Structural Non-Nullity and the Leibniz Question
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| Natura: | Recurso digital |
| Lingua: | inglese |
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Zenodo
2026
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| _version_ | 1866901749693939712 |
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| author | Bresciano, Claudio |
| author_facet | Bresciano, Claudio |
| contents | <p>The classical Leibnizian question—<em>Why is there something rather than nothing?</em>—implicitly assumes that absolute nothingness is a reachable state within the space of possibilities. Within the <strong>Theory of Axiomatic Necessity (TNA)</strong>, we demonstrate the <strong>Structural Non-Nullity Theorem</strong>, proving that the empty set <span>$\varnothing$</span> is not an element of the state space <span>$\Omega$</span>. Consequently, nothingness is not a possible state of any system. This shift redirects the metaphysical inquiry from the problem of existence versus non-existence toward the competition between alternative structural domains. By establishing that dynamics are subordinate to a pre-existing geometric manifold, the framework provides a formal basis for structural necessity as a prerequisite for any dynamical description.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19039508 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Structural Non-Nullity and the Leibniz Question Bresciano, Claudio Leibniz Question, Structural Non-Nullity, TNA Framework, State Space $\Omega$, Structural Necessity, Geometric Manifold <p>The classical Leibnizian question—<em>Why is there something rather than nothing?</em>—implicitly assumes that absolute nothingness is a reachable state within the space of possibilities. Within the <strong>Theory of Axiomatic Necessity (TNA)</strong>, we demonstrate the <strong>Structural Non-Nullity Theorem</strong>, proving that the empty set <span>$\varnothing$</span> is not an element of the state space <span>$\Omega$</span>. Consequently, nothingness is not a possible state of any system. This shift redirects the metaphysical inquiry from the problem of existence versus non-existence toward the competition between alternative structural domains. By establishing that dynamics are subordinate to a pre-existing geometric manifold, the framework provides a formal basis for structural necessity as a prerequisite for any dynamical description.</p> |
| title | Structural Non-Nullity and the Leibniz Question |
| topic | Leibniz Question, Structural Non-Nullity, TNA Framework, State Space $\Omega$, Structural Necessity, Geometric Manifold |
| url | https://doi.org/10.5281/zenodo.19039508 |