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zadetkov: 655
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
    Odprti dostop

    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.
  • Periodicity in the cumulati... Periodicity in the cumulative hierarchy
    Goldberg, Gabriel; Schlutzenberg, Farmer Journal of the European Mathematical Society : JEMS, 01/2024, Letnik: 26, Številka: 6
    Journal Article
    Recenzirano
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Dostopno za: NUK, UL, UM, UPUK
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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zadetkov: 655

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