sentential function: meaning, definition, pronunciation and examples
C2Highly technical/academic
Quick answer
What does “sentential function” mean?
In logic and formal semantics, an expression containing one or more free variables that becomes a complete proposition (sentence) when those variables are replaced by specific values or names.
Audio
Pronunciation
Definition
Meaning and Definition
In logic and formal semantics, an expression containing one or more free variables that becomes a complete proposition (sentence) when those variables are replaced by specific values or names.
A formal, abstract representation of the structure of a statement before specific content is assigned to its placeholders; used in logical analysis, mathematics, and computer science.
Dialectal Variation
British vs American Usage
Differences
No significant lexical or syntactic differences. Usage is identical across academic communities.
Connotations
Exclusively technical, with no colloquial connotations.
Frequency
Extremely rare outside formal logic, linguistics, or philosophy departments. Frequency is identical in both varieties.
Grammar
How to Use “sentential function” in a Sentence
[sentential function] + [contains/free variable(s)][substitute/value for] + [the variable in] + [sentential function]Vocabulary
Collocations
Examples
Examples of “sentential function” in a Sentence
adjective
British English
- The sentential function approach clarifies the logical structure.
- We need a sentential function analysis.
American English
- The sentential-function analysis clarifies the logical structure.
- We need a sentential-function approach.
Usage
Meaning in Context
Business
Virtually never used.
Academic
Core term in formal logic, philosophical logic, theoretical linguistics, and computer science (type theory).
Everyday
Not used.
Technical
Used precisely to discuss the semantics of quantification, substitution, and logical form.
Vocabulary
Synonyms of “sentential function”
Vocabulary
Antonyms of “sentential function”
Watch out
Common Mistakes When Using “sentential function”
- Confusing it with a grammatical function in a sentence (e.g., subject, object).
- Using it to mean 'the purpose of a sentence'.
- Treating it as synonymous with 'function word'.
FAQ
Frequently Asked Questions
In most modern logical contexts, yes, they are synonyms. 'Propositional function' is slightly older but still widely used.
'x is capital of France' is a sentential function. It becomes the true proposition 'Paris is capital of France' when 'x' is replaced by 'Paris', and a false one if replaced by 'London'.
It is fundamental in mathematical logic, analytic philosophy, formal semantics in linguistics, and parts of theoretical computer science (e.g., type theory, formal verification).
They are closely related. A predicate (like 'is capital of') is often the core of a sentential function. The sentential function includes the predicate plus its unsaturated argument slots (variables).
In logic and formal semantics, an expression containing one or more free variables that becomes a complete proposition (sentence) when those variables are replaced by specific values or names.
Sentential function is usually highly technical/academic in register.
Sentential function: in British English it is pronounced /senˈten.ʃəl ˈfʌŋk.ʃən/, and in American English it is pronounced /senˈten.tʃəl ˈfʌŋk.ʃən/. Tap the audio buttons above to hear it.
Learning
Memory Aids
Mnemonic
Think of a 'sentential function' as a sentence template with blanks (variables). It 'functions' to generate a real sentence when you fill in the blanks.
Conceptual Metaphor
A SENTENCE IS A COMPLETED FORMULA; A SENTENTIAL FUNCTION IS A FORMULA WITH BLANKS.
Practice
Quiz
Which of the following best describes a 'sentential function'?