On this page you'll find 4 example sentences with Vacuously. Discover the meaning, how to use the word correctly in a sentence.
Vacuously meaning
- In a vacuous manner, lacking thought.
- Because of being a vacuous truth.
Using Vacuously
- The main meaning on this page is: In a vacuous manner, lacking thought. | Because of being a vacuous truth.
- In the example corpus, vacuously often appears in combinations such as: vacuously true, is vacuously.
Context around Vacuously
- Average sentence length in these examples: 26.8 words
- Position in the sentence: 0 start, 3 middle, 1 end
- Sentence types: 4 statements, 0 questions, 0 exclamations
Corpus analysis for Vacuously
- In this selection, "vacuously" usually appears in the middle of the sentence. The average example has 26.8 words, and this corpus slice is mostly made up of statements.
- Around the word, true stand out and add context to how "vacuously" is used.
- Recognizable usage signals include a is vacuously true and also be vacuously true as. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "vacuously" sits close to words such as aaai, aani and aarne, which helps place it inside the broader word index.
Example types with vacuously
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
Outside of mathematics, statements which can be characterized informally as vacuously true can be misleading. (15 words)
Proof: If there is no possible move, then the lemma is vacuously true (and the first player loses the normal play game by definition). (24 words)
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 ). (30 words)
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". (38 words)
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 ). (30 words)
Proof: If there is no possible move, then the lemma is vacuously true (and the first player loses the normal play game by definition). (24 words)
Example sentences (4)
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".
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 ).
Outside of mathematics, statements which can be characterized informally as vacuously true can be misleading.
Proof: If there is no possible move, then the lemma is vacuously true (and the first player loses the normal play game by definition).
Common combinations with vacuously
These word pairs occur most frequently in English texts:
- vacuously true 4×
- is vacuously 2×