Indefinitely Large Number

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Stephen Finlay - One of the best experts on this subject based on the ideXlab platform.

  • DRAFT (2-18-09): PLEASE DON‟T CITE WITHOUT PERMISSION 1 What Ought Probably Means, and Why You Can’t Detach It
    2015
    Co-Authors: Stephen Finlay
    Abstract:

    ABSTRACT: Some intuitive normative principles raise vexing „detaching problems ‟ by their failure to license modus ponens. I examine three such principles (a self-reliance principle and two different instrumental principles) and recent stategies employed to resolve their detaching problems. I show that solving these problems necessitates postulating an Indefinitely Large Number of senses for „ought‟. The semantics for „ought ‟ that is standard in linguistics offers a unifying strategy for solving these problems, but I argue that an alternative approach combining an end-relational theory of normativity with a comparative probabilistic semantics for „ought ‟ provides a more satisfactory solution. Certain intuitive normative principles raise puzzles about the meaning of „ought ‟ that continue to vex ethical philosophy. These principles take the form of conditionals, but detaching their consequents by modus ponens yields unacceptable results. Section 1 examines three principles and the detaching problems they present. I show that solving these problems forces us to postulate Indefinitely many different senses for „ought‟, which presents a further problem. How can the one word have so many different meanings? How can we manage to distinguish all these different senses, so as to be able to identify the relevant one in any case? This paper is partly remedial; I point out that the standard semantics for „ought ‟ widely accepted by linguists (following Kratzer 1977, 1981), of which ethical philosophy is still Largel

Thompson J. D. - One of the best experts on this subject based on the ideXlab platform.

  • Pressure-tuned quantum criticality in the antiferromagnetic Kondo semi-metal CeNi$_{2-\delta}$As$_2$
    'Proceedings of the National Academy of Sciences', 2015
    Co-Authors: Luo Yongkang, Ronning F., Wakeham N., Lu Xin, Park Tuson, Xu Zhu-an, Thompson J. D.
    Abstract:

    The easily tuned balance among competing interactions in Kondo-lattice metals allows access to a zero-temperature, continuous transition between magnetically ordered and disordered phases, a quantum-critical point (QCP). Indeed, these highly correlated electron materials are prototypes for discovering and exploring quantum-critical states. Theoretical models proposed to account for the strange thermodynamic and electrical transport properties that emerge around the QCP of a Kondo lattice assume the presence of an Indefinitely Large Number of itinerant charge carriers. Here, we report a systematic transport and thermodynamic investigation of the Kondo-lattice system CeNi$_{2-\delta}$As$_2$ ($\delta$$\thickapprox$0.28) as its antiferromagnetic order is tuned by pressure and magnetic field to zero-temperature boundaries. These experiments show that the very small but finite carrier density of $\sim$0.032 $e^-$/f.u. in CeNi$_{2-\delta}$As$_2$ leads to unexpected transport signatures of quantum criticality and the delayed development of a fully coherent Kondo lattice state with decreasing temperature. The small carrier density and associated semi-metallicity of this Kondo-lattice material favor an unconventional, local-moment type of quantum criticality and raise the specter of Nozi\`{e}res exhaustion idea that an insufficient Number of conduction-electron spins to separately screen local moments requires collective Kondo screening.Comment: 15+7 pages, 4+5 figures in Proc. Natl. Acad. Sci. USA (2015

Luo Yongkang - One of the best experts on this subject based on the ideXlab platform.

  • Pressure-tuned quantum criticality in the antiferromagnetic Kondo semi-metal CeNi$_{2-\delta}$As$_2$
    'Proceedings of the National Academy of Sciences', 2015
    Co-Authors: Luo Yongkang, Ronning F., Wakeham N., Lu Xin, Park Tuson, Xu Zhu-an, Thompson J. D.
    Abstract:

    The easily tuned balance among competing interactions in Kondo-lattice metals allows access to a zero-temperature, continuous transition between magnetically ordered and disordered phases, a quantum-critical point (QCP). Indeed, these highly correlated electron materials are prototypes for discovering and exploring quantum-critical states. Theoretical models proposed to account for the strange thermodynamic and electrical transport properties that emerge around the QCP of a Kondo lattice assume the presence of an Indefinitely Large Number of itinerant charge carriers. Here, we report a systematic transport and thermodynamic investigation of the Kondo-lattice system CeNi$_{2-\delta}$As$_2$ ($\delta$$\thickapprox$0.28) as its antiferromagnetic order is tuned by pressure and magnetic field to zero-temperature boundaries. These experiments show that the very small but finite carrier density of $\sim$0.032 $e^-$/f.u. in CeNi$_{2-\delta}$As$_2$ leads to unexpected transport signatures of quantum criticality and the delayed development of a fully coherent Kondo lattice state with decreasing temperature. The small carrier density and associated semi-metallicity of this Kondo-lattice material favor an unconventional, local-moment type of quantum criticality and raise the specter of Nozi\`{e}res exhaustion idea that an insufficient Number of conduction-electron spins to separately screen local moments requires collective Kondo screening.Comment: 15+7 pages, 4+5 figures in Proc. Natl. Acad. Sci. USA (2015

Ronning F. - One of the best experts on this subject based on the ideXlab platform.

  • Pressure-tuned quantum criticality in the antiferromagnetic Kondo semi-metal CeNi$_{2-\delta}$As$_2$
    'Proceedings of the National Academy of Sciences', 2015
    Co-Authors: Luo Yongkang, Ronning F., Wakeham N., Lu Xin, Park Tuson, Xu Zhu-an, Thompson J. D.
    Abstract:

    The easily tuned balance among competing interactions in Kondo-lattice metals allows access to a zero-temperature, continuous transition between magnetically ordered and disordered phases, a quantum-critical point (QCP). Indeed, these highly correlated electron materials are prototypes for discovering and exploring quantum-critical states. Theoretical models proposed to account for the strange thermodynamic and electrical transport properties that emerge around the QCP of a Kondo lattice assume the presence of an Indefinitely Large Number of itinerant charge carriers. Here, we report a systematic transport and thermodynamic investigation of the Kondo-lattice system CeNi$_{2-\delta}$As$_2$ ($\delta$$\thickapprox$0.28) as its antiferromagnetic order is tuned by pressure and magnetic field to zero-temperature boundaries. These experiments show that the very small but finite carrier density of $\sim$0.032 $e^-$/f.u. in CeNi$_{2-\delta}$As$_2$ leads to unexpected transport signatures of quantum criticality and the delayed development of a fully coherent Kondo lattice state with decreasing temperature. The small carrier density and associated semi-metallicity of this Kondo-lattice material favor an unconventional, local-moment type of quantum criticality and raise the specter of Nozi\`{e}res exhaustion idea that an insufficient Number of conduction-electron spins to separately screen local moments requires collective Kondo screening.Comment: 15+7 pages, 4+5 figures in Proc. Natl. Acad. Sci. USA (2015

Wakeham N. - One of the best experts on this subject based on the ideXlab platform.

  • Pressure-tuned quantum criticality in the antiferromagnetic Kondo semi-metal CeNi$_{2-\delta}$As$_2$
    'Proceedings of the National Academy of Sciences', 2015
    Co-Authors: Luo Yongkang, Ronning F., Wakeham N., Lu Xin, Park Tuson, Xu Zhu-an, Thompson J. D.
    Abstract:

    The easily tuned balance among competing interactions in Kondo-lattice metals allows access to a zero-temperature, continuous transition between magnetically ordered and disordered phases, a quantum-critical point (QCP). Indeed, these highly correlated electron materials are prototypes for discovering and exploring quantum-critical states. Theoretical models proposed to account for the strange thermodynamic and electrical transport properties that emerge around the QCP of a Kondo lattice assume the presence of an Indefinitely Large Number of itinerant charge carriers. Here, we report a systematic transport and thermodynamic investigation of the Kondo-lattice system CeNi$_{2-\delta}$As$_2$ ($\delta$$\thickapprox$0.28) as its antiferromagnetic order is tuned by pressure and magnetic field to zero-temperature boundaries. These experiments show that the very small but finite carrier density of $\sim$0.032 $e^-$/f.u. in CeNi$_{2-\delta}$As$_2$ leads to unexpected transport signatures of quantum criticality and the delayed development of a fully coherent Kondo lattice state with decreasing temperature. The small carrier density and associated semi-metallicity of this Kondo-lattice material favor an unconventional, local-moment type of quantum criticality and raise the specter of Nozi\`{e}res exhaustion idea that an insufficient Number of conduction-electron spins to separately screen local moments requires collective Kondo screening.Comment: 15+7 pages, 4+5 figures in Proc. Natl. Acad. Sci. USA (2015