Results for 'equal division solution'

986 found
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  1.  37
    Simon Stevin's equal division of the octave.H. Floris Cohen - 1987 - Annals of Science 44 (5):471-488.
    Many pioneers of the Scientific Revolution such as Galileo, Kepler, Stevin, Descartes, Mersenne, and others, wrote extensively about musical theory. This was not a chance interest of a few individual scientists. Rather, it reflects a continuing concern of scientists from Pythagorean times onwards to solve certain quantifiable problems in musical theory. One of the issues involved was technically known as ‘the division of the octave’, the problem, that is, of which notes to make music with. Simon Stevin's contribution to (...)
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  2.  73
    Axiomatizations of a Class of Equal Surplus Sharing Solutions for TU-Games.René van den Brink & Yukihiko Funaki - 2009 - Theory and Decision 67 (3):303-340.
    A situation, in which a finite set of players can obtain certain payoffs by cooperation can be described by a cooperative game with transferable utility, or simply a TU-game. A (point-valued) solution for TU-games assigns a payoff distribution to every TU-game. In this article we discuss a class of equal surplus sharing solutions consisting of all convex combinations of the CIS-value, the ENSC-value and the equal division solution. We provide several characterizations of this class of (...)
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  3.  7
    Axiomatizations of a Class of Equal Surplus Sharing Solutions for TU-Games.René Brink & Yukihiko Funaki - 2009 - Theory and Decision 67 (3):303-340.
    A situation, in which a finite set of players can obtain certain payoffs by cooperation can be described by a cooperative game with transferable utility, or simply a TU-game. A (point-valued) solution for TU-games assigns a payoff distribution to every TU-game. In this article we discuss a class of equal surplus sharing solutions consisting of all convex combinations of the CIS-value, the ENSC-value and the equal division solution. We provide several characterizations of this class of (...)
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  4.  31
    Consistency, population solidarity, and egalitarian solutions for TU-games.René van den Brink, Youngsub Chun, Yukihiko Funaki & Boram Park - 2016 - Theory and Decision 81 (3):427-447.
    A solution for cooperative games with transferable utility, or simply TU-games, assigns a payoff vector to every TU-game. In this paper we discuss two classes of equal surplus sharing solutions. The first class consists of all convex combinations of the equal division solution and the center-of-gravity of the imputation-set value. The second class is the dual class consisting of all convex combinations of the equal division solution and the egalitarian non-separable contribution value. (...)
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  5. Infinite Divisibility in Hume's First Enquiry.Dale Jacquette - 1994 - Hume Studies 20 (2):219-240.
    In lieu of an abstract, here is a brief excerpt of the content:Hume Studies Volume XX, Number 2, November 1994, pp. 219-240 Infinite Divisibility in Hume's First Enquiry DALE JACQUETTE The Limitations of Reason The arguments against infinite divisibility in the notes to Sections 124 and 125 of David Hume's Enquiry Concerning Human Understanding are presented as "sceptical" results about the limitations of reason. The metaphysics of infinite divisibility is introduced merely as a particular, though especially representative problem, among several (...)
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  6.  71
    Balancing epistemic quality and equal participation in a system approach to deliberative democracy.Simone Chambers - 2017 - Social Epistemology 31 (3):266-276.
    In this paper, I argue that the asymmetrical mediated communication of the broad democratic public sphere can profitably be understood through the lens of deliberative democracy only if we adopt a system approach to deliberation. A system approach, however, often introduces a division of labor between ordinary citizens and experts. Although this division of labor is unavoidable and I believe compatible with a deliberative principle of legitimacy, it flirts with elitist theories of democracy: epistemic elites come up with (...)
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  7. The Moral Division of Labor.Thomas Nagel - 1991 - In Equality and Partiality. New York, US: OUP Usa.
    The general form of solution to the problem of reconciling the standpoint of the collectivity with the standpoint of the individual is through the design of institutions, which penetrate and in part reconstruct their individual members, by producing differentiation within the self between public and private roles, and further differentiation subordinate to these roles. In a sense, the aim is to externalize through social institutions the most impartial requirements of the impersonal standpoint, but our support of those institutions depends (...)
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  8.  9
    Against Equal Division of Natural Resources.Megan Blomfield - 2019 - In Global Justice, Natural Resources, and Climate Change. Oxford University Press.
    This chapter rejects Equal Division, focusing on Hillel Steiner’s formulation of the view. First, further explanation of why one might take Equal Division to follow from Equal Original Claims is provided. Then, David Miller’s objection is introduced, according to which there is no defensible metric by which resource shares can be made commensurate, given the fact of reasonable value pluralism. The chapter argues that what the metric problem really shows, is that Equal Division (...)
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  9.  99
    Implementing equal division with an ultimatum threat.Esat Doruk Cetemen & Emin Karagözoğlu - 2014 - Theory and Decision 77 (2):223-236.
    We modify the payment rule of the standard divide the dollar (DD) game by introducing a second stage and thereby resolve the multiplicity problem and implement equal division of the dollar in equilibrium. In the standard DD game, if the sum of players’ demands is less than or equal to a dollar, each player receives what he demanded; if the sum of demands is greater than a dollar, all players receive zero. We modify this second part, which (...)
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  10.  88
    Cooperative provision of indivisible public goods.Pierre Dehez - 2013 - Theory and Decision 74 (1):13-29.
    A community faces the obligation of providing an indivisible public good that each of its members is able to provide at a certain cost. The solution is to rely on the member who can provide the public good at the lowest cost, with a due compensation from the other members. This problem has been studied in a non-cooperative setting by Kleindorfer and Sertel. They propose an auction mechanism that results in an interval of possible individual contributions whose lower bound (...)
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  11.  83
    Fairness motivation in bargaining: a matter of principle. [REVIEW]Sigbjørn Birkeland & Bertil Tungodden - 2014 - Theory and Decision 77 (1):125-151.
    In this paper, we study the role of fairness motivation in bargaining. We show that bargaining between two strongly fairness motivated individuals who have different views about what represents a fair division may end in disagreement. Further, by applying the Nash bargaining solution, we study the influence of fairness motivation on the bargaining outcome when an agreement is reached. In particular, we show that the bargaining outcome is sensitive to the fairness motivation of the two individuals, unless they (...)
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  12.  31
    Characterizations of weighted and equal division values.Sylvain Béal, André Casajus, Frank Huettner, Eric Rémila & Philippe Solal - 2016 - Theory and Decision 80 (4):649-667.
    New and recent axioms for cooperative games with transferable utilities are introduced. The non-negative player axiom requires to assign a non-negative payoff to a player that belongs to coalitions with non-negative worth only. The axiom of addition invariance on bi-partitions requires that the payoff vector recommended by a value should not be affected by an identical change in worth of both a coalition and the complementary coalition. The nullified solidarity axiom requires that if a player who becomes null weakly loses (...)
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  13.  18
    Coalitional desirability and the equal division value.Sylvain Béal, Eric Rémila & Philippe Solal - 2019 - Theory and Decision 86 (1):95-106.
    We introduce three natural collective variants of the well-known axiom of desirability, which require that if the contributions of a first coalition are at least as large as the contributions of a second coalition, then the payoff in the first coalition should be as large as the payoff in the second coalition. These axioms are called coalitional desirability and average coalitional desirability. The third variant, called uniform coalitional desirability, applies only to coalitions with the same size. We show that coalitional (...)
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  14.  35
    On environmental justice, Part II: non-absolute equal division of rights to the natural world.Joseph Mazor - 2023 - Economics and Philosophy 39 (2):256-284.
    This article considers whether any interpretation of the idea of equal claims to the natural world can resolve the Canyon Dilemma (i.e. can justify protecting the Grand Canyon but not a small canyon from mining by a poor generation). It first considers and ultimately rejects the idea of subjecting natural resource rights to an intergenerational equal division. It then demonstrates that a pluralist theory of environmental justice committed to both respect for the separateness of persons and to (...)
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  15.  97
    Finite Alternating-Move Arbitration Schemes and the Equal Area Solution.Nejat Anbarci - 2006 - Theory and Decision 61 (1):21-50.
    We start by considering the Alternate Strike (AS) scheme, a real-life arbitration scheme where two parties select an arbitrator by alternately crossing off at each round one name from a given panel of arbitrators. We find out that the AS scheme is not invariant to “bad” alternatives. We then consider another alternating-move scheme, the Voting by Alternating Offers and Vetoes (VAOV) scheme, which is invariant to bad alternatives. We fully characterize the subgame perfect equilibrium outcome sets of these above two (...)
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  16.  34
    Nullified equal loss property and equal division values.Sylvain Ferrières - 2017 - Theory and Decision 83 (3):385-406.
    We provide characterizations of the equal division values and their convex mixtures, using a new axiom on a fixed player set based on player nullification which requires that if a player becomes null, then any two other players are equally affected. Two economic applications are also introduced concerning bargaining under risk and common-pool resource appropriation.
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  17.  55
    Knowledge from scientific expert testimony without epistemic trust.Jon Leefmann & Steffen Lesle - 2020 - Synthese 197 (8):3611-3641.
    In this paper we address the question of how it can be possible for a non-expert to acquire justified true belief from expert testimony. We discuss reductionism and epistemic trust as theoretical approaches to answer this question and present a novel solution that avoids major problems of both theoretical options: Performative Expert Testimony. PET draws on a functional account of expertise insofar as it takes the expert’s visibility as a good informant capable to satisfy informational needs as equally important (...)
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  18. Knowledge from Scientific Expert Testimony without Epistemic Trust.Jon Leefmann & Steffen Lesle - 2018 - Synthese:1-31.
    In this paper we address the question of how it can be possible for a non-expert to acquire justified true belief from expert testimony. We discuss reductionism and epistemic trust as theoretical approaches to answer this question and present a novel solution that avoids major problems of both theoretical options: Performative Expert Testimony (PET). PET draws on a functional account of expertise insofar as it takes the expert’s visibility as a good informant capable to satisfy informational needs as equally (...)
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  19.  67
    Kenneth Burke on dialectical-rhetorical transcendence.James P. Zappen - 2009 - Philosophy and Rhetoric 42 (3):pp. 279-301.
    In lieu of an abstract, here is a brief excerpt of the content:Kenneth Burke on Dialectical-Rhetorical TranscendenceJames P. ZappenKenneth Burke's concept of rhetoric is complex and elusive, increasingly so as it becomes intertwined and infused with dialectic in the long third part of A Rhetoric of Motives and in some essays published shortly thereafter (1951; 1955; 1969b [1950], 183–333).1 The connection between Burke's rhetoric and dialectic is well established (Brummett 1995; Crusius 1986; 1999, 120–21; Wess 1996, 136–216; Wolin 2001, 143–204), (...)
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  20.  7
    Gender and equity considerations in AMR research: a systematic scoping review.Ingrid Lynch, Lorenza Fluks, Lenore Manderson, Nazeema Isaacs, Roshin Essop, Ravikanya Praphasawat, Lyn Middleton & Bhensri Naemiratch - forthcoming - Monash Bioethics Review:1-25.
    Research on gender and antimicrobial resistance (AMR) beyond women’s biological susceptibility is limited. A gender and equity lens in AMR research is necessary to promote gender equality and support the effectiveness, uptake, and sustainability of real-world AMR solutions. We argue that it is an ethical and social justice imperative to include gender and related intersectional issues in AMR research and implementation. An intersectional exploration of the interplay between people’s diverse identities and experiences, including their gender, socio-economic status, race, disability, age, (...)
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  21.  25
    Leibniz on Estimating the Uncertain: An English Translation of De incerti aestimatione with Commentary.Wolfgang David Cirilo de Melo & James Cussens - 2004 - The Leibniz Review 14:31-41.
    Leibniz’s De incerti aestimatione, which contains his solution to the division problem, has not received much attention, let alone much appreciation. This is surprising because it is in this work that the definition of probability in terms of equally possible cases appears for the first time. The division problem is used to establish and test probability theory; it can be stated as follows: if two players agree to play a game in which one has to win a (...)
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  22.  50
    Leibniz on Estimating the Uncertain.Wolfgang David Cirilo de Melo & James Cussens - 2004 - The Leibniz Review 14:31-41.
    Leibniz’s De incerti aestimatione, which contains his solution to the division problem, has not received much attention, let alone much appreciation. This is surprising because it is in this work that the definition of probability in terms of equally possible cases appears for the first time. The division problem is used to establish and test probability theory; it can be stated as follows: if two players agree to play a game in which one has to win a (...)
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  23.  22
    Maternal Compassion in the Thought of René Girard, Emil Fackenheim, and Emmanuel Levinas.Ann W. Astell - 2004 - Contagion: Journal of Violence, Mimesis, and Culture 11 (1):15-24.
    In lieu of an abstract, here is a brief excerpt of the content:MATERNAL COMPASSION IN THE THOUGHT OF RENÉ GIRARD, EMIL FACKENHEIM, AND EMMANUEL LÉVINAS Ann W. Astell Purdue University l;ike empathy, compassion is a word that seldom occurs in the /writings of René Girard,' who prefers to answer to Martin Heidegger's "anxiety" [Die Sorge] before death by speaking instead of a "concern for victims" [le souci des victims].2 Maternal corn-passion does enter Girardian analysis directly, however, in his discussion ofthe (...)
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  24. Comment les médias grand public alimentent-ils le populisme de droite?Gheorghe-Ilie Farte - 2019 - Argumentum. Journal of the Seminar of Discursive Logic, Argumentation Theory and Rhetoric 17 (1):9-32.
    The vertiginous rise of right-wing populism, especially in its “nationalist, xenophobic and conservative form”, and some “racist, anti-Semitic, homophobic and sexist” drifts associated with this phenomenon – whether real or perceived as such – make the mainstream media play a double role. On the one hand, the mainstream media reflect the struggle for political hegemony between different vested interests; on the other hand, they engage in the fight against right-wing populism blasting both right-wing populist candidates and their voters or supporters. (...)
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  25.  18
    Civic Dignity in the Age of Donald Trump: A Kantian Perspective.Susan Meld Shell - 2018 - In Marc Benjamin Sable & Angel Jaramillo Torres (eds.), Trump and Political Philosophy: Patriotism, Cosmopolitanism, and Civic Virtue. Cham: Palgrave Macmillan. pp. 177-192.
    If there is one generally acknowledged “take away” from the election of Trump, it may well be that the old divisions between right and left no longer hold. Trump supporters were seemingly moved less by traditional conservative appeals to free markets and small government than by anger against perceived condescension and indifference on the part of the cultural elite to their own deeply held moral beliefs and sense of personal dignity. Kant offers both insight into and potential remedies for the (...)
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  26.  14
    Leibniz on Estimating the Uncertain: An English Translation of De incerti aestimatione with Commentary.Wolfgang David Cirilo de Melo & James Cussens - 2004 - The Leibniz Review 14:31-41.
    Leibniz’s De incerti aestimatione, which contains his solution to the division problem, has not received much attention, let alone much appreciation. This is surprising because it is in this work that the definition of probability in terms of equally possible cases appears for the first time. The division problem is used to establish and test probability theory; it can be stated as follows: if two players agree to play a game in which one has to win a (...)
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  27.  64
    On Estimating the Uncertain.Gottfried Wilhelm Leibniz - 2004 - The Leibniz Review 14:43-53.
    Leibniz’s De incerti aestimatione, which contains his solution to the division problem, has not received much attention, let alone much appreciation. This is surprising because it is in this work that the definition of probability in terms of equally possible cases appears for the first time. The division problem is used to establish and test probability theory; it can be stated as follows: if two players agree to play a game in which one has to win a (...)
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  28.  42
    Method and Politics in Plato's Statesman (review).Francisco J. González - 1999 - Journal of the History of Philosophy 37 (1):159-160.
    In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Method and Politics in Plato’s Statesman by M. S. LaneFrancisco J. GonzalezM. S. Lane. Method and Politics in Plato’s Statesman. Cambridge: Cambridge University Press, 1998. Pp. xiii + 229. Cloth, $59.95.This rewarding book not only is another sign of growing interest in the Statesman, but also does much to justify this interest. The reasons for the dialogue’s relative neglect until recently are easily stated: readers have been puzzled (...)
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  29.  8
    Method and Politics in Plato's Statesman (review).Francisco J. González - 1999 - Journal of the History of Philosophy 37 (1):159-160.
    In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Method and Politics in Plato’s Statesman by M. S. LaneFrancisco J. GonzalezM. S. Lane. Method and Politics in Plato’s Statesman. Cambridge: Cambridge University Press, 1998. Pp. xiii + 229. Cloth, $59.95.This rewarding book not only is another sign of growing interest in the Statesman, but also does much to justify this interest. The reasons for the dialogue’s relative neglect until recently are easily stated: readers have been puzzled (...)
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  30.  25
    Recognizing care, caring recognition: Democratic love and the problems of care work.Federica Gregoratto - 2016 - Thesis Eleven 134 (1):56-72.
    In this paper, I discuss the idea of democratic love from the perspective of gender equality. More precisely, I argue that a particular form of gender inequality, namely a gender-specific division of care labour, jeopardizes democratic love. In the first two sections of the article, I introduce Anthony Giddens’ original idea of a ‘democratization of the personal’ and show how Axel Honneth has developed it by relying on the Hegelian notion of social freedom. In the third section, I discuss (...)
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  31.  11
    De besluitvormingsmechanismen op nationaal en gewestelijk vlak : Een federale staat zonder federaal gezag?Omer Coenen - 1984 - Res Publica 26 (3):333-340.
    The rapid evolution that has taken place since the state reform of 1980 has made the need felt that some options of this state reform must be adjusted. In spite of this need, the core question is whether or not one should, in the first place, adapt the structures of the national government so it can carry out its national tasks. The clear establishment of communities and regions, the structuring of the political parties on the basis of these entities, the (...)
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  32.  8
    Meaning, Use, and Truth: Introducing the Philosophy of Language.Finn Collin & Finn Guldmann - 2005 - Ashgate Publishing.
    What is linguistic meaning? What do people precisely do in uttering sentences? What are the principles involved in linguistic interpretation? How is it possible that linguistic signs, such as oral sounds or squiggles on a piece of paper, refer to things in the world? This book presents the attempts by philosophers in the 20th century to understand the workings of language, and address questions such as these.Presenting an accessible, balanced introduction to the philosophy of language as it has evolved in (...)
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  33. Ontologie relazionali e metafisica trinitaria. Sussistenze, eventi e gunk.Damiano Migliorini - 2022 - Brescia: Morcelliana.
    The book aims to examine how a Trinitarian Theism can be formulated through the elaboration of a Relational Ontology and a Trinitarian Metaphysics, in the context of a hyperphatic epistemology. This metaphysics has been proposed by some supporters of the so-called Open Theism as a solution to the numerous dilemmas of Classical Theism. The hypothesis they support is that the Trinitarian nature of God, reflected in a world of multiplicity, relationality, substance and relations, demands that we think of God (...)
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  34.  45
    The New Mizrahi Narrative in Israel.Arie Kizel - 2014 - Resling.
    The trend to centralization of the Mizrahi narrative has become an integral part of the nationalistic, ethnic, religious, and ideological-political dimensions of the emerging, complex Israeli identity. This trend includes several forms of opposition: strong opposition to "melting pot" policies and their ideological leaders; opposition to the view that ethnicity is a dimension of the tension and schisms that threaten Israeli society; and, direct repulsion of attempts to silence and to dismiss Mizrahim and so marginalize them hegemonically. The Mizrahi Democratic (...)
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  35.  8
    Multiculturalism and Law: A Critical Debate.Omid A. Payrow Shabani (ed.) - 2007 - University of Wales Press.
    As recent controversies over satirical religious cartoons in Denmark and the wearing of traditional dress in France attest, multiculturalism is an increasingly contentious issue for contemporary democracies. The question of how to achieve a balance between a tolerant and open society and a just nation with a strong identity has become one of the most heated debates in the academic community—and a matter of immediate political urgency for many countries. _Multiculturalism and the Law_ brings together some of the sharpest and (...)
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  36.  21
    Plato on Inequalities, Justice, and Democracy.Gerasimos Santas - 2018 - In Gerasimos Santas & Georgios Anagnostopoulos (eds.), Democracy, Justice, and Equality in Ancient Greece: Historical and Philosophical Perspectives. Cham: Springer Verlag. pp. 161-177.
    The paper focuses on Plato’s treatment of equality and inequalities in his best constitution in the Republic and in the second best constitution in the Laws. Plato was aware of the equality solution and various inequalities solutions to the problem of distributing political offices, the burdens of defense, other careers, and property and wealth. In his best constitution he rejected participatory democracy’s solution of equality of political offices, and also rejected inequality distributions of political office on the bases (...)
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  37.  3
    Educational Leaders Without Borders: Rising to Global Challenges to Educate All.Fenwick W. English & Rosemary Papa (eds.) - 2016 - Cham: Imprint: Springer.
    This profound resource extends the concept of education as a human right to propose lasting solutions to educational disparities worldwide. Its multiperspective analysis probes the roots of educational inequities in recent and longstanding economic divisions, cultural domination, and political injustice, framing equal access to meaningful learning as a core aspect of a humane society. Characteristics of Educational Leaders without Borders (ELWB) are defined, and the challenges of their mission are examined in global context, from education of girls in the (...)
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  38.  28
    A demanding environmental ethics for the future.James P. Sterba - 2007 - Ethics and the Environment 12 (2):146-147.
    In lieu of an abstract, here is a brief excerpt of the content:A Demanding Environmental Ethics for the FutureJames P. Sterba (bio)As we contemplate the present and future effects of global climate change, it is hard not to be disillusioned by what we see. Melting glaciers, rising sea levels, more intense and erratic weather patterns, wide-scale extinction of endangered species—what can we as environmental philosophers do that might be helpful in this regard? My suggestion is that we respond by drawing (...)
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  39. Equal Moral Opportunity: A Solution to the Problem of Moral Luck.Philip Swenson - 2022 - Australasian Journal of Philosophy 100 (2):386-404.
    ABSTRACT Many of our common-sense moral judgments seemingly imply the existence of moral luck. I attempt to avoid moral luck while retaining most of these judgments. I defend a view on which agents have moral equality of opportunity. This allows us to account for our anti-moral-luck intuitions at less cost than has been previously recognized.
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  40.  92
    Equality and division: Values in principle.Samuel Scheffler & Veronique Munoz-Darde - 2005 - Aristotelian Society Supplementary Volume 79 (1):255–284.
    Are there distinctively political values? Certain egalitarians seem to think that equality is one such value. Scheffler 's contribution to the symposium seeks to articulate a division of moral labour between norms of personal morality and the principles of justice that regulate social institutions, and using this suggests that the egalitarian critique of Rawls can be deflected. In this paper, instead, I question the status of equality as an intrinsic value. I argue that an egalitarianism which focuses on the (...)
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  41.  65
    Fair equality of opportunity and the gendered division of labor.Jonathan Quong - 2023 - Philosophy and Phenomenological Research 107 (1):283-289.
  42.  10
    Who Toils? Race, Equal Opportunity, and the Division of Labor.Paul Gomberg - 2007 - In How to Make Opportunity Equal: Race and Contributive Justice. Malden, MA: Wiley-Blackwell. pp. 1–17.
    This chapter contains section titled: A radical proposal Some history Why our conception of equal opportunity changes Racism and the costs of unequal opportunity The social context of political philosophy Contributive justice Race and opportunity.
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  43.  15
    Training Can Increase Students’ Choices for Written Solution Strategies and Performance in Solving Multi-Digit Division Problems.Marije F. Fagginger Auer, Marian Hickendorff & Cornelis M. Van Putten - 2018 - Frontiers in Psychology 9:365337.
    Making adaptive choices between solution strategies is a central element of contemporary mathematics education. However, previous studies signal that students make suboptimal choices between mental and written strategies to solve division problems. In particular, some students of a lower math ability level appear inclined to use mental strategies that lead to lower performance. The current study uses a pretest-training-posttest design to investigate the extent to which these students’ choices for written strategies and performance may be increased. Sixth graders (...)
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  44.  46
    The sequential equal surplus division for rooted forest games and an application to sharing a river with bifurcations.Sylvain Béal, Amandine Ghintran, Eric Rémila & Philippe Solal - 2015 - Theory and Decision 79 (2):251-283.
    We introduce a new allocation rule, called the sequential equal surplus division for rooted forest TU-games. We provide two axiomatic characterizations for this allocation rule. The first one uses the classical property of component efficiency plus an edge deletion property. The second characterization uses standardness, an edge deletion property applied to specific rooted trees, a consistency property, and an amalgamation property. We also provide an extension of the sequential equal surplus division applied to the problem of (...)
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  45.  30
    Stable partitions in many division problems: the proportional and the sequential dictator solutions.Gustavo Bergantiños, Jordi Massó, Inés Moreno de Barreda & Alejandro Neme - 2015 - Theory and Decision 79 (2):227-250.
    We study how to partition a set of agents in a stable way when each coalition in the partition has to share a unit of a perfectly divisible good, and each agent has symmetric single-peaked preferences on the unit interval of his potential shares. A rule on the set of preference profiles consists of a partition function and a solution. Given a preference profile, a partition is selected and as many units of the good as the number of coalitions (...)
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  46.  30
    The laws of integer divisibility, and solution sets of linear divisibility conditions.L. van den Dries & A. J. Wilkie - 2003 - Journal of Symbolic Logic 68 (2):503-526.
    We prove linear and polynomial growth properties of sets and functions that are existentially definable in the ordered group of integers with divisibility. We determine the laws of addition with order and divisibility.
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  47. The laws of integer divisibility, and solution sets of linear divisibility conditions.L.den Dries & A. J. Wilkie - 2003 - Journal of Symbolic Logic 68 (2):503 - 526.
    We prove linear and polynomial growth properties of sets and functions that are existentially definable in the ordered group of integers with divisibility. We determine the laws of addition with order and divisibility.
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  48.  22
    II—Véronique Munoz-Dardé: Equality and Division: Values in Principle 1.Samuel Scheffler - 2005 - Aristotelian Society Supplementary Volume 79 (1):255-284.
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  49.  43
    II—Véronique Munoz-Dardé: Equality and Division: Values in Principle 1.Samuel Scheffler & Véronique Munoz‐Dardé - 2005 - Aristotelian Society Supplementary Volume 79 (1):255-284.
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  50.  30
    II—Véronique Munoz-Dardé: Equality and Division: Values in Principle 1.Véronique Munoz-Dardé - 2005 - Aristotelian Society Supplementary Volume 79 (1):255-284.
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