Structural Patterns Of Knot Semantic Logic In Mbojo Pantun

Authors

DOI:

https://doi.org/10.30605/proximal.v9i2.9544

Keywords:

Knot Semantic Logic, Mbojo Pantun, oral literature, semantic structure, ethnomathematics, mathematical linguistics

Abstract

Mbojo Pantun (Patu Mbojo) is an important form of indigenous oral literature that preserves cultural values, moral teachings, and local wisdom within the Bima community of West Nusa Tenggara, Indonesia. While previous studies have primarily examined Mbojo Pantun from linguistic, literary, and cultural perspectives, its underlying mathematical semantic organization remains largely unexplored. This study aims to investigate the structural patterns of Mbojo Pantun using the Knot Semantic Logic (KSL) framework. A qualitative descriptive approach was employed by selecting representative pantun through purposive sampling from documented literary sources and oral traditions. The analysis involved identifying semantic knot points, constructing knot point matrices, examining recursive semantic correspondences, and classifying structural configurations according to the principles of Knot Semantic Logic. The results identified four semantic structures: Ring Composition, Chiasm, Parallelism, and Asymmetrical Semantic Structure (ASS). Ring Composition exhibits concentric semantic symmetry centered on a core concept, Chiasm demonstrates mirrored semantic correspondence, and Parallelism preserves sequential semantic repetition. In contrast, Asymmetrical Semantic Structure represents a linear progression of ideas without recursive semantic correspondence. These findings demonstrate that the semantic organization of Mbojo Pantun can be formally represented through mathematical structures, revealing that indigenous oral literature embodies systematic semantic patterns beyond its aesthetic and cultural functions. Furthermore, this study extends the application of Knot Semantic Logic from formal statements and religious discourse to traditional oral literature and proposes Asymmetrical Semantic Structure (ASS) as a complementary structural category within the KSL framework. The proposed framework contributes to the development of mathematical linguistics, ethnomathematics, and computational approaches to semantic structure analysis.

References

Atiyah, M. (1990). The geometry and physics of knots. Cambridge University Press.

Chomsky, N. (2019). Deep structure, surface structure and semantic interpretation. In Studies on semantics in generative grammar (pp. 62–119). De Gruyter Mouton. https://doi.org/10.1515/9783110867589-004

Copi, I. M., & Cohen, C. (2004). Essentials of logic. Pearson.

Douglas, M. (2007). Thinking in circles: An essay on ring composition. Yale University Press.

Farrin, R. (2010). Surat al-Baqara: A structural analysis. The Muslim World, 100(1), 17–32. https://doi.org/10.1111/j.1478-1913.2009.01299.x

Farrin, R. (2014). Structure and Qur'anic interpretation: A study of symmetry and coherence in Islam's holy text. White Cloud Press.

Haryanto, T., Nusantara, T., Subanji, & Abadyo. (2016). Ethnomathematics in Arfak (West Papua, Indonesia): Hidden mathematics on knot of Rumah Kaki Seribu. Educational Research and Reviews, 11(7), 420–425.

Ja'faruddin. (2022). Geometry and knot theory in ethnomathematics and ethnochemistry (Doctoral dissertation, Tunghai University).

Ja'faruddin, Chen, W.-H., & Khaerati. (2021). Knot semantic logic and deep structure of statements. Journal of Physics: Conference Series, 2123, 012031.

Ja'faruddin, Chen, W.-H., & Khaerati. (2021). Mathematical knot semantic logic: Theory and example in Surah Al-Kahf. Journal of Physics: Conference Series, 1899, 012093.

Ja'faruddin, Chen, W.-H., & Khaerati. (2024). Topological insights into the knot patterns of King Hadat's artifacts in Mandar. In Proceedings of the International Conference on Educational Studies in Mathematics (ICoESM).

Ja'faruddin. (2024). Unveiling the hidden mathematics in traditional Indonesian culinary art: An exploration of knot theory and Alexander polynomial in Ketupat Telur. Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika. https://doi.org/10.30605/proximal.v5i2.3755

Khaerati, Ja'faruddin, Fadilah, N., Aslindawati, N., Fadiyah, W. N., & Ihsan, M. (2025). A comparative performance evaluation of Copilot, Gemini, and DeepSeek in understanding Knot Semantic Logic. Journal of Mathematics, Computations and Statistics, 8(2), 701–710. https://doi.org/10.35580/7x4cwq80

Welch, J. W. (1995). Criteria for identifying and evaluating the presence of chiasmus. Journal of Book of Mormon Studies.

Lickorish, W. R. (1997). An introduction to knot theory. Springer.

Meynet, R. (1998). Rhetorical analysis: An introduction to biblical rhetoric. Sheffield Academic Press.

Murasugi, K. (1996). Knot theory and its applications. Birkhäuser.

Neuwirth, A. (2006). Structural, linguistic and literary features. In J. D. McAuliffe (Ed.), The Cambridge companion to the Qur'an (pp. xx–xx). Cambridge University Press.

Paltridge, B. (2006). Discourse analysis: An introduction. Continuum.

Robinson, N. (2003). Discovering the Qur'an: A contemporary approach to a veiled text. SCM-Canterbury Press.

Wacker, J. G. (2004). A theory of formal conceptual definitions: Developing theory-building measurement instruments. Journal of Operations Management, 22(6), 629–650. https://doi.org/10.1016/j.jom.2004.08.002

Downloads

Published

2026-08-07

How to Cite

Structural Patterns Of Knot Semantic Logic In Mbojo Pantun. (2026). Proximal: Jurnal Penelitian Matematika Dan Pendidikan Matematika, 9(2), 674-684. https://doi.org/10.30605/proximal.v9i2.9544