翻訳待ち：The No-Meaning Falsity: The Structural Impossibility of the Arbitrary Sign in Classical Arabic

AI サービスが一時的に利用できないため、復旧後に翻訳を補完します。

--> [Submitted on 7 Aug 2026] Title:The No-Meaning Falsity: The Structural Impossibility of the Arbitrary Sign in Classical Arabic View a PDF of the paper titled The No-Meaning Falsity: The Structural Impossibility of the Arbitrary Sign in Classical Arabic, by Elnaserledinellah Mahmoud Abdelwahab View PDF Abstract:This paper investigates whether the postmodern claim of unrestricted semantic indeterminacy, and its foundational Saussurean axiom of the arbitrary sign, are compatible with the structural architecture of Classical Arabic. We develop a formal mathematical model of Arabic non concatenative morphology in which lexical meaning is determined by the interaction between an invariant root and a morphosyntactic pattern. Within this framework, we establish a Morphological Correspondence Theorem, demonstrating that every lexical item is uniquely generated by a root pattern pair, and a Semantic Localization Theorem, proving that lexical meaning is determined at the derivational level prior to surface realization. To address Saussurean weaker notion of relative arbitrariness, we formalize it via conditional Kolmogorov complexity, defining arbitrariness algorithmically as the no rule property. We prove that general relative arbitrariness is formally undecidable, while Arabic relative arbitrariness is decidable and provably less than 1 for its motivated signifiers (Levels W and M), establishing a strict system complexity asymmetry over Indo-European languages. Comments: 45 pages Subjects: Computation and Language (cs.CL) Cite as: arXiv:2608.07737 [cs.CL] (or arXiv:2608.07737v1 [cs.CL] for this version) https://doi.org/10.48550/arXiv.2608.07737 arXiv-issued DOI via DataCite (pending registration) Submission history From: Elnaser Abdelwahab [view email] [v1] Fri, 7 Aug 2026 20:01:20 UTC (38 KB) Full-text links: Access Paper: View a PDF of the paper titled The No-Meaning Falsity: The Structural Impossibility of the Arbitrary Sign in Classical Arabic, by Elnaserledinellah Mahmoud Abdelwahab View PDF TeX Source view license Current browse context: cs.CL new | recent | 2026-08 Change to browse by: cs References & Citations NASA ADS Google Scholar Semantic Scholar Loading... Data provided by: Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)