Results for ' projective ordinals'

995 found
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  1.  50
    On projective ordinals.Alexander S. Kechris - 1974 - Journal of Symbolic Logic 39 (2):269-282.
  2.  18
    Systems of iterated projective ordinal notations and combinatorial statements about binary labeled trees.L. Gordeev - 1989 - Archive for Mathematical Logic 29 (1):29-46.
    We introduce the appropriate iterated version of the system of ordinal notations from [G1] whose order type is the familiar Howard ordinal. As in [G1], our ordinal notations are partly inspired by the ideas from [P] where certain crucial properties of the traditional Munich' ordinal notations are isolated and used in the cut-elimination proofs. As compared to the corresponding “impredicative” Munich' ordinal notations (see e.g. [B1, B2, J, Sch1, Sch2, BSch]), our ordinal notations arearbitrary terms in the appropriate simple term (...)
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  3.  8
    Wadge degrees and projective ordinals. The Cabal Seminar, Volume II, edited by A. S. Kechris, B. Löwe, and J.R. Steel, Lecture Notes in Logic, vol. 37. Association for Symbolic Logic and Cambridge University Press, Cambridge, 2012, xxii + 526 pp. [REVIEW]Grigor Sargsyan - 2013 - Bulletin of Symbolic Logic 19 (4):492-496.
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  4.  15
    Thin collections of sets of projective ordinals and analogs of L.Howard Becker - 1980 - Annals of Mathematical Logic 19 (3):205-241.
  5.  4
    Thin collections of sets of projective ordinals and analogs of L.Howard Becker - 1980 - Annals of Mathematical Logic 19 (3):205.
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  6.  63
    Donald A. Martin. The largest countable this, that, and the other. Cabal seminar 79–81, Proceedings, Caltech-UCLA Logic Seminar 1979–81, edited by A. S. Kechris, D. A. Martin, and Y. N. Moschovakis, Lecture notes in mathematics, vol. 1019, Springer-Verlag, Berlin, Heidelberg, New York, and Tokyo, 1983, pp. 97–106. - Alexander S. Kechris, Donald A. Martin, and Robert M. Solovay. Introduction to Q-theory. Cabal seminar 79–81, Proceedings, Caltech-UCLA Logic Seminar 1979–81, edited by A. S. Kechris, D. A. Martin, and Y. N. Moschovakis, Lecture notes in mathematics, vol. 1019, Springer-Verlag, Berlin, Heidelberg, New York, and Tokyo, 1983, pp. 199–282. - Steve Jackson. AD and the projective ordinals. Cabal seminar 81–85, Proceedings, Caltech-UCLA Logic Seminar 1981–85, edited by A. S. Kechris, D. A. Martin, and J. R. Steel, Lecture notes in mathematics, vol. 1333, Springer-Verlag, Berlin, Heidelberg, New York, etc., 1988, pp. 117–220. [REVIEW]Sy D. Friedman - 1992 - Journal of Symbolic Logic 57 (1):262-264.
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  7.  26
    Review: Donald A. Martin, A. S. Kechris, D. A. Martin, Y. N. Moschovakis, The Largest Countable this, that, and the other; Alexander S. Kechris, Donald A. Martin, Robert M. Solovay, Introduction to $Q$-Theory; Steve Jackson, A. S. Kechris, D. A. Martin, J. R. Steel, AD and the Projective Ordinals[REVIEW]Sy D. Friedman - 1992 - Journal of Symbolic Logic 57 (1):262-264.
  8.  14
    Projective prewellorderings vs projective wellfounded relations.Xianghui Shi - 2009 - Journal of Symbolic Logic 74 (2):579-596.
    We show that it is relatively consistent with ZFC that there is a projective wellfounded relation with rank higher than all projective prewellorderings.
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  9.  38
    Some applications of ordinal dimensions to the theory of differentially closed fields.Wai Yan Pong - 2000 - Journal of Symbolic Logic 65 (1):347-356.
    Using the Lascar inequalities, we show that any finite rank δ-closed subset of a quasiprojective variety is definably isomorphic to an affine δ-closed set. Moreover, we show that if X is a finite rank subset of the projective space P n and a is a generic point of P n , then the projection from a is injective on X. Finally we prove that if RM = RC in DCF 0 , then RM = RU.
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  10.  16
    Siepm Project: Report on the Repertory of Commentaries on Peter Lombard’s Sentences.William J. Courtenay - 2012 - Bulletin de Philosophie Medievale 54:55-57.
    This report recounts three developments during the last two years of the SIEPM Project to revise and complete the repertory of commentaries on Peter Lombard’s Sentences published by Friedrich Stegmüller in 1947. The chronological sections of the project have been established, and scholars have been assigned to lead them. A centralized administration for the Project is now located in Freiburg im Breisgau, which will co-ordinate the various sections and preserve their findings, as well as facilitate and oversee the various editorial (...)
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  11.  17
    Supercompactness within the Projective Hierarchy.Howard Becker & Steve Jackson - 2001 - Journal of Symbolic Logic 66 (2):658-672.
    We show that all the projective ordinals $\delta^1_n$ are supercompact through their supremum $\aleph_{\varepsilon 0}$, and a ways beyond.
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  12. Wittgenstein’s Tractatus Project as Philosophy of Information.R. A. Young - 2004 - Minds and Machines 14 (1):119-132.
    It is argued that the Tractatus Project of Logical Atomism, in which the world is conceived of as the totality of independent atomic facts, can usefully be understood by conceiving of each fact as a bit in logical space. Wittgenstein himself thinks in terms of logical space. His elementary propositions, which express atomic facts, are interpreted as tuples of co-ordinates which specify the location of a bit in logical space. He says that signs for elementary propositions are arrangements of names. (...)
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  13. Clarence I. Lewis, Il pensiero e l'ordine del mondo, a cura di Sergio Cremaschi.Clarence Irving Lewis & Sergio Volodia Marcello Cremaschi - 1977 - Torino, Italy: Rosenberg & Sellier.
    The editor's introduction discusses Clarence I. Lewis's conceptual pragmatism when compared with post-empiricist epistemology and argues that several Cartesian assumptions play a major role in the work, not unlike those of Logical Positivism. The suggestion is made that the Cartesian legacy still hidden in Logical Positivism turns out to be a rather heavy ballast for Lewis’s project of restructuring epistemology in a pragmatist key. More in detail, the sore point is the nature of inter-subjectivity. For Lewis, no less than for (...)
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  14.  13
    The usefulness of the useless.Nuccio Ordine - 2017 - Philadelphia: Paul Dry Books.
    “A little masterpiece of originality and clarity.”—George Steiner “A necessary book.”—Roberto Saviano “A wonderful little book that will delight you.”—François Busnel International Best Seller / Now in English for the First Time In this thought-provoking and extremely timely work, Nuccio Ordine convincingly argues for the utility of useless knowledge and against the contemporary fixation on utilitarianism—for the fundamental importance of the liberal arts and against the damage caused by their neglect. Inspired by the reflections of great philosophers and writers (e.g., (...)
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  15.  18
    BPFA and projective well-orderings of the reals.Andrés Eduardo Caicedo & Sy-David Friedman - 2011 - Journal of Symbolic Logic 76 (4):1126-1136.
    If the bounded proper forcing axiom BPFA holds and ω 1 = ${\mathrm{\omega }}_{1}^{\mathrm{L}}$ , then there is a lightface ${\mathrm{\Sigma }}_{3}^{1}$ well-ordering of the reals. The argument combines a well-ordering due to Caicedo-Veličković with an absoluteness result for models of MA in the spirit of "David's trick." We also present a general coding scheme that allows us to show that BPFA is equiconsistent with R being lightface ${\mathrm{\Sigma }}_{4}^{1}$ , for many "consistently locally certified" relations R on $\mathrm{\mathbb{R}}$ . (...)
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  16.  5
    Contro il vangelo armato: Giordano Bruno, Ronsard e la religione.Nuccio Ordine - 2007 - Milano: R. Cortina.
  17.  22
    Giordano Bruno and the philosophy of the ass.Nuccio Ordine - 1996 - New Haven: Yale University Press.
    In this highly original study, Nuccio Ordine uses the figure of the ass as a lens through which to focus on the thought and writings of the great Renaissance humanist philosopher Giordano Bruno.
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  18.  3
    The mouse set theorem just past projective.Mitch Rudominer - forthcoming - Journal of Mathematical Logic.
    We identify a particular mouse, [Formula: see text], the minimal ladder mouse, that sits in the mouse order just past [Formula: see text] for all [Formula: see text], and we show that [Formula: see text], the set of reals that are [Formula: see text] in a countable ordinal. Thus [Formula: see text] is a mouse set. This is analogous to the fact that [Formula: see text] where [Formula: see text] is the sharp for the minimal inner model with a Woodin (...)
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  19.  5
    La cabala dell'asino: asinità e conoscenza in Giordano Bruno.Nuccio Ordine - 1987 - Napoli: Liguori.
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  20.  27
    Perception of speech rhythm in second language: the case of rhythmically similar L1 and L2.Mikhail Ordin & Leona Polyanskaya - 2015 - Frontiers in Psychology 6.
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  21. The Comic and Philosophy: Plato's Philebus and Bruno's Candle-bearer.Nuccio Ordine - 2013 - In Anne Eusterschulte & Henning S. Hufnagel (eds.), Turning traditions upside down: rethinking Giordano Bruno's enlightenment. New York: Central European University Press. pp. 151.
     
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  22.  35
    Adams, Frederick and Kenneth Aizawa Fodor's Asymmetric Causal Dependency Theory and Proximal Projections Allen, Robert F.Moral Obligation, Projecting Political Correctness & Is Smith Obligated That She - 1997 - Southern Journal of Philosophy 35 (4):571-573.
  23.  12
    The Essential Peirce, Volume 2: Selected Philosophical Writings.Peirce Edition Project (ed.) - 1992 - Indiana University Press.
    Praise for Volume 1: "... a first-rate edition, which supersedes all other portable Peirces.... all the Peirce most people will ever need." —Louis Menand, The New York Review of Books Volume 2 of this convenient two-volume chronological reader’s edition provides the first comprehensive anthology of the brilliant American thinker Charles Sanders Peirce’s mature philosophy. A central focus of Volume 2 is Peirce’s evolving theory of signs and its appplication to his pragmatism.
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  24.  14
    Bentham and Australia: Convicts, Utility, and Empire.Bentham Project - 2018 - Revue D’Études Benthamiennes 14.
    The Bentham Project is delighted to announce a call for papers for “Bentham and Australia: Convicts, Utility, and Empire”, a conference to be held at University College London on 11-12 April 2019 to mark the forthcoming publication of Writings on Australia, a volume of The Collected Works of Jeremy Bentham. The conference will explore themes such as the influence and impact of Bentham’s ideas on the theory and practice of punishment in convict Australia, on advocates and opponents of co...
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  25.  14
    Writings of Charles S. Peirce: A Chronological Edition, Volume 8: 1890–1892.Peirce Edition Project (ed.) - 2009 - Indiana University Press.
    Volume 8 of this landmark edition follows Peirce from May 1890 through July 1892—a period of turmoil as his career unraveled at the U.S. Coast and Geodetic Survey. The loss of his principal source of income meant the beginning of permanent penury and a lifelong struggle to find gainful employment. His key achievement during these years is his celebrated Monist metaphysical project, which consists of five classic articles on evolutionary cosmology. Also included are reviews and essays from The Nation in (...)
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  26. Relativity.Transpositions Projections - 1996 - In J. Gumperz & S. Levinson (eds.), Rethinking Linguistic Relativity. Cambridge University Press. pp. 271--323.
     
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  27.  49
    The Essential Peirce, Volume 2: Selected Philosophical Writings (1893-1913).Peirce Edition Project (ed.) - 1992 - Indiana University Press.
    Praise for Volume 1: "... a first-rate edition, which supersedes all other portable Peirces.... all the Peirce most people will ever need." —Louis Menand, The New York Review of Books Volume 2 of this convenient two-volume chronological reader’s edition provides the first comprehensive anthology of the brilliant American thinker Charles Sanders Peirce’s mature philosophy. A central focus of Volume 2 is Peirce’s evolving theory of signs and its appplication to his pragmatism.
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  28.  4
    Cine y filosofía: las entrevistas de Fata Morgana.Emilio Bernini, Roberto De Gaetano, Daniele Dottorini & Nuccio Ordine (eds.) - 2015 - Buenos Aires, Argentina: El Cuenco de Plata.
    Pensar en el cine como ocasión y potencia del pensamiento significa en efecto, en primer lugar, sustraer la imagen contemporánea del dominio de los estudios especializados y, en segundo lugar, pensar a partir de aquello que el cine crea (como recordaba Deleuze): esto es, las imágenes mismas. El cine redescubre su potencia a través de sus propias formas. Entrevistas de la revista italiana Fata Morgana con: Jacques Rancière, Roberto Esposito, Jean-luc Nancy, Slavoj Zizek, Julia Kristeva, Werner Herzog, Raúl Ruiz, Yervant (...)
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  29. Incipit quarta distinctio sub qua continentur nouem significationes ternarii cum capitulis suis.I. Coaptatio, Ternarii Ad Ordines Fidelium, Secundum Antiquam Distributionem, Mundiales In Presidentes, In Recedentes, Mundiales Ab Agricolantibus Iacentibus, A. Molentibus Presidentes, Iv Rursum Quibus A. Personis Quos, Eadem Theologia & Coetcurn Mundialibus - 1999 - Cahiers de l'Institut du Moyen-Âge Grec Et Latin 69:111.
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  30.  3
    Language, Logic, and Science in India: Some Conceptual and Historical Perspectives.D. P. Chattopadhyaya, Philosophy Culture Project of History of Indian Science & Indian Council of Philosophical Research - 1995
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  31.  15
    The Other Languages of England.Malcolm Petyt & Linguistic Minorities Project - 1986 - British Journal of Educational Studies 34 (3):288.
  32. Rm avakov iť. zagefka Paris.de L'education Dans la Place, A. Long Les Projections & Terme du Developpement - 1980 - Paideia 8:156.
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  33.  36
    The weak square property.Steve Jackson - 2001 - Journal of Symbolic Logic 66 (2):640-657.
    We formulate and prove a combinatorial property assuming AD + V = L(R). As a consequence, we show that every regular κ which is either a Suslin cardinal or the successor of a Suslin cardinal is δ 2 1 -supercompact. In particular, all the projective ordinals δ 1 n are δ 2 1 -supercompact.
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  34.  57
    Canonical measure assignments.Steve Jackson & Benedikt Löwe - 2013 - Journal of Symbolic Logic 78 (2):403-424.
    We work under the assumption of the Axiom of Determinacy and associate a measure to each cardinal $\kappa < \aleph_{\varepsilon_0}$ in a recursive definition of a canonical measure assignment. We give algorithmic applications of the existence of such a canonical measure assignment (computation of cofinalities, computation of the Kleinberg sequences associated to the normal ultrafilters on all projective ordinals).
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  35.  16
    Sets, Set Sizes, and Infinity in Badiou's Being and Event.Tzuchien Tho - 2020 - Filozofski Vestnik 41 (2).
    This paper argues that Cantorian transfinite cardinality is not a necessary assumption for the ontological claims in Badiou’s L’Être et l’Événement. The necessary structure for Badiou’s mathematical ontology in this work was only the ordinality of sets. The method for reckoning the sizes of sets was only assumed to follow the standard Cantorian measure. In the face of different and compelling forms of measuring non-finite sets, it is argued that Badiou’s project can indeed accommodate this pluralism of measurement. In turn, (...)
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  36.  54
    Reverse mathematics and well-ordering principles: A pilot study.Bahareh Afshari & Michael Rathjen - 2009 - Annals of Pure and Applied Logic 160 (3):231-237.
    The larger project broached here is to look at the generally sentence “if X is well-ordered then f is well-ordered”, where f is a standard proof-theoretic function from ordinals to ordinals. It has turned out that a statement of this form is often equivalent to the existence of countable coded ω-models for a particular theory Tf whose consistency can be proved by means of a cut elimination theorem in infinitary logic which crucially involves the function f. To illustrate (...)
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  37. Set Theory and its Philosophy: A Critical Introduction.Michael D. Potter - 2004 - Oxford, England: Oxford University Press.
    Michael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. Potter offers a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates. He discusses in detail the project of set-theoretic reduction, which aims to interpret the rest of mathematics in terms of set theory. The key question here is how to deal with the paradoxes that bedevil set (...)
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  38. Proof theory in philosophy of mathematics.Andrew Arana - 2010 - Philosophy Compass 5 (4):336-347.
    A variety of projects in proof theory of relevance to the philosophy of mathematics are surveyed, including Gödel's incompleteness theorems, conservation results, independence results, ordinal analysis, predicativity, reverse mathematics, speed-up results, and provability logics.
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  39. Normative Uncertainty as a Voting Problem.William MacAskill - 2016 - Mind 125 (500):967-1004.
    Some philosophers have recently argued that decision-makers ought to take normative uncertainty into account in their decisionmaking. These philosophers argue that, just as it is plausible that we should maximize expected value under empirical uncertainty, it is plausible that we should maximize expected choice-worthiness under normative uncertainty. However, such an approach faces two serious problems: how to deal with merely ordinal theories, which do not give sense to the idea of magnitudes of choice-worthiness; and how, even when theories do give (...)
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  40.  16
    Caring for Landscapes of Justice in Perilous Settler Environments.Mishuana Goeman - 2024 - The Pluralist 19 (1):50-63.
    In lieu of an abstract, here is a brief excerpt of the content:Caring for Landscapes of Justice in Perilous Settler EnvironmentsMishuana Goemanindians are the "singing remnants" or "graffiti," in the words of Leanne Betasamosake Simpson ("i am graffiti"). The forms this graffiti takes, our inscriptions on the landscape, are as numerous as our Nations, abundant as our ancestors who loved, lived, and passed down knowledge of our lands and histories. "You are the result of the love of thousands," writes Linda (...)
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  41.  36
    Semantic Information and the Syntax of Propositional Attitude Verbs.Aaron S. White, Valentine Hacquard & Jeffrey Lidz - 2018 - Cognitive Science 42 (2):416-456.
    Propositional attitude verbs, such as think and want, have long held interest for both theoretical linguists and language acquisitionists because their syntactic, semantic, and pragmatic properties display complex interactions that have proven difficult to fully capture from either perspective. This paper explores the granularity with which these verbs’ semantic and pragmatic properties are recoverable from their syntactic distributions, using three behavioral experiments aimed at explicitly quantifying the relationship between these two sets of properties. Experiment 1 gathers a measure of 30 (...)
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  42.  9
    A New Theory of Urban Design.Christopher Alexander - 1987 - Center for Environmental Struc.
    The venerable cities of the past, such as Venice or Amsterdam, convey a feeling of wholeness, an organic unity that surfaces in every detail, large and small, in restaurants, shops, public gardens, even in balconies and ornaments. But this sense of wholeness is lacking in modern urban design, with architects absorbed in problems of individual structures, and city planners preoccupied with local ordinances, it is almost impossible to achieve. In this groundbreaking volume, architect and planner Christopher Alexander presents a new (...)
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  43.  33
    Constraining (mathematical) imagination by experience: Nieuwentijt and van Musschenbroek on the abuses of mathematics.Steffen Ducheyne - 2019 - Synthese 196 (9):3595-3613.
    Like many of their contemporaries Bernard Nieuwentijt and Pieter van Musschenbroek were baffled by the heterodox conclusions which Baruch Spinoza drew in the Ethics. As the full title of the Ethics—Ethica ordine geometrico demonstrata—indicates, these conclusions were purportedly demonstrated in a geometrical order, i.e. by means of pure mathematics. First, I highlight how Nieuwentijt tried to immunize Spinoza’s worrisome conclusions by insisting on the distinction between pure and mixed mathematics. Next, I argue that the anti-Spinozist underpinnings of Nieuwentijt’s distinction between (...)
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  44.  21
    On analyzability in the forking topology for simple theories.Ziv Shami - 2006 - Annals of Pure and Applied Logic 142 (1):115-124.
    We show that in a simple theory T in which the τf-topologies are closed under projections every type analyzable in a supersimple τf-open set has ordinal SU-rank. In particular, if in addition T is unidimensional, the existence of a supersimple unbounded τf-open set implies T is supersimple. We also introduce the notion of a standard τ-metric and show that for simple theories its completeness is equivalent to the compactness of the τ-topology.
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  45. Food Sovereignty in the City: Challenging Historical Barriers to Food Justice.Samantha Noll - 2017 - In Ian Werkheiser & Zachary Piso (eds.), Food Justice in Us and Global Contexts: Bringing Theory and Practice Together. Cham: Springer Verlag.
    Local food initiatives are steadily becoming a part of contemporary cities around the world and can take on many forms. While some of these initiatives are concerned with providing consumers with farm-fresh produce, a growing portion are concerned with increasing the food sovereignty of marginalized urban communities. This chapter provides an analysis of urban contexts with the aim of identifying conceptual barriers that may act as roadblocks to achieving food sovereignty in cities. Specifically, this paper argues that taken for granted (...)
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  46.  16
    Business integrity in transitional economies: Central & eastern europe.David J. Murray & Marek Kucia - 1995 - Business Ethics, the Environment and Responsibility 4 (2):76–82.
    What are the ethical concerns among the growing populations of business people in Central & Eastern Europe, and how might they be dealt with practically in the course of business life? David Murray has been a management consultant since 1979 working primarily with the Hay Group in the area of strategic organisational change. Since founding Maine Consulting Services in 1991 he spends most of his time in the field of business and professional ethics, also holding a Visiting Fellowship at the (...)
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  47.  38
    Did Habermas Cede Nature to the Positivists?Gordon R. Mitchell - 2003 - Philosophy and Rhetoric 36 (1):1-21.
    In lieu of an abstract, here is a brief excerpt of the content:Philosophy and Rhetoric 36.1 (2003) 1-21 [Access article in PDF] Did Habermas Cede Nature to the Positivists? Gordon R. Mitchell Jürgen Habermas's "colonization of the lifeworld" thesis (1987, 332-73) posits that many of society's pathologies are due to the tendency of institutions to convert social issues that ought to be sorted out by a debating citizenry into technical problems ripe for resolution by expert bureaucracies, thus pre-empting important public (...)
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  48.  13
    Governance of research consortia: challenges of implementing Responsible Research and Innovation within Europe.Jane Kaye, Sarah Coy, Heather Gowans, Miranda Mourby & Michael Morrison - 2020 - Life Sciences, Society and Policy 16 (1):1-19.
    Responsible Research and Innovation (‘RRI’) is a cross-cutting priority for scientific research in the European Union and beyond. This paper considers whether the way such research is organised and delivered lends itself to the aims of RRI. We focus particularly on international consortia, which have emerged as a common model to organise large-scale, multi-disciplinary research in contemporary biomedical science. Typically, these consortia operate through fixed-term contracts, and employ governance frameworks consisting of reasonably standard, modular components such as management committees, advisory (...)
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  49.  9
    Determinants of Supply Chain Engagement in Carbon Management.Katrina Lintukangas, Heli Arminen, Anni-Kaisa Kähkönen & Elina Karttunen - 2022 - Journal of Business Ethics 186 (1):87-104.
    To fight climate change, firms must adopt effective and feasible carbon management practices that promote collaboration within supply chains. Engaging suppliers and customers on carbon management reduces vulnerability to climate-related risks and increases resilience and adaptability in supply chains. Therefore, it is important to understand the motives and preconditions for pursuing supply chain engagement from companies that actively engage with supply chain members in carbon management. In this study, a relational view is applied to operationalize the supply chain engagement concept (...)
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  50. A Retributive Argument Against Punishment.Greg Roebuck & David Wood - 2011 - Criminal Law and Philosophy 5 (1):73-86.
    This paper proposes a retributive argument against punishment, where punishment is understood as going beyond condemnation or censure, and requiring hard treatment. The argument sets out to show that punishment cannot be justified. The argument does not target any particular attempts to justify punishment, retributive or otherwise. Clearly, however, if it succeeds, all such attempts fail. No argument for punishment is immune from the argument against punishment proposed here. The argument does not purport to be an argument only against retributive (...)
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