AI 中文总结
本文注探讨柯尔莫哥洛夫《概率论基础》的非数学部分，聚焦其在概率数学理论与经验世界间设两座“桥梁”及可观察概率为零的预先指定事件这两个争议特征。
AI 中文摘要
柯尔莫哥洛夫的《概率论基础》（Grundbegriffe der Wahrscheinlichkeitsrechnung）引入了测度论标准概率形式化体系，但仅用两页篇幅阐述概率数学理论与经验世界的关系。本文注探讨这一简短的非数学部分，聚焦于笔者认为其最具争议的两个特征：一是在数学理论与经验世界之间设置了两座“桥梁”，而非标准的一座；二是在一系列试验中观察到概率为零的预先指定事件的可能性。
英文摘要
Kolmogorov's "Grundbegriffe der Wahrscheinlichkeitsrechnung" introduced the standard measure-theoretic formalization of probability but included only a two-page section about the relation of the mathematical theory of probability to the world of experience. This note discusses this brief non-mathematical section concentrating on what I regard as its two most controversial features: having two bridges between the mathematical theory and the world of experience instead of the standard one, and the possibility of observing a prespecified event of probability zero in a sequence of trials.
Comments12 pages
