Definition, Meaning & Synonyms
open-sentence
Noun
/ˈoʊ.pən ˈsɛntəns/
Definition
A statement that contains a variable and can become true or false depending on the value assigned to that variable.
Examples
- For example, the open sentence ‘x + 2 = 5’ becomes a true statement when x equals 3.
- The statement ‘y is greater than 10’ is an open sentence as it requires a specific value for y to determine its truth.
Meaning
An open sentence allows for the possibility of evaluating its truth value, influencing fields like mathematics and logic.
Synonyms
- Variable sentence
- Propositional function
