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Added by Arxiv Bot | Added: 2026-03-02 18:02 | Views: 1 | Source: arXiv Dataset IDs (Model)

Finite enumerable but undecidable collections

Authors	Adonai S. Sant'Anna
Categories	quant-ph
ArXiv ID	quant-ph/0409001
URL	https://arxiv.org/abs/quant-ph/0409001

Abstract

It is well known that in Zermelo-Fraenkel (ZF) set theory any finite set is decidable. In this paper we discuss an extension of ZF where this result is no longer valid. Such an extension is quasi-set theory and it has its origin on problems motivated by quantum mechanics.

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    "abstract": "It is well known that in Zermelo-Fraenkel (ZF) set theory any finite set is\ndecidable. In this paper we discuss an extension of ZF where this result is no\nlonger valid. Such an extension is quasi-set theory and it has its origin on\nproblems motivated by quantum mechanics.",
    "arxiv_id": "quant-ph/0409001",
    "authors": [
      "Adonai S. Sant\u0027Anna"
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    "title": "Finite enumerable but undecidable collections",
    "url": "https://arxiv.org/abs/quant-ph/0409001"
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