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Relevant bibliographies by topics / Axiom of Determinancy

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Academic literature on the topic 'Axiom of Determinancy'

Author: Grafiati

Published: 4 June 2021

Last updated: 13 February 2022

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Journal articles on the topic "Axiom of Determinancy"

1

Larson, Paul B., and W. Hugh Woodin. "The Axiom of Determinacy, Forcing Axioms, and the Nonstationary Ideal." Bulletin of Symbolic Logic 8, no. 1 (2002): 91. http://dx.doi.org/10.2307/2687737.

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Ikegami, Daisuke, David de Kloet, and Benedikt Löwe. "The axiom of real Blackwell determinacy." Archive for Mathematical Logic 51, no. 7-8 (2012): 671–85. http://dx.doi.org/10.1007/s00153-012-0291-x.

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3

Seabold, Daniel Evan. "Chang's Conjecture and the Non-Stationary Ideal." Journal of Symbolic Logic 66, no. 1 (2001): 144–70. http://dx.doi.org/10.2307/2694915.

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In The Axiom of Determinacy, Forcing Axioms and the Nonstationary Ideal [W1], Woodin constructs the partial order ℙmax, which in the presence of large cardinals yields a forcing extension of L(ℝ) where ZFC holds and the non-stationary ideal on ω1 (hereafter denoted NSω1) is ω2-saturated. The basic analysis of ℙmax forcing over L(ℝ) can be carried out assuming only the Axiom of Determinacy (AD). In the central result of this paper, we show that if one increases slightly the strength of the determinacy assumptions, then Chang's Conjecture—the assertion that every finitary algebra on ω2 has a sub

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4

Maddy, Penelope. "Believing the axioms. II." Journal of Symbolic Logic 53, no. 3 (1988): 736–64. http://dx.doi.org/10.2307/2274569.

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This is a continuation of Believing the axioms. I, in which nondemonstrative arguments for and against the axioms of ZFC, the continuum hypothesis, small large cardinals and measurable cardinals were discussed. I turn now to determinacy hypotheses and large large cardinals, and conclude with some philosophical remarks.Determinacy is a property of sets of reals. If A is such a set, we imagine an infinite game G(A) between two players I and II. The players take turns choosing natural numbers. In the end, they have generated a real number r (actually a member of the Baire space ωω). If r is in A,

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Oh, Hilario (Larry). "Hubcap and ignition switch designs - case studies in Independence Axiom." MATEC Web of Conferences 223 (2018): 01022. http://dx.doi.org/10.1051/matecconf/201822301022.

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Independence Axiom offers designers a guide to good design. It declares that the design parameters (DPs) conceived for a good design must maintain the independence of the design functional requirements (FRs). Specifically, by relating FRs to DPs through a design matrix [DM] with elements ∂FRi/∂DPj, Independence Axiom declares that only designs with diagonal or triangular design matrix can maintain the functional independence of FRs; and that they should be the only acceptable ones. Starting with the formal definition of functional independence, we derive the criterion for functional independen

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SHI, XIANGHUI. "AXIOM I0 AND HIGHER DEGREE THEORY." Journal of Symbolic Logic 80, no. 3 (2015): 970–1021. http://dx.doi.org/10.1017/jsl.2015.15.

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AbstractIn this paper, we analyze structures of Zermelo degrees via a list of four degree theoretic questions (see §2) in various fine structure extender models, or under large cardinal assumptions. In particular we give a detailed analysis of the structures of Zermelo degrees in the Mitchell model for ω many measurable cardinals. It turns out that there is a profound correlation between the complexity of the degree structures at countable cofinality singular cardinals and the large cardinal strength of the relevant cardinals. The analysis applies to general degree notions, Zermelo degree is m

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Haszelinna binti Abang Ali, Dayang, and G. Reza Arabsheibani. "Child Labour in Indonesia: Supply-Side Determinants." Economics and Finance in Indonesia 62, no. 3 (2017): 162. http://dx.doi.org/10.7454/efi.v62i3.555.

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This study analyses the determinants of working among 10–17 years’ children and to investigate the presence of Luxury Axiom. Child tends to work as they gets older, has biological ties to the household head and lives in a rural area. The higher levels of household head’s education lead to the children’s been less likely to work. With regard to the Luxury Axiom, household income is negatively impact the work decision. Birth order is positively related to working and the probability of working decreases by the presence of employed adult. Finally, the impact of the child’s activities varies by pr

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Müller, Sandra. "The axiom of determinacy implies dependent choice in mice." Mathematical Logic Quarterly 65, no. 3 (2019): 370–75. http://dx.doi.org/10.1002/malq.201800077.

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9

Godefroy, Gilles, and Alain Louveau. "Axioms of determinacy and biorthogonal systems." Israel Journal of Mathematics 67, no. 1 (1989): 109–16. http://dx.doi.org/10.1007/bf02764903.

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10

Rugh, Hans Henrik. "Generalized Fredholm determinants and Selberg zeta functions for Axiom A dynamical systems." Ergodic Theory and Dynamical Systems 16, no. 4 (1996): 805–19. http://dx.doi.org/10.1017/s0143385700009111.

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AbstractWe consider a generalized Fredholm determinant d(z) and a generalized Selberg zeta function ζ(ω)−1 for Axiom A diffeomorphisms of a surface and Axiom A flows on three-dimensional manifolds, respectively. We show that d(z) and ζ(ω)−1 extend to entire functions in the complex plane. That the functions are entire and not only meromorphic is proved by a new method, identifying removable singularities by a change of Markov partitions.

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Dissertations / Theses on the topic "Axiom of Determinancy"

1

May, Russell J. "A Collapsing Result Using the Axiom of Determinancy and the Theory of Possible Cofinalities." Thesis, University of North Texas, 2001. https://digital.library.unt.edu/ark:/67531/metadc2789/.

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Assuming the axiom of determinacy, we give a new proof of the strong partition relation on ω1. Further, we present a streamlined proof that J<λ+(a) (the ideal of sets which force cof Π α < λ) is generated from J<λ+(a) by adding a singleton. Combining these results with a polarized partition relation on ω1

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2

Stanton, Samantha. "The Axiom of Determinacy." VCU Scholars Compass, 2010. http://scholarscompass.vcu.edu/etd/2189.

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Working within the Zermelo-Frankel Axioms of set theory, we will introduce two important contradictory axioms: Axiom of Choice and Axiom of Determinacy. We will explore perfect polish spaces and games on these spaces to see that the Axiom of Determinacy is inconsistent with the Axiom of Choice. We will see some of the major consequences of accepting the Axiom of Determinacy and how some of these results change when accepting the Axiom of Choice. We will consider 2-player games of perfect information wherein we will see some powerful results having to do with properties of the real numbers. We

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3

Kovachev, Bogomil. "Some Axioms of Weak Determinacy." Diss., lmu, 2009. http://nbn-resolving.de/urn:nbn:de:bvb:19-109320.

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Holshouser, Jared Kenneth. "Partition Properties for Non-Ordinal Sets under the Axiom of Determinacy." Thesis, University of North Texas, 2017. https://digital.library.unt.edu/ark:/67531/metadc984121/.

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In this paper we explore coloring theorems for the reals, its quotients, cardinals, and their combinations. This work is done under the scope of the axiom of determinacy. We also explore generalizations of Mycielski's theorem and show how these can be used to establish coloring theorems. To finish, we discuss the strange realm of long unions.

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Kovachev, Bogomil [Verfasser]. "Some axioms of weak determinacy / vorgelegt von Bogomil Kovachev." 2009. http://d-nb.info/999636367/34.

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Bold, Stefan [Verfasser]. "Cardinals as ultrapowers : a canonical measure analysis under the axiom of determinacy / vorgelegt von Stefan Bold." 2009. http://d-nb.info/1000569896/34.

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Alfaiate, José António Rodrigues. "O Axioma da Determinabilidade e propriedades dos números reais." Master's thesis, 2017. http://hdl.handle.net/10316/83410.

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Dissertação de Mestrado em Matemática apresentada à Faculdade de Ciências e Tecnologia<br>A análise real é familiaríssima e desconhecidíssima. A familiaridade vem-lhe da física e do cálculo e da geometria e das finanças, e muita intuição que outorga números a espaço e tempo e investimento, o mais das vezes abstraindo as funções reais de fenómenos discretos; vem-lhe a estranheza de respeitar a um conjunto \mathbb{R}, encafuado numa axiomática e rico em propriedades indecidíveis. Na verdade, não há princípios bem-conhecidos que eliminem as patologias da análise e deem uma descrição completa de \

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Books on the topic "Axiom of Determinancy"

1

Woodin, W. H. The axiom of determinacy, forcing axioms, and the nonstationary ideal. 2nd ed. De Gruyter, 2010.

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2

The axiom of determinacy, forcing axioms, and the nonstationary ideal. W. de Gruyter, 1999.

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3

Woodin, W. Hugh. Axiom of Determinacy, Forcing Axioms, and the Nonstationary Ideal. De Gruyter, Inc., 2010.

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Book chapters on the topic "Axiom of Determinancy"

1

"1 Introduction." In The Axiom of Determinacy, Forcing Axioms, and the Nonstationary Ideal. De Gruyter, 2010. http://dx.doi.org/10.1515/9783110213171.1.

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2

"4 The ℙmax-extension." In The Axiom of Determinacy, Forcing Axioms, and the Nonstationary Ideal. De Gruyter, 2010. http://dx.doi.org/10.1515/9783110213171.116.

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3

"5 Applications." In The Axiom of Determinacy, Forcing Axioms, and the Nonstationary Ideal. De Gruyter, 2010. http://dx.doi.org/10.1515/9783110213171.184.

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4

"2 Preliminaries." In The Axiom of Determinacy, Forcing Axioms, and the Nonstationary Ideal. De Gruyter, 2010. http://dx.doi.org/10.1515/9783110213171.21.

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5

"6 ℙmax variations." In The Axiom of Determinacy, Forcing Axioms, and the Nonstationary Ideal. De Gruyter, 2010. http://dx.doi.org/10.1515/9783110213171.287.

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6

"7 Conditional variations." In The Axiom of Determinacy, Forcing Axioms, and the Nonstationary Ideal. De Gruyter, 2010. http://dx.doi.org/10.1515/9783110213171.426.

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7

"8 ♣ principles for ω 1." In The Axiom of Determinacy, Forcing Axioms, and the Nonstationary Ideal. De Gruyter, 2010. http://dx.doi.org/10.1515/9783110213171.493.

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8

"3 The nonstationary ideal." In The Axiom of Determinacy, Forcing Axioms, and the Nonstationary Ideal. De Gruyter, 2010. http://dx.doi.org/10.1515/9783110213171.51.

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9

"9 Extensions of L(Γ, ℝ)." In The Axiom of Determinacy, Forcing Axioms, and the Nonstationary Ideal. De Gruyter, 2010. http://dx.doi.org/10.1515/9783110213171.609.

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10

"10 Further results." In The Axiom of Determinacy, Forcing Axioms, and the Nonstationary Ideal. De Gruyter, 2010. http://dx.doi.org/10.1515/9783110213171.694.

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