Results for ' Downey's conjecture'

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  1.  18
    On Downey's conjecture.Marat M. Arslanov, Iskander Sh Kalimullin & Steffen Lempp - 2010 - Journal of Symbolic Logic 75 (2):401-441.
    We prove that the degree structures of the d.c.e. and the 3-c.e. Turing degrees are not elementarily equivalent, thus refuting a conjecture of Downey. More specifically, we show that the following statement fails in the former but holds in the latter structure: There are degrees f > e > d > 0 such that any degree u ≤ f is either comparable with both e and d, or incomparable with both.
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  2.  12
    The Embedding Problem for the Recursively Enumerable Degrees.Shoenfield'S. Conjecture - 1985 - In Anil Nerode & Richard A. Shore (eds.), Recursion theory. Providence, R.I.: American Mathematical Society. pp. 42--13.
  3.  32
    Computably Enumerable Reals and Uniformly Presentable Ideals.S. A. Terwijn & R. Downey - 2002 - Mathematical Logic Quarterly 48 (S1):29-40.
    We study the relationship between a computably enumerable real and its presentations. A set A presents a computably enumerable real α if A is a computably enumerable prefix-free set of strings such that equation image. Note that equation image is precisely the measure of the set of reals that have a string in A as an initial segment. So we will simply abbreviate equation image by μ. It is known that whenever A so presents α then A ≤wttα, where ≤wtt (...)
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  4. Master Index to Volumes 71-80.K. A. Abrahamson, R. G. Downey, M. R. Fellows, A. W. Apter, M. Magidor, M. I. da ArchangelskyDekhtyar, M. A. Taitslin, M. A. Arslanov & S. Lempp - 1996 - Annals of Pure and Applied Logic 80:293-298.
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  5.  59
    Processing of Self versus Non-Self in Alzheimer’s Disease.Rebecca L. Bond, Laura E. Downey, Philip S. J. Weston, Catherine F. Slattery, Camilla N. Clark, Kirsty Macpherson, Catherine J. Mummery & Jason D. Warren - 2016 - Frontiers in Human Neuroscience 10.
  6.  35
    Relativizing chaitin's halting probability.Rod Downey, Denis R. Hirschfeldt, Joseph S. Miller & André Nies - 2005 - Journal of Mathematical Logic 5 (02):167-192.
    As a natural example of a 1-random real, Chaitin proposed the halting probability Ω of a universal prefix-free machine. We can relativize this example by considering a universal prefix-free oracle machine U. Let [Formula: see text] be the halting probability of UA; this gives a natural uniform way of producing an A-random real for every A ∈ 2ω. It is this operator which is our primary object of study. We can draw an analogy between the jump operator from computability theory (...)
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  7.  53
    Every 1-Generic Computes a Properly 1-Generic.Barbara F. Csima, Rod Downey, Noam Greenberg, Denis R. Hirschfeldt & Joseph S. Miller - 2006 - Journal of Symbolic Logic 71 (4):1385 - 1393.
    A real is called properly n-generic if it is n-generic but not n+1-generic. We show that every 1-generic real computes a properly 1-generic real. On the other hand, if m > n ≥ 2 then an m-generic real cannot compute a properly n-generic real.
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  8.  9
    Unsupervised named-entity extraction from the Web: An experimental study.Oren Etzioni, Michael Cafarella, Doug Downey, Ana-Maria Popescu, Tal Shaked, Stephen Soderland, Daniel S. Weld & Alexander Yates - 2005 - Artificial Intelligence 165 (1):91-134.
  9.  68
    Decidability and Computability of Certain Torsion-Free Abelian Groups.Rodney G. Downey, Sergei S. Goncharov, Asher M. Kach, Julia F. Knight, Oleg V. Kudinov, Alexander G. Melnikov & Daniel Turetsky - 2010 - Notre Dame Journal of Formal Logic 51 (1):85-96.
    We study completely decomposable torsion-free abelian groups of the form $\mathcal{G}_S := \oplus_{n \in S} \mathbb{Q}_{p_n}$ for sets $S \subseteq \omega$. We show that $\mathcal{G}_S$has a decidable copy if and only if S is $\Sigma^0_2$and has a computable copy if and only if S is $\Sigma^0_3$.
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  10.  29
    On self-embeddings of computable linear orderings.Rodney G. Downey, Carl Jockusch & Joseph S. Miller - 2006 - Annals of Pure and Applied Logic 138 (1):52-76.
    The Dushnik–Miller Theorem states that every infinite countable linear ordering has a nontrivial self-embedding. We examine computability-theoretical aspects of this classical theorem.
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  11.  10
    The upward closure of a perfect thin class.Rod Downey, Noam Greenberg & Joseph S. Miller - 2008 - Annals of Pure and Applied Logic 156 (1):51-58.
    There is a perfect thin class whose upward closure in the Turing degrees has full measure . Thus, in the Muchnik lattice of classes, the degree of 2-random reals is comparable with the degree of some perfect thin class. This solves a question of Simpson [S. Simpson, Mass problems and randomness, Bulletin of Symbolic Logic 11 1–27].
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  12.  2
    Early Christian Epitaphs from Athens.Glanville Downey, John S. Creaghan & A. E. Raubitschek - 1949 - American Journal of Philology 70 (2):202.
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  13. The Proof-Reader's Illusion and General Intelligence.June E. Downey - 1918 - Journal of Philosophy 15 (2):44.
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  14. Baldwin, JT and Holland, K., Constructing ω-stable struc-tures: model completeness (1–3) 159–172 Berarducci, A. and Servi, T., An effective version of Wilkie's theorem of the complement and some effective o-minimality results (1–3) 43–74. [REVIEW]R. Downey, A. Li, G. Wu, M. Dzˇamonja & S. Shelah - 2004 - Annals of Pure and Applied Logic 125 (1-3):173.
  15.  15
    Participants and titles of lectures.Klaus Ambos-Spies, Marat Arslanov, Douglas Cenzer, Peter Cholak, Chi Tat Chong, Decheng Ding, Rod Downey, Peter A. Fejer, Sergei S. Goncharov & Edward R. Griffor - 1998 - Annals of Pure and Applied Logic 94 (1):3-6.
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  16.  37
    The Kolmogorov complexity of random reals.Liang Yu, Decheng Ding & Rodney Downey - 2004 - Annals of Pure and Applied Logic 129 (1-3):163-180.
    We investigate the initial segment complexity of random reals. Let K denote prefix-free Kolmogorov complexity. A natural measure of the relative randomness of two reals α and β is to compare complexity K and K. It is well-known that a real α is 1-random iff there is a constant c such that for all n, Kn−c. We ask the question, what else can be said about the initial segment complexity of random reals. Thus, we study the fine behaviour of K (...)
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  17.  10
    Topologies of Air and the Airspace Tribunal: Shona Illingworth and Anthony Downey.Shona Illingworth & Anthony Downey - 2021 - Philosophy of Photography 12 (1):7-25.
    Can we deploy creative practices to critically address the fatal interlocking of global surveillance technologies, neo-colonial expansionism, environmental degradation and the lethal threat of drone warfare? Throughout the following conversation, Shona Illingworth and Anthony Downey examine these and other questions in relation to the recent publication of Topologies of Air (Sternberg Press and The Power Plant, 2022). Edited by Downey, the book includes discussion and documentation of two major bodies of work by Illingworth, including Topologies of Air (2021) and Lesions (...)
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  18.  13
    Virtual Reality as a Moderator of Psychedelic-Assisted Psychotherapy.Agnieszka D. Sekula, Luke Downey & Prashanth Puspanathan - 2022 - Frontiers in Psychology 13:813746.
    Psychotherapy with the use of psychedelic substances, including psilocybin, lysergic acid diethylamide (LSD), ketamine, and 3,4-methylenedioxymethamphetamine (MDMA), has demonstrated promise in treatment of post-traumatic stress disorder (PTSD), anxiety, addiction, and treatment-resistant depression. Psychedelic-assisted psychotherapy (PP) represents a unique psychopharmacological model that leverages the profound effects of the psychedelic experience. That experience is characterized by strong dependency on two key factors: participant mindset and the therapeutic environment. As such, therapeutic models that utilize psychedelics reflect the need for careful design that promotes (...)
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  19. Integrating the biological and the technological : time to move beyond law's binaries?Muireann Quigley & Laura Downey - 2022 - In G. T. Laurie, E. S. Dove & Niamh Nic Shuibhne (eds.), Law and legacy in medical jurisprudence: essays in honour of Graeme Laurie. New York, NY: Cambridge University Press.
     
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  20.  20
    The Anthropology of Sport and Human Movement: A Biocultural Perspective.Jon Entine, Bernd Heinrich, Clifford Geertz, Robert Scott, Greg Downey, Vilma Charlton, Dirk Lund Christensen, Loren Cordain, Søren Damkjaer, Joe Friel, Rachael Irving, Kerrie P. Lewis, Peter G. Mewett, Andy Miah, Timothy Noakes & Yannis P. Pitsiladis (eds.) - 2012 - Lexington Books.
    The Anthropology of Sport and Human Movement represents a collection of work that reveals and explores the often times dramatic relationship of our biology and culture that is inextricably woven into a tapestry of movement patterns. It explores the underpinning of human movement, reflected in play, sport, games and human culture from an evolutionary perspective and contemporary expression of sport and human movement.
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  21.  67
    Decidable subspaces and recursively enumerable subspaces.C. J. Ash & R. G. Downey - 1984 - Journal of Symbolic Logic 49 (4):1137-1145.
    A subspace V of an infinite dimensional fully effective vector space V ∞ is called decidable if V is r.e. and there exists an r.e. W such that $V \oplus W = V_\infty$ . These subspaces of V ∞ are natural analogues of recursive subsets of ω. The set of r.e. subspaces forms a lattice L(V ∞ ) and the set of decidable subspaces forms a lower semilattice S(V ∞ ). We analyse S(V ∞ ) and its relationship with L(V (...)
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  22.  4
    Labor-force reentry among U.s. Homemakers in midlife:: A life-course analysis.Niall Bolger, Geraldine Downey & Phyllis Moen - 1990 - Gender and Society 4 (2):230-243.
    Guided by a life-course perspective, this article uses data from 11 waves of the Michigan Panel Study of Income Dynamics to examine the influence of human capital, family structure, and local labor-market demand variables on the reentry into the labor force of midlife homemakers in the United States in the 1970s. By looking at two contiguous time periods, the first and last halves of the 1970s, it investigates how the influence of these factors varied with social changes in the job-opportunity (...)
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  23.  98
    Predictive processing and the representation wars: a victory for the eliminativist.Adrian Downey - 2018 - Synthese 195 (12):5115-5139.
    In this paper I argue that, by combining eliminativist and fictionalist approaches toward the sub-personal representational posits of predictive processing, we arrive at an empirically robust and yet metaphysically innocuous cognitive scientific framework. I begin the paper by providing a non-representational account of the five key posits of predictive processing. Then, I motivate a fictionalist approach toward the remaining indispensable representational posits of predictive processing, and explain how representation can play an epistemologically indispensable role within predictive processing explanations without thereby (...)
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  24.  13
    Online, computable and punctual structure theory.Matthew Askes & Rod Downey - 2023 - Logic Journal of the IGPL 31 (6):1251-1293.
    Several papers (e.g. [7, 23, 42]) have recently sought to give general frameworks for online structures and algorithms ([4]), and seeking to connect, if only by analogy, online and computable structure theory. These initiatives build on earlier work on online colouring and other combinatorial algorithms by Bean [10], Kierstead, Trotter et al. [48, 54, 57] and others, as we discuss below. In this paper we will look at such frameworks and illustrate them with examples from the first author’s MSc Thesis (...)
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  25.  18
    On Genericity and Ershov's Hierarchy.Amy Gale & Rod Downey - 2001 - Mathematical Logic Quarterly 47 (2):161-182.
    It is natural to wish to study miniaturisations of Cohen forcing suitable to sets of low arithmetic complexity. We consider extensions of the work of Schaeffer [9] and Jockusch and Posner [6] by looking at genericity notions within the Δ2 sets. Different equivalent characterisations of 1-genericity suggest different ways in which the definition might be generalised. There are two natural ways of casting the notion of 1-genericity: in terms of sets of strings and in terms of density functions, as we (...)
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  26.  57
    Limits on jump inversion for strong reducibilities.Barbara F. Csima, Rod Downey & Keng Meng Ng - 2011 - Journal of Symbolic Logic 76 (4):1287-1296.
    We show that Sacks' and Shoenfield's analogs of jump inversion fail for both tt- and wtt-reducibilities in a strong way. In particular we show that there is a ${\mathrm{\Delta }}_{2}^{0}$ set B > tt ∅′ such that there is no c.e. set A with A′ ≡ wtt B. We also show that there is a ${\mathrm{\Sigma }}_{2}^{0}$ set C > tt ∅′ such that there is no ${\mathrm{\Delta }}_{2}^{0}$ set D with D′ ≡ wtt C.
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  27.  39
    Jump inversions inside effectively closed sets and applications to randomness.George Barmpalias, Rod Downey & Keng Meng Ng - 2011 - Journal of Symbolic Logic 76 (2):491 - 518.
    We study inversions of the jump operator on ${\mathrm{\Pi }}_{1}^{0}$ classes, combined with certain basis theorems. These jump inversions have implications for the study of the jump operator on the random degrees—for various notions of randomness. For example, we characterize the jumps of the weakly 2-random sets which are not 2-random, and the jumps of the weakly 1-random relative to 0′ sets which are not 2-random. Both of the classes coincide with the degrees above 0′ which are not 0′-dominated. A (...)
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  28.  89
    Calibrating randomness.Rod Downey, Denis R. Hirschfeldt, André Nies & Sebastiaan A. Terwijn - 2006 - Bulletin of Symbolic Logic 12 (3):411-491.
    We report on some recent work centered on attempts to understand when one set is more random than another. We look at various methods of calibration by initial segment complexity, such as those introduced by Solovay [125], Downey, Hirschfeldt, and Nies [39], Downey, Hirschfeldt, and LaForte [36], and Downey [31]; as well as other methods such as lowness notions of Kučera and Terwijn [71], Terwijn and Zambella [133], Nies [101, 100], and Downey, Griffiths, and Reid [34]; higher level randomness notions (...)
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  29.  79
    Split-brain syndrome and extended perceptual consciousness.Adrian Downey - 2018 - Phenomenology and the Cognitive Sciences 17 (4):787-811.
    In this paper I argue that split-brain syndrome is best understood within an extended mind framework and, therefore, that its very existence provides support for an externalist account of conscious perception. I begin by outlining the experimental aberration model of split-brain syndrome and explain both: why this model provides the best account of split-brain syndrome; and, why it is commonly rejected. Then, I summarise Susan Hurley’s argument that split-brain subjects could unify their conscious perceptual field by using external factors to (...)
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  30.  44
    Descartes’s Real Argument.James Patrick Downey - 2002 - Ratio 15 (1):01–09.
    It is still commonly supposed that Descartes based his argument for the mind-body distinction on the law of the indiscernibility of identicals. I argue that this interpretation is very unlikely to be correct. I explain three contemporary versions of this interpreta- tion and say why I reject it. Basically, use of this law for Descartes’s conclusion would require reference to human bodies or else the supposition, for the purpose of the argument, of reference to human bodies. But at the time (...)
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  31.  83
    A Δ20 set with no infinite low subset in either it or its complement.Rod Downey, Denis R. Hirschfeldt, Steffen Lempp & Reed Solomon - 2001 - Journal of Symbolic Logic 66 (3):1371-1381.
    We construct the set of the title, answering a question of Cholak, Jockusch, and Slaman [1], and discuss its connections with the study of the proof-theoretic strength and effective content of versions of Ramsey's Theorem. In particular, our result implies that every ω-model of RCA 0 + SRT 2 2 must contain a nonlow set.
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  32.  65
    Co-immune subspaces and complementation in V∞.R. Downey - 1984 - Journal of Symbolic Logic 49 (2):528 - 538.
    We examine the multiplicity of complementation amongst subspaces of V ∞ . A subspace V is a complement of a subspace W if V ∩ W = {0} and (V ∪ W) * = V ∞ . A subspace is called fully co-r.e. if it is generated by a co-r.e. subset of a recursive basis of V ∞ . We observe that every r.e. subspace has a fully co-r.e. complement. Theorem. If S is any fully co-r.e. subspace then S has (...)
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  33.  27
    Leibniz’s Opinion Of Descartes’s Argument That He Is Not A Body.James Patrick Downey - 2003 - British Journal for the History of Philosophy 11 (3):493 – 498.
  34.  6
    Merton's Franciscan Heart.Michael Downey - 1998 - Franciscan Studies 55 (1):299-309.
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  35.  57
    It Just Doesn’t Feel Right: OCD and the ‘Scaling Up’ Problem.Adrian Downey - 2020 - Phenomenology and the Cognitive Sciences 19 (4):705-727.
    The ‘scaling up’ objection says non-representational ecological-enactive accounts will be unable to explain ‘representation hungry’ cognition. Obsessive-compulsive disorder presents a paradigmatic instance of this objection, marked as it is by ‘representation hungry’ obsessive thoughts and compulsive behavior organized around them. In this paper I provide an ecological-enactive account of OCD, thereby demonstrating non-representational frameworks can ‘scale up’ to explain ‘representation hungry’ cognition. First, I outline a non-representational account of mind— a predictive processing operationalization of Sean Kelly’s theory of perception. This (...)
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  36.  24
    The proof-reader's illusion and general intelligence.June E. Downey - 1918 - Journal of Philosophy, Psychology and Scientific Methods 15 (2):44-47.
  37. Beneath the Horizon : The Organic Body's Role in Athletic Experience.Greg Downey - 2015 - In Kalpana Ram & Christopher Houston (eds.), Phenomenology in Anthropology: A Sense of Perspective. Indiana University Press.
     
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  38.  31
    The Origin of Certainty in Lacan's Seminar XI.Ian Downey - 2013 - International Journal of Žižek Studies 7 (2).
    Slavoj Zizek is operating from a position of certainty, a position discovered by Jacques Lacan in Seminar XI. In this essay, I examine this position of certainty ("Gewissheit") and the ways this position is distinct from both existential phenomenology and post-structuralism, ultimately arguing that for structuralist psychoanalysis to function requires an intentional forgetting of being.
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  39.  10
    "We Drank Many Gin and Tonics": Desire and Enchantment in Merton's Buddhist Pilgrimage.Jack Downey - 2017 - Buddhist-Christian Studies 37:73-92.
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  40.  25
    Serious Comedy: The Philosophical and Theological Significance of Tragic and Comic Writing in the Western Tradition.Patrick Downey - 2000 - Lexington Books.
    Patrick Downey finds comedy at the heart of the Western philosophical and theological tradition. In Serious Comedy Downey tracks tragedy and comedy from the beginning of Western thought to the twentieth century, beginning with an in-depth examination of Aristotle and three Platonic dialogues: the Republic, the Phaedrus, and the Symposium. In the book's second section Downey argues that the Bible is at heart a comedic narrative and analyzes the philosophical and theological implications of this comedy. In the third section Downey (...)
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  41.  7
    My “Bye Bull” Story.Margaret Downey - 2009-09-10 - In Russell Blackford & Udo Schüklenk (eds.), 50 Voices of Disbelief. Wiley‐Blackwell. pp. 10–15.
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  42.  46
    Commentary on “The Possibility of God”.James Patrick Downey - 1987 - Faith and Philosophy 4 (2):202-206.
    Clement Dore has offered a demonstration that God is possible. This is important because the Ontological Argument shows that if God is possible, it is necessarily true that God exists. Dore’s demonstration parallels Descartes’s Meditation V argument: (roughly) God by definition has all perfections; but (Dore proposes) possible existence is a perfection; therefore, God is possible. However, Leibniz recognized that Descartes’s argument is incomplete, omitting proof that the concept of God is consistent. Dore’s demonstration fails for just this reason. Dore’s (...)
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  43. A fallacy in the intentional fallacy.James Downey - 2007 - Philosophy and Literature 31 (1):149-152.
    In lieu of an abstract, here is a brief excerpt of the content:A Fallacy in the Intentional FallacyJames DowneyAccording to a famous argument by W. K. Wimsatt and Monroe Beardsley, the intention of the author is neither available nor desirable as a standard by which to judge the success of a work of literary art. I wish to focus on the former allegation. The author's intention is not available as a standard by which to judge a work's success, it is (...)
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  44.  19
    A Costly Loss of Heart.Michael Downey - 1987 - Philosophy and Theology 1 (3):242-254.
    In using the term “heart” to describe that which is constitutive of human personhood, Jean Vanier gives evidence that he views the person largely as affective, open to attraction, to be acted upon by another and drawn to communion. This is not to suggest that the heart is irrational or anti-intellectual, or to suggest that Vanier’s vision of the human person is so. Rather it is to suggest that, for Vanier, all that is known and decided is to be shaped (...)
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  45.  5
    A hierarchy of Turing degrees: a transfinite hierarchy of lowness notions in the computably enumerable degrees, unifying classes, and natural definability.R. G. Downey - 2020 - Princeton: Princeton University Press. Edited by Noam Greenberg.
    This book presents new results in computability theory, a branch of mathematical logic and computer science that has become increasingly relevant in recent years. The field's connections with disparate areas of mathematical logic and mathematics more generally have grown deeper, and now have a variety of applications in topology, group theory, and other subfields. This monograph establishes new directions in the field, blending classic results with modern research areas such as algorithmic randomness. The significance of the book lies not only (...)
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  46.  21
    A Primordial Reply to Modern Gaunilos.James Patrick Downey - 1986 - Religious Studies 22 (1):41 - 49.
    Donald R. Gregory has recently argued that the monk Gaunilo's response to St Anselm's ontological argument succeeds in showing what is fundamentally wrong with any ontological argument, including modern modal versions. He holds that the Gaunilo strategy in fact demonstrates what it alleges, that reasoning which parallels the form and intent ofAnselm's reductio argument can ‘prove’ a priori the existence of quite unacceptable entities.
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  47.  19
    Getting on Target with Community Health Advisors (GOTCHA): an innovative stroke prevention project.Lachel Story, Susan Mayfield-Johnson, Laura H. Downey, Charkarra Anderson-Lewis, Rebekah Young & Pearlean Day - 2010 - Nursing Inquiry 17 (4):373-384.
    STORY L, MAYFIELD‐JOHNSON S, DOWNEY LH, ANDERSON‐LEWIS C, YOUNG R and DAY P. Nursing Inquiry 2010; 17: 373–384 Getting on Target with Community Health Advisors (GOTCHA): an innovative stroke prevention projectHealth disparities along with insufficient numbers of healthcare providers and resources have created a need for effective and efficient grassroots approaches to improve community health. Community‐based participatory research (CBPR), more specifically the utilization of community health advisors (CHAs), is one such strategy. The Getting on Target with Community Health Advisors (GOTCHA) (...)
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  48.  26
    Vaught's conjecture for weakly o-minimal theories of convexity rank 1.A. Alibek, B. S. Baizhanov, B. Sh Kulpeshov & T. S. Zambarnaya - 2018 - Annals of Pure and Applied Logic 169 (11):1190-1209.
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  49.  10
    La Vie Ancienne De S. Syméon Stylite Le Jeune , Ii: Traduction Et Commentaire. Vie Grecque De Sainte Marthe, Mère De S. Syméon, Indices. [REVIEW]Glanville Downey - 1970 - Speculum 46 (3):546-546.
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  50.  8
    Sprevak and Colombo's The Routledge Handbook of the Computational Mind. [REVIEW]Adrian Downey - 2020 - BJPS Review of Books.
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