Which sentence most directly challenges the compositionality principle?
AThe cat sat on the mat.
BShe kicked the bucket.
CNo student passed every exam.
DEvery unicorn has a horn.
'She kicked the bucket' is an idiom meaning 'she died.' Its meaning cannot be computed from the meanings of 'kick,' 'the,' and 'bucket' plus grammatical rules — the whole means something entirely different from the sum of its parts. This is the canonical challenge to compositionality. The other sentences have compositional meanings (even with quantifier scope ambiguity or fictional reference).
Question 2 True / False
Compositionality means that knowing the meaning of each word in a sentence is typically sufficient to understand the sentence.
TTrue
FFalse
Answer: False
Syntactic structure — how words are combined — is equally essential. 'The dog bit the man' and 'The man bit the dog' use the same words but have different meanings because the grammatical roles differ. Compositionality requires both the meanings of parts AND the rules for combining them; neither alone is sufficient.
Question 3 Short Answer
Why does compositionality matter for explaining linguistic productivity — the ability to understand infinitely many sentences?
Think about your answer, then reveal below.
Model answer: Because language has a finite vocabulary and finite grammatical rules, but compositionality allows these finite resources to generate and interpret infinitely many expressions. Any new combination of known words according to known rules produces a new expression whose meaning can be computed without memorizing it separately.
This is sometimes called the 'productivity argument' for compositionality. If meanings were not compositional — if every sentence's meaning had to be stipulated independently — no finite mind could handle a productive language. Compositionality is the mechanism that bridges finite means and infinite expressive capacity.