Containment and Completeness: Revising Inclusion as a Structural Operator in Logic, Mathematics, and Science
Fuente:
Zenodo
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Recurso digital |
| Sprache: | Englisch |
| Veröffentlicht: |
Zenodo
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866902251437555712 |
|---|---|
| author | Johnson, Bruce |
| author_facet | Johnson, Bruce |
| contents | <p><span>This paper proposes a structural reframing of the concepts of inclusion and completeness across formal logic, mathematics, and science. Classical systems treat inclusion as a symbolic or set-theoretic operation, leading to foundational paradoxes such as those surfaced in Gödel's Incompleteness Theorems. We argue that inclusion must be redefined in terms of energetic, topological, and symbolic containment, governed by dimensional compatibility. The paper introduces the <em>Containment Inclusion Principle (KN-104)</em> and proposes a general replacement for logical negation and set membership in curved, recursive, and thermodynamically active systems. This framework reinterprets Gödel not as a universal limit, but as a structural misclassification of containment failure.</span></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15866279 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Containment and Completeness: Revising Inclusion as a Structural Operator in Logic, Mathematics, and Science Johnson, Bruce inclusion, completeness, containment, Gödel, meta-logic, symbolic systems, dimensionality, thermodynamics, recursion, curved logic <p><span>This paper proposes a structural reframing of the concepts of inclusion and completeness across formal logic, mathematics, and science. Classical systems treat inclusion as a symbolic or set-theoretic operation, leading to foundational paradoxes such as those surfaced in Gödel's Incompleteness Theorems. We argue that inclusion must be redefined in terms of energetic, topological, and symbolic containment, governed by dimensional compatibility. The paper introduces the <em>Containment Inclusion Principle (KN-104)</em> and proposes a general replacement for logical negation and set membership in curved, recursive, and thermodynamically active systems. This framework reinterprets Gödel not as a universal limit, but as a structural misclassification of containment failure.</span></p> |
| title | Containment and Completeness: Revising Inclusion as a Structural Operator in Logic, Mathematics, and Science |
| topic | inclusion, completeness, containment, Gödel, meta-logic, symbolic systems, dimensionality, thermodynamics, recursion, curved logic |
| url | https://doi.org/10.5281/zenodo.15866279 |