Results for ' p-adically closed fields'

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  1.  7
    Abelian groups definable in P-adically closed fields.Will Johnson & Y. A. O. Ningyuan - forthcoming - Journal of Symbolic Logic:1-22.
    Recall that a group G has finitely satisfiable generics (fsg) or definable f-generics (dfg) if there is a global type p on G and a small model $M_0$ such that every left translate of p is finitely satisfiable in $M_0$ or definable over $M_0$, respectively. We show that any abelian group definable in a p-adically closed field is an extension of a definably compact fsg definable group by a dfg definable group. We discuss an approach which might prove (...)
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  2.  6
    Topologizing Interpretable Groups in p-Adically Closed Fields.Will Johnson - 2023 - Notre Dame Journal of Formal Logic 64 (4):571-609.
    We consider interpretable topological spaces and topological groups in a p-adically closed field K. We identify a special class of “admissible topologies” with topological tameness properties like generic continuity, similar to the topology on definable subsets of Kn. We show that every interpretable set has at least one admissible topology, and that every interpretable group has a unique admissible group topology. We then consider definable compactness (in the sense of Fornasiero) on interpretable groups. We show that an interpretable (...)
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  3.  28
    P-adically closed fields with nonstandard analytic structure.Ali Bleybel - 2010 - Journal of Symbolic Logic 75 (3):802-816.
    We prove quantifier elimination for the field ${\Bbb Q}_{p}((t^{{\Bbb Q}}))$ (the completion of the field of Puiseux series over ${\Bbb Q}_{p}$ ) in Macintyre's language together with symbols for functions in a class containing both t-adically and p-adically overconvergent functions. We also show that the theory of ${\Bbb Q}_{p}((t^{{\Bbb Q}}))$ is b-minimal in this language.
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  4.  20
    Reducts of p-adically closed fields.Eva Leenknegt - 2014 - Archive for Mathematical Logic 53 (3-4):285-306.
    In this paper, we consider reducts of p-adically closed fields. We introduce a notion of shadows: sets Mf={∈K2∣|y|=|f|}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${M_f = \{ \in K^2 \mid |y| = |f|\}}$$\end{document}, where f is a semi-algebraic function. Adding symbols for such sets to a reduct of the ring language, we obtain expansions of the semi-affine language where multiplication is nowhere definable, thus giving a negative answer to a question posed by Marker, Peterzil and (...)
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  5.  7
    A note on fsg$\text{fsg}$ groups in padically closed fields.Will Johnson - 2023 - Mathematical Logic Quarterly 69 (1):50-57.
    Let G be a definable group in a p-adically closed field M. We show that G has finitely satisfiable generics ( fsg $\text{fsg}$ ) if and only if G is definably compact. The case M = Q p $M = \mathbb {Q}_p$ was previously proved by Onshuus and Pillay.
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  6.  10
    On Groups with Definable F_-Generics Definable in _P-Adically Closed Fields.Anand Pillay & Y. A. O. Ningyuan - 2023 - Journal of Symbolic Logic 88 (4):1334-1353.
    The aim of this paper is to develop the theory of groups definable in the p-adic field ${{\mathbb {Q}}_p}$, with “definable f-generics” in the sense of an ambient saturated elementary extension of ${{\mathbb {Q}}_p}$. We call such groups definable f-generic groups.So, by a “definable f-generic” or $dfg$ group we mean a definable group in a saturated model with a global f-generic type which is definable over a small model. In the present context the group is definable over ${{\mathbb {Q}}_p}$, and (...)
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  7.  24
    Pseudo real closed fields, pseudo p-adically closed fields and NTP2.Samaria Montenegro - 2017 - Annals of Pure and Applied Logic 168 (1):191-232.
  8. The elementary theory of free pseudo p-adically closed fields of finite corank.Ido Efrat - 1991 - Journal of Symbolic Logic 56 (2):484-496.
  9.  30
    A note on groups definable in the p -adic field.Anand Pillay & Ningyuan Yao - 2019 - Archive for Mathematical Logic 58 (7-8):1029-1034.
    It is known Hrushovski and Pillay that a group G definable in the field \ of p-adic numbers is definably locally isomorphic to the group \\) of p-adic points of a algebraic group H over \. We observe here that if H is commutative then G is commutative-by-finite. This shows in particular that any one-dimensional group G definable in \ is commutative-by-finite. This result extends to groups definable in p-adically closed fields. We prove our results in the (...)
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  10.  12
    On non-compact p-adic definable groups.Will Johnson & Ningyuan Yao - 2022 - Journal of Symbolic Logic 87 (1):188-213.
    In [16], Peterzil and Steinhorn proved that if a group G definable in an o-minimal structure is not definably compact, then G contains a definable torsion-free subgroup of dimension 1. We prove here a p-adic analogue of the Peterzil–Steinhorn theorem, in the special case of abelian groups. Let G be an abelian group definable in a p-adically closed field M. If G is not definably compact then there is a definable subgroup H of dimension 1 which is not (...)
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  11.  91
    Cell decomposition for semibounded p-adic sets.Eva Leenknegt - 2013 - Archive for Mathematical Logic 52 (5-6):667-688.
    We study a reduct ${\mathcal{L}_*}$ of the ring language where multiplication is restricted to a neighbourhood of zero. The language is chosen such that for p-adically closed fields K, the ${\mathcal{L}_*}$ -definable subsets of K coincide with the semi-algebraic subsets of K. Hence structures (K, ${\mathcal{L}_*}$ ) can be seen as the p-adic counterpart of the o-minimal structure of semibounded sets. We show that in this language, p-adically closed fields admit cell decomposition, using cells (...)
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  12.  3
    One-dimensional subgroups and connected components in non-Abelian P-adic definable groups.William Johnson & Ningyuan Yao - forthcoming - Journal of Symbolic Logic:1-19.
    We generalize two of our previous results on abelian definable groups in p-adically closed fields [12, 13] to the non-abelian case. First, we show that if G is a definable group that is not definably compact, then G has a one-dimensional definable subgroup which is not definably compact. This is a p-adic analogue of the Peterzil–Steinhorn theorem for o-minimal theories [16]. Second, we show that if G is a group definable over the standard model $\mathbb {Q}_p$, then (...)
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  13.  55
    Quantifier elimination in Tame infinite p-adic fields.Ingo Brigandt - 2001 - Journal of Symbolic Logic 66 (3):1493-1503.
    We give an answer to the question as to whether quantifier elimination is possible in some infinite algebraic extensions of Qp (‘infinite p-adic fields’) using a natural language extension. The present paper deals with those infinite p-adic fields which admit only tamely ramified algebraic extensions (so-called tame fields). In the case of tame fields whose residue fields satisfy Kaplansky’s condition of having no extension of p-divisible degree quantifier elimination is possible when the language of valued (...)
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  14.  6
    Model completion of scaled lattices and co‐Heyting algebras of p‐adic semi‐algebraic sets.Luck Darnière - 2019 - Mathematical Logic Quarterly 65 (3):305-331.
    Let p be prime number, K be a p‐adically closed field, a semi‐algebraic set defined over K and the lattice of semi‐algebraic subsets of X which are closed in X. We prove that the complete theory of eliminates quantifiers in a certain language, the ‐structure on being an extension by definition of the lattice structure. Moreover it is decidable, contrary to what happens over a real closed field for. We classify these ‐structures up to elementary equivalence, (...)
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  15.  6
    Existentially closed fields with holomorphy rings.Joachim Schmid - 1997 - Archive for Mathematical Logic 36 (2):127-135.
    Abstract.In this paper we show that the theory of fields together with an integrally closed subring, the theory of formally real fields with a real holomorphy ring and the theory of formally \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $p$\end{document}-adic fields with a \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $p$\end{document}-adic holomorphy ring have no model companions in the language of fields augmented by a unary predicate for the corresponding (...)
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  16.  46
    Real closed fields and models of Peano arithmetic.P. D'Aquino, J. F. Knight & S. Starchenko - 2010 - Journal of Symbolic Logic 75 (1):1-11.
    Shepherdson [14] showed that for a discrete ordered ring I, I is a model of IOpen iff I is an integer part of a real closed ordered field. In this paper, we consider integer parts satisfying PA. We show that if a real closed ordered field R has an integer part I that is a nonstandard model of PA (or even IΣ₄), then R must be recursively saturated. In particular, the real closure of I, RC (I), is recursively (...)
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  17.  63
    Cell decomposition for P‐minimal fields.Marie-Hélène Mourgues - 2009 - Mathematical Logic Quarterly 55 (5):487-492.
    In [12], P. Scowcroft and L. van den Dries proved a cell decomposition theorem for p-adically closed fields. We work here with the notion of P-minimal fields defined by D. Haskell and D. Macpherson in [6]. We prove that a P-minimal field K admits cell decomposition if and only if K has definable selection. A preprint version in French of this result appeared as a prepublication [8].
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  18. Real closed fields and models of arithmetic (vol 75, pg 1, 2010).P. D'Aquino, J. F. Knight & S. Starchenko - 2012 - Journal of Symbolic Logic 77 (2).
  19.  25
    Corrigendum to: “Real closed fields and models of arithmetic”.P. D'Aquino, J. F. Knight & S. Starchenko - 2012 - Journal of Symbolic Logic 77 (2):726-726.
  20.  74
    Every real closed field has an integer part.M. H. Mourgues & J. P. Ressayre - 1993 - Journal of Symbolic Logic 58 (2):641-647.
    Let us call an integer part of an ordered field any subring such that every element of the field lies at distance less than 1 from a unique element of the ring. We show that every real closed field has an integer part.
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  21.  27
    Illocutionary Acts and Sentence Meaning.William P. Alston - 2000 - Cornell University Press.
    What is it for a sentence to have a certain meaning? This is the question that the distinguished analytic philosopher William P. Alston addresses in this major contribution to the philosophy of language. His answer focuses on the given sentence's potential to play the role that its speaker had in mind, what he terms the usability of the sentence to perform the illocutionary act intended by its speaker. Alston defines an illocutionary act as an act of saying something with a (...)
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  22.  19
    Complementary aspects of gravitation and electromagnetism.P. F. Browne - 1977 - Foundations of Physics 7 (3-4):165-183.
    A convention with regard to geometry, accepting nonholonomic aether motion and coordinate-dependent units, is always valid as an alternative to Einstein's convention. Choosing flat spacetime, Newtonian gravitation is extended, step by step, until equations closely analogous to those of Einstein's theory are obtained. The first step, demanded by considerations of inertia, is the introduction of a vector potential. Treating the electromagnetic and gravitational fields as real and imaginary components of a complex field (gravitational mass being treated as imaginary charge), (...)
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  23.  12
    On simplicity of bounded pseudoalgebraically closed structures.O. P. Nicholas Marie Polkowska - 2007 - Journal of Mathematical Logic 7 (2):173-193.
    Bounded PAC substructures of models of stable theory T are generalizations of bounded PAC fields and bounded PAC beautiful pairs generalize Poizat's beautiful pairs. Both notions were introduced in the authors Ph.D. thesis. In this paper, we prove that under the assumption that the PAC property is first order for T, the theory of any bounded PAC structure is simple. Moreover, if the PAC property is first order for T and T does not have the finite cover property, then (...)
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  24.  22
    Exploring the Gray Area: Similarities and Differences in Questionable Research Practices (QRPs) Across Main Areas of Research.Mads P. Sørensen & Tine Ravn - 2021 - Science and Engineering Ethics 27 (4):1-33.
    This paper explores the gray area of questionable research practices (QRPs) between responsible conduct of research and severe research misconduct in the form of fabrication, falsification, and plagiarism (Steneck in SEE 12(1): 53–57, 2006). Up until now, we have had very little knowledge of disciplinary similarities and differences in QRPs. The paper is the first systematic account of variances and similarities. It reports on the findings of a comprehensive study comprising 22 focus groups on practices and perceptions of QRPs across (...)
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  25.  73
    Episodic autobiographical memory in depression: Specificity, autonoetic consciousness, and self-perspective.C. Lemogne, P. Piolino, S. FriSzer, A. ClAret, N. Girault, R. Jouvent, J. Allilaire & P. Fossati - 2006 - Consciousness and Cognition 15 (2):258-268.
    Autobiographical memory and the self are closely linked. AM retrieval in depression is characterized by a lack of specificity, suggesting an impairment of episodic AM. Autonoetic consciousness and self-perspective, which are critical to episodic AM, have never been addressed in depression. Twenty-one depressed inpatients and 21 matched controls were given an episodic AM task designed to assess positive and negative memories regarding specificity, autonoetic consciousness , and self-perspective . For specificity, “remember”, and “field” responses, ANOVAs revealed a main group effect (...)
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  26.  22
    Innovating editorial practices: academic publishers at work.Willem Halffman & Serge P. J. M. Horbach - 2020 - Research Integrity and Peer Review 5 (1).
    BackgroundTriggered by a series of controversies and diversifying expectations of editorial practices, several innovative peer review procedures and supporting technologies have been proposed. However, adoption of these new initiatives seems slow. This raises questions about the wider conditions for peer review change and about the considerations that inform decisions to innovate. We set out to study the structure of commercial publishers’ editorial process, to reveal how the benefits of peer review innovations are understood, and to describe the considerations that inform (...)
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  27.  4
    Elements of Mathematical Logic. [REVIEW]P. K. H. - 1968 - Review of Metaphysics 21 (4):754-754.
    This recent addition to the Studies in Logic series is a systematic treatise on the set-theoretic, or semantic, approach to mathematical logic and axiomatic method. The basic notions for the discussion are those of different kinds of languages, their realizations, and the models of a formula. The book begins with a preliminary "chapter 0," giving some general theorems about classes of functions defined by finite schemas. These results are directly applicable to the language of truth-functional propositional logic, and such application (...)
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  28.  56
    Introduction: Open Questions in Roboethics.John P. Sullins - 2011 - Philosophy and Technology 24 (3):233-238.
    Roboethics is the recent offshoot of computer ethics that pays special attention to the alterations that need to be made to computer ethics when we give the computer mobility and a means to interact directly in the human environment. The closely related field of machine morality explores how ethical systems and behaviors may be programmed into social robotics applications. As robots move from the factory floor into our homes and work lives, they stand to change key aspects of the way (...)
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  29.  8
    Tense Logic.Robert P. McArthur - 1976 - Dordrecht and Boston: Reidel.
    This monograph is designed to provide an introduction to the principal areas of tense logic. Many of the developments in this ever-growing field have been intentionally excluded to fulfill this aim. Length also dictated a choice between the alternative notations of A. N. Prior and Nicholas Rescher - two pioneers of the subject. I choose Prior's because of the syntactical parallels with the language it symbolizes and its close ties with other branches of logi cal theory, especially modal logic. The (...)
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  30.  37
    Determinism and Indeterminism in Modern Physics. [REVIEW]P. R. - 1957 - Review of Metaphysics 10 (4):717-717.
    This work, which first appeared in 1936, offers in addition to an historical treatment displaying Cassirer's characteristic insight, an analysis of quantum mechanics largely unaffected by subsequent development in the field. The author argues, on the basis of epistemological considerations, that quantum mechanics necessitates no major revisions in our basic understanding of causality. The new laws simply refer to "definite collectives" rather than things or events and are no less determinate than the old. In the final part the author stresses (...)
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  31.  11
    The Cambridge Companion to Natural Law Ethics.Tom P. S. Angier (ed.) - 2019 - New York, NT: Cambridge University Press.
    Natural law ethics centres on the idea that ethical norms derive from human nature. The field has seen a remarkable revival since the millennium, with new work in Aristotelian metaphysics complementing innovative applied work in bioethics, economics and political theory. Starting with three chapters on the history of natural law ethics, this volume moves on to various twentieth-century theoretical innovations in the tradition, and then to natural law as embedded in the three Abrahamic faiths. It closes with sections on applied (...)
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  32.  3
    Domains and Perspectives of Civilizational Analysis.Johann P. Arnason - 2010 - European Journal of Social Theory 13 (1):5-13.
    The revival of civilizational analysis is closely linked to a broader cultural turn in the human sciences. Comparative civilizational approaches accept the primacy of culture, but at the same time, they strive to avoid the cultural determinism familiar from twentieth-century sociology, especially from the Parsonian version of functionalism. To situate this twofold strategy within contemporary cultural sociology, it seems useful to link up with the distinction between a strong and a weak program for the sociological analysis of culture, proposed by (...)
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  33. Conformal space-times—The arenas of physics and cosmology.A. O. Barut, P. Budinich, J. Niederle & R. Raçzka - 1994 - Foundations of Physics 24 (11):1461-1494.
    The mathematical and physical aspects of the conformal symmetry of space-time and of physical laws are analyzed. In particular, the group classification of conformally flat space-times, the conformal compactifications of space-time, and the problem of imbedding of the flat space-time in global four-dimensional curved spaces with non-trivial topological and geometrical structure are discussed in detail. The wave equations on the compactified space-times are analyzed also, and the set of their elementary solutions constructed. Finally, the implications of global compactified space-times for (...)
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  34.  3
    Philosophical Logic and Logical Philosophy.V. A. Smirnov, P. I. Bystrov & V. N. Sadovskii - 1996 - Springer.
    Vladimir Aleksandrovich Smirnov was born on March 2, 1931. He graduated from Moscow State University in 1954. From 1957 till 1961 he was a lecturer in philosophy and logic at the Tomsk University. Since 1961 his scientific activity continued in Moscow at the Institute of Philosophy of Academy of Sciences of the USSR. From 1970 and till the last days of his life V. A. Smirnov was lecturer and then Professor at the Chair of Logic at Moscow State University. V. (...)
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  35.  6
    Ethical-anthropological dilemmas of gamete and embryo donation: commodification, altruism, morality, and the future of the genetic family.Larisa P. Kiyashchenko, Svetlana A. Bronfman & Farida G. Maylenova - 2020 - RUDN Journal of Philosophy 24 (1):113-124.
    ART and, in particular, IVF and ICSI, are essentially a laboratory experiment, but which, due to its specificity, goes beyond the disciplinary boundaries, explicitly acquiring an ethical-axiological dimension in the interaction zone of the members of a particular community involved in child-bearing. At the same time, it is noted that the activity and choice of a way to solve problems with childbirth has a characteristic severity, due to the traditions and level of civil and social maturity of a country, due, (...)
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  36.  26
    Impossibility of collapse under the law of gravitationR 44=0.J. P. Kobus - 1975 - Foundations of Physics 5 (4):649-654.
    Radial motion of a small point mass in the gravitational field of a large point mass is investigated for the law of gravitationR 44 =0. When geodesic equations are expressed in terms of components of acceleration, it is found that the normally “attractive force” of gravitation gradually weakens as the large mass is approached, and becomes “repulsive” inside a critical nonsingular radius close to the origin of coordinates. A particle requires an infinite time to reach the origin, regardless of its (...)
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  37.  73
    Discussion—Soames on Empiricism.John P. Burgess - 2006 - Philosophical Studies 129 (3):619-626.
    Philosophical Analysis in the Twentieth Century by Scott Soames reminds me of nothing so much as Lectures on Literature by Vladimir Nabokov. Both are works that arose immediately out of the needs of undergraduate teaching, yet each manages to say much of significance to knowledgeable professionals. Each indirectly provides an outline of the history of its field, through a presentation of selected major works, taken in chronological order and including items that are generally recognized as marking decisive turning points. Yet (...)
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  38.  15
    Transformation of the gender dichotomy of spirit and body in postmodern philosophy and culture.O. P. Vlasova & Y. V. Makieshyna - 2018 - Anthropological Measurements of Philosophical Research 14:107-118.
    Purpose. The signification of the theoretical grounds for the conceptual reconstruction of the dichotomy "spirit-body" in the field of postmodern notions in philosophy and culture, the identification of the location of the given dichotomy in the processes of the transition of philosophy from being classical to the postclassical one, simultaneously, culture – to the cultural forms of postmodernity. Theoretical basis. The changing systems of post paradigm relations, radically transforming human life in the postmodern world, represent the obvious transformations of the (...)
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  39.  25
    Philosophy of information and transhumanism: Explications of philosophical anthropology.O. V. Marchenko & P. V. Kretov - 2019 - Anthropological Measurements of Philosophical Research 16:102-115.
    Purpose. The research is aimed at finding out the grounds, forms and essence of the correlation between the projects of information philosophy and transhumanism from the point of view of the problematics of philosophical anthropology. Attention is focused on the status of the knowing subject and the transformations of the forms of its activity within the specified correlation. Theoretical basis. Insufficient thinking on the issue of the functioning of traditional cognitive models, in particular Kant’s transcendental questioning, which formed the basis (...)
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  40.  10
    Functional Deficits and Structural Changes Associated With the Visual Attention Network During Resting State in Adult Strabismic and Anisometropic Amblyopes.Hao Wang, Minglong Liang, Sheila G. Crewther, Zhengqin Yin, Jian Wang, David P. Crewther & Tao Yu - 2022 - Frontiers in Human Neuroscience 16.
    Our previous study has shown impaired blood oxygen level-dependent /functional magnetic resonance imaging activation of the visual attention network in strabismic amblyopia. However, there has been no comparison of resting state fMRI activation and functional connectivity in brain regions of interest along the visual attention network including visual cortex, intraparietal sulcus, and frontal eye fields during closed eye resting across the SA, or anisometropic amblyopes groups. Hence, we compared, gray matter volume, amplitude of low frequency fluctuations, regional homogeneity, (...)
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  41.  12
    Leaving the Field.Renée C. Fox & Judith P. Swazey - 1992 - Hastings Center Report 22 (5):9-15.
    They have watched, as insiders, the first fumbling attempts to transplant kidneys, then hearts, then live‐donated lobes of liver and lung. Now the two sociologists most closely identified with organ transplantation have concluded that they must leave the field.
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  42.  5
    Closed p-adic rings and rings of definable functions.Luc Bélair - 1991 - Journal of Symbolic Logic 56 (2):539-553.
  43.  88
    Ethics and artificial life: From modeling to moral agents. [REVIEW]John P. Sullins - 2005 - Ethics and Information Technology 7 (3):139-148.
    Artificial Life has two goals. One attempts to describe fundamental qualities of living systems through agent based computer models. And the second studies whether or not we can artificially create living things in computational mediums that can be realized either, virtually in software, or through biotechnology. The study of ALife has recently branched into two further subdivisions, one is “dry” ALife, which is the study of living systems “in silico” through the use of computer simulations, and the other is “wet” (...)
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  44.  11
    “Always opening and never closing”: How dialogical therapists understand and create reflective conversations in network meetings.A. E. Sidis, A. Moore, J. Pickard & F. P. Deane - 2022 - Frontiers in Psychology 13.
    Tom Andersen’s reflecting team process, which allowed families to witness and respond to the talk of professionals during therapy sessions, has been described as revolutionary in the field of family therapy. Reflecting teams are prominent in a number of family therapy approaches, more recently in narrative and dialogical therapies. This way of working is considered more a philosophy than a technique, and has been received positively by both therapists and service users. This paper describes how dialogical therapists conceptualise the reflective (...)
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  45. Clarifying the Ethics and Oversight of Chimeric Research.Josephine Johnston, Insoo Hyun, Carolyn P. Neuhaus, Karen J. Maschke, Patricia Marshall, Kaitlynn P. Craig, Margaret M. Matthews, Kara Drolet, Henry T. Greely, Lori R. Hill, Amy Hinterberger, Elisa A. Hurley, Robert Kesterson, Jonathan Kimmelman, Nancy M. P. King, Melissa J. Lopes, P. Pearl O'Rourke, Brendan Parent, Steven Peckman, Monika Piotrowska, May Schwarz, Jeff Sebo, Chris Stodgell, Robert Streiffer & Amy Wilkerson - 2022 - Hastings Center Report 52 (S2):2-23.
    This article is the lead piece in a special report that presents the results of a bioethical investigation into chimeric research, which involves the insertion of human cells into nonhuman animals and nonhuman animal embryos, including into their brains. Rapid scientific developments in this field may advance knowledge and could lead to new therapies for humans. They also reveal the conceptual, ethical, and procedural limitations of existing ethics guidance for human‐nonhuman chimeric research. Led by bioethics researchers working closely with an (...)
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  46.  44
    On definable subsets of p-adic fields.Angus MacIntyre - 1976 - Journal of Symbolic Logic 41 (3):605-610.
  47. Rencontre. Contributions à une psychologie humaine, dédiées au Prof. F. J. J. Buytendijk. [REVIEW]O. P. N. M. Luyten - 1958 - Philosophical Studies (Dublin) 8:211-211.
    This collection of philosophical studies is dedicated to Prof. Buytendijk on the occasion of his retiring from the chair of philosophy at the University of Utrecht. The importance of the publication far surpasses the mere fact of honouring an outstanding scholar. For Buytendijk has indeed been one of the most active pioneers in the working out of a new approach to problems in the field of psychology and has been, together with other collaborators, instrumental in elaborating a new ’style’ as (...)
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    Deep CNN and Deep GAN in Computational Visual Perception-Driven Image Analysis.R. Nandhini Abirami, P. M. Durai Raj Vincent, Kathiravan Srinivasan, Usman Tariq & Chuan-Yu Chang - 2021 - Complexity 2021:1-30.
    Computational visual perception, also known as computer vision, is a field of artificial intelligence that enables computers to process digital images and videos in a similar way as biological vision does. It involves methods to be developed to replicate the capabilities of biological vision. The computer vision’s goal is to surpass the capabilities of biological vision in extracting useful information from visual data. The massive data generated today is one of the driving factors for the tremendous growth of computer vision. (...)
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    A p-adic probability logic.Angelina Ilić-Stepić, Zoran Ognjanović, Nebojša Ikodinović & Aleksandar Perović - 2012 - Mathematical Logic Quarterly 58 (4):263-280.
    In this article we present a p-adic valued probabilistic logic equation image which is a complete and decidable extension of classical propositional logic. The key feature of equation image lies in ability to formally express boundaries of probability values of classical formulas in the field equation image of p-adic numbers via classical connectives and modal-like operators of the form Kr, ρ. Namely, equation image is designed in such a way that the elementary probability sentences Kr, ρα actually do have their (...)
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    A p‐adic probability logic.Angelina Ilić-Stepić, Zoran Ognjanović, Nebojša Ikodinović & Aleksandar Perović - 2012 - Mathematical Logic Quarterly 58 (4-5):263-280.
    In this article we present a p-adic valued probabilistic logic equation image which is a complete and decidable extension of classical propositional logic. The key feature of equation image lies in ability to formally express boundaries of probability values of classical formulas in the field equation image of p-adic numbers via classical connectives and modal-like operators of the form Kr, ρ. Namely, equation image is designed in such a way that the elementary probability sentences Kr, ρα actually do have their (...)
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