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Critique of Cantor's Method and Presentation of an Enumeration of Functions over N

Λεπτομέρειες βιβλιογραφικής εγγραφής
Τίτλος: Critique of Cantor's Method and Presentation of an Enumeration of Functions over N
Συγγραφείς: Lynch, Thomas Walker
Στοιχεία εκδότη: Zenodo
Έτος έκδοσης: 2025
Συλλογή: Zenodo
Θεματικοί όροι: Mathematics → Logic, Mathematics → Foundations of Mathematics, Philosophy → Logic, Computer Science → Theory of Computation
Περιγραφή: This paper presents a structural enumeration of all total functions from ℕ to ℕ. It also formally defines representation, introduces an algorithmic formulation of Cantor’s diagonal argument, and applies it to several conventional example cases. In these cases, it is shown that the diagonal argument does not yield exceptions due to nuances in representation and definition.
Τύπος εγγράφου: report
Γλώσσα: unknown
Relation: https://zenodo.org/records/15090739; oai:zenodo.org:15090739; https://doi.org/10.5281/zenodo.15090739
DOI: 10.5281/zenodo.15090739
Διαθεσιμότητα: https://doi.org/10.5281/zenodo.15090739
https://zenodo.org/records/15090739
Rights: Creative Commons Attribution 4.0 International ; cc-by-4.0 ; https://creativecommons.org/licenses/by/4.0/legalcode
Αριθμός Καταχώρησης: edsbas.5D4A3F60
Βάση Δεδομένων: BASE
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  – Url: https://doi.org/10.5281/zenodo.15090739#
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  Data: Critique of Cantor's Method and Presentation of an Enumeration of Functions over N
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  Data: This paper presents a structural enumeration of all total functions from ℕ to ℕ. It also formally defines representation, introduces an algorithmic formulation of Cantor’s diagonal argument, and applies it to several conventional example cases. In these cases, it is shown that the diagonal argument does not yield exceptions due to nuances in representation and definition.
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    Subjects:
      – SubjectFull: Mathematics → Logic
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      – SubjectFull: Mathematics → Foundations of Mathematics
        Type: general
      – SubjectFull: Philosophy → Logic
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      – SubjectFull: Computer Science → Theory of Computation
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      – TitleFull: Critique of Cantor's Method and Presentation of an Enumeration of Functions over N
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