Leitgeb, Hannes; Hieke, Alexander (December 2004): Circular Languages. In: Journal of Logic, Language and Information, Vol. 13, No. 3: pp. 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.
Item Type: | Journal article |
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Faculties: | Philosophy, Philosophy of Science and Religious Science > Munich Center for Mathematical Philosophy (MCMP) Philosophy, Philosophy of Science and Religious Science > Munich Center for Mathematical Philosophy (MCMP) > Logic |
Subjects: | 100 Philosophy and Psychology > 160 Logic 400 Language > 400 Language 400 Language > 410 Linguistics |
ISSN: | 1572-9583 |
Language: | English |
ID Code: | 49640 |
Deposited On: | 28. May 2018 12:40 |
Last Modified: | 15. Dec 2020 09:38 |