Results for 'David Asperó'

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  1.  44
    Bounded Martin's maximum, weak Erdős cardinals, and $\psi\sb {AC}$.David Asperó & Philip Welch - 2002 - Journal of Symbolic Logic 67 (3):1141-1152.
  2.  15
    Bounded Martin's Maximum, weak Erdӧs cardinals, and ψ Ac.David Asperó & Philip D. Welch - 2002 - Journal of Symbolic Logic 67 (3):1141-1152.
  3.  45
    A maximal bounded forcing axiom.David Asperó - 2002 - Journal of Symbolic Logic 67 (1):130-142.
    After presenting a general setting in which to look at forcing axioms, we give a hierarchy of generalized bounded forcing axioms that correspond level by level, in consistency strength, with the members of a natural hierarchy of large cardinals below a Mahlo. We give a general construction of models of generalized bounded forcing axioms. Then we consider the bounded forcing axiom for a class of partially ordered sets Γ 1 such that, letting Γ 0 be the class of all stationary-set-preserving (...)
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  4.  28
    Bounded Martin's Maximum, Weak [image] Cardinals, and [image].David Asperó & Philip D. Welch - 2002 - Journal of Symbolic Logic 67 (3):1141 - 1152.
    We prove that a form of the $Erd\H{o}s$ property (consistent with $V = L\lbrack H_{\omega_2}\rbrack$ and strictly weaker than the Weak Chang's Conjecture at ω1), together with Bounded Martin's Maximum implies that Woodin's principle $\psi_{AC}$ holds, and therefore 2ℵ0 = ℵ2. We also prove that $\psi_{AC}$ implies that every function $f: \omega_1 \rightarrow \omega_1$ is bounded by some canonical function on a club and use this to produce a model of the Bounded Semiproper Forcing Axiom in which Bounded Martin's Maximum (...)
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  5.  48
    Large cardinals and locally defined well-orders of the universe.David Asperó & Sy-David Friedman - 2009 - Annals of Pure and Applied Logic 157 (1):1-15.
    By forcing over a model of with a class-sized partial order preserving this theory we produce a model in which there is a locally defined well-order of the universe; that is, one whose restriction to all levels H is a well-order of H definable over the structure H, by a parameter-free formula. Further, this forcing construction preserves all supercompact cardinals as well as all instances of regular local supercompactness. It is also possible to define variants of this construction which, in (...)
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  6.  21
    Incompatible bounded category forcing axioms.David Asperó & Matteo Viale - 2022 - Journal of Mathematical Logic 22 (2).
    Journal of Mathematical Logic, Volume 22, Issue 02, August 2022. We introduce bounded category forcing axioms for well-behaved classes [math]. These are strong forms of bounded forcing axioms which completely decide the theory of some initial segment of the universe [math] modulo forcing in [math], for some cardinal [math] naturally associated to [math]. These axioms naturally extend projective absoluteness for arbitrary set-forcing — in this situation [math] — to classes [math] with [math]. Unlike projective absoluteness, these higher bounded category forcing (...)
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  7.  24
    Separating club-guessing principles in the presence of fat forcing axioms.David Asperó & Miguel Angel Mota - 2016 - Annals of Pure and Applied Logic 167 (3):284-308.
  8. Definable well-orders of $H(\omega _2)$ and $GCH$.David Asperó & Sy-David Friedman - 2012 - Journal of Symbolic Logic 77 (4):1101-1121.
    Assuming ${2^{{N_0}}}$ = N₁ and ${2^{{N_1}}}$ = N₂, we build a partial order that forces the existence of a well-order of H(ω₂) lightface definable over ⟨H(ω₂), Є⟩ and that preserves cardinal exponentiation and cofinalities.
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  9.  33
    Dependent choice, properness, and generic absoluteness.David Asperó & Asaf Karagila - forthcoming - Review of Symbolic Logic:1-25.
    We show that Dependent Choice is a sufficient choice principle for developing the basic theory of proper forcing, and for deriving generic absoluteness for the Chang model in the presence of large cardinals, even with respect to $\mathsf {DC}$ -preserving symmetric submodels of forcing extensions. Hence, $\mathsf {ZF}+\mathsf {DC}$ not only provides the right framework for developing classical analysis, but is also the right base theory over which to safeguard truth in analysis from the independence phenomenon in the presence of (...)
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  10.  22
    Bounded forcing axioms and the continuum.David Asperó & Joan Bagaria - 2001 - Annals of Pure and Applied Logic 109 (3):179-203.
    We show that bounded forcing axioms are consistent with the existence of -gaps and thus do not imply the Open Coloring Axiom. They are also consistent with Jensen's combinatorial principles for L at the level ω2, and therefore with the existence of an ω2-Suslin tree. We also show that the axiom we call BMM3 implies 21=2, as well as a stationary reflection principle which has many of the consequences of Martin's Maximum for objects of size 2. Finally, we give an (...)
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  11.  18
    Adding many Baumgartner clubs.David Asperó - 2017 - Archive for Mathematical Logic 56 (7-8):797-810.
    I define a homogeneous \–c.c. proper product forcing for adding many clubs of \ with finite conditions. I use this forcing to build models of \=\aleph _2\), together with \\) and \ large and with very strong failures of club guessing at \.
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  12.  38
    Dense non-reflection for stationary collections of countable sets.David Asperó, John Krueger & Yasuo Yoshinobu - 2010 - Annals of Pure and Applied Logic 161 (1):94-108.
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  13.  20
    Guessing and non-guessing of canonical functions.David Asperó - 2007 - Annals of Pure and Applied Logic 146 (2):150-179.
    It is possible to control to a large extent, via semiproper forcing, the parameters measuring the guessing density of the members of any given antichain of stationary subsets of ω1 . Here, given a pair of ordinals, we will say that a stationary set Sω1 has guessing density if β0=γ and , where γ is, for every stationary S*ω1, the infimum of the set of ordinals τ≤ω1+1 for which there is a function with ot)<τ for all νS* and with {νS*:gF} (...)
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  14.  14
    Coding by club-sequences.David Asperó - 2006 - Annals of Pure and Applied Logic 142 (1):98-114.
    Given any subset A of ω1 there is a proper partial order which forces that the predicate xA and the predicate xω1A can be expressed by -provably incompatible Σ3 formulas over the structure Hω2,,NSω1. Also, if there is an inaccessible cardinal, then there is a proper partial order which forces the existence of a well-order of Hω2 definable over Hω2,,NSω1 by a provably antisymmetric Σ3 formula with two free variables. The proofs of these results involve a technique for manipulating the (...)
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  15.  34
    Forcing lightface definable well-orders without the GCH.David Asperó, Peter Holy & Philipp Lücke - 2015 - Annals of Pure and Applied Logic 166 (5):553-582.
  16.  12
    Few new reals.David Asperó & Miguel Angel Mota - 2023 - Journal of Mathematical Logic 24 (2).
    We introduce a new method for building models of [Formula: see text], together with [Formula: see text] statements over [Formula: see text], by forcing. Unlike other forcing constructions in the literature, our construction adds new reals, although only [Formula: see text]-many of them. Using this approach, we build a model in which a very strong form of the negation of Club Guessing at [Formula: see text] known as [Formula: see text] holds together with [Formula: see text], thereby answering a well-known (...)
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  17.  26
    Baumgartnerʼs conjecture and bounded forcing axioms.David Asperó, Sy-David Friedman, Miguel Angel Mota & Marcin Sabok - 2013 - Annals of Pure and Applied Logic 164 (12):1178-1186.
  18.  28
    A forcing notion collapsing $\aleph _3 $ and preserving all other cardinals.David Asperó - 2018 - Journal of Symbolic Logic 83 (4):1579-1594.
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  19.  22
    Bounded Martin’s Maximum with an Asterisk.David Asperó & Ralf Schindler - 2014 - Notre Dame Journal of Formal Logic 55 (3):333-348.
    We isolate natural strengthenings of Bounded Martin’s Maximum which we call ${\mathsf{BMM}}^{*}$ and $A-{\mathsf{BMM}}^{*,++}$, and we investigate their consequences. We also show that if $A-{\mathsf{BMM}}^{*,++}$ holds true for every set of reals $A$ in $L$, then Woodin’s axiom $$ holds true. We conjecture that ${\mathsf{MM}}^{++}$ implies $A-{\mathsf{BMM}}^{*,++}$ for every $A$ which is universally Baire.
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  20.  27
    Forcing notions in inner models.David Asperó - 2009 - Archive for Mathematical Logic 48 (7):643-651.
    There is a partial order ${\mathbb{P}}$ preserving stationary subsets of ω 1 and forcing that every partial order in the ground model V that collapses a sufficiently large ordinal to ω 1 over V also collapses ω 1 over ${V^{\mathbb{P}}}$ . The proof of this uses a coding of reals into ordinals by proper forcing discovered by Justin Moore and a symmetric extension of the universe in which the Axiom of Choice fails. Also, using one feature of the proof of (...)
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  21.  19
    On a convenient property about $${[\gamma]^{\aleph_0}}$$.David Asperó - 2009 - Archive for Mathematical Logic 48 (7):653-677.
    Several situations are presented in which there is an ordinal γ such that ${\{ X \in [\gamma]^{\aleph_0} : X \cap \omega_1 \in S\,{\rm and}\, ot(X) \in T \}}$ is a stationary subset of ${[\gamma]^{\aleph_0}}$ for all stationary ${S, T\subseteq \omega_1}$ . A natural strengthening of the existence of an ordinal γ for which the above conclusion holds lies, in terms of consistency strength, between the existence of the sharp of ${H_{\omega_2}}$ and the existence of sharps for all reals. Also, an (...)
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  22.  16
    Retraction – measuring club-sequences together with the continuum large.David Asperó & Miguel Angel Mota - 2022 - Journal of Symbolic Logic 87 (2):870-870.
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  23.  17
    Reducibility of Equivalence Relations Arising from Nonstationary Ideals under Large Cardinal Assumptions.David Asperó, Tapani Hyttinen, Vadim Kulikov & Miguel Moreno - 2019 - Notre Dame Journal of Formal Logic 60 (4):665-682.
    Working under large cardinal assumptions such as supercompactness, we study the Borel reducibility between equivalence relations modulo restrictions of the nonstationary ideal on some fixed cardinal κ. We show the consistency of Eλ-clubλ++,λ++, the relation of equivalence modulo the nonstationary ideal restricted to Sλλ++ in the space λ++, being continuously reducible to Eλ+-club2,λ++, the relation of equivalence modulo the nonstationary ideal restricted to Sλ+λ++ in the space 2λ++. Then we show that for κ ineffable Ereg2,κ, the relation of equivalence modulo (...)
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  24.  4
    On a convenient property about \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${[\gamma]^{\aleph_0}}$$\end{document}. [REVIEW]David Asperó - 2009 - Archive for Mathematical Logic 48 (7):653-677.
    Several situations are presented in which there is an ordinal γ such that \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\{ X \in [\gamma]^{\aleph_0} : X \cap \omega_1 \in S\,{\rm and}\, ot(X) \in T \}}$$\end{document} is a stationary subset of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${[\gamma]^{\aleph_0}}$$\end{document} for all stationary \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${S, T\subseteq \omega_1}$$\end{document}. A natural strengthening of the existence of an ordinal γ for which the above (...)
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  25. Sameness and Substance Renewed.David Wiggins - 2001 - New York: Cambridge University Press. Edited by David Wiggins.
    In this book, which thoroughly revises and greatly expands his classic work Sameness and Substance, David Wiggins retrieves and refurbishes in the light of twentieth-century logic and logical theory certain conceptions of identity, of substance and of persistence through change that philosophy inherits from its past. In this new version, he vindicates the absoluteness, necessity, determinateness and all or nothing character of identity against rival conceptions. He defends a form of essentialism that he calls individuative essentialism, and then a (...)
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  26. The General Theory of Second Best Is More General Than You Think.David Wiens - 2020 - Philosophers' Imprint 20 (5):1-26.
    Lipsey and Lancaster's "general theory of second best" is widely thought to have significant implications for applied theorizing about the institutions and policies that most effectively implement abstract normative principles. It is also widely thought to have little significance for theorizing about which abstract normative principles we ought to implement. Contrary to this conventional wisdom, I show how the second-best theorem can be extended to myriad domains beyond applied normative theorizing, and in particular to more abstract theorizing about the normative (...)
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  27. The Rhetoric and Reality of Anthropomorphism in Artificial Intelligence.David Watson - 2019 - Minds and Machines 29 (3):417-440.
    Artificial intelligence has historically been conceptualized in anthropomorphic terms. Some algorithms deploy biomimetic designs in a deliberate attempt to effect a sort of digital isomorphism of the human brain. Others leverage more general learning strategies that happen to coincide with popular theories of cognitive science and social epistemology. In this paper, I challenge the anthropomorphic credentials of the neural network algorithm, whose similarities to human cognition I argue are vastly overstated and narrowly construed. I submit that three alternative supervised learning (...)
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  28.  29
    Essays for David Wiggins: identity, truth, and value.David Wiggins, Sabina Lovibond & Stephen G. Williams (eds.) - 1996 - Cambridge: Blackwell.
    A collection of 14 essays honoring the life and work of Oxford philosopher Wiggins touching on topics from ancient philosophy to ethics, metaphysics and the theory of meaning. The contributing scholars debate many of the seminal issues of Wiggins' work, including the determinancy of distinctness, relative identity, naturalism in ethics, logic and truth in moral judgments, and the practical wisdom of Aristotle. The collection uniquely features replies by Wiggins to each of the papers. Annotation copyright by Book News, Inc., Portland, (...)
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  29.  47
    The philosophy of biology.David L. Hull & Michael Ruse (eds.) - 1973 - New York: Oxford University Press.
    Drawing on work of the past decade, this volume brings together articles from the philosophy, history, and sociology of science, and many other branches of the biological sciences. The volume delves into the latest theoretical controversies as well as burning questions of contemporary social importance. The issues considered include the nature of evolutionary theory, biology and ethics, the challenge from religion, and the social implications of biology today (in particular the Human Genome Project).
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  30. David Hume: "the historian".David Wootton - 1993 - In David Fate Norton & Jacqueline Taylor (eds.), The Cambridge Companion to Hume. New York: Cambridge University Press. pp. 281--312.
  31. A Strange Kind of Power: Vetter on the Formal Adequacy of Dispositionalism.David Yates - 2020 - Philosophical Inquiries 8 (1):97-116.
    According to dispositionalism about modality, a proposition <p> is possible just in case something has, or some things have, a power or disposition for its truth; and <p> is necessary just in case nothing has a power for its falsity. But are there enough powers to go around? In Yates (2015) I argued that in the case of mathematical truths such as <2+2=4>, nothing has the power to bring about their falsity or their truth, which means they come out both (...)
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  32. Signs as a Theme in the Philosophy of Mathematical Practice.David Waszek - 2024 - In Bharath Sriraman (ed.), Handbook of the History and Philosophy of Mathematical Practice. Cham: Springer.
    Why study notations, diagrams, or more broadly the variety of nonverbal “representations” or “signs” that are used in mathematical practice? This chapter maps out recent work on the topic by distinguishing three main philosophical motivations for doing so. First, some work (like that on diagrammatic reasoning) studies signs to recover norms of informal or historical mathematical practices that would get lost if the particular signs that these practices rely on were translated away; work in this vein has the potential to (...)
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  33. Color Primitivism.David R. Hilbert & Alex Byrne - 2006 - Erkenntnis 66 (1-2):73 - 105.
    The typical kind of color realism is reductive: the color properties are identified with properties specified in other terms (as ways of altering light, for instance). If no reductive analysis is available — if the colors are primitive sui generis properties — this is often taken to be a convincing argument for eliminativism. That is, realist primitivism is usually thought to be untenable. The realist preference for reductive theories of color over the last few decades is particularly striking in light (...)
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  34.  18
    The Explanation Game: A Formal Framework for Interpretable Machine Learning.David S. Watson & Luciano Floridi - 2021 - In Josh Cowls & Jessica Morley (eds.), The 2020 Yearbook of the Digital Ethics Lab. Springer Verlag. pp. 109-143.
    We propose a formal framework for interpretable machine learning. Combining elements from statistical learning, causal interventionism, and decision theory, we design an idealised explanation game in which players collaborate to find the best explanation for a given algorithmic prediction. Through an iterative procedure of questions and answers, the players establish a three-dimensional Pareto frontier that describes the optimal trade-offs between explanatory accuracy, simplicity, and relevance. Multiple rounds are played at different levels of abstraction, allowing the players to explore overlapping causal (...)
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  35.  40
    "Mathesis of the Mind": A Study of Fichte’s Wissenschaftslehre and Geometry.David W. Wood - 2012 - New York, NY: New York/Amsterdam: Editions Rodopi (Brill Publishers). Fichte-Studien-Supplementa Vol. 29.
    This is an in-depth study of J.G. Fichte’s philosophy of mathematics and theory of geometry. It investigates both the external formal and internal cognitive parallels between the axioms, intuitions and constructions of geometry and the scientific methodology of the Fichtean system of philosophy. In contrast to “ordinary” Euclidean geometry, in his Erlanger Logik of 1805 Fichte posits a model of an “ursprüngliche” or original geometry – that is to say, a synthetic and constructivistic conception grounded in ideal archetypal elements that (...)
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  36. The Virtual and the Real.David J. Chalmers - 2017 - Disputatio 9 (46):309-352.
    I argue that virtual reality is a sort of genuine reality. In particular, I argue for virtual digitalism, on which virtual objects are real digital objects, and against virtual fictionalism, on which virtual objects are fictional objects. I also argue that perception in virtual reality need not be illusory, and that life in virtual worlds can have roughly the same sort of value as life in non-virtual worlds.
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  37.  58
    Fate, Time, and Language: An Essay on Free Will.David Foster Wallace, James Ryerson & Jay Garfield (eds.) - 2010 - New York, NY, USA: Columbia University Press.
    In 1962, the philosopher Richard Taylor used six commonly accepted presuppositions to imply that human beings have no control over the future. David Foster Wallace not only took issue with Taylor's method, which, according to him, scrambled the relations of logic, language, and the physical world, but also noted a semantic trick at the heart of Taylor's argument. _Fate, Time, and Language_ presents Wallace's brilliant critique of Taylor's work. Written long before the publication of his fiction and essays, Wallace's (...)
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  38.  20
    Levels of selection: An alternative to individualism in biology and the human sciences.David Sloan Wilson - 1994 - In Elliott Sober (ed.), Conceptual Issues in Evolutionary Biology. The Mit Press. Bradford Books.
  39.  59
    Grundzüge der theoretischen Logik.David Hilbert & Wilhelm Ackermann - 1972 - Berlin,: Springer. Edited by W. Ackermann.
    Die theoretische Logik, auch mathematische oder symbolische Logik genannt, ist eine Ausdehnung der fonnalen Methode der Mathematik auf das Gebiet der Logik. Sie wendet fUr die Logik eine ahnliche Fonnel­ sprache an, wie sie zum Ausdruck mathematischer Beziehungen schon seit langem gebrauchlich ist. In der Mathematik wurde es heute als eine Utopie gelten, wollte man beim Aufbau einer mathematischen Disziplin sich nur der gewohnlichen Sprache bedienen. Die groBen Fortschritte, die in der Mathematik seit der Antike gemacht worden sind, sind zum (...)
  40.  49
    Trials of reason: Plato and the crafting of philosophy.David Wolfsdorf - 2008 - New York: Oxford University Press.
    Interpretation -- Introduction -- Interpreting Plato -- The political culture of Plato's early dialogues -- Dialogue -- Character and history -- The mouthpiece principle -- Forms of evidence -- Desire -- Socrates and eros -- The subjectivist conception of desire -- Instrumental and terminal desire -- Rational and irrational desires -- Desire in the critique of Akrasia -- Interpreting Lysis -- The deficiency conception of desire -- Inauthentic friendship -- Platonic desire -- Antiphilosophical desires -- Knowledge -- Excellence as wisdom (...)
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  41.  55
    A More "Inclusive" Approach to Enhancement and Disability.David Wasserman & Stephen M. Campbell - 2017 - In Jessica Flanigan & Terry Price (eds.), The Ethics of Ability and Enhancement. Palgrave-Macmillan. pp. 25-38.
  42.  13
    The Visual Brain in Action.David Milner & Mel Goodale - 2006 - Oxford University Press.
    First published in 1995, The Visual Brain in Action remains a seminal publication in the cognitive sciences. For this new edition, a very substantial and illustrated epilogue has been added to the book in which Milner and Goodale review the key developments that support or challenge the views that were put forward in the first edition.
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  43.  24
    Japan and the enemies of open political science.David Williams - 1996 - New York: Routledge.
    Japan and the Enemies of Open Political Science argues that Eurocentric blindness is a scientific failing, not a moral one. In a way true of no other political system, Japan's greatness has the potential to enliven and reform almost all the main branches of Western Political Science. David Williams criticizes Western social science, Anglo-American Philosophy and French Theory and explains why mainstream economists, historians of political thought and postculturalists have ignored Japan's modern achievements. Williams demonstrates why the renewal of (...)
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  44.  20
    Research on human subjects: ethics, law, and social policy.David N. Weisstub (ed.) - 1998 - Kidlington, Oxford, UK: Pergamon Press.
    There have been serious controversies in the latter part of the 20th century about the roles and functions of scientific and medical research. In whose interests are medical and biomedical experiments conducted and what are the ethical implications of experimentation on subjects unable to give competent consent? From the decades following the Second World War and calls for the global banning of medical research to the cautious return to the notion that in controlled circumstances, medical research on human subjects is (...)
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  45.  10
    Ethics, law, and military operations.David Whetham (ed.) - 2011 - New York, NY: Palgrave-Macmillan.
    While there are many legal textbooks on the laws of armed conflict and academic works on ethical issues in international relations, this is the first text on the relevance of legal and normative issues in military practice. It covers the entire spectrum of military operations and is written with military deicision-makers particularly in mind.
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  46. Following Derrida.David Wood - 1987 - In John Sallis (ed.), Deconstruction and philosophy: the texts of Jacques Derrida. Chicago: University of Chicago Press. pp. 143--160.
     
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  47. The Political Resource Curse: An Empirical Re-Evaluation.David Wiens, Paul Poast & William Roberts Clark - 2014 - Political Research Quarterly 67 (4):783-794.
    Extant theoretical work on the political resource curse implies that dependence on resource revenues should decrease autocracies’ likelihood of democratizing but not necessarily affect democracies’ chances of survival. Yet most previous empirical studies estimate models that are ill-suited to address this claim. We improve upon earlier studies, estimating a dynamic logit model that interacts a continuous measure of resource dependence with an indicator of regime type using data from 166 countries, covering the period from 1816-2006. We find that an increase (...)
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  48. Remembering directly.David Wiggins - 1992 - In Psychoanalysis, Mind and Art. Cambridge: Blackwell.
     
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  49. Introduction.David F. Wright - 1978 - In Essays in evangelical social ethics. Wilton, Conn.: Morehouse-Barlow Co..
     
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  50. “Moral relativism” revised version.David B. Wong - 1992 - In Lawrence C. Becker & Charlotte B. Becker (eds.), Encyclopedia of ethics. New York: Routledge. pp. 2--1164.
     
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