Modeling Intertwined Humanity: Neutrosophic Complete Graphs, Ubuntu, and the Logic of Not
The human experience, at its most fundamental level, is one of interconnectedness. No individual exists in isolation; identities are forged, values are shaped, and realities are co-constructed within a complex web of relationships. Yet, traditional Western philosophical and scientific models often e...
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| Format: | Article |
| Language: | English |
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University of New Mexico
2025-07-01
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| Series: | Neutrosophic Sets and Systems |
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| Online Access: | https://fs.unm.edu/NSS/1IntertwinedHumanity.pdf |
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| author | Florentin Smarandache Victor Christianto |
| author_facet | Florentin Smarandache Victor Christianto |
| author_sort | Florentin Smarandache |
| collection | DOAJ |
| description | The human experience, at its most fundamental level, is one of interconnectedness. No individual exists in isolation; identities are forged, values are shaped, and realities are co-constructed within a complex web of relationships. Yet, traditional Western philosophical and scientific models often emphasize individualism and discrete entities, probably influenced by traditional Aristotelian logic, struggling to fully capture the fluid, ambiguous, and often contradictory nature of these interdependencies. The challenge, then, is to develop a modeling framework capable of expressing such profound and multi-faceted entanglement, especially when relationships are characterized by ambiguity, partial truths, or even co-existing contradictions. Classical graph theory, with its binary edges (either a connection exists or it does not), falls short. This article argues that the Neutrosophic complete graph, a powerful extension of fuzzy and intuitionistic fuzzy graph theory, offers a promising mathematical instrument for precisely this purpose. By incorporating degrees of truth, falsehood, and crucially, indeterminacy (or neutrality/hesitancy) into its representation of nodes and relationships, the Neutrosophic complete graph can provide a sophisticated and nuanced model for the intertwined humanity perceived in Ubuntu and the complex non-dualistic insights of the "logic of not," thereby mirroring the irreducible dependency found in Borromean rings. |
| format | Article |
| id | doaj-art-125f379ff65b41d8ae52476847dddddf |
| institution | Kabale University |
| issn | 2331-6055 2331-608X |
| language | English |
| publishDate | 2025-07-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj-art-125f379ff65b41d8ae52476847dddddf2025-08-20T04:03:18ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-07-018811510.5281/zenodo.15758982Modeling Intertwined Humanity: Neutrosophic Complete Graphs, Ubuntu, and the Logic of NotFlorentin SmarandacheVictor ChristiantoThe human experience, at its most fundamental level, is one of interconnectedness. No individual exists in isolation; identities are forged, values are shaped, and realities are co-constructed within a complex web of relationships. Yet, traditional Western philosophical and scientific models often emphasize individualism and discrete entities, probably influenced by traditional Aristotelian logic, struggling to fully capture the fluid, ambiguous, and often contradictory nature of these interdependencies. The challenge, then, is to develop a modeling framework capable of expressing such profound and multi-faceted entanglement, especially when relationships are characterized by ambiguity, partial truths, or even co-existing contradictions. Classical graph theory, with its binary edges (either a connection exists or it does not), falls short. This article argues that the Neutrosophic complete graph, a powerful extension of fuzzy and intuitionistic fuzzy graph theory, offers a promising mathematical instrument for precisely this purpose. By incorporating degrees of truth, falsehood, and crucially, indeterminacy (or neutrality/hesitancy) into its representation of nodes and relationships, the Neutrosophic complete graph can provide a sophisticated and nuanced model for the intertwined humanity perceived in Ubuntu and the complex non-dualistic insights of the "logic of not," thereby mirroring the irreducible dependency found in Borromean rings. https://fs.unm.edu/NSS/1IntertwinedHumanity.pdfinterconnectednessintertwined humanityneutrosophic complete graphgraph theory |
| spellingShingle | Florentin Smarandache Victor Christianto Modeling Intertwined Humanity: Neutrosophic Complete Graphs, Ubuntu, and the Logic of Not Neutrosophic Sets and Systems interconnectedness intertwined humanity neutrosophic complete graph graph theory |
| title | Modeling Intertwined Humanity: Neutrosophic Complete Graphs, Ubuntu, and the Logic of Not |
| title_full | Modeling Intertwined Humanity: Neutrosophic Complete Graphs, Ubuntu, and the Logic of Not |
| title_fullStr | Modeling Intertwined Humanity: Neutrosophic Complete Graphs, Ubuntu, and the Logic of Not |
| title_full_unstemmed | Modeling Intertwined Humanity: Neutrosophic Complete Graphs, Ubuntu, and the Logic of Not |
| title_short | Modeling Intertwined Humanity: Neutrosophic Complete Graphs, Ubuntu, and the Logic of Not |
| title_sort | modeling intertwined humanity neutrosophic complete graphs ubuntu and the logic of not |
| topic | interconnectedness intertwined humanity neutrosophic complete graph graph theory |
| url | https://fs.unm.edu/NSS/1IntertwinedHumanity.pdf |
| work_keys_str_mv | AT florentinsmarandache modelingintertwinedhumanityneutrosophiccompletegraphsubuntuandthelogicofnot AT victorchristianto modelingintertwinedhumanityneutrosophiccompletegraphsubuntuandthelogicofnot |