Circular Languages

Leitgeb, Hannes und Hieke, Alexander (Dezember 2004): Circular Languages. In: Journal of Logic, Language and Information, Bd. 13, Nr. 3: S. 341-371

Abstract

In this paper we investigate two purely syntactical notions ofcircularity, which we call ``self-application'' and ``self-inclusion.'' Alanguage containing self-application allows linguistic items to beapplied to themselves. In a language allowing for self-inclusion thereare expressions which include themselves as a proper part. We introduceaxiomatic systems of syntax which include identity criteria andexistence axioms for such expressions. The consistency of these axiomsystems will be shown by providing a variety of different models —these models being our circular languages. Finally we will show what apossible semantics for these circular languages could look like.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Philosophie, Wissenschaftstheorie und Religionswissenschaft > Munich Center for Mathematical Philosophy (MCMP) ; Philosophie, Wissenschaftstheorie und Religionswissenschaft > Munich Center for Mathematical Philosophy (MCMP) > Logic
• Themengebiete: 100 Philosophie und Psychologie > 160 Logik ; 400 Sprache > 400 Sprache ; 400 Sprache > 410 Linguistik
• ISSN: 1572-9583
• Sprache: Englisch