Paper Investigates the Structural Impossibility of Arbitrary Signs in Classical Arabic

Summary: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. The study develops a formal mathematical model of Arabic non-concatenative morphology, establishing a Morphological Correspondence Theorem and a Semantic Localization Theorem. These theorems demonstrate that lexical meaning is uniquely generated by root-pattern pairs and determi

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Background and Motivation

The postmodern claim of unrestricted semantic indeterminacy and the foundational Saussurean axiom of the arbitrary sign have been contentious topics in linguistics. However, the applicability of these theories to complex language systems like Classical Arabic has not been systematically explored. This study aims to fill this gap by constructing a formal model to verify the compatibility of these theories with Classical Arabic.

Key Research Content

1. Formal Mathematical Model of Arabic Non-Concatenative Morphology: The study develops a mathematical model describing the interaction between roots and morphosyntactic patterns in Arabic.
2. Morphological Correspondence Theorem: Proves that each lexical item is uniquely generated by a root-pattern pair.
3. Semantic Localization Theorem: Demonstrates that lexical meaning is determined at the derivational level prior to surface realization.
4. Formalization of Relative Arbitrariness: Utilizes conditional Kolmogorov complexity to formalize relative arbitrariness and proves its decidability.

Technical Highlights

• Innovative Theoretical Framework: Applies Saussure's theory of the arbitrary sign to Classical Arabic for the first time and constructs a corresponding mathematical model.
• Morphological Correspondence and Semantic Localization Theorems: Provides new insights into the mechanisms of Arabic lexical generation.
• Decidability of Relative Arbitrariness: Reveals the unique systemic complexity of Arabic.

Industry Impact and Recommendations for Developers

This research holds significant implications for the field of Natural Language Processing (NLP). For instance, when designing Arabic NLP models, developers can refer to the morphological model proposed in this study to enhance the model's ability to understand Arabic lexical generation and semantics. Additionally, the findings offer new perspectives for cross-linguistic research, suggesting that developers should pay attention to the morphological and semantic differences across languages to design more universal language models.

Conclusion

Through rigorous mathematical modeling and theorem proving, this study uncovers the unique characteristics of Classical Arabic in terms of semantics and morphology, providing new insights for both linguistic theory and NLP technology development.

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Tags: #Linguistics #Morphology #Semantics #NLP #Classical Arabic