Sentential Function (Noun)
Meaning
Formal expression containing variables; becomes a sentence when variables are replaced by constants.
Classification
Nouns denoting communicative processes and contents.
Examples
- In the predicate logic system, a sentential function was a crucial component, denoting an expression containing variables that needed to be replaced with specific constants to become a logical statement.
- She demonstrated that certain properties could only be inferred if we constructed sentential functions allowing replacement by domain-specific entities or numeric values.
- Replacing all variable instances in a sentential function with constants yields a sentence, and the given sentence is either true or false depending on the context and values.
- It can be inferred from the explanation that sentential functions serve as a means of creating formal expressions with multiple variables that will only form logical sentences once concrete values are substituted for those variables.
- He was tasked with evaluating the completeness of a certain set of connected sentential functions that needed to cover all scenarios by replacing placeholder variables.