Situation semantics in the context of Formal semantics

Formal semantics is the scientific study of linguistic meaning through formal tools from logic and mathematics. It is an interdisciplinary field, sometimes regarded as a subfield of both linguistics and philosophy of language. Formal semanticists rely on diverse methods to analyze natural language. Many examine the meaning of a sentence by studying the circumstances in which it would be true. They describe these circumstances using abstract mathematical models to represent entities and their features. The principle of compositionality helps them link the meaning of expressions to abstract objects in these models. This principle asserts that the meaning of a compound expression is determined by the meanings of its parts.

Propositional and predicate logic are formal systems used to analyze the semantic structure of sentences. They introduce concepts like singular terms, predicates, quantifiers, and logical connectives to represent the logical form of natural language expressions. Type theory is another approach utilized to describe sentences as nested functions with precisely defined input and output types. Various theoretical frameworks build on these systems. Possible world semantics and situation semantics evaluate truth across different hypothetical scenarios. Dynamic semantics analyzes the meaning of a sentence as the information contribution it makes.

Situation theory is a mathematical and logical framework for modelling information, partial states of affairs and their structure. It was introduced in the early 1980s as the formal background for situation semantics developed by Jon Barwise and John Perry, and has since been elaborated by authors such as Keith Devlin, Jeremy Seligman and Lawrence S. Moss into a general theory of information and information flow. In many presentations the mathematical foundations make essential use of non-well-founded set theory, especially Peter Aczel's anti-foundation axiom, in order to model self-referential and other "circular" informational structures.

The relation between situation theory and situation semantics is often compared to that between type theory and Montague semantics: situation theory provides a general mathematical ontology (infons, situations, types, constraints), while situation semantics applies that ontology to natural-language meaning and context dependence.

John Richard Perry (born January 16, 1943) is an American philosopher who is professor emeritus at Stanford University and the University of California, Riverside. He has made significant contributions to philosophy in the fields of philosophy of language, metaphysics, and philosophy of mind. He is known primarily for his work on situation semantics (together with Jon Barwise), reflexivity, indexicality, personal identity, and self-knowledge.