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The consistency of the axiom of choice and of the generalized continuum-hypothesis with the axioms of set theory/
出版 1940主题: “...Axiom of choice...”
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Five Axioms of Things
出版 2024-09-01“...I extend my previous work on the five axioms of evaluation to understanding a thing, which I call the five axioms of things. ...”
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Supra ω-separation axioms
出版 2020-01-01“...The purpose of this paper is to introduce new types of supra separation axioms by using supra ω-open sets and supra N-open sets in the supra spaces and illustrate the relation between them, and to introduce new forms of supra continuous functions, supra perfectly continuous functions and supra homeomorphism functions. ...”
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Base Axioms of Modular Supermatroids
出版 2014-01-01“...This paper studies axiom systems of supermatroids. Barnabei et al.'s base axioms concerning poset matroids (i.e., distributive supermatroids) are generalized to modular supermatroids, and a mistake in the proof of base axioms of poset matroids is pointed out....”
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Operational axioms for diagonalizing states
出版 2015“...A natural question then arises: can we reconstruct these notions from purely operational axioms? We address this question in the framework of general probabilistic theories, presenting a set of axioms that guarantee that every state can be diagonalized. ...”
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