compositionality-montague-homomorphism
IN premise — summaries/2026/08/24/wiki-Principle_of_compositionality.md
Created 2026-08-25T02:58:50+00:00
In the Montague grammar tradition, compositionality is formalized as a homomorphism between an algebra of syntactic representations and an algebra of semantic objects.
Summary
In this framework, the way a sentence is put together grammatically maps cleanly onto the way its meaning is built up, and that mapping preserves the structure at every step. This matters because it gives the system a reliable rule: you can derive a sentence's full meaning from the meanings of its parts and their arrangement, without needing ad-hoc shortcuts for each construction.