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The Timurid Observatory at Samarkand and the Institutionalization of Astronomical Uncertainty
帖木儿王朝撒马尔罕天文台与天文不确定性的制度化
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Ulug Beg’s fifteenth-century observatory did not seek celestial certainty but systematically cataloged observational variance across instruments, seasons, and observer teams.乌鲁格·贝格15世纪的天文台并不追求天体运行的绝对确定性，而是系统记录不同仪器、季节和观测团队之间的观测差异。
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Its star charts included marginalia noting discrepancies between brass sextants, water clocks, and meridian circles—treating error as data, not failure.其星图边注标出黄铜六分仪、水钟与子午圈之间的数据偏差——将误差视为数据，而非失败。
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Astronomers were required to submit parallel observations using three independent methodologies before any calculation entered the Zij-i Sultani tables.天文学家须用三种独立方法平行观测，所得数据方能录入《苏丹星表》。
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This epistemic humility emerged from practical necessity: accurate prayer times and tax-collection calendars demanded reliability thresholds, not metaphysical truth.这种认识论上的谦逊源于实际需求：准确的礼拜时刻与征税历法要求的是可靠性阈值，而非形而上学真理。
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The observatory’s administrative records reveal funding allocations tied explicitly to reduction of standard deviation in lunar position predictions.天文台行政档案显示，经费拨款明确与月球位置预测的标准差降低幅度挂钩。
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When Ottoman scholars later adopted its methods, they adapted its uncertainty protocols to calibrate qibla direction across imperial provinces with differing magnetic declinations.后来奥斯曼学者采纳其方法时，调整了其不确定性规程，以校准帝国各省因磁偏角不同而各异的朝向（克尔白方向）。
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Its legacy endured in Greenwich’s eighteenth-century transit circle procedures, where repeated measurements defined ‘acceptable drift’ rather than eliminating variation.其遗产延续至18世纪格林尼治的子午环观测规程：重复测量定义‘可接受漂移’，而非消除变异。
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Modern satellite navigation systems inherit this logic by broadcasting confidence intervals alongside positional coordinates for civil aviation use.现代卫星导航系统继承这一逻辑，为民用航空提供位置坐标的同时播发置信区间。
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The observatory thus pioneered a governance model where institutional credibility derived from transparent error management, not infallibility claims.该天文台由此开创了一种治理模式：机构公信力源于对误差的透明管理，而非宣称永不犯错。
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Its manuscripts circulated widely not as finished knowledge but as methodological blueprints for localized calibration.其手稿广为流传，并非作为定论知识，而是作为本地化校准的方法论蓝图。
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This reframing of precision as process—not product—reshaped how early modern states managed technical expertise across linguistic and cultural boundaries.这种将精度重新定义为过程而非结果的思路，重塑了近代早期国家跨越语言与文化边界管理技术专长的方式。
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Its quiet revolution was transforming doubt from philosophical problem into administrative metric.它悄然掀起一场革命：将怀疑从哲学难题转化为行政度量指标。