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00: The Recursive Zero and the Layered Abstraction of Number
| Τίτλος: | 00: The Recursive Zero and the Layered Abstraction of Number |
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| Συγγραφείς: | Bolter, Barry Brian |
| Συνεισφορές: | Bolter, Barry Brian |
| Στοιχεία εκδότη: | Zenodo |
| Έτος έκδοσης: | 2025 |
| Συλλογή: | Zenodo |
| Θεματικοί όροι: | Recursive zero, Double zero (00), Mathematical abstraction, Logic boundary, Structural recursion, Formal systems, Zero asymmetry, Automata theory, Computational logic, Recursive computation, Meta-neutral element, Type theory, Recursive mathematics, Non-standard number systems, Closure and abstraction, Symbolic logic, Foundations of Mathematics, Logic and Set Theory, Number Theory (Non-standard number systems), Formal Languages and Automata Theory, Theory of Computation, Programming Languages (Semantics, Type Systems), Philosophy of Mathematics, Ontology of Abstraction, Symbolic Reasoning, Recursive Representation Models |
| Περιγραφή: | This document is a preprint of the paper titled:"Recursive Neutrality in Automata and Arithmetic: A Formal Model of the Double Zero Operator"It has been made publicly available on Zenodo for the purposes of early community access and peer feedback. The work is currently under consideration for formal peer review and academic journal publication.This paper introduces a formal distinction between two types of computational neutrality, represented by the classical zero (0) and a recursive-neutral operator (00). The structure defines a novel binary operation ⊕ over an extended domain X = ℕ₀ ∪ {00}, accompanied by an automaton model extended with a recursive modifier δ₀₀. The paper demonstrates that 00 behaves as a structurally distinct, non-halting transformation operator — not as an identity element — and proposes a layered ordering framework that distinguishes recursion from halting.Readers are encouraged to treat this version as a theoretical preprint. Feedback is welcome and may inform the final peer-reviewed submission.License: Creative Commons Attribution 4.0 International (CC BY 4.0) |
| Τύπος εγγράφου: | report |
| Γλώσσα: | unknown |
| Relation: | https://zenodo.org/records/15714877; oai:zenodo.org:15714877; https://doi.org/10.5281/zenodo.15714877 |
| DOI: | 10.5281/zenodo.15714877 |
| Διαθεσιμότητα: | https://doi.org/10.5281/zenodo.15714877 https://zenodo.org/records/15714877 |
| Rights: | Creative Commons Attribution 4.0 International ; cc-by-4.0 ; https://creativecommons.org/licenses/by/4.0/legalcode |
| Αριθμός Καταχώρησης: | edsbas.77D57C70 |
| Βάση Δεδομένων: | BASE |
| DOI: | 10.5281/zenodo.15714877 |
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