vacuously

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).

• 🇵🇹Advérbio usado em lógica, matemática e raciocínio formal, significando «sem conteúdo» ou «de forma vazia». Descreve uma afirmação que é verdadeira por padrão, porque a condição da qual depende não pode ser satisfeita (por exemplo, «todos os unicórnios são rosa» é verdadeiro de forma vacuosa).

1. In a mindless or empty way C2 formal

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

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

   🇵🇹Sem sentido

   Sinônimos: blanklyinanelymindlesslystupidlythoughtlesslyunintelligently

   Antônimos: intelligentlymeaningfullypurposefullythoughtfully

2. In logic: true by default C2 formal

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

   • 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.

   🇵🇹Vacuamente verdadeiro

   Sinônimos: trivially

• more vacuously comparative form
• most vacuously superlative form