Vacuously: meaning, definitions and examples
๐ค
vacuously
[ หvรฆk.ju.ษs.li ]
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
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:
๐ต๐น vazias
๐ฎ๐ณ เคฐเคฟเคเฅเคค เคฐเฅเคช เคธเฅ
๐ฉ๐ช vakuum
๐ฎ๐ฉ kosong
๐บ๐ฆ ะฒะฐะบัะฐะปัะฝะพ
๐ต๐ฑ pustko
๐ฏ๐ต ็ฉบ่ใซ
๐ซ๐ท vacuement
๐ช๐ธ vacรญamente
๐น๐ท boล yere
๐ฐ๐ท ๊ณตํํ๊ฒ
๐ธ๐ฆ ูุงุฑุบ
๐จ๐ฟ prรกzdnฤ
๐ธ๐ฐ prรกzdne
๐จ๐ณ ็ฉบๆดๅฐ
๐ธ๐ฎ prazno
๐ฎ๐ธ tรณmt
๐ฐ๐ฟ ะฑะพั
๐ฌ๐ช แชแแ แแแแ
๐ฆ๐ฟ boลuna
๐ฒ๐ฝ 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.
- ...
- 39691 reappraising
- 39692 raffled
- 39693 informatively
- 39694 vacuously
- 39695 glamorize
- 39696 geode
- 39697 hoodwinking
- ...