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vacuously

/ˈvæk.ju.əs.li/

翻译: 用于逻辑、数学和形式推理中的副词,表示“无内容地”或“空洞地”。描述因所依赖的条件无法满足而自动为真的命题(例如“所有独角兽都是粉色的”在空真意义下为真)。

1 个条目

adverb

/ˈvæk.ju.əs.li/C2formalscientific
  • zh用于逻辑、数学和形式推理中的副词,表示“无内容地”或“空洞地”。描述因所依赖的条件无法满足而自动为真的命题(例如“所有独角兽都是粉色的”在空真意义下为真)。

An adverb used in logic, mathematics, and formal reasoning meaning "in a vacuous manner" or "without content." It describes a statement that is true by default because the condition it depends on cannot be satisfied (e.g., "all unicorns are pink" is vacuously true).

  1. In a mindless or empty wayC2formal

    In a manner that shows a lack of thought, intelligence, or purpose.

    zh空虚地

    • He stared vacuously at the television screen.
    • She smiled vacuously, not understanding the joke.
    • The audience listened vacuously to the long lecture.

    同义词blanklyinanelymindlesslystupidlythoughtlesslyunintelligently

    反义词intelligentlymeaningfullypurposefullythoughtfully

  2. In logic: true by defaultC2formal

    In logic, a statement is said to be vacuously true if its antecedent is false, making the implication true regardless of the consequent.

    zh空真

    • The statement 'All unicorns are pink' is vacuously true because there are no unicorns.
    • In mathematics, a property holds vacuously for an empty set.
    • The theorem is vacuously satisfied when the condition cannot be met.

    同义词trivially

词形
  • more vacuously comparative form
  • most vacuously superlative form