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zadetkov: 666
1.
  • TD implies CCR TD implies CCR
    Peng, Yinhe; Yu, Liang Advances in mathematics (New York. 1965), 06/2021, Letnik: 384
    Journal Article
    Recenzirano

    Assuming ZF, we prove that Turing determinacy (TD) implies the countable choice axiom for sets of reals (CCR).
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Dostopno za: GEOZS, IJS, IMTLJ, KILJ, KISLJ, NLZOH, NUK, OILJ, PNG, SAZU, SBCE, SBJE, UILJ, UL, UM, UPCLJ, UPUK, ZAGLJ, ZRSKP
2.
  • Some implications of Ramsey... Some implications of Ramsey Choice for families of n-element sets
    Halbeisen, Lorenz; Schumacher, Salome Archive for mathematical logic, 07/2023, Letnik: 62, Številka: 5-6
    Journal Article
    Recenzirano
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    For n ∈ ω , the weak choice principle RC n is defined as follows: For every infinite set X there is an infinite subset Y ⊆ X with a choice function on Y n : = { z ⊆ Y : | z | = n } . The choice ...
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Dostopno za: DOBA, EMUNI, FIS, FZAB, GEOZS, GIS, IJS, IMTLJ, IZUM, KILJ, KISLJ, MFDPS, NLZOH, NUK, ODKLJ, OILJ, PILJ, PNG, SAZU, SBCE, SBJE, SBMB, SBNM, UILJ, UKNU, UL, UM, UPUK, VKSCE, ZAGLJ
3.
  • Geometry, Coordinatization ... Geometry, Coordinatization and Cardinality of the Rational Numbers from Physical Perspective
    Ghosh, Kaushik Journal of physics. Conference series, 11/2021, Letnik: 2090, Številka: 1
    Journal Article
    Recenzirano
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    Abstract In this article, we will first discuss the completeness of real numbers in the context of an alternate definition of the straight line as a geometric continuum. According to this definition, ...
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Dostopno za: NUK, UL, UM, UPUK

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4.
  • The cardinality of the part... The cardinality of the partitions of a set in the absence of the Axiom of Choice
    Phansamdaeng, Palagorn; Vejjajiva, Pimpen Logic journal of the IGPL, 11/2023, Letnik: 31, Številka: 6
    Journal Article
    Recenzirano

    Abstract In the Zermelo–Fraenkel set theory (ZF), $|\textrm {fin}(A)|<2^{|A|}\leq |\textrm {Part}(A)|$ for any infinite set $A$, where $\textrm {fin}(A)$ is the set of finite subsets of $A$, ...
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Dostopno za: NUK, UL, UM, UPUK
5.
  • CONSTRUCTING MAXIMAL COFINI... CONSTRUCTING MAXIMAL COFINITARY GROUPS
    SCHRITTESSER, DAVID Nagoya mathematical journal, 09/2023, Letnik: 251
    Journal Article
    Recenzirano
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    Improving and clarifying a construction of Horowitz and Shelah, we show how to construct (in $\mathsf {ZF}$ , i.e., without using the Axiom of Choice) maximal cofinitary groups. Among the groups we ...
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Dostopno za: UL
6.
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7.
  • How to have more things by ... How to have more things by forgetting how to count them
    Karagila, Asaf; Schlicht, Philipp Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 07/2020, Letnik: 476, Številka: 2239
    Journal Article
    Recenzirano
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    Cohen’s first model is a model of Zermelo–Fraenkel set theory in which there is a Dedekind-finite set of real numbers, and it is perhaps the most famous model where the Axiom of Choice fails. We ...
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Dostopno za: BFBNIB, NMLJ, NUK, PNG, SAZU, UL, UM, UPUK

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8.
  • Measurable cardinals and ch... Measurable cardinals and choiceless axioms
    Goldberg, Gabriel Annals of pure and applied logic, January 2024, 2024-01-00, Letnik: 175, Številka: 1
    Journal Article
    Recenzirano
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    Kunen refuted the existence of an elementary embedding from the universe of sets to itself assuming the Axiom of Choice. This paper concerns the ramifications of this hypothesis when the Axiom of ...
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Dostopno za: IJS, IMTLJ, KILJ, KISLJ, NLZOH, NUK, OILJ, PNG, SAZU, SBCE, SBJE, UILJ, UL, UM, UPCLJ, UPUK, ZAGLJ, ZRSKP
9.
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Dostopno za: BFBNIB, GIS, IJS, KISLJ, NUK, PNG, UL, UM, UPUK
10.
  • Transcendence bases, well-o... Transcendence bases, well-orderings of the reals and the axiom of choice
    Horowitz, Haim; Shelah, Saharon Proceedings of the American Mathematical Society, 02/2021, Letnik: 149, Številka: 2
    Journal Article
    Recenzirano
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    We prove that ZF\!+\!DC\!+ \text {\lq\lq there exists a transcendence basis for the reals''}\linebreak +\text {\lq\lq there is no well-ordering of the reals''} is consistent relative to ZFC. This ...
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