Vacuously: meaning, definitions and examples

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vacuously

 

[ หˆvรฆk.ju.ษ™s.li ]

Adverb
Context #1 | Adverb

logical reasoning

Vacuously refers to a statement or implication that is true because it does not contain any relevant case or example that challenges its truth. In logic, an implication is considered vacuously true if its antecedent is false, regardless of the truth of the consequent.

Synonyms

nullly, voidly

Examples of usage

  • The statement is vacuously true if there are no items to consider.
  • She argued that the conclusion was vacuously valid.
  • In this scenario, the theorem holds vacuously.
  • He didn't provide any counterexamples, making his claim vacuously true.

Translations

Translations of the word "vacuously" in other languages:

๐Ÿ‡ต๐Ÿ‡น vazias

๐Ÿ‡ฎ๐Ÿ‡ณ เคฐเคฟเค•เฅเคค เคฐเฅ‚เคช เคธเฅ‡

๐Ÿ‡ฉ๐Ÿ‡ช vakuum

๐Ÿ‡ฎ๐Ÿ‡ฉ kosong

๐Ÿ‡บ๐Ÿ‡ฆ ะฒะฐะบัƒะฐะปัŒะฝะพ

๐Ÿ‡ต๐Ÿ‡ฑ pustko

๐Ÿ‡ฏ๐Ÿ‡ต ็ฉบ่™šใซ

๐Ÿ‡ซ๐Ÿ‡ท vacuement

๐Ÿ‡ช๐Ÿ‡ธ vacรญamente

๐Ÿ‡น๐Ÿ‡ท boลŸ yere

๐Ÿ‡ฐ๐Ÿ‡ท ๊ณตํ—ˆํ•˜๊ฒŒ

๐Ÿ‡ธ๐Ÿ‡ฆ ูุงุฑุบ

๐Ÿ‡จ๐Ÿ‡ฟ prรกzdnฤ›

๐Ÿ‡ธ๐Ÿ‡ฐ prรกzdne

๐Ÿ‡จ๐Ÿ‡ณ ็ฉบๆดžๅœฐ

๐Ÿ‡ธ๐Ÿ‡ฎ prazno

๐Ÿ‡ฎ๐Ÿ‡ธ tรณmt

๐Ÿ‡ฐ๐Ÿ‡ฟ ะฑะพั

๐Ÿ‡ฌ๐Ÿ‡ช แƒชแƒแƒ แƒ˜แƒšแƒแƒ“

๐Ÿ‡ฆ๐Ÿ‡ฟ boลŸuna

๐Ÿ‡ฒ๐Ÿ‡ฝ vacรญamente

Etymology

The term 'vacuously' is derived from the Latin word 'vacuus', meaning 'empty' or 'void'. It first entered the English language in the late 19th century, correlating with the rise of formal logic and mathematical reasoning. In these fields, it became essential to describe statements that are technically true but lack substantive content due to the absence of cases that would scrutinize their validity. This term highlights the nuanced interpretation of truth in logical constructs, often used in philosophical contexts to discuss the nature of implications and conditions in arguments.

Word Frequency Rank

Ranking #39,694, this word is encountered relatively rarely in everyday English. It might appear in literary works or specialized texts but isn't essential for general communication.