Results for 'well-ordering principle'

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  1.  11
    Well ordering principles and -statements: A pilot study.Anton Freund - 2021 - Journal of Symbolic Logic 86 (2):709-745.
    In previous work, the author has shown that $\Pi ^1_1$ -induction along $\mathbb N$ is equivalent to a suitable formalization of the statement that every normal function on the ordinals has a fixed point. More precisely, this was proved for a representation of normal functions in terms of Girard’s dilators, which are particularly uniform transformations of well orders. The present paper works on the next type level and considers uniform transformations of dilators, which are called 2-ptykes. We show that (...)
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  2.  44
    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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  3.  13
    Reverse mathematics and well-ordering principles.Michael Rathjen & Andreas Weiermann - 2011 - In S. B. Cooper & Andrea Sorbi (eds.), Computability in Context: Computation and Logic in the Real World. World Scientific.
  4.  17
    Type-two well-ordering principles, admissible sets, and -comprehension.Anton Freund - 2018 - Bulletin of Symbolic Logic 24 (4):460-461.
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  5.  14
    Proof-theoretic strengths of the well-ordering principles.Toshiyasu Arai - 2020 - Archive for Mathematical Logic 59 (3-4):257-275.
    In this note the proof-theoretic ordinal of the well-ordering principle for the normal functions \ on ordinals is shown to be equal to the least fixed point of \. Moreover corrections to the previous paper are made.
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  6.  14
    Subcomplete forcing principles and definable well‐orders.Gunter Fuchs - 2018 - Mathematical Logic Quarterly 64 (6):487-504.
    It is shown that the boldface maximality principle for subcomplete forcing,, together with the assumption that the universe has only set many grounds, implies the existence of a wellordering of definable without parameters. The same conclusion follows from, assuming there is no inner model with an inaccessible limit of measurable cardinals. Similarly, the bounded subcomplete forcing axiom, together with the assumption that does not exist, for some, implies the existence of a wellordering of which is (...)
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  7.  61
    Large cardinals and definable well-orders on the universe.Andrew D. Brooke-Taylor - 2009 - Journal of Symbolic Logic 74 (2):641-654.
    We use a reverse Easton forcing iteration to obtain a universe with a definable well-order, while preserving the GCH and proper classes of a variety of very large cardinals. This is achieved by coding using the principle ◊ $_{k^ - }^* $ at a proper class of cardinals k. By choosing the cardinals at which coding occurs sufficiently sparsely, we are able to lift the embeddings witnessing the large cardinal properties without having to meet any non-trivial master conditions.
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  8.  40
    Biomedical Research, Neglected Diseases, and Well-Ordered Science.Julian Reiss & Philip Kitcher - 2010 - Theoria 24 (3):263-282.
    In this paper we make a proposal for reforming biomedical research that is aimed to align re-search more closely with the so-called fair-share principle according to which the proportions of global resources as-signed to different diseases should agree with the ratios of human suffering associated with those diseases.
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  9. Biomedical research, neglected diseases, and well-ordered science.Julian Reiss & Philip Kitcher - 2009 - Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 24 (3):263-282.
    In this paper we make a proposal for reforming biomedical research that is aimed to align re-search more closely with the so-called fair-share principle according to which the proportions of global resources as-signed to different diseases should agree with the ratios of human suffering associated with those diseases.
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  10.  40
    Some results on cut-elimination, provable well-orderings, induction and reflection.Toshiyasu Arai - 1998 - Annals of Pure and Applied Logic 95 (1-3):93-184.
    We gather the following miscellaneous results in proof theory from the attic.1. 1. A provably well-founded elementary ordering admits an elementary order preserving map.2. 2. A simple proof of an elementary bound for cut elimination in propositional calculus and its applications to separation problem in relativized bounded arithmetic below S21.3. 3. Equivalents for Bar Induction, e.g., reflection schema for ω logic.4. 4. Direct computations in an equational calculus PRE and a decidability problem for provable inequations in PRE.5. 5. (...)
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  11.  20
    A Pluralism Worth Having: Feyerabend's Well-Ordered Science.Jamie Shaw - 2018 - Dissertation, University of Western Ontario
    The goal of this dissertation is to reconstruct, critically evaluate, and apply the pluralism of Paul Feyerabend. I conclude by suggesting future points of contact between Feyerabend’s pluralism and topics of interest in contemporary philosophy of science. I begin, in Chapter 1, by reconstructing Feyerabend’s critical philosophy. I show how his published works from 1948 until 1970 show a remarkably consistent argumentative strategy which becomes more refined and general as Feyerabend’s thought matures. Specifically, I argue that Feyerabend develops a persuasive (...)
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  12. Biomedical Research, Neglected Diseases, and Well-Ordered Science.Philip Kitcher - 2009 - Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 24 (3):263-282.
    In this paper we make a proposal for reforming biomedical research that is aimed to align research more closely with the so-called fair-share principle according to which the proportions of global resources assigned to different diseases should agree with the ratios of human suffering associated with those diseases.
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  13.  7
    Improvisation: the drama of Christian ethics.Samuel Wells - 2018 - Grand Rapids, Michigan: Baker Academic. Edited by Wesley Vander Lugt & Benjamin D. Wayman.
    In Improvisation, Samuel Wells defines improvisation in the theater as "a practice through which actors seek to develop trust in themselves and one another in order that they may conduct unscripted dramas without fear." Sounds a lot like life, doesn't it? Building trust, overcoming fear, conducting relationships, and making choices--all without a script. Wells establishes theatrical improvisation as a model for Christian ethics, a matter of "faithfully improvising on the Christian tradition." He views the Bible not as a "script" but (...)
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  14.  30
    Abstraction Principles and the Classification of Second-Order Equivalence Relations.Sean C. Ebels-Duggan - 2019 - Notre Dame Journal of Formal Logic 60 (1):77-117.
    This article improves two existing theorems of interest to neologicist philosophers of mathematics. The first is a classification theorem due to Fine for equivalence relations between concepts definable in a well-behaved second-order logic. The improved theorem states that if an equivalence relation E is defined without nonlogical vocabulary, then the bicardinal slice of any equivalence class—those equinumerous elements of the equivalence class with equinumerous complements—can have one of only three profiles. The improvements to Fine’s theorem allow for an analysis (...)
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  15. God the invisible king.H. G. Wells - 1917 - [n. p.]: Createspace Independent Publishing Platform.
    This book covers the author's conception of God aside from any religion. He does not come from a religious view in order to transmit the truest conception of God that he is capable of because any religion, whatever it might be, always claims God for itself in an exclusionary fashion. In other words, you must be a follower of the chosen faith before God will accept you into his kingdom. Wells rejects this view. Any man or woman who accepts God's (...)
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  16.  63
    A Note on Choice Principles in Second-Order Logic.Benjamin Siskind, Paolo Mancosu & Stewart Shapiro - 2023 - Review of Symbolic Logic 16 (2):339-350.
    Zermelo’s Theorem that the axiom of choice is equivalent to the principle that every set can be well-ordered goes through in third-order logic, but in second-order logic we run into expressivity issues. In this note, we show that in a natural extension of second-order logic weaker than third-order logic, choice still implies the well-ordering principle. Moreover, this extended second-order logic with choice is conservative over ordinary second-order logic with the well-ordering principle. We (...)
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  17. Science and the Principle of Sufficient Reason: Du Châtelet contra Wolff.Aaron Wells - 2023 - Hopos: The Journal of the International Society for the History of Philosophy of Science 13 (1):24–53.
    I argue that Émilie Du Châtelet breaks with Christian Wolff regarding the scope and epistemological content of the principle of sufficient reason, despite his influence on her basic ontology and their agreement that the principle of sufficient reason has foundational importance. These differences have decisive consequences for the ways in which Du Châtelet and Wolff conceive of science.
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  18.  62
    To Tell the Truth, the Whole Truth, May Do Patients Harm: The Problem of the Nocebo Effect for Informed Consent.Rebecca Erwin Wells & Ted J. Kaptchuk - 2012 - American Journal of Bioethics 12 (3):22-29.
    The principle of informed consent obligates physicians to explain possible side effects when prescribing medications. This disclosure may itself induce adverse effects through expectancy mechanisms known as nocebo effects, contradicting the principle of nonmaleficence. Rigorous research suggests that providing patients with a detailed enumeration of every possible adverse event—especially subjective self-appraised symptoms—can actually increase side effects. Describing one version of what might happen (clinical “facts”) may actually create outcomes that are different from what would have happened without this (...)
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  19. Autonomy, Well-Being and the Order of Things: Gilabert on the conditions of social and global justice.Christine Straehle - 2013 - Les ateliers de l'éthique/The Ethics Forum 8 (2):110-120.
    Gilabert argues that the humanist conception of duties of global justice and the principle of cosmopolitan justifiability will lead us to accept an egalitarian definition of individual autonomy. Gilabert further argues that realizing conditions of individual autonomy can serve as the cut-off point to duties of global justice. I investigate his idea of autonomy, arguing that in order to make sense of this claim, we need a concept of autonomy. I propose 4 possible definitions of autonomy, none of which (...)
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  20. Du Châtelet on Sufficient Reason and Empirical Explanation.Aaron Wells - 2021 - Southern Journal of Philosophy 59 (4):629-655.
  21. Incompatibilism and the Principle of Sufficient Reason in Kant’s Nova Dilucidatio.Aaron Wells - 2022 - Journal of Modern Philosophy 4 (1:3):1-20.
    The consensus is that in his 1755 Nova Dilucidatio, Kant endorsed broadly Leibnizian compatibilism, then switched to a strongly incompatibilist position in the early 1760s. I argue for an alternative, incompatibilist reading of the Nova Dilucidatio. On this reading, actions are partly grounded in indeterministic acts of volition, and partly in prior conative or cognitive motivations. Actions resulting from volitions are determined by volitions, but volitions themselves are not fully determined. This move, which was standard in medieval treatments of free (...)
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  22. The Principles of Genetic Epistemology.Jean Piaget, Wolfe Mays & P. A. Wells - 1975 - Mind 84 (334):314-316.
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  23. The Principle of Sufficient Reason in Early Modern Philosophy of Science: Leibniz, Du Châtelet, and Euler.Aaron Wells - forthcoming - In Fatema Amijee & Michael Della Rocca (eds.), The Principle of Sufficient Reason: A History. Oxford University Press.
    I distinguish three ways in which early modern rationalists seek to apply the principle of sufficient reason to empirical science, and critically assess some of their attempts to do so. I focus especially on how these thinkers assume substantive theories of explanation and intelligibility--which are indebted to the mechanist and experimentalist traditions--in many of their deployments of this rationalist principle. A recurring problem is that these philosophers deploy their standards of intelligibility inconsistently: some of their own favored explanations (...)
     
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  24.  16
    The weakly compact reflection principle need not imply a high order of weak compactness.Brent Cody & Hiroshi Sakai - 2020 - Archive for Mathematical Logic 59 (1-2):179-196.
    The weakly compact reflection principle\\) states that \ is a weakly compact cardinal and every weakly compact subset of \ has a weakly compact proper initial segment. The weakly compact reflection principle at \ implies that \ is an \-weakly compact cardinal. In this article we show that the weakly compact reflection principle does not imply that \ is \\)-weakly compact. Moreover, we show that if the weakly compact reflection principle holds at \ then there is (...)
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  25.  20
    On Induction Principles for Partial Orders.Ievgen Ivanov - 2022 - Logica Universalis 16 (1):105-147.
    Various forms of mathematical induction are applicable to domains with some kinds of order. This naturally leads to the questions about the possibility of unification of different inductions and their generalization to wider classes of ordered domains. In the paper we propose a common framework for formulating induction proof principles in various structures and apply it to partially ordered sets. In this framework we propose a fixed induction principle which is indirectly applicable to the class of all posets. In (...)
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  26.  6
    The discovery of the future.H. G. Wells - 1913 - New York: B.W. Huebsch.
    Excerpt: IT will lead into my subject most conveniently to contrast and separate two divergent types of mind, types which are to be distinguished chiefly by their attitude toward time, and more particularly by the relative importance they attach and the relative amount of thought they give to the future. The first of these two types of mind, and it is, I think, the predominant type, the type of the majority of living people, is that which seems scarcely to think (...)
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  27.  36
    Beyond the hypothesis: Theory's role in the genesis, opposition, and pursuit of the Higgs boson.James D. Wells - 2018 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 62 (C):36-44.
    The centrally recognized theoretical achievement that enabled the Higgs boson discovery in 2012 was the hypothesis of its existence, made by Peter Higgs in 1964. Nevertheless, there is a significant body of comparably important theoretical work prior to and after the Higgs boson hypothesis. In this article we present an additional perspective of how crucial theory work was to the genesis of the Higgs boson hypothesis, especially emphasizing its roots in Landau's theory of phase transitions and subsequent theoretical work on (...)
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  28. Transformation without Paternalism.Thomas R. Wells & John B. Davis - 2016 - Journal of Human Development and Capabilities 17 (3):360-376.
    Human development is meant to be transformational in that it aims to improve people's lives by enhancing their capabilities. But who does it target: people as they are or the people they will become? This paper argues that the human development approach relies on an understanding of personal identity as dynamic rather than as static collections of preferences, and that this distinguishes human development from conventional approaches to development. Nevertheless, this dynamic understanding of personal identity is presently poorly conceptualized and (...)
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  29. The Priority of Natural Laws in Kant’s Early Philosophy.Aaron Wells - 2021 - Res Philosophica 98 (3):469-497.
    It is widely held that, in his pre-Critical works, Kant endorsed a necessitation account of laws of nature, where laws are grounded in essences or causal powers. Against this, I argue that the early Kant endorsed the priority of laws in explaining and unifying the natural world, as well as their irreducible role in in grounding natural necessity. Laws are a key constituent of Kant’s explanatory naturalism, rather than undermining it. By laying out neglected distinctions Kant draws among types (...)
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  30. Du Châtelet’s Libertarianism.Aaron Wells - 2022 - History of Philosophy Quarterly 38 (3):219-241.
    There is a growing consensus that Emilie Du Châtelet’s challenging essay “On Freedom” defends compatibilism. I offer an alternative, libertarian reading of the essay. I lay out the prima facie textual evidence for such a reading. I also explain how apparently compatibilist remarks in “On Freedom” can be read as aspects of a sophisticated type of libertarianism that rejects blind or arbitrary choice. To this end, I consider the historical context of Du Châtelet’s essay, and especially the dialectic between various (...)
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  31. Why Take Both Boxes?Jack Spencer & Ian Wells - 2019 - Philosophy and Phenomenological Research 99 (1):27-48.
    The crucial premise of the standard argument for two-boxing in Newcomb's problem, a causal dominance principle, is false. We present some counterexamples. We then offer a metaethical explanation for why the counterexamples arise. Our explanation reveals a new and superior argument for two-boxing, one that eschews the causal dominance principle in favor of a principle linking rational choice to guidance and actual value maximization.
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  32.  1
    Fact and Responsibility – Approaches towards the Factual in Contemporary Art.Rachel Wells - 2015 - Zeitschrift für Ästhetik Und Allgemeine Kunstwissenschaft 60 (1):39-53.
    Rachel Wells turns to the examination of three recent artistic practices, which integrate facts in their work not as an antagonistic other but as a constitutive element to their efficacy and ethics. She argues, that in introducing news, factual actions, or objects with traces of factual events, Alfredo Jaar, Jeremy Deller and Martin Creed use facts in order to retract from the position of art as an expression of artistic freedom and subjectivity and thus as the opposite of fact. Instead, (...)
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  33.  29
    God's companions: reimagining Christian ethics.Samuel Wells - 2006 - Oxford: Blackwell.
    We are pleased to annouce that God’s Companions by Samuel Wells has been shortlisted for the 2007 Michael Ramsey Prize for theological writing. www.michaelramseyprize.org.uk Grounded in Samuel Wells’ experience of ordinary lives in poorer neighborhoods, this book presents a striking and imaginative approach to Christian ethics. It argues that Christian ethics is founded on God, on the practices of human community, and on worship, and that ethics is fundamentally a reflection of God's abundance. Wells synthesizes dogmatic, liturgical, ethical, scriptural, and (...)
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  34.  15
    When is writing already quotation? A developmental perspective on a postmodern question.Rebecca Wells-Jopling - 2006 - Journal of Aesthetic Education 40 (3):59-74.
    In lieu of an abstract, here is a brief excerpt of the content:When Is Writing Already Quotation?A Developmental Perspective on a Postmodern QuestionRebecca Wells-Jopling (bio)IntroductionPostmodern literary-critical thinking introduced into many disciplines in the 1950s and 1960s the quite peculiar, yet intellectually engaging, idea that what is written is always already-quoted. This idea is a logical derivation from the concurrent idea that writing is "prior to history"1 ; thus, what was written and what is written were simply always there, and someone (...)
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  35.  17
    Ancestral irrepressible: Marshall McLuhan and the future of the archive in Derrida's Archive Fever.Kate Wells - 2008 - Flusser Studies 6 (1):1.
    McLuhan’s status as the patriarch of Canadian media studies is explored as a troublesome nomological principle in light of Derrida’s Archive Fever. The trouble with archives, for Derrida, is the trouble of the original source. Linking McLuhan’s exploration of typographical and electronic communication systems to Derrida’s deconstruction of the archive as a technology of exteriorization, this paper investigates the nature of subjectivity and objectivity in Western epistemology. Can the archive, conceived of as a medium, allow for an escape from (...)
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  36.  84
    Christian ethics: an introductory reader.Samuel Wells (ed.) - 2010 - Malden, Mass.: Wiley-Blackwell.
    The story of God -- The story of the church -- The story of ethics -- The story of Christian ethics -- Universal ethics -- Subversive ethics -- Ecclesial ethics -- Good order -- Good life -- Good relationships -- Good beginnings and endings -- Good earth.
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  37.  34
    Nightmarish Romanticism: The Third Reich and the Appropriation of Romanticism.Bronte Wells - 2018 - Constellations 9 (1):1-10.
    Attempting to trace the intellectual history of any political movement is, at best,problematic. Humans construct political movements and the intellectual, philosophical underpinnings of those movements, and, in general, it is not one person who is doing the creating, but rather a multitude of people are involved; the circumstance of how politics is created is a web, which makes it difficult for researchers to trace the historical roots of movements. Nazi Germany has been the focus of numerous research projects to understand (...)
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  38.  4
    Nietzsche’s Society.Kristen Wells - 2013 - Stance 6 (1):53-61.
    This essay asserts that Nietzsche proposes an important role for society within his ethics, and that this societal aspect has been greatly overlooked by Nietzsche scholars. By identifying a soul-state analogy and resemblance to virtue ethics, this essay contends that Nietzsche intends for societies and individuals to be seen as complementary parts of the will to power. Like Aristotle, Nietzsche prescribes an ideal society essential to greatness. By recognizing the importance of the role of society in Nietzsche’s philosophy, Nietzsche scholarship (...)
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  39.  59
    Parallel architectures and mental computation.Andrew Wells - 1993 - British Journal for the Philosophy of Science 44 (3):531-542.
    In a recent paper, Lyngzeidetson [1990] has claimed that a type of parallel computer called the ‘Connection Machine’ instantiates architectural principles which will ‘revolutionize which "functions" of the human mind can and cannot be modelled by (non-human) computational automata.’ In particular, he claims that the Connection Machine architecture shows the anti-mechanist argument from Gödel's theorem to be false for at least one kind of parallel computer. In the first part of this paper, I argue that Lyngzeidetson's claims are not supported (...)
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  40.  45
    Word and Object.Rulon Wells - 1961 - Review of Metaphysics 14 (4):695 - 703.
    Is language a social art by some necessity, or merely in point of fact? Is society indispensable in principle, or merely very useful in practice? Is language a social art in its origin only, or also in its definitive nature?
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  41. Gap Principles, Penumbral Consequence, and Infinitely.Higher-Order Vagueness - 2003 - In J. C. Beall (ed.), Liars and Heaps: New Essays on Paradox. Oxford University Press. pp. 195.
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  42.  37
    On the Lexical Ordering of Social States According To Rawls' Principles of Justice.Juan Hersztajn Moldau - 1992 - Economics and Philosophy 8 (1):141.
    This article is concerned with the selection of an appropriate model of choice to underlie Rawls' two principles of justice. Rawls' first principle of justice states that basic liberty is not to be sacrificed for other objectives, including wealth. His second principle of justice suggests that even a minute decrease in the well-being of the least prosperous classes should not be accepted in exchange for an increase, no matter how large, in the well-being of more (...)-to-do citizens. (shrink)
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  43.  23
    Forensic psychiatry, one subspecialty with two ethics? A systematic review.Gérard Niveau & Ida Welle - 2018 - BMC Medical Ethics 19 (1):25.
    Forensic psychiatry is a particular subspecialty within psychiatry, dedicated in applying psychiatric knowledge and psychiatric training for particular legal purposes. Given that within the scope of forensic psychiatry, a third party usually intervenes in the patient-doctor relationship, an amendment of the traditional ethical principles seems justified. Thus, 47 articles, two book chapters and the guidelines produced by the World Psychiatric Association, the American Association of Psychiatry and the Law, as well as by the Royal Australian and New Zealand College (...)
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  44.  8
    Constructive Order Theory.Marcel Erné - 2001 - Mathematical Logic Quarterly 47 (2):211-222.
    We introduce the notion of constructive suprema and of constructively directed sets. The Axiom of Choice turns out to be equivalent to the postulate that every supremum is constructive, but also to the hypothesis that every directed set admits a function assigning to each finite subset an upper bound. The Axiom of Multiple Choice implies a simple set-theoretical induction principle , stating that any system of sets that is closed under unions of well-ordered subsystems and contains all finite (...)
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  45.  7
    Philosophical Principle of the Anthropic Locality Within the Political Governance’s Interdisciplinary Justification.O. L. Tupytsia & A. O. Khmelnykov - 2023 - Anthropological Measurements of Philosophical Research 23:25-33.
    _The purpose_ of the article is to clarify the philosophical principle of the local in the context of modern political governance. _The theoretical basis_ of the research embraces scenario analysis, dialectical and existential approaches, as well as philosophical anthropology and philosophy of communication. Local communities are a specific reflection of the connection between a person and a place. The specifics of the formation of a special mode of being, which forms and reproduces relations of loyalty, mutual understanding, and (...)
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  46.  6
    Microsatellite instability and a TGFβ receptor: Clues to A growth control pathway.John R. Benson & K. Wells - 1995 - Bioessays 17 (12):1009-1012.
    Defects of growth inhibitory pathways have an important role in disorders of cell growth and differentiation. The discovery of a mutation in one of the principle components of the transforming growth factor β (TGFβ) receptor system which is linked to a DNA repair defect(1) represents one possible mechanism of escape from negative regulatory influences acting upon cells. TGFβ is a pre‐eminent negative growth factor and this article discusses (1) the role of TGFβ in maintaining epithelial homeostasis; (2) how breakdown (...)
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  47.  16
    An Analysis of Knowledge and Valuation. [REVIEW]Rulon S. Wells - 1949 - Review of Metaphysics 2 (7):99-115.
    The expectation is fulfilled, but in an unexpected way. 'The first studies toward this book were addressed to topics in the field of ethics' ; but our author, like Wagner composing 'Der Ring des Nibelungen', found himself becoming preoccupied with prolegomena. To these the present volume is wholly devoted. In order to establish its fundamental thesis that valuation is a form of empirical knowledge, two preparatory discussions are called for. An analysis of empirical knowledge in general is one of these; (...)
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  48.  12
    Whistling in the Library of Babel: Meta-Principles and Second-Order Religious Language About Divine Revelation in Tpoj.Jaco Gericke - 2022 - European Journal for Philosophy of Religion 14 (4):343-359.
    “Those are my principles, and if you don’t like them...well, I have others.”Groucho MarxWe also know of another superstition of that time: that of the Man of the Book. On some shelf in some hexagon (men reasoned) there must exist a book which is the formula and perfect compendium of all the rest: some librarian has gone through it and he is analogous to a god.... How could one locate the venerated and secret hexagon which housed Him? Someone proposed (...)
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  49.  20
    Partition Principles and Infinite Sums of Cardinal Numbers.Masasi Higasikawa - 1995 - Notre Dame Journal of Formal Logic 36 (3):425-434.
    The Axiom of Choice implies the Partition Principle and the existence, uniqueness, and monotonicity of (possibly infinite) sums of cardinal numbers. We establish several deductive relations among those principles and their variants: the monotonicity follows from the existence plus uniqueness; the uniqueness implies the Partition Principle; the Weak Partition Principle is strictly stronger than the Well-Ordered Choice.
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  50.  41
    Principles and Policies: What Can We Learn from Popper’s “Piecemeal Social Engineering” for Ideal and Nonideal Theory?Harald Stelzer - 2016 - Philosophy of the Social Sciences 46 (4):375-391.
    Even though social engineering has gained a bad reputation, due to new possibilities in the information age, it may be time to reconsider Karl Popper’s conception of “piecemeal social engineering.” Piecemeal social engineering is not only an element within Popper’s open society. It also connects his political philosophy to his philosophy of science and his evolutionary epistemology. Furthermore, it seems to fit well into the search for implementation strategies for policies and social actions in the context of nonideal theory. (...)
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