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arxiv: quant-ph/0409001 · v1 · submitted 2004-08-31 · 🪐 quant-ph

Finite enumerable but undecidable collections

classification 🪐 quant-ph
keywords extensionfinitetheorycollectionsdecidablediscussenumerableknown
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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 In this paper we discuss an extension of ZF where this result is no longer valid.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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