vacuously

Adverb

Meaning

in a vacuous manner

Synonyms

Antonyms

Examples

In this case, the statement "all cell phones in the room are turned on" would also be vacuously true, as would the conjunction of the two: "all cell phones in the room are turned on and turned off". Source: Internet

Note that the empty set is a subset of every set (the statement that all elements of the empty set are also members of any set A is vacuously true ). Source: Internet

Outside of mathematics, statements which can be characterized informally as vacuously true can be misleading. Source: Internet

Proof: If there is no possible move, then the lemma is vacuously true (and the first player loses the normal play game by definition). Source: Internet

Close letter words and terms