n.确定性，坚持性

The principle of determinacy asserts that for every game, one of the players has a winning strategy.
确定性原理断言，对于任何游戏，总有一方玩家拥有获胜策略。
In set theory, the axiom of determinacy is a statement about two-player games of perfect information.
在集合论中，确定性公理是一个关于完美信息的两人博弈的陈述。
Under the assumption of determinacy, certain paradoxical sets cannot exist in the universe of sets.
在确定性的假设下，某些悖论式的集合不能在集合宇宙中存在。
The study of determinacy often involves deep connections between logic, topology, and measure theory.
确定性研究常常涉及逻辑、拓扑和测度论之间的深刻联系。
The axiom of determinacy is incompatible with the axiom of choice, a fundamental principle in set theory.
确定性公理与集合论中的基本原理——选择公理不相容。
In game theory, the concept of determinacy helps classify games into determined and undetermined categories.
在博弈论中，确定性概念帮助将游戏分类为确定性和非确定性类别。
Determinacy in mathematics is a property that determines the outcome of a game before it is played.
数学中的确定性是一个属性，它在游戏开始之前就决定了其结果。
The study of partial determinacy, where not all games are determined, is an active area of research in descriptive set theory.
部分确定性，即并非所有游戏都被确定的研究，是描述性集合论中的一个活跃研究领域。
The axiom of determinacy leads to the conclusion that certain large cardinals, like measurable cardinals, must exist in certain models of set theory.
确定性公理导致结论，某些大的基数（如可测基数）在集合论的特定模型中必须存在。
Despite its intuitive appeal, the full axiom of determinacy is not generally accepted as part of standard set theory due to its implications contradicting the axiom of choice.
尽管其具有直观的吸引力，但由于其含义与选择公理相矛盾，完全确定性公理并未被普遍接受为标准集合论的一部分。