Search results for 'Judit Madarász X' (try it on Scholar)

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  1. Hajnal Andréka, Judit X. Madarász, István Németi & Gergely Székely, A Logic Road From Special to General Relativity.score: 810.0
    We present a streamlined axiom system of special relativity in firs-order logic. From this axiom system we ``derive'' an axiom system of general relativity in two natural steps. We will also see how the axioms of special relativity transform into those of general relativity. This way we hope to make general relativity more accessible for the non-specialist.
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  2. Hajnal Andréka, Judit X. Madarász, István Németi & Gergely Székely (2012). A Logic Road From Special Relativity to General Relativity. Synthese 186 (3):633 - 649.score: 810.0
    We present a streamlined axiom system of special relativity in first-order logic. From this axiom system we "derive" an axiom system of general relativity in two natural steps. We will also see how the axioms of special relativity transform into those of general relativity. This way we hope to make general relativity more accessible for the non-specialist.
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  3. Judit X. Madarász, István Németi & Gergely Székely (2006). Twin Paradox and the Logical Foundation of Relativity Theory. Foundations of Physics 36 (5):681-714.score: 810.0
    We study the foundation of space-time theory in the framework of first-order logic (FOL). Since the foundation of mathematics has been successfully carried through (via set theory) in FOL, it is not entirely impossible to do the same for space-time theory (or relativity). First we recall a simple and streamlined FOL-axiomatization Specrel of special relativity from the literature. Specrel is complete with respect to questions about inertial motion. Then we ask ourselves whether we can prove the usual relativistic properties of (...)
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  4. Hajnal Andréka, Judit X. Madarász & István Németi (2005). Mutual Definability Does Not Imply Definitional Equivalence, a Simple Example. Mathematical Logic Quarterly 51 (6):591-597.score: 810.0
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  5. Judit X. Madarász (1998). Interpolation and Amalgamation; Pushing the Limits. Part I. Studia Logica 61 (3):311-345.score: 810.0
    Continuing work initiated by Jónsson, Daigneault, Pigozzi and others; Maksimova proved that a normal modal logic (with a single unary modality) has the Craig interpolation property iff the corresponding class of algebras has the superamalgamation property (cf. [Mak 91], [Mak 79]). The aim of this paper is to extend the latter result to a large class of logics. We will prove that the characterization can be extended to all algebraizable logics containing Boolean fragment and having a certain kind of local (...)
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  6. Judit X. Madarász (1999). Interpolation and Amalgamation; Pushing the Limits. Part II. Studia Logica 62 (1):1-19.score: 810.0
    This is the second part of the paper [Part I] which appeared in the previous issue of this journal.
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  7. Judit X. Madarász (2012). Interpolation in Algebraizable Logics Semantics for Non-Normal Multi-Modal Logic. Journal of Applied Non-Classical Logics 8 (1-2):67-105.score: 810.0
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  8. Judit X. Madarász, István Németi & Csaba Toke (2004). On Generalizing the Logic-Approach to Space-Time Towards General Relativity: First Steps. In Vincent F. Hendricks (ed.), First-Order Logic Revisited. Logos. 225--268.score: 810.0
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  9. H. Andréka, J. X. Madarász, I. Németi & G. Székely (2008). Axiomatizing Relativistic Dynamics Without Conservation Postulates. Studia Logica 89 (2):163 - 186.score: 240.0
    A part of relativistic dynamics is axiomatized by simple and purely geometrical axioms formulated within first-order logic. A geometrical proof of the formula connecting relativistic and rest masses of bodies is presented, leading up to a geometric explanation of Einstein's famous E = mc² . The connection of our geometrical axioms and the usual axioms on the conservation of mass, momentum and four-momentum is also investigated.
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  10. J. X. Madarász (1995). The Craig Interpolation Theorem in Multi-Modal Logics. Bulletin of the Section of Logic 3 (24):147-151.score: 240.0
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  11. Hajnal Andréka, Judit Madarász X., István Németi & Gergely Székely (2008). Axiomatizing Relativistic Dynamics Without Conservation Postulates. Studia Logica 89 (2):163 - 186.score: 87.0
    A part of relativistic dynamics is axiomatized by simple and purely geometrical axioms formulated within first-order logic. A geometrical proof of the formula connecting relativistic and rest masses of bodies is presented, leading up to a geometric explanation of Einstein’s famous E = mc 2. The connection of our geometrical axioms and the usual axioms on the conservation of mass, momentum and four-momentum is also investigated.
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  12. Judit X. Madarasz, Istvan Nemeti & Gergely Szekely, First-Order Logic Foundation of Relativity Theories.score: 81.0
    Motivation and perspective for an exciting new research direction interconnecting logic, spacetime theory, relativity--including such revolutionary areas as black hole physics, relativistic computers, new cosmology--are presented in this paper. We would like to invite the logician reader to take part in this grand enterprise of the new century. Besides general perspective and motivation, we present initial results in this direction.
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  13. Tarek Sayed Ahmed (2005). On Amalgamation in Algebras of Logic. Studia Logica 81 (1):61 - 77.score: 28.0
    We show that not all epimorphisms are surjective in certain classes of infinite dimensional cylindric algebras, Pinter's substitution algebras and Halmos' quasipolyadic algebras with and without equality. It follows that these classes fail to have the strong amalgamation property. This answers a question in [3] and a question of Pigozzi in his landmark paper on amalgamation [9]. The cylindric case was first proved by Judit Madarasz [7]. The proof presented herein is substantially different. By a result of Németi, our (...)
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  14. George Georgescu (2008). Fuzzy Power Structures. Archive for Mathematical Logic 47 (3):233-261.score: 24.0
    Power structures are obtained by lifting some mathematical structure (operations, relations, etc.) from an universe X to its power set ${\mathcal{P}(X)}$ . A similar construction provides fuzzy power structures: operations and fuzzy relations on X are extended to operations and fuzzy relations on the set ${\mathcal{F}(X)}$ of fuzzy subsets of X. In this paper we study how this construction preserves some properties of fuzzy sets and fuzzy relations (similarity, congruence, etc.). We define the notions of good, very good, Hoare good (...)
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  15. David Boyd (2010). Ethical Determinants for Generations X and Y. Journal of Business Ethics 93 (3):465 - 469.score: 18.0
    The present study examines student perception of protagonist behavior in three case vignettes. One demographic group consists of professionally employed MBA students who show characteristics of Generation X. The second cohort consists of Generation Y business undergraduates. Differences emerge between the groups. Even when they propose similar action, their respective rationale differs. Generation Xers show themselves to be astute pragmatists whose focus is on self rather than society. Yet the younger cohort, in its quest to find fulfillment, may give short (...)
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  16. J. J. Rehr (2003). Failure of the Quasiparticle Picture of X-Ray Absorption? Foundations of Physics 33 (12):1735-1742.score: 18.0
    The Golden rule expression for x-ray absorption spectra (XAS) is typically calculated within a one-particle (quasiparticle) approximation and generally leads to good agreement between theory and experiment. The fact that a quasiparticle approximation works fairly well is surprising, since it neglects satellite excitations and intrinsic losses due to a suddenly created core-hole. The resolution of this paradox requires physics beyond the independent particle approximation. This is discussed here using an effective Green's function formulation based on a quasi-boson model that takes (...)
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  17. Adrian Desmond (2001). Redefining the X Axis: "Professionals," "Amateurs" and the Making of Mid-Victorian Biology: A Progress Report. [REVIEW] Journal of the History of Biology 34 (1):3 - 50.score: 18.0
    A summary of revisionist accounts of the contextual meaning of "professional" and "amateur," as applied to the mid-Victorian X Club, is followed by an analysis of the liberal goals and inner tensions of this coalition of gentlemen specialists and government teachers. The changing status of amateurs is appraised, as are the new sites for the emerging laboratory discipline of "biology." Various historiographical strategies for recovering the women's role are considered. The relationship of science journalism to professionalization, and the constructive engagement (...)
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  18. Inga S. Knoth & Sarah Lippé (2012). Event-Related Potential Alterations in Fragile X Syndrome. Frontiers in Human Neuroscience 6.score: 18.0
    Fragile X Syndrome (FXS) is the most common form of X-linked intellectual disability, associated with a wide range of cognitive and behavioural impairments. FXS is caused by a trinucleotide repeat expansion in the FMR1 gene located on the X-chromosome. FMR1 is expected to prevent the expression of the “fragile X mental retardation protein (FMRP)”, which results in altered structural and functional development of the synapse, including a loss of synaptic plasticity. This review aims to unveil the contribution of electrophysiological signal (...)
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  19. Carina Ganuza (2011). Teorías para la construcción del poder temporal: el papado y la iglesia en el occidente europeo (siglos X-XIII). Enfoques 23 (1):75-100.score: 18.0
    Se analizará el papel de la iglesia católica como detentora de poder en el siglo X, sus íntimas relaciones con la forma de construcción del poder político, permitiendo su fortalecimiento en un tiempo de fragmentación territorial. Se perseguirá la interpretación de la interrelación poder temporal-esp..
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  20. Naomi Jean Goodrich-Hunsaker, Ling M. Wong, Yingratana McLennan, Flora Tassone, Danielle Harvey, Susan M. Rivera & Tony J. Simon (2011). Adult Female Fragile X Premutation Carriers Exhibit Age- and CGG Repeat Length-Related Impairments on an Attentionally Based Enumeration Task. Frontiers in Human Neuroscience 5.score: 18.0
    The high frequency of the fragile X premutation in the general population and its emerging neurocognitive implications highlight the need to investigate the effects of the premutation on lifespan cognitive development. Until recently, cognitive function in fragile X premutation carriers (fXPCs) was presumed to be unaffected by the mutation. Although as a group fXPCs did not differ from healthy controls (HC), we show that young adult female fXPCs show subtle age- and significant FMR1 gene mutation-modulated cognitive function as tested by (...)
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  21. Sarah Lippé Inga S. Knoth (2012). Event-Related Potential Alterations in Fragile X Syndrome. Frontiers in Human Neuroscience 6.score: 18.0
    Fragile X Syndrome (FXS) is the most common form of X-linked intellectual disability, associated with a wide range of cognitive and behavioural impairments. FXS is caused by a trinucleotide repeat expansion in the FMR1 gene located on the X-chromosome. FMR1 is expected to prevent the expression of the “fragile X mental retardation protein (FMRP)”, which results in altered structural and functional development of the synapse, including a loss of synaptic plasticity. This review aims to unveil the contribution of electrophysiological signal (...)
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  22. Stefan Michel Marcia Mendes, Adrian Schwaninger (2013). Can Laptops Be Left Inside Passenger Bags If Motion Imaging is Used in X-Ray Security Screening? Frontiers in Human Neuroscience 7.score: 18.0
    This paper describes a study where a new X-ray machine for security screening featuring motion imaging (i.e. 5 views of a bag are shown as an image sequence) was evaluated and compared to single view imaging available on conventional X-ray screening systems. More specifically, it was investigated whether with this new technology X-ray screening of passenger bags could be enhanced to such an extent that laptops could be left inside passenger bags, without causing a significant impairment in threat detection performance. (...)
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  23. John Sideris Molly Losh, Gary E. Martin, Jessica Klusek, Abigail L. Hogan-Brown (2012). Social Communication and Theory of Mind in Boys with Autism and Fragile X Syndrome. Frontiers in Psychology 3.score: 18.0
    Impairments in the social use of language, or pragmatics, constitute a core characteristic of autism. Problems with pragmatic language have also been documented in fragile X syndrome, a monogenic condition that is the most common known genetic cause of autism. Evidence suggests that social cognitive ability, or theory of mind, may also be impaired in both conditions, and in autism, may importantly relate to pragmatic language ability. Given the substantial overlap observed in autism and FXS, this study aimed to better (...)
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  24. Iris Pinheiro, Lien Dejager & Claude Libert (2011). X-Chromosome-Located microRNAs in Immunity: Might They Explain Male/Female Differences?: The X Chromosome-Genomic Context May Affect X-Located miRNAs and Downstream Signaling, Thereby Contributing to the Enhanced Immune Response of Females. Bioessays 33 (11):791-802.score: 18.0
    In this paper, we hypothesize that X chromosome-associated mechanisms, which affect X-linked genes and are behind the immunological advantage of females, may also affect X-linked microRNAs. The human X chromosome contains 10% of all microRNAs detected so far in the human genome. Although the role of most of them has not yet been described, several X chromosome-located microRNAs have important functions in immunity and cancer. We therefore provide a detailed map of all described microRNAs located on human and mouse X (...)
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  25. Eugene Thacker (2002). Bio-X: Removing Bodily Contingency in Regenerative Medicine. Journal of Medical Humanities 23 (3/4):239-253.score: 15.0
    This paper addresses the social, cultural, and ethical dynamics of research in regenerative medicine. The author turns to both science fiction and recent developments in regenerative medicine for clues about the future of the body and medical practice, suggesting that regenerative medicine uses the body as its own resource for the purposes of preserving life, and that by attempting to remove the body from the limitations of both mortality and contingency, regenerative medicine fundamentally alters the meaning of human.
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  26. Iris Pinheiro, Lien Dejager & Claude Libert (2011). X‐Chromosome‐Located microRNAs in Immunity: Might They Explain Male/Female Differences? Bioessays 33 (11):791-802.score: 15.0
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  27. Elena V. Dementyeva, Alexander I. Shevchenko & Suren M. Zakian (2009). X‐Chromosome Upregulation and Inactivation: Two Sides of the Dosage Compensation Mechanism in Mammals. Bioessays 31 (1):21-28.score: 15.0
  28. Michael P. Gantier (2013). X‐Chromosome‐Encoded microRNA‐19 and ‐18 Are Possible Modulators of Female Immunity. Bioessays 35 (8):671-671.score: 15.0
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  29. Satya K. Kota (2009). RNAi in X Inactivation: Contrasting Findings on the Role of Interference. Bioessays 31 (12):1280-1283.score: 15.0
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  30. Ada Cristina Machado Silveira & Camila Esteves (2010). Entre a Memória E a Promessa. A Dialética Idem X Ipse Na Cobertura Dos Jogos Pan-Americanos. Logos 17 (2):137-150.score: 15.0
    This article studies the characteristics of memory and promise in narratives of identity used in the journalistic coverage of the Pan American Games that happened in Rio de Janeiro in 2007. The action of referencing the sports coverage from a regional look, with special attention to the Zero Hora Journal, from Porto Alegre, should be hierarchically articulated to the national level, in a kind of range of identification scales.
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  31. Joshua Shepherd & James Justus (forthcoming). X-Phi and Carnapian Explication. Erkenntnis:1-22.score: 12.0
    The rise of experimental philosophy (x-phi) has placed metaphilosophical questions, particularly those concerning concepts, at the center of philosophical attention. X-phi offers empirically rigorous methods for identifying conceptual content, but what exactly it contributes towards evaluating conceptual content remains unclear. We show how x-phi complements Rudolf Carnap’s underappreciated methodology for concept determination, explication. This clarifies and extends x-phi’s positive philosophical import, and also exhibits explication’s broad appeal. But there is a potential problem: Carnap’s account of explication was limited to empirical (...)
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  32. Christopher Grau (2010). American History X, Cinematic Manipulation, and Moral Conversion. Midwest Studies in Philosophy 34 (1):52-76.score: 12.0
    American History X (hereafter AHX) has been accused by numerous critics of a morally dangerous cinematic seduction: using stylish cinematography, editing, and sound, the film manipulates the viewer through glamorizing an immoral and hate-filled neo-nazi protagonist. In addition, there’s the disturbing fact that the film seems to accomplish this manipulation through methods commonly grouped under the category of “fascist aesthetics.” More specifically, AHX promotes its neo-nazi hero through the use of several filmic techniques made famous by Nazi propagandist Leni Riefenstahl. (...)
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  33. David Cole (2009). Jerry Fodor, Lot 2: The Language of Thought Revisited , New York: Oxford University Press, 2008, X+228, $37.95, Isbn 978-0-119-954877-. [REVIEW] Minds and Machines 19 (3):439-443.score: 12.0
    Jerry Fodor, LOT 2: The Language of Thought Revisited , New York: Oxford University Press, 2008, x+228, $37.95, ISBN 978-0-119-954877-4 Content Type Journal Article Pages 439-443 DOI 10.1007/s11023-009-9164-4 Authors David Cole, University of Minnesota-Duluth Department of Philosophy 369 A B Anderson Hall Duluth MN 55812 USA Journal Minds and Machines Online ISSN 1572-8641 Print ISSN 0924-6495 Journal Volume Volume 19 Journal Issue Volume 19, Number 3.
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  34. Frederick R. Adams & Kenneth Aizawa (1992). 'X' Means X: Semantics Fodor-Style. [REVIEW] Minds and Machines 2 (2):175-83.score: 12.0
    InPsychosemantics Jerry Fodor offered a list of sufficient conditions for a symbol “X” to mean something X. The conditions are designed to reduce meaning to purely non-intentional natural relations. They are also designed to solve what Fodor has dubbed the “disjunction problem”. More recently, inA Theory of Content and Other Essays, Fodor has modified his list of sufficient conditions for naturalized meaning in light of objections to his earlier list. We look at his new set of conditions and give his (...)
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  35. Jonathan M. Weinberg & Stephen Crowley (2009). The X-Phi(Les): Unusual Insights Into the Nature of Inquiry. Studies in History and Philosophy of Science Part A 40 (2):227-232.score: 12.0
    Experimental philosophy (henceforth “XΦ”) takes seriously the idea that philosophical inquiry may benefit directly from quantitative empirical research. That view strikes many as deeply misguided, perhaps oxymoronic: experimentation is simply the wrong kind of investigatory technique for solving philosophical puzzles. But to think XΦ an oxymoron is to have an opinion about the relationship between scientific and philosophical inquiry – in particular, that philosophy and science are distinct, independent enterprises each pursuable on its own terms. We argue that this ‘separate (...)
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  36. Herman Cappelen (forthcoming). X-Phi Without Intuitions? In Anthony Robert Booth & Darrell P. Rowbottom (eds.), Intuitions.score: 12.0
    One central purpose of Experimental Philosophy (hereafter, x-phi) is to criticize the alleged reliance on intuitions in contemporary philosophy. In my book Philosophy without Intuitions (hereafter, PWI), I argue that philosophers don’t rely on intuitions. If those arguments are good, experimental philosophy has been engaged in an attack on a strawman. The goal of this paper is to bolster the criticism of x-phi in the light of responses.
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  37. S. D. Edwards (2011). The Case of Ashley X. Clinical Ethics 6 (1):39-44.score: 12.0
    This paper recounts the events surrounding the case of Ashley X, a severely disabled young girl whose parents opted for oestrogen therapy, a hysterectomy and breast removal – the so-called ‘Ashley treatment’ – in order to reduce her projected adult weight and improve her quality of life. Following a description of the events leading up to the procedure itself, and the worldwide debate which ensued, the main arguments in favour and against the procedures are presented. The paper also critically engages (...)
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  38. Alan C. Kingsley (2004). The Only X and Y Principle. Inquiry 47 (4):338 – 359.score: 12.0
    In this paper, I consider the validity and proper formulation of the only-x-and-y principle, which states, roughly, that whether a later individual, y, is numerically identical to an earlier individual, x, can depend only on facts about x and y and the relationships between them. In the course of my investigation, I distinguish between two classes of physical entities - those that exist in a 'real' sense, (...)
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  39. Samuel Alexander (2013). This Sentence Does Not Contain the Symbol X. The Reasoner 7 (9):108.score: 12.0
    A suprise may occur if we use a similar strategy to the Liar's paradox to mathematically formalize "This sentence does not contain the symbol X".
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  40. William H. Capitan (1966). Part X of Hume's "Dialogues&Quot;. American Philosophical Quarterly 3 (1):82 - 85.score: 12.0
    In hume's dialogues, Part x, Philo presents the trilemma attributed to epicurus: "is God willing but unable to prevent evil? able but unwilling? both willing and able? whence, Then is evil?" some critics say philo is trying to disprove god's existence. Some say he is not. I say he grants God exists as the first cause in order to show natural religion is impossible. For natural religion must establish god's benevolence, But it cannot combat "moderate scepticism" to establish any moral (...)
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  41. George B. Kauffman (2012). Bob B. He: Two-Dimensional X-Ray Diffraction. [REVIEW] Foundations of Chemistry 14 (2):187-188.score: 12.0
    Bob B. He: Two-dimensional X-ray diffraction Content Type Journal Article Category Book Review Pages 1-2 DOI 10.1007/s10698-011-9135-8 Authors George B. Kauffman, Department of Chemistry, California State University, Fresno, Fresno, CA 93740-8034, USA Journal Foundations of Chemistry Online ISSN 1572-8463 Print ISSN 1386-4238.
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  42. Brian Collett, Philip Pearle, Frank Avignone & Shmuel Nussinov (1995). Constraint on Collapse Models by Limit on Spontaneous X-Ray Emission in Ge. Foundations of Physics 25 (10):1399-1412.score: 12.0
    The continuous spontaneous localization (CSL) model modifies Schrödinger's equation so that the collapse of the state vector is described as a physical process (a special interaction of particles with a universal fluctuating field). A consequence of the model is that an electron in an atom should occasionally get “spontaneously” knocked out of the atom. The CSL ionization rate for the 1s electrons in the Ge atom is calculated and compared with an experimental upper limit for the rate of “spontaneously” generated (...)
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  43. Maria Concetta Di Maio & Alberto Zanardo (1998). A Gabbay-Rule Free Axiomatization of T X W Validity. Journal of Philosophical Logic 27 (5):435 - 487.score: 12.0
    The semantical structures called T x W frames were introduced in (Thomason, 1984) for the Ockhamist temporal-modal language, $[Unrepresented Character]_{o}$ , which consists of the usual propositional language augmented with the Priorean operators P and F and with a possibility operator ◇. However, these structures are also suitable for interpreting an extended language, $[Unrepresented Character]_{so}$ , containing a further possibility operator $\lozenge^{s}$ which expresses synchronism among possibly incompatible histories and which can thus be thought of as a cross-history 'simultaneity' operator. (...)
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  44. James V. Robinson (1991). The Nature of the Soul in Republic X. Journal of Philosophical Research 16:213-222.score: 12.0
    There has been much discussion as to what, in Republic X, Plato took to be the true nature of the soul. My justification for extending the discussion is the continued popularity of the view that the true soul is incomposite. What I add to the discussion is a different perspective, one which sheds new light on the problem. Commentators have paid little or no attention to the role that order plays in this issue. By giving order its due, it becomes (...)
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  45. E. Herrmann (1986). The Index Set $\{E: WE \Equiv1 X\}$. Journal of Symbolic Logic 51 (1):110 - 116.score: 12.0
    Let X be any infinite, coinfinite r.e. set. We show that the index set $\{e: W_e \equiv_1 X\}$ is Σ 0 3 -complete, answering a question posed by Odifreddi in [2].
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  46. V. Alan White, A. Freedom and World-Views in the X-Files.score: 12.0
    “Men can never be free, because they’re weak, corrupt, worthless and restless. The people believe in authority; they’ve grown tired of waiting for miracle or mystery. Science is their religion; no greater explanation exists for them.” (Cigarette Smoking Man, "Talitha Cumi" The X-Files 3X24).
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  47. Rudy Haryanto & P. Tommy Y. S. Suyasa (2010). Persepsi Terhadap Job Characteristic Model, Psychological Well-Being Dan Performance (Studi Pada Karyawan Pt. X). Phronesis 9 (1).score: 12.0
    The objective of this research is to interaction between perception in job characteristic model, psychological well-being, and performance. Job characteristic model are explained by skill variety, task identity, task significan, autonomy, and feedback about the job. Psychological well-being is explained by autonomy, environment mastery, good relationship with others, self acceptance, and personal growth. Performance measured by how employee done their task according their responsibility. Subject of this research are employees of PT. X (N = 60). The result of this study (...)
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  48. Anders Kraal (2013). Philo's Argument From Evil in Hume's Dialogues X: A Semantic Interpretation. [REVIEW] Sophia 52 (4):573-592.score: 12.0
    Philo's argument from evil in a much-discussed passage in Part X of Hume's Dialogues concerning Natural Religion (1779) has been interpreted in three main ways: as a logical argument from evil, as an evidential argument from evil, and as an argument against natural theology's inference of a benevolent and merciful God from the course of the world. I argue that Philo is not offering an argument of any of these sorts, but is arguing that there is a radical disanalogy between (...)
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  49. Diana McKinley & Webber (2012). Important Aspects of Catholic Identity for Committed Generations X and Y Catholics. Australasian Catholic Record, The 89 (3):322.score: 12.0
    McKinley, Diana; Webber, Ruth This paper is an ecclesial study of the baptismal response of twenty-three Catholics between the ages of twenty-one and forty-one, from six Catholic dioceses across Australia. The study was undertaken between 2008 and 2010. The purpose of the study was to investigate how committed Catholics from Generation X (born 1961-1975) and Generation Y (born 1976-1990) came to faith, and why they continued to practise their Catholic faith, despite falling Mass attendance generally. An unexpected result of the (...)
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  50. Marouane Ben Miled (2008). Mesurer le Continu, Dans la Tradition Arabe Des Livres V Et X Des Éléments. Arabic Sciences and Philosophy 18 (1):1-18.score: 12.0
    In order to find positive solutions for third-degree equations, which he did not know how to solve for roots, m proceeds by the intersections of conic sections. The representation of an algebraic equation by a geometrical curve is made possible by the choices of units of measure for lengths, surfaces, and volumes. These units allow a numerical quantity to be associated with a geometrical magnitude. Is there a trace of this unit in the mathematicians to whom al-Khayyām refers directly in (...)
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