英语词汇“Logical consistency”是什么意思，翻译、用法及简单造句-英汉双解词典-英汉网

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单词	Logical consistency
释义	Logical consistency 原声例句就业、利息和货币通论（上） With most of his successors common sense cannot help breaking in-with injury to their logical consistency. 对于他的大多数继任者来说，常识不可避免地会破坏他们的逻辑一致性。中文百科一致性 (逻辑) Consistency （重定向自Logical consistency）逻辑上，一致性（consistency）、兼容性、或自洽性，是指一个形式系统中不蕴涵矛盾。所谓的矛盾有二种解读方式：语义上：当一个命题S是由许多命题组成时，如果所有命题可同时为真，则S是一致的，否则S是不一致的。语法上：公理系统不能推导出两个相反的结果。亦即不存在命题P，使得P→Q和P→~Q同时成立。英语百科 Consistency 一致性 (逻辑) （重定向自Logical consistency） In classical deductive logic, a consistent theory is one that does not contain a contradiction. The lack of contradiction can be defined in either semantic or syntactic terms. The semantic definition states that a theory is consistent if and only if it has a model, i.e., there exists an interpretation under which all formulas in the theory are true. This is the sense used in traditional Aristotelian logic, although in contemporary mathematical logic the term satisfiable is used instead. A theory $T$ is consistent if and only if there is no formula $\phi$ such that both $\phi$ and its negation $\lnot\phi$ are elements of the set $T$ . Let $A$ be set of closed sentences (informally "axioms") and $\langle A\rangle$ the set of closed sentences provable from $A$ under a meta-theoretical deductive system such as informal mathematics. The set of axioms $A$ is consistent when $\langle A \rangle$ is.
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更新时间：2025/6/23 12:52:01