Results for 'Skolem’s non-standard integers '

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  1. Tools, Objects, and Chimeras: Connes on the Role of Hyperreals in Mathematics.Vladimir Kanovei, Mikhail G. Katz & Thomas Mormann - 2013 - Foundations of Science 18 (2):259-296.
    We examine some of Connes’ criticisms of Robinson’s infinitesimals starting in 1995. Connes sought to exploit the Solovay model S as ammunition against non-standard analysis, but the model tends to boomerang, undercutting Connes’ own earlier work in functional analysis. Connes described the hyperreals as both a “virtual theory” and a “chimera”, yet acknowledged that his argument relies on the transfer principle. We analyze Connes’ “dart-throwing” thought experiment, but reach an opposite conclusion. In S , all definable sets of reals (...)
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  2. Non-standard models in a broader perspective.Haim Gaifman - manuscript
    Non-standard models were introduced by Skolem, first for set theory, then for Peano arithmetic. In the former, Skolem found support for an anti-realist view of absolutely uncountable sets. But in the latter he saw evidence for the impossibility of capturing the intended interpretation by purely deductive methods. In the history of mathematics the concept of a nonstandard model is new. An analysis of some major innovations–the discovery of irrationals, the use of negative and complex numbers, the modern concept of (...)
     
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  3.  60
    Non-standard models for formal logics.J. Barkley Rosser & Hao Wang - 1950 - Journal of Symbolic Logic 15 (2):113-129.
    In his doctor's thesis [1], Henkin has shown that if a formal logic is consistent, and sufficiently complex, then it must admit a non-standard model. In particular, he showed that there must be a model in which that portion of the model which is supposed to represent the positive integers of the formal logic is not in fact isomorphic to the positive integers; indeed it is not even well ordered by what is supposed to be the relation (...)
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  4.  21
    Review: J. Barkley Rosser, Hao Wang, Non-Standard Models for Formal Logics. [REVIEW]Th Skolem - 1951 - Journal of Symbolic Logic 16 (2):145-146.
  5.  10
    Rosser J. Barkley and Wang Hao. Non-standard models for formal logics. [REVIEW]Th Skolem - 1951 - Journal of Symbolic Logic 16 (2):145-146.
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  6.  11
    Non-standard analysis; polymer models, quantum fields.S. Albeverio - 1984 - In Heinrich Mitter & Ludwig Pittner (eds.), Stochastic Methods and Computer Techniques in Quantum Dynamics. Springer Verlag. pp. 233--254.
    We give an elementary introduction to non-standard analysis and its applications to the theory of stochastic processes. This is based on a joint book with J. E. Fenstad, R. Høegh-Krohn and T. Lindstrøm. In particular we give a discussion of an hyperfinite theory of Dirichlet forms with applications to the study of the Hamiltonian for a quantum mechanical particle in the potential created by a polymer. We also discuss new results on the existence of attractive polymer measures in dimension (...)
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  7.  20
    A non-standard proof in the theory of integration.S. Michael Webb & E. William Chapin - 1973 - Notre Dame Journal of Formal Logic 14 (1):125-128.
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  8.  29
    The Essential Tension in Phenomenal Consciousness.Søren Harnow Klausen - 2020 - Philosophical Papers 49 (1):159-190.
    The contemporary standard view of phenomenal consciousness —shared by reductionists and non-reductionists alike—takes it to be a simple, ‘low-level’, ‘pre-reflective’ feature of mental states,...
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  9.  6
    Photo-Fiction, a Non-Standard Aesthetics.Drew S. Burk (ed.) - 2012 - Univocal Publishing.
    Twenty years after cultivating a new orientation for aesthetics via the concept of non-photography, François Laruelle returns, having further developed his notion of a non-standard aesthetics. Published for the first time in a bilingual edition, _Photo-Fiction, a Non-Standard Aesthetics_ expounds on Laruelle’s current explorations into a photographic thinking as an alternative to the worn-out notions of aesthetics based on an assumed domination of philosophy over art. He proposes a new philosophical photo-fictional apparatus, or philo-fiction, that strives for a (...)
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  10.  46
    A Non-Standard Analysis of a Cultural Icon: The Case of Paul Halmos.Piotr Błaszczyk, Alexandre Borovik, Vladimir Kanovei, Mikhail G. Katz, Taras Kudryk, Semen S. Kutateladze & David Sherry - 2016 - Logica Universalis 10 (4):393-405.
    We examine Paul Halmos’ comments on category theory, Dedekind cuts, devil worship, logic, and Robinson’s infinitesimals. Halmos’ scepticism about category theory derives from his philosophical position of naive set-theoretic realism. In the words of an MAA biography, Halmos thought that mathematics is “certainty” and “architecture” yet 20th century logic teaches us is that mathematics is full of uncertainty or more precisely incompleteness. If the term architecture meant to imply that mathematics is one great solid castle, then modern logic tends to (...)
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  11.  2
    Explicitly Non-Standard Uniserial Modules.Birge Huisgen-Zimmermann, Laszlo Fuchs, Saharon Shelah, Paul C. Eklof, P. C. Eklof & S. Shelah - 2002 - Bulletin of Symbolic Logic 8 (3):441.
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  12. Thinking about Values in Science: Ethical versus Political Approaches.S. Andrew Schroeder - 2022 - Canadian Journal of Philosophy 52 (3):246-255.
    Philosophers of science now broadly agree that doing good science involves making non-epistemic value judgments. I call attention to two very different normative standards which can be used to evaluate such judgments: standards grounded in ethics and standards grounded in political philosophy. Though this distinction has not previously been highlighted, I show that the values in science literature contain arguments of each type. I conclude by explaining why this distinction is important. Seeking to determine whether some value-laden determination meets substantive (...)
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  13.  8
    Kaplansky's Problem on Valuation RingsA Transfer Theorem for Nonstandard UniserialsOn a Conjecture regarding Nonstandard Uniserial ModulesExplicitly Non-Standard Uniserial Modules.Birge Huisgen-Zimmermann, Laszlo Fuchs, Saharon Shelah, Paul C. Eklof, P. C. Eklof & S. Shelah - 2002 - Bulletin of Symbolic Logic 8 (3):441.
  14.  26
    Impact of Donor-imposed Requirements and Restrictions on Standards of Prevention and Access to Care and Treatment in HIV Prevention Trials.S. Philpott, K. West Slevin, K. Shapiro & L. Heise - 2010 - Public Health Ethics 3 (3):220-228.
    The number of women living with HIV/AIDS is increasing worldwide, and there is an urgent public health need to develop new user-initiated HIV prevention methods, including microbicides. Although funding for microbicide development has increased since 2000, financial support is provided predominantly by governmental agencies and private foundations. Many donors, including the US Agency for International Development (USAID) and the US National Institutes of Health (NIH), have policies that restrict how research funds may be used. Among these are the now-rescinded Mexico (...)
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  15.  63
    Hume's Bundles, Self-Consciousness and Kant.S. C. Patten - 1976 - Hume Studies 2 (2):59-75.
    In lieu of an abstract, here is a brief excerpt of the content:HUME'S BUNDLES, SELF-CONSCIOUSNESS AND KANT Even if we are inclined to view Hume's attempt to explain ascriptions of personal identity as an abysmal failure, we might still be sympathetic toward his proposal to replace the going substance theory of the nature of mind with his bundle account. Thus we might fault Hume for erecting an unachievably high standard for personal identity, or round on him for excluding bodily (...)
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  16.  3
    In Defense of Standard Approach to Logico-Semantic Explication of Non-Specific Transparent Interpretation of Propositional Attitude Reports.Petr S. Kusliy & Куслий Петр Сергеевич - 2023 - RUDN Journal of Philosophy 27 (3):677-697.
    This study explores the phenomenon of the so-called “third reading” of propositional attitude reports. This reading, which was originally explored in the dissertation of J. Fodor (1973) and has since become one of the significant problems in the formal semantics of natural languages, differs from the more well-known de re and de dicto readings by being an intermediate case. If the de re interpretation can be referred to as transparent specific, and the de dicto interpretation as opaque non-specific, then the (...)
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  17.  49
    The Dretske–Tooley–Armstrong theory of natural laws and the inference problem.Joan Page`S. - 2002 - International Studies in the Philosophy of Science 16 (3):227-243.
    In this article I intend to show that the inference problem, one of the main objections raised against the anti-Humean theory of natural laws defended by Dretske, Tooley and Armstrong (?DTA theory? for short), can be successfully answered. First, I argue that a proper solution should meet two essential requirements that the proposals made by the DTA theorists do not satisfy. Then I state a solution to the inference problem that assumes a local immanentistic view of universals, a partial definition (...)
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  18.  7
    Solidarity and Social Cohesion in Late Modernity: A Question of Recognition, Justice and Judgement in Situation.Søren Juul - 2010 - European Journal of Social Theory 13 (2):253-269.
    The aim of this article is to contribute to the formulation of a non-excluding concept of solidarity which is of relevance to contemporary society. The assumption is that in the present individualized and culturally diverse society there is an urgent need for a new form of solidarity to create social cohesion. The central theme is that contemporary solidarity is about recognition and a fair distribution of chances for recognition. This ideal may function as a normative standard for critical research (...)
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  19.  32
    The psychological profile of parents who volunteer their children for clinical research: a controlled study.S. C. Harth, R. R. Johnstone & Y. H. Thong - 1992 - Journal of Medical Ethics 18 (2):86-93.
    Three standard psychometric tests were administered to parents who volunteered their children for a randomised, double-blind placebo-controlled trial of a new asthma drug and to a control group of parents whose children were eligible for the trial but had declined the invitation. The trial took place at a children's hospital in Australia. The subjects comprised 68 parents who had volunteered their children and 42 who had not, a participation rate of 94 per cent and 70 per cent, respectively. The (...)
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  20.  67
    Naïve realism and the problem of illusion.Søren Overgaard - 2022 - Analytic Philosophy 63 (3):174-191.
    As standardly conceived, an illusion is a case in which appearances in at least one respect conflict with reality. Such a conflict only obtains in cases where a non-F object appears to be F – appears F in a ‘committal’ way, as I put it. It is, however, possible for an object to appear F in a non-committal way – i.e., without appearing to be F. The paper discusses a number of recent naïve realist attempts to account for illusion. Drawing (...)
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  21. Inequality.Larry S. Temkin - 1993 - Oxford University Press. Edited by Louis P. Pojman & Robert Westmoreland.
    In this book Larry Temkin examines the concepts of equality and inequality, and addresses one particular question in depth: how can we judge between different sorts of inequality? When is one inequality worse than another? Temkin shows that there are many different factors underlying and influencing our egalitarian judgments and that the notion of inequality is surprisingly complex. He looks at inequality as applied to individuals and to groups, and at the standard measures of inequality employed by economists and (...)
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  22.  89
    Axiomatic foundations of non-relativistic quantum mechanics: A realistic approach.S. E. Perez Bergliaffa, Gustavo E. Romero & H. Vucetich - 1993 - International Journal of Theoretical Physics 32 (9):1507-1522.
    A realistic axiomatic formulation of nonrelativistic quantum mechanics for a single microsystem with spin is presented, from which the most important theorems of the theory can be deduced. In comparison with previous formulations, the formal aspect has been improved by the use of certain mathematical theories, such as the theory of equipped spaces, and group theory. The standard formalism is naturally obtained from the latter, starting from a central primitive concept: the Galilei group.
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  23.  57
    The Effects of Fraud and Lawsuit Revelation on U.S. Executive Turnover and Compensation.Obeua S. Persons - 2006 - Journal of Business Ethics 64 (4):405-419.
    This study investigates the impact of fraud/lawsuit revelation on U.S. top executive turnover and compensation. It also examines potential explanatory variables affecting the executive turnover and compensation among U.S. fraud/lawsuit firms. Four important findings are documented. First, there was significantly higher executive turnover among U.S. firms with fraud/lawsuit revelation in the Wall Street Journal than matched firms without such revelation. Second, although on average, U.S. top executives received an increase in cash compensation after fraud/lawsuit revelation, this increase is smaller than (...)
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  24.  6
    The Problematic Aspects of Creating an Ethics of Faith Training Course.S. Kyrylenko & O. Komanyeva - 2005 - Ukrainian Religious Studies 36:229-235.
    One of the guaranteed state-controlled rights is the right to education. In independent Ukraine, the right to choose an educational institution, depending on the parents' financial capacities, their vision of the child's future employment and his or her abilities, is legally justified. The content of education, in addition to the compulsory, standardized component to be provided by public schools, includes the optional optional component. As an educational subject to teach students proper behavior, from September 1, grades 5-6 have introduced the (...)
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  25.  18
    Formal ontologies in biomedical knowledge representation.S. Schulz & L. Jansen - 2013 - In M.-C. Jaulent, C. U. Lehmann & B. Séroussi (eds.), Yearbook of Medical Informatics 8. pp. 132-146.
    Objectives: Medical decision support and other intelligent applications in the life sciences depend on increasing amounts of digital information. Knowledge bases as well as formal ontologies are being used to organize biomedical knowledge and data. However, these two kinds of artefacts are not always clearly distinguished. Whereas the popular RDF(S) standard provides an intuitive triple-based representation, it is semantically weak. Description logics based ontology languages like OWL-DL carry a clear-cut semantics, but they are computationally expensive, and they are often (...)
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  26.  5
    Vaught’s conjecture for almost chainable theories.Miloš S. Kurilić - 2021 - Journal of Symbolic Logic 86 (3):991-1005.
    A structure ${\mathbb Y}$ of a relational language L is called almost chainable iff there are a finite set $F \subset Y$ and a linear order $\,<$ on the set $Y\setminus F$ such that for each partial automorphism $\varphi $ of the linear order $\langle Y\setminus F, <\rangle $ the mapping $\mathop {\mathrm {id}}\nolimits _F \cup \varphi $ is a partial automorphism of ${\mathbb Y}$. By theorems of Fraïssé and Pouzet, an infinite structure ${\mathbb Y}$ is almost chainable iff the (...)
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  27.  92
    Splitting and nonsplitting II: A low {\sb 2$} C.E. degree about which ${\bf 0}'$ is not splittable.S. Barry Cooper & Angsheng Li - 2002 - Journal of Symbolic Logic 67 (4):1391-1430.
    It is shown that there exists a low2 Harrington non-splitting base-that is, a low2 computably enumerable (c.e.) degree a such that for any c.e. degrees x, y, if $0' = x \vee y$ , then either $0' = x \vee a$ or $0' = y \vee a$ . Contrary to prior expectations, the standard Harrington non-splitting construction is incompatible with the $low_{2}-ness$ requirements to be satisfied, and the proof given involves new techniques with potentially wider application.
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  28.  9
    Dance Movement Therapy for Clients With a Personality Disorder: A Systematic Review and Thematic Synthesis.S. T. Kleinlooh, R. A. Samaritter, R. M. van Rijn, G. Kuipers & J. H. Stubbe - 2021 - Frontiers in Psychology 12.
    Background: People with a personality disorder suffer from enduring inflexible patterns in cognitions and emotions, leading to significant subjective distress, affecting both self and interpersonal functioning. In clinical practice, Dance Movement Therapy is provided to clients with a PD, and although research continuously confirms the value of DMT for many populations, to date, there is very limited information available on DMT and PD. For this study, a systematic literature review on DMT and PD was conducted to identify the content of (...)
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  29. Carnal Knowledge Is the Key: A Discussion of How Non-Geographic Miller Standards Apply to the Internet.Robin S. Whitehead - 2005 - Nexus 10:49.
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  30.  13
    Mentored peer review of standardized manuscripts as a teaching tool for residents: a pilot randomized controlled multi-center study.Mitchell S. V. Elkind, David C. Spencer, Linda M. Selwa, Patrick S. Reynolds, Raymond S. Price, Tracey A. Milligan, MaryAnn Mays, Zachary N. London, Joseph S. Kass, Sheryl R. Haut, Blair Ford, Yeseon Park Moon, Rebeca Aragón-García, Roy E. Strowd & Victoria S. S. Wong - 2017 - Research Integrity and Peer Review 2 (1).
    BackgroundThere is increasing need for peer reviewers as the scientific literature grows. Formal education in biostatistics and research methodology during residency training is lacking. In this pilot study, we addressed these issues by evaluating a novel method of teaching residents about biostatistics and research methodology using peer review of standardized manuscripts. We hypothesized that mentored peer review would improve resident knowledge and perception of these concepts more than non-mentored peer review, while improving review quality.MethodsA partially blinded, randomized, controlled multi-center study (...)
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  31.  11
    Spontaneous Facial Actions Map onto Emotional Experiences in a Non-social Context: Toward a Component-Based Approach.Shushi Namba, Russell S. Kabir, Makoto Miyatani & Takashi Nakao - 2017 - Frontiers in Psychology 8:257608.
    While numerous studies have examined the relationships between facial actions and emotions, they have yet to account for the ways that specific spontaneous facial expressions map onto emotional experiences induced without expressive intent. Moreover, previous studies emphasized that a fine-grained investigation of facial components could establish the coherence of facial actions with actual internal states. Therefore, this study aimed to accumulate evidence for the correspondence between spontaneous facial components and emotional experiences. We reinvestigated data from previous research which secretly recorded (...)
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  32.  16
    Personality Disruption as Mental Torture: The CIA, Interrogational Abuse, and the U.S. Torture Act.David Luban & Katherine S. Newell - 2019 - Georgetown Law Journal 108 (2).
    This Article is a contribution to the torture debate. It argues that the abusive interrogation tactics used by the United States in what was then called the “global war on terrorism” are, unequivocally, torture under U.S. law. To some readers, this might sound like déjà vu all over again. Hasn’t this issue been picked over for nearly fifteen years? It has, but we think the legal analysis we offer has been mostly overlooked. We argue that the basic character of the (...)
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  33.  29
    Meister Eckhart’s Non-standard Natural Theology.Roberto Vinco - 2016 - Neue Zeitschrift für Systematicsche Theologie Und Religionsphilosophie 58 (4):473-488.
    Name der Zeitschrift: Neue Zeitschrift für Systematische Theologie und Religionsphilosophie Jahrgang: 58 Heft: 4 Seiten: 473-488.
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  34.  25
    With one's eyes half-closed, a particle of Laruelle.Drew S. Burk - 2014 - Angelaki 19 (2):59-72.
    This essay will strive to provide the reader with various entry points into the project of François Laruelle's non-standard philosophy and its relation to non-aesthetics, via its relation to philosophy as rigorous fiction. It is a new genre, what Laruelle also calls a philo-fiction. Via Laruelle's preoccupation with photography as a new kind of thought, we will follow his trajectory of applying non-philosophy to photography. From his concept of non-photography and continued in Photo-Fiction, a Non-Standard Aesthetics, Laruelle's practice (...)
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  35.  15
    Curt Schmieden's Non-standard Analysis - A Method of Dissolving the Standard Paradoxes of Analysis.Detlef D. Spalt - 2001 - Centaurus 43 (3-4):137-175.
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  36.  5
    Ricardo's Macroeconomics: Money, Trade Cycles, and Growth.Timothy S. Davis - 2005 - Cambridge University Press.
    The outline of modern macroeconomics took shape in Britain in the early nineteenth century thanks, in part, to David Ricardo, one of the most influential economists of the time. Britain was challenged by monetary inflation, industrial unemployment and the loss of jobs abroad. Ricardo pointed the way forward. As a financier and Member of Parliament, he was well versed in politics and commercial affairs. His expertise is shown by the practicality of his proposals, including the resumption of the gold (...), which was essential given the destabilizing policy of the Bank of England. Ricardo's expertise appears also in his debate with T. R. Malthus about whether an industrial economy can suffer a prolonged depression. Say's Law of Markets and the Quantity Theory of Money figure prominently in his works, but not in an extreme form. He was instead a subtle theorist, recognizing the non-neutrality of money, trade depressions and unemployment. (shrink)
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  37.  25
    Happiness: A Revolution in Economics.Bruno S. Frey - 2008 - MIT Press.
    Revolutionary developments in economics are rare. The conservative bias of the field and its enshrined knowledge make it difficult to introduce new ideas not in line with received theory. Happiness research, however, has the potential to change economics substantially in the future. Its findings, which are gradually being taken into account in standard economics, can be considered revolutionary in three respects: the measurement of experienced utility using psychologists' tools for measuring subjective well-being; new insights into how human beings value (...)
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  38. The Speaker Authority Problem for Context-Sensitivity.Karen S. Lewis - 2020 - Erkenntnis 85 (6):1527-1555.
    Context-sensitivity raises a metasemantic question: what determines the value of a context-sensitive expression in context? Taking gradable adjectives as a case study, this paper argues against various forms of intentionalist metasemantics, i.e. that speaker intentions determine values for context-sensitive expressions in context, including the coordination account recently defended by King :219–237, 2014a; in: Burgess, Sherman Metasemantics: New essays on the foundations of meaning, Oxford University Press, Oxford, pp 97–118, 2014b). The paper argues that all intentionalist accounts face the speaker authority (...)
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  39. Parental Refusals of Blood Transfusions from COVID-19 Vaccinated Donors for Children Needing Cardiac Surgery.Daniel H. Kim, Emily Berkman, Jonna D. Clark, Nabiha H. Saifee, Douglas S. Diekema & Mithya Lewis-Newby - 2023 - Narrative Inquiry in Bioethics 13 (3):215-226.
    There is a growing trend of refusal of blood transfusions from COVID-19 vaccinated donors. We highlight three cases where parents have refused blood transfusions from COVID-19 vaccinated donors on behalf of their children in the setting of congenital cardiac surgery. These families have also requested accommodations such as explicit identification of blood from COVID-19 vaccinated donors, directed donation from a COVID-19 unvaccinated family member, or use of a non-standard blood supplier. We address the ethical challenges posed by these issues. (...)
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  40.  35
    Rembrandt’s Art: A Paradigm for Critical Thinking and Aesthetics.Mark S. Conn - 2008 - Journal of Aesthetic Education 42 (2):pp. 68-82.
    In lieu of an abstract, here is a brief excerpt of the content:Rembrandt’s Art: A Paradigm for Critical Thinking and AestheticsMark S. Conn (bio)IntroductionThe purpose of art is to lay bare the questions, which have been hidden by the answers.—James BaldwinPhilosophers have asked, How do we know the world? Over centuries, many visual artists have responded to this question by provoking us to see the world differently—through their own eyes. Rembrandt, by no small measure, is one of those artists. While (...)
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  41.  32
    Metasemantics without semantic intentions.Karen S. Lewis - 2022 - Inquiry: An Interdisciplinary Journal of Philosophy 65 (8):991-1019.
    ABSTRACT The most common answers to metasemantic questions regarding context-sensitive expressions appeal primarily to speakers' intentions. Having rejected intentionalism in Lewis [.” Erkenntnis 85: 1527–1555.], this paper takes a non-intentionalist perspective in answering the metasemantic question: how does a context determine the value of context-sensitive expressions? It focuses on the case of gradable adjectives, i.e. expressions like ‘tall’, ‘expensive’, and ‘rich’, which require a contextually determined standard in the unmarked positive form, as in ‘Pia is tall’. I argue that (...)
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  42.  26
    Happiness: A Revolution in Economics.Bruno S. Frey - 2010 - MIT Press.
    Revolutionary developments in economics are rare. The conservative bias of the field and its enshrined knowledge make it difficult to introduce new ideas not in line with received theory. Happiness research, however, has the potential to change economics substantially in the future. Its findings, which are gradually being taken into account in standard economics, can be considered revolutionary in three respects: the measurement of experienced utility using psychologists' tools for measuring subjective well-being; new insights into how human beings value (...)
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  43.  23
    Limiting Gebser: Institutional liability for non-harassment sex discrimination under title IX.David S. Cohen - manuscript
    In Gebser v. Lago Vista Independent School District, the Supreme Court set an exacting standard for establishing institutional liability under Title IX for a teacher sexually harassing a student. That standard, rejecting the simple application of agency principles and instead requiring a student to notify the school of the harassment and then the school to be deliberately indifferent to the student's complaints, has been inconsistently applied by lower courts faced with other, non-harassment forms of sex discrimination under Title (...)
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  44.  16
    Greater Advaita Vedānta: The Case of Sundardās.Michael S. Allen - 2020 - Journal of Indian Philosophy 48 (1):49-78.
    To understand the history of Advaita Vedānta and its rise to prominence, we need to devote more attention to what might be termed “Greater Advaita Vedānta,” or Advaita Vedānta as expressed outside the standard canon of Sanskrit philosophical works. Elsewhere I have examined the works of Niścaldās (ca. 1791–1863), whose Hindi-language Vicār-sāgar (“The Ocean of Inquiry”) was once referred to by Swami Vivekananda as the most influential book of its day. In this paper, I look back to one of (...)
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  45.  6
    Greater Advaita Vedānta: The Case of Sundardās.Michael S. Allen - 2020 - Journal of Indian Philosophy 48 (1):49-78.
    To understand the history of Advaita Vedānta and its rise to prominence, we need to devote more attention to what might be termed “Greater Advaita Vedānta,” or Advaita Vedānta as expressed outside the standard canon of Sanskrit philosophical works. Elsewhere I have examined the works of Niścaldās, whose Hindi-language Vicār-sāgar was once referred to by Swami Vivekananda as the most influential book of its day. In this paper, I look back to one of Niścaldās’s major influences: Sundardās, a well-known (...)
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  46.  9
    Greater Advaita Vedānta: The Case of Sundardās.Michael S. Allen - 2020 - Journal of Indian Philosophy 48 (1):49-78.
    To understand the history of Advaita Vedānta and its rise to prominence, we need to devote more attention to what might be termed “Greater Advaita Vedānta,” or Advaita Vedānta as expressed outside the standard canon of Sanskrit philosophical works. Elsewhere I have examined the works of Niścaldās, whose Hindi-language Vicār-sāgar was once referred to by Swami Vivekananda as the most influential book of its day. In this paper, I look back to one of Niścaldās’s major influences: Sundardās, a well-known (...)
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  47. Republicanism and Markets.Robert S. Taylor - 2019 - In Yiftah Elazar & Geneviève Rousselière (eds.), Republicanism and the Future of Democracy. Cambridge: Cambridge University Press. pp. 207-223.
    The republican tradition has long been ambivalent about markets and commercial society more generally: from the contrasting positions of Rousseau and Smith in the eighteenth century to recent neorepublican debates about capitalism, republicans have staked out diverse positions on fundamental issues of political economy. Rather than offering a systematic historical survey of these discussions, this chapter will instead focus on the leading neo-republican theory—that of Philip Pettit—and consider its implications for market society. As I will argue, Pettit’s theory is even (...)
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  48.  4
    The Dretske–Tooley–Armstrong theory of natural laws and the inference problem. Pag&Grave & Joan S. - 2002 - International Studies in the Philosophy of Science 16 (3):227-243.
    In this article I intend to show that the inference problem, one of the main objections raised against the anti-Humean theory of natural laws defended by Dretske, Tooley and Armstrong (“DTA theory” for short), can be successfully answered. First, I argue that a proper solution should meet two essential requirements that the proposals made by the DTA theorists do not satisfy. Then I state a solution to the inference problem that assumes a local immanentistic view of universals, a partial definition (...)
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  49.  29
    Degrees of Unsolvability of Continuous Functions.Joseph S. Miller - 2004 - Journal of Symbolic Logic 69 (2):555 - 584.
    We show that the Turing degrees are not sufficient to measure the complexity of continuous functions on [0, 1]. Computability of continuous real functions is a standard notion from computable analysis. However, no satisfactory theory of degrees of continuous functions exists. We introduce the continuous degrees and prove that they are a proper extension of the Turing degrees and a proper substructure of the enumeration degrees. Call continuous degrees which are not Turing degrees non-total. Several fundamental results are proved: (...)
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  50.  42
    Logical Connectives on Lattice Effect Algebras.D. J. Foulis & S. Pulmannová - 2012 - Studia Logica 100 (6):1291-1315.
    An effect algebra is a partial algebraic structure, originally formulated as an algebraic base for unsharp quantum measurements. In this article we present an approach to the study of lattice effect algebras (LEAs) that emphasizes their structure as algebraic models for the semantics of (possibly) non-standard symbolic logics. This is accomplished by focusing on the interplay among conjunction, implication, and negation connectives on LEAs, where the conjunction and implication connectives are related by a residuation law. Special cases of LEAs (...)
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