Summary and Keywords
Type theory is a regime for classifying objects (including events) into categories called types. It was originally designed in order to overcome problems relating to the foundations of mathematics relating to Russell’s paradox. It has made an immense contribution to the study of logic and computer science and has also played a central role in formal semantics for natural languages since the initial work of Richard Montague building on the typed λ-calculus. More recently, type theories following in the tradition created by Per Martin-Löf have presented an important alternative to Montague’s type theory for semantic analysis. These more modern type theories yield a rich collection of types which take on a role of representing semantic content rather than simply structuring the universe in order to avoid paradoxes.
Access to the complete content on Oxford Research Encyclopedia of Linguistics requires a subscription or purchase. Public users are able to search the site and view the abstracts and keywords for each book and chapter without a subscription. If you are a student or academic complete our librarian recommendation form to recommend the Oxford Research Encyclopedias to your librarians for an institutional free trial.
If you have purchased a print title that contains an access token, please see the token for information about how to register your code.