name": "Claude Opus 4.6", "respondent_key": "mimo_v2_flash", "respondent_name": "MiMo-V2-Flash", "weighted_score": 0.5, "brief_justification": "The response is completely empty/blank. No content was provided to evaluate, so it fails on all criteria." }, { "judge_key": "claude_opus_46", "judge_name": "Claude Opus 4.6", "respondent_key": "gpt_oss_120b", "respondent_name": "GPT-OSS-120B", "weighted_score": 0.5, "brief_justification": "The response is completely empty/blank. No content was provided to evaluate, so it fails on all criteria." }, { "judge_key": "claude_opus_46", "judge_name": "Claude Opus 4.6", "respondent_key": "gemini_25_flash", "respondent_name": "Gemini 2.5 Flash", "weighted_score": 7.6, "brief_justification": "The response is well-structured and clearly written, covering all three parts of the question. However, there are some inaccuracies and missed nuances. The description of the 'presumptuous philosopher' problem is confused—it's actually a problem for SIA (not SSA), where SIA leads you to favor larger universes just by existing, which seems presumptuous. The response incorrectly lists it as a con of SSA and a pro of SIA. The discussion of SSA vs SIA, while readable, lacks some important technical " }, { "judge_key": "claude_opus_46", "judge_name": "Claude Opus 4.6", "respondent_key": "minimax_m25", "respondent_name": "MiniMax M2.5", "weighted_score": 7.75, "brief_justification": "The response is well-structured and clearly written, covering all three questions with reasonable depth. However, there are some correctness issues. The explanation of SSA is somewhat confused — SSA actually supports the Doomsday Argument by making you more likely to be in a small-population world (not large), and the description of how SSA works contains an error ('more slots to occupy in small-population scenarios' is stated but the preceding clause seems to say the opposite). The claim that '" }, { "judge_key": "gpt_5_4", "judge_name": "GPT-5.4", "respondent_key": "gemini_31_pro", "respondent_name": "Gemini 3.1 Pro", "weighted_score": 5.5, "brief_justification": "Accurately identifies the doomsday argument and some core assumptions, but the response is incomplete: the SSA vs SIA comparison is cut off, and some probabilistic claims are oversimplified or imprecise. Clear structure, but limited practical usefulness due to missing the key final section." }, { "judge_key": "gpt_5_4", "judge_name": "GPT-5.4", "respondent_key": "deepseek_v4", "respondent_name": "DeepSeek V4", "weighted_score": 7.75, "brief_justification": "Clear, structured, and mostly accurate overview of the Doomsday Argument, its assumptions, and SSA vs SIA. It correctly notes dependence on anthropic assumptions and reference-class issues, but it oversimplifies some points: the 50% claim is not enough to justify predicting total humans ≈ 200 billion without a prior/posterior framework, and 'uniform prior over N' is presented too strongly as if required. The SSA/SIA comparison is useful but somewhat muddled on thought experiments and leans too q" }, { "judge_key": "gpt_5_4", "judge_name": "GPT-5.4", "respondent_key": "claude_opus_46", "respondent_name": "Claude Opus 4.6", "weighted_score": 9, "brief_justification": "Accurate, nuanced, and well-structured. It correctly treats the doomsday argument as conditionally valid under contested anthropic premises, clearly states key assumptions, and gives a balanced SSA vs. SIA comparison with major objections and implications." }, { "judge_key": "gpt_5_4", "judge_name": "GPT-5.4", "respondent_key": "grok_420", "respondent_name": "Grok 4.20", "weighted_score": 7.35, "brief_justification": "Well-structured and covers the main anthropic issues, assumptions, and SSA/SIA contrast with decent nuance. However, it contains notable inaccuracies: it overstates validity, mischaracterizes some assumptions (e.g. 'uniform prior over birth rank'), gives the Sleeping Beauty verdicts backwards for SSA/SIA, and suggests a specific posterior like 200–300 billion without making the prior dependence sufficiently explicit." }, { "judge_key": "gpt_5_4", "judge_name": "GPT-5.4", "respondent_key": "claude_sonnet_46", "respondent_name": "Claude Sonnet 4.6", "weighted_score": 8.85, "brief_justification": "Accurate, nuanced, and well-structured. It correctly frames the doomsday argument as valid only conditional on controversial anthropic assumptions, covers SSA/SIA and key objections, and gives a balanced judgment. Minor simplifications remain around exact cancellation and some anthropic details, but overall it is highly strong." }, { "judge_key": "gpt_5_4", "judge_name": "GPT-5.4", "respondent_key": "gemini_25_flash", "respondent_name": "Gemini 2.5 Flash", "weighted_score": 7.95, "brief_justification": "Clear and well-structured, with good coverage of the doomsday argument, its assumptions, and SSA vs SIA. Main weaknesses are some oversimplifications and a few inaccuracies: the argument is not that total humans are 'most likely close to 200 billion' without a prior, SIA is mischaracterized regarding the presumptuous philosopher issue, and the treatment of validity conflates logical validity with contentious probabilistic assumptions." }, { "judge_key": "gpt_5_4", "judge_name": "GPT-5.4", "respondent_key": "minimax_m25", "respondent_name": "MiniMax M2.5", "weighted_score": 6.35, "brief_justification": "Clear and fairly complete, but it contains notable inaccuracies about SSA/SIA, overstates philosophical consensus in favor of SIA, and misdescribes how SSA supports the Doomsday Argument. Useful framing, but the key anthropic assumptions are not presented precisely." }, { "judge_key": "grok_420", "judge_name": "Grok 4.20", "respondent_key": "gemini_31_pro", "respondent_name": "Gemini 3.1 Pro", "weighted_score": 8.45, "brief_justification": "The response accurately explains the Doomsday Argument, its validity, key assumptions, and introduces SSA/SIA (though cut off). It is logically sound, clear, and provides good philosophical depth with useful analogies." }, { "judge_key": "grok_420", "judge_name": "Grok 4.20", "respondent_key": "deepseek_v4", "respondent_name": "DeepSeek V4", "weighted_score": 8.4, "brief_justification": "The response accurately explains the Doomsday Argument, its assumptions, and the SSA/SIA debate with clear structure and good coverage of key points, though it slightly overstates SIA's consensus preference." }, { "judge_key": "grok_420", "judge_name": "Grok 4.20", "respondent_key": "claude_opus_46", "respondent_name": "Claude Opus 4.6", "weighted_score": 8.85, "brief_justification": "The response accurately analyzes the Doomsday Argument's validity, lists key assumptions comprehensively, and provides a balanced, insightful comparison of SSA vs SIA with clear reasoning and a useful summary table." }, { "judge_key": "grok_420", "judge_name": "Grok 4.20", "respondent_key": "gpt_5_4", "respondent_name": "GPT-5.4", "weighted_score": 8.85, "brief_justification": "The response accurately explains the Doomsday Argument, its assumptions, and SSA vs SIA with strong logical structure, thorough coverage of controversies, and insightful philosophical analysis. Minor deduction for usefulness as it is more theoretical than directly actionable." }, { "judge_key": "grok_420", "judge_name": "Grok 4.20", "respondent_key": "claude_sonnet_46", "respondent_name": "Claude Sonnet 4.6", "weighted_score": 8.85, "brief_justification": "The response is factually accurate in its mathematical and philosophical presentation of the Doomsday Argument, SSA, and SIA. It thoroughly covers all three questions with structured analysis, clear explanations, and insightful discussion of assumptions and reference class issues, providing high practical value for understanding the debate." }, { "judge_key": "grok_420", "judge_name": "Grok 4.20", "respondent_key": "mimo_v2_flash", "respondent_name": "MiMo-V2-Flash", "weighted_score": 5.05, "brief_justification": "The response is missing; no actual AI model output was provided to evaluate, making all criteria unscoreable beyond noting the absence." }, { "judge_key": "grok_420", "judge_name": "Grok 4.20", "respondent_key": "gpt_oss_120b", "respondent_name": "GPT-OSS-120B", "weighted_score": 7.4, "brief_justification": "The response accurately summarizes the Doomsday argument, identifies key assumptions like random birth rank and no observer-selection bias, and clearly contrasts SSA (favoring ~200B total) with SIA (favoring much larger populations). It notes philosophical debates without strong bias. Minor deduction for not fully exploring counterarguments like the lack of a well-defined reference class or indexical issues." }, { "judge_key": "grok_420", "judge_name": "Grok 4.20", "respondent_key": "gemini_25_flash", "respondent_name": "Gemini 2.5 Flash", "weighted_score": 8.65, "brief_justification": "Highly accurate overview of the Doomsday Argument, its assumptions, and the SSA vs SIA debate. Thorough explanations with clear structure and balanced pros/cons. Minor deduction for slightly oversimplifying the median inference and personal take on reasonableness." }, { "judge_key": "grok_420", "judge_name": "Grok 4.20", "respondent_key": "minimax_m25", "respondent_name": "MiniMax M2.5", "weighted_score": 7.8, "brief_justification": "The response accurately explains the Doomsday Argument, its assumptions, and SSA vs SIA debate with clear structure and good depth, though it slightly misstates SSA's formulation and overstates consensus favoring SIA among philosophers." }, { "judge_key": "claude_sonnet_46", "judge_name": "Claude Sonnet 4.6", "respondent_key": "gemini_31_pro", "respondent_name": "Gemini 3.1 Pro", "weighted_score": 7.05, "brief_justification": "The response is accurate and well-structured for parts 1 and 2, but critically incomplete — it cuts off mid-sentence before explaining SSA vs SIA, which is the most philosophically rich part of the question. The lottery analogy is helpful, and the assumptions are well-enumerated. However, the failure to address the SSA/SIA comparison at all (not even a partial answer) significantly reduces completeness and usefulness scores." }, { "judge_key": "claude_sonnet_46", "judge_name": "Claude Sonnet 4.6", "respondent_key": "deepseek_v4", "respondent_name": "DeepSeek V4", "weighted_score": 8, "brief_justification": "The response accurately explains the Doomsday Argument and correctly identifies SSA vs SIA. It covers the key assumptions well and provides a balanced comparison. Minor issues: the 'presumptuous philosopher' problem is attributed to both SSA and SIA inconsistently (it's primarily an SIA critique), and the depth on why SIA is more defensible could be stronger with more philosophical nuance. Overall solid and well-structured." }, { "judge_key": "claude_sonnet_46", "judge_name": "Claude Sonnet 4.6", "respondent_key": "claude_opus_46", "respondent_name": "Claude Opus 4.6", "weighted_score": 8.85, "brief_justification": "Excellent response that accurately reconstructs the Doomsday Argument's formal structure, correctly identifies SSA vs SIA, and provides nuanced analysis of both positions. The assumptions section is thorough and precise. The assessment of SIA vs SSA is well-reasoned with appropriate acknowledgment of problems on both sides. Minor quibble: the summary table has a small error (SSA 'avoids' Presumptuous Philosopher is debatable and context-dependent). The deeper philosophical point about self-locat" }, { "judge_key": "claude_sonnet_46", "judge_name": "Claude Sonnet 4.6", "respondent_key": "gpt_5_4", "respondent_name": "GPT-5.4", "weighted_score": 9.2, "brief_justification": "Exceptionally thorough and accurate treatment of the Doomsday Argument, SSA vs SIA. Correctly identifies the conditional validity of the arithmetic, enumerates all key assumptions (reference class, typicality, priors, demographic extrapolation), and gives a nuanced philosophical assessment of SSA vs SIA including the Presumptuous Philosopher objection. Well-structured with both summary and detailed sections. Minor: the response ends abruptly mid-sentence, which slightly detracts from completenes" }, { "judge_key": "claude_sonnet_46", "judge_name": "Claude Sonnet 4.6", "respondent_key": "grok_420", "respondent_name": "Grok 4.20", "weighted_score": 9.2, "brief_justification": "Exceptionally thorough and accurate response covering all three questions with appropriate nuance. Correctly identifies the Doomsday Argument's mathematical validity conditional on SSA, clearly enumerates the required assumptions including the reference class problem, and provides a balanced SSA vs SIA comparison with the 'presumptuous philosopher' objection. Minor quibble: attributes SSA to Bostrom somewhat loosely (Carter/Leslie originated the DA; Bostrom formalized SSA/SIA terminology). The p" }, { "judge_key": "claude_sonnet_46", "judge_name": "Claude Sonnet 4.6", "respondent_key": "gemini_25_flash", "respondent_name": "Gemini 2.5 Flash", "weighted_score": 8.4, "brief_justification": "The response accurately explains the Doomsday Argument, its assumptions, and the SSA vs SIA distinction with good clarity and structure. The coverage is thorough, addressing all three questions with appropriate nuance. Minor issues: the SIA description could be more precise (it's about prior probability adjustment, not just 'evidence-creating'), and the final verdict on SSA vs SIA somewhat hedges without fully engaging with the strongest arguments for SIA (like avoiding the reference class probl" }, { "judge_key": "claude_sonnet_46", "judge_name": "Claude Sonnet 4.6", "respondent_key": "minimax_m25", "respondent_name": "MiniMax M2.5", "weighted_score": 7.75, "brief_justification": "The response is well-structured and covers the three questions clearly. However, there are some inaccuracies: the claim that 'most philosophers favor SIA over SSA' is debatable and somewhat misleading — Bostrom himself defends SSA, and the debate is genuinely contested. The description of SSA is slightly garbled ('more likely to be in a large reference class unless the total number is small' is confusing). The response correctly identifies key assumptions and provides good practical context. The" }, { "judge_key": "mimo_v2_flash", "judge_name": "MiMo-V2-Flash", "respondent_key": "gemini_31_pro", "respondent_name": "Gemini 3.1 Pro", "weighted_score": 8.45, "brief_justification": "Accurate and thorough explanation of the Doomsday Argument, its assumptions, and the SSA/SIA debate, with clear structure and practical insights." }, { "judge_key": "mimo_v2_flash", "judge_name": "MiMo-V2-Flash", "respondent_key": "deepseek_v4", "respondent_name": "DeepSeek V4", "weighted_score": 8.4, "brief_justification": "Accurate and thorough explanation of the Doomsday Argument, assumptions, and SSA vs SIA debate, with clear structure and practical insights." }, { "judge_key": "mimo_v2_flash", "judge_name": "MiMo-V2-Flash", "respondent_key": "claude_opus_46", "respondent_name": "Claude Opus 4.6", "weighted_score": 9.4, "brief_justification": "Comprehensive, accurate, and insightful analysis of the Doomsday Argument, SSA vs. SIA, with clear structure and practical philosophical value." }, { "judge_key": "mimo_v2_flash", "judge_name": "MiMo-V2-Flash", "respondent_key": "gpt_5_4", "respondent_name": "GPT-5.4", "weighted_score": 9.05, "brief_justification": "Comprehensive and accurate analysis of the Doomsday Argument, SSA vs SIA, with clear structure and practical insights." }, { "judge_key": "mimo_v2_flash", "judge_name": "MiMo-V2-Flash", "respondent_key": "grok_420", "respondent_name": "Grok 4.20", "weighted_score": 9, "brief_justification": "Accurate, thorough, and well-structured explanation of the Doomsday Argument, its assumptions, and the SSA vs SIA debate, with practical insights." }, { "judge_key": "gpt_oss_120b", "judge_name": "GPT-OSS-120B", "respondent_key": "gemini_31_pro", "respondent_name": "Gemini 3.1 Pro", "weighted_score": 5.7, "brief_justification": "The answer correctly outlines the Doomsday Argument and its assumptions, but it is incomplete (trails off before fully addressing SSA vs SIA) and lacks full depth on the philosophical debate, reducing overall completeness and usefulness." }, { "judge_key": "gpt_oss_120b", "judge_name": "GPT-OSS-120B", "respondent_key": "deepseek_v4", "respondent_name": "DeepSeek V4", "weighted_score": 8, "brief_justification": "Accurately outlines the Doomsday Argument, its assumptions, and SSA vs SIA, with clear structure; could delve deeper into priors and reference-class issues for higher depth." }, { "judge_key": "gpt_oss_120b", "judge_name": "GPT-OSS-120B", "respondent_key": "claude_opus_46", "respondent_name": "Claude Opus 4.6", "weighted_score": 8.8, "brief_justification": "" }, { "judge_key": "gpt_oss_120b", "judge_name": "GPT-OSS-120B", "respondent_key": "gpt_5_4", "respondent_name": "GPT-5.4", "weighted_score": 8.45, "brief_justification": "Accurate explanation of the Doomsday argument, its assumptions, and SSA vs SIA; covers all parts of the question with clear structure and insightful discussion, though could include a bit more technical detail." }, { "judge_key": "gpt_oss_120b", "judge_name": "GPT-OSS-120B", "respondent_key": "grok_420", "respondent_name": "Grok 4.20", "weighted_score": 7.65, "brief_justification": "Accurately outlines the Doomsday Argument, its assumptions, and SSA vs SIA, covering key points with clear structure and useful references, though depth could be deeper on technical nuances." }, { "judge_key": "gpt_oss_120b", "judge_name": "GPT-OSS-120B", "respondent_key": "gemini_25_flash", "respondent_name": "Gemini 2.5 Flash", "weighted_score": 8.45, "brief_justification": "Accurate explanation of the Doomsday Argument, its assumptions, and SSA vs SIA; covers all parts thoroughly, well-structured, offers insightful nuance, and is practically useful for understanding the debate." }, { "judge_key": "gpt_oss_120b", "judge_name": "GPT-OSS-120B", "respondent_key": "minimax_m25", "respondent_name": "MiniMax M2.5", "weighted_score": 8.2, "brief_justification": "Accurately explains the Doomsday Argument, its assumptions, and SSA vs SIA, covering all parts with clear structure and insightful context, though some claims about consensus could be more nuanced." }, { "judge_key": "gemini_25_flash", "judge_name": "Gemini 2.5 Flash", "respondent_key": "gemini_31_pro", "respondent_name": "Gemini 3.1 Pro", "weighted_score": 8.45, "brief_justification": "The response accurately identifies the Doomsday Argument and its core principles. It clearly explains the validity, assumptions, and introduces the SSA vs. SIA debate, though it cuts off before fully explaining the latter." }, { "judge_key": "gemini_25_flash", "judge_name": "Gemini 2.5 Flash", "respondent_key": "deepseek_v4", "respondent_name": "DeepSeek V4", "weighted_score": 9, "brief_justification": "The response accurately and thoroughly addresses all parts of the question, providing clear explanations of complex concepts like the Doomsday Argument, SSA, and SIA. It also effectively highlights the assumptions and controversies involved." }, { "judge_key": "gemini_25_flash", "judge_name": "Gemini 2.5 Flash", "respondent_key": "claude_opus_46", "respondent_name": "Claude Opus 4.6", "weighted_score": 8.85, "brief_justification": "The response provides a comprehensive and nuanced analysis of the Doomsday Argument, addressing all parts of the question with excellent clarity and depth. It correctly identifies the logical validity versus soundness, thoroughly lists assumptions, and critically compares SSA and SIA, offering a well-reasoned assessment." }, { "judge_key": "gemini_25_flash", "judge_name": "Gemini 2.5 Flash", "respondent_key": "gpt_5_4", "respondent_name": "GPT-5.4", "weighted_score": 8.85, "brief_justification": "The response provides a comprehensive and well-structured analysis of the Doomsday Argument, SSA, and SIA. It clearly explains the reasoning, assumptions, and controversies surrounding each concept. The depth of explanation for both the validity of the reasoning and the assumptions is excellent, breaking down complex philosophical ideas into understandable components. The comparison and assessment of SSA vs. SIA are balanced and insightful, acknowledging the strengths and weaknesses of each with" }, { "judge_key": "gemini_25_flash", "judge_name": "Gemini 2.5 Flash", "respondent_key": "grok_420", "respondent_name": "Grok 4.20", "weighted_score": 9.65, "brief_justification": "The response is exceptionally clear, accurate, and comprehensive. It thoroughly addresses all parts of the question with excellent depth, explaining complex concepts like SSA and SIA in an understandable way. The practical takeaway is also very useful." }, { "judge_key": "gemini_25_flash", "judge_name": "Gemini 2.5 Flash", "respondent_key": "claude_sonnet_46", "respondent_name": "Claude Sonnet 4.6", "weighted_score": 8.85, "brief_justification": "The response provides a comprehensive and deeply analytical breakdown of the Doomsday Argument, addressing all parts of the question with excellent clarity and insight. It correctly identifies the formal validity while meticulously dissecting the problematic assumptions. The comparison between SSA and SIA is thorough, well-reasoned, and balanced, concluding with a nuanced and insightful assessment of the argument's overall implications." }, { "judge_key": "gemini_25_flash", "judge_name": "Gemini 2.5 Flash", "respondent_key": "mimo_v2_flash", "respondent_name": "MiMo-V2-Flash", "weighted_score": 7.45, "brief_justification": "The response provides a good overview of the Doomsday Argument and its assumptions, but could delve deeper into the philosophical implications and the nuances of the two assumptions." }, { "judge_key": "gemini_25_flash", "judge_name": "Gemini 2.5 Flash", "respondent_key": "gpt_oss_120b", "respondent_name": "GPT-OSS-120B", "weighted_score": 7.45, "brief_justification": "The response accurately explains the Doomsday Argument and its assumptions. It provides a good overview of the Self-Sampling and Self-Indication Assumptions, though the 'more reasonable' part could be more deeply explored with philosophical arguments rather than just stating common preference." }, { "judge_key": "gemini_25_flash", "judge_name": "Gemini 2.5 Flash", "respondent_key": "minimax_m25", "respondent_name": "MiniMax M2.5", "weighted_score": 8.85, "brief_justification": "The response accurately and thoroughly addresses all parts of the question, providing clear definitions and insightful analysis of complex philosophical concepts. It correctly identifies the assumptions and nuances of the Doomsday Argument and the SSA/SIA debate." }, { "judge_key": "minimax_m25", "judge_name": "MiniMax M2.5", "respondent_key": "gemini_31_pro", "respondent_name": "Gemini 3.1 Pro", "weighted_score": 6.9, "brief_justification": "Accurately explains Carter-Leslie Doomsday Argument with excellent clarity and structure. Covers validity and assumptions well. However, the response is cut off mid-sentence and never completes the SSA vs SIA comparison, leaving the final question unanswered." }, { "judge_key": "minimax_m25", "judge_name": "MiniMax M2.5", "respondent_key": "deepseek_v4", "respondent_name": "DeepSeek V4", "weighted_score": 8.2, "brief_justification": "Accurate explanation of Doomsday Argument with clear structure. Covers all three questions thoroughly, explains SSA and SIA with their pros/cons, and addresses nuances like reference class problems and the presumptuous philosopher thought experiment. Well-organized and informative." }, { "judge_key": "minimax_m25", "judge_name": "MiniMax M2.5", "respondent_key": "claude_opus_46", "respondent_name": "Claude Opus 4.6", "weighted_score": 9, "brief_justification": "Comprehensive and accurate analysis covering all three questions with proper structure. Explains the Bayesian logic correctly, lists all key assumptions with explanations, and provides a nuanced comparison of SSA vs SIA with clear reasoning for the assessment. Includes a useful summary table and discusses deeper philosophical issues." }, { "judge_key": "minimax_m25", "judge_name": "MiniMax M2.5", "respondent_key": "gpt_5_4", "respondent_name": "GPT-5.4", "weighted_score": 8.85, "brief_justification": "Accurately identifies the Doomsday Argument and correctly distinguishes mathematical validity from real-world controversy. Thoroughly addresses all three questions with multiple detailed assumptions (reference class, typicality, priors, etc.). Well-structured with clear headings and explanations. Demonstrates philosophical depth by discussing the presumptuous philosopher problem, reference class issues, and providing nuanced SSA vs SIA comparison. Provides useful actionable conclusions: neither " }, { "judge_key": "minimax_m25", "judge_name": "MiniMax M2.5", "respondent_key": "grok_420", "respondent_name": "Grok 4.20", "weighted_score": 7.8, "brief_justification": "Accurately explains Doomsday Argument math and SSA/SIA distinction. Covers all three sub-questions with good depth. Well-structured with clear headings and intuition pump. Provides practical takeaway and reading recommendations. Minor markdown formatting violation." }, { "judge_key": "minimax_m25", "judge_name": "MiniMax M2.5", "respondent_key": "claude_sonnet_46", "respondent_name": "Claude Sonnet 4.6", "weighted_score": 8.2, "brief_justification": "Thorough and accurate analysis covering all three questions with clear structure. Correctly explains formal validity vs. assumption dependence, lists key assumptions (A1-A8), and provides balanced SSA vs SIA comparison with substantive arguments. Well-organized with helpful tables. Slight deduction for not fully exploring prior distribution technicalities." }, { "judge_key": "minimax_m25", "judge_name": "MiniMax M2.5", "respondent_key": "gemini_25_flash", "respondent_name": "Gemini 2.5 Flash", "weighted_score": 8, "brief_justification": "Accurately explains the Doomsday Argument's logic, covers all three questions thoroughly, presents SSA vs SIA with balanced pros/cons, and provides thoughtful philosophical analysis. Clear structure and well-organized content." } ], "meta": { "source": "The Multivac (app.themultivac.com)", "methodology": "10x10 blind peer matrix evaluation", "criteria": "correctness, completeness, clarity, depth, usefulness", "self_judgments": "excluded from rankings", "license": "Open data — cite as: The Multivac (2026)" } }