Results for 'Diophantine Analysis'

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  1. On the Interpretations of the History of Diophantine Analysis: A Comparative Study of Alternate Perspectives.Ioannis M. Vandoulakis - 2018 - Ganita Bharati 40 (3):115-152.
    Essay Review of “Les Arithmétiques de Diophante. Lecture historique et mathématique” by Roshdi Rashed and Christian Houzel, and Histoire de l’analyse diophantienne classique : d’Abū Kamil à Fermat by Roshdi Rashed.
     
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  2.  5
    History of the Theory of Numbers: Vol. II "Diophantine Analysis" by L. E. Dickson. [REVIEW]J. Child - 1921 - Isis 4:107-108.
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  3.  4
    Herbrand analysis of 2 proofs of the Roth theorem-polynomial Bounds.H. Luckhardt - 1989 - Journal of Symbolic Logic 54 (1):234-263.
    A previously unexplored method, combining logical and mathematical elements, is shown to yield substantial numerical improvements in the area of Diophantine approximations. Kreisel illustrated the method abstractly by noting that effective bounds on the number of elements are ensured if Herbrand terms from ineffective proofs ofΣ2-finiteness theorems satisfy certain simple growth conditions. Here several efficient growth conditions for the same purpose are presented that are actually satisfied in practice, in particular, by the proofs of Roth's theorem due to Roth (...) equations and inequalities, log logqν, shrink)
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  4.  20
    On the youthful writings of Louis J. Mordell on the Diophantine equation y2-k=x3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$y^2-k=x^3$$\end{document}. [REVIEW]François Lê & Sébastien Gauthier - 2019 - Archive for History of Exact Sciences 73 (5):427-468.
    This article examines the research of Louis J. Mordell on the Diophantine equation y2-k=x3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$y^2-k=x^3$$\end{document} as it appeared in one of his first papers, published in 1914. After presenting a number of elements relating to Mordell’s mathematical youth and his (problematic) writing, we analyze the 1914 paper by following the three approaches he developed therein, respectively, based on the quadratic reciprocity law, on ideal numbers, and on binary cubic forms. This (...) allows us to describe many of the difficulties in reading and understanding Mordell’s proofs, difficulties which we make explicit and comment on in depth. (shrink)
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  5. Are There Absolutely Unsolvable Problems? Godel's Dichotomy.S. Feferman - 2006 - Philosophia Mathematica 14 (2):134-152.
    This is a critical analysis of the first part of Go¨del’s 1951 Gibbs lecture on certain philosophical consequences of the incompleteness theorems. Go¨del’s discussion is framed in terms of a distinction between objective mathematics and subjective mathematics, according to which the former consists of the truths of mathematics in an absolute sense, and the latter consists of all humanly demonstrable truths. The question is whether these coincide; if they do, no formal axiomatic system (or Turing machine) can comprehend the (...)
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  6.  56
    Herbrand-analysen zweier beweise Des satzes Von Roth: Polynomiale anzahlschranken.H. Luckhardt - 1989 - Journal of Symbolic Logic 54 (1):234-263.
    A previously unexplored method, combining logical and mathematical elements, is shown to yield substantial numerical improvements in the area of Diophantine approximations. Kreisel illustrated the method abstractly by noting that effective bounds on the number of elements are ensured if Herbrand terms from ineffective proofs of Σ 2 -finiteness theorems satisfy certain simple growth conditions. Here several efficient growth conditions for the same purpose are presented that are actually satisfied in practice, in particular, by the proofs of Roth's theorem (...)
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  7. The Analysis of Mind.Bertrand Russell - 1921 - Duke University Press.
    This anthology is a thorough introduction to classic literature for those who have not yet experienced these literary masterworks. For those who have known and loved these works in the past, this is an invitation to reunite with old friends in a fresh new format. From Shakespeare's finesse to Oscar Wilde's wit, this unique collection brings together works as diverse and influential as The Pilgrim's Progress and Othello. As an anthology that invites readers to immerse themselves in the masterpieces of (...)
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  8. Conceptual Analysis, Dualism, and the Explanatory Gap.Ned Block & Robert Stalnaker - 1999 - Philosophical Review 108 (1):1-46.
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  9. The Analysis of Knowledge.Jonathan Ichikawa & Matthias Steup - 2014 - Stanford Encylopedia of Philosophy.
  10. The ‘Empirical’ in the Empirical Turn: A Critical Analysis.Mariska Thalitha Bosschaert & Vincent Blok - 2022 - Foundations of Science 1:1-22.
    During the second half of the twentieth century, several philosophers of technology argued that their predecessors had reflected too abstractly and pessimistically on technology. In the view of these critics, one should study technologies empirically in order to fully understand them. They developed several strategies to empirically inform the philosophy of technology and called their new approach the empirical turn. However, they provide insufficient indications of what exactly is meant by empirical study in their work. This leads to the critical (...)
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  11.  48
    Analysis as Translation.Diego Marconi - 2019 - Topoi 38 (2):347-360.
    Different notions of analysis have been both theorized and put to use in early analytic philosophy. Two of them stand out: connective analysis and analysis as paraphrase. The latter played a central role in the development of analytic philosophy from Frege to Quine and beyond. With the advent of formal semantics of natural language in the 1970s, paraphrase came to be characterizable as translation into a formal “target language”. While I claim that the method cannot achieve its (...)
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  12. Analysis of Mind.Bertrand Russell - 1995 - Routledge.
    One of Russell's most important and interesting books which reconciles the materialistic tendency of psychology with the anti-materialistic tendency of physics.
     
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  13. The Analysis of Sensations.Ernst Mach - 1959 - Dover Publications.
    Born in 1838, Mach was a pioneer in the field of physics, having even made an impression on Einstein in his younger life who credited him with being the "Philosophical forerunner of relativity theory." His name is also associated with the speed of sound (as in traveling at Mach "insert-number-here") as well as the Doppler effect. Throughout his career, he was particularly interested in the biological and sensory relationship to physics and science, and naturally, this interest expanded to that of (...)
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  14. A rational analysis of production system architecture. Anderson Jr & N. Kushmerick - 1990 - Bulletin of the Psychonomic Society 28 (6):509-509.
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  15. Ancient Greek Mathēmata from a Sociological Perspective: A Quantitative Analysis.Leonid Zhmud & Alexei Kouprianov - 2018 - Isis 109 (3):445-472.
    This essay examines the quantitative aspects of Greco-Roman science, represented by a group of established disci¬plines, which since the fourth century BC were called mathēmata or mathē¬ma¬tikai epistē¬mai. In the group of mathēmata that in Antiquity normally comprised mathematics, mathematical astronomy, harmonics, mechanics and optics, we have also included geography. Using a dataset based on The Encyclopaedia of Ancient Natural Scientists, our essay considers a community of mathēmatikoi (as they called themselves), or ancient scientists (as they are defined for the (...)
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  16. An analysis of the Turing test.James H. Moor - 1976 - Philosophical Studies 30 (4):249 - 257.
  17.  85
    Analysis of Generative Mechanisms.Björn Blom & Stefan Morén - 2011 - Journal of Critical Realism 10 (1):60-79.
    The focus of this article is the analysis of generative mechanisms, a basic concept and phenomenon within the metatheoretical perspective of critical realism. It is emphasized that research questions and methods, as well as the knowledge it is possible to attain, depend on the basic view – ontologically and epistemologically – regarding the phenomenon under scrutiny. A generative mechanism is described as a trans empirical but real existing entity, explaining why observable events occur. Mechanisms are mostly possible to grasp (...)
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  18. Defining disease beyond conceptual analysis: an analysis of conceptual analysis in philosophy of medicine.Maël Lemoine - 2013 - Theoretical Medicine and Bioethics 34 (4):309-325.
    Conceptual analysis of health and disease is portrayed as consisting in the confrontation of a set of criteria—a “definition”—with a set of cases, called instances of either “health” or “ disease.” Apart from logical counter-arguments, there is no other way to refute an opponent’s definition than by providing counter-cases. As resorting to intensional stipulation is not forbidden, several contenders can therefore be deemed to have succeeded. This implies that conceptual analysis alone is not likely to decide between naturalism (...)
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  19.  3
    Analysis of Mind.Bertrand Russell - 1921 - Routledge.
    One of Russell's most important and interesting books which reconciles the materialistic tendency of psychology with the anti-materialistic tendency of physics.
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  20.  15
    Framing Dynamically Changing Firm–Stakeholder Relationships in an International Dispute Over a Foreign Investment: A Discursive Analysis Approach.Johanna Kujala & Hanna Lehtimaki - 2017 - Business and Society 56 (3):487-523.
    Stakeholder literature tends to presume that effective stakeholder dialogue, occurring directly or indirectly, among a focal firm, local communities, governments, and nongovernmental organizations is desirable for successful firm–stakeholder relationships. Even if theoretically desirable, effective dialogue does not always occur. There are two key theory-informing lessons in Botnia’s Fray Bentos successful green field pulp mill investment and start-up in Western Uruguay. First, critics could not halt the project politically supported by Uruguay in an expanding multi-party international dispute. Second, the Botnia corporate (...)
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  21. Concepts and conceptual analysis.Stephen Laurence & Eric Margolis - 2003 - Philosophy and Phenomenological Research 67 (2):253-282.
    Conceptual analysis is undergoing a revival in philosophy, and much of the credit goes to Frank Jackson. Jackson argues that conceptual analysis is needed as an integral component of so-called serious metaphysics and that it also does explanatory work in accounting for such phenomena as categorization, meaning change, communication, and linguistic understanding. He even goes so far as to argue that opponents of conceptual analysis are implicitly committed to it in practice. We show that he is wrong (...)
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  22. Automated psycholinguistic analysis of the Anglophone manosphere.Mark Alfano, Byrne Joanne & Roose Joshua - 2023 - In Matthew Lindauer, James R. Beebe & Justin Sytsma (eds.), Advances in Experimental Political Philosophy. New York: Bloomsbury.
  23.  14
    The Analysis of Teachers’ Perceptions of Moral Education Curriculum.Quankun Zhang, Norzihani Binti Saharuddin & Nor Azni Binti Abdul Aziz - 2022 - Frontiers in Psychology 13:967927.
    With the development of teachers’ psychological cognition, the moral education curriculum develops as per the changes in times. Currently, a resurgence of interest on studying teachers’ perceptions of the moral education curriculum has observed. This is because moral education curriculum of each country plays a unique role in the overall design of the country’s education curriculum. However, studies on teachers’ perceptions of the moral education curriculum are scarce, and no framework has been developed to guide the teaching and learning of (...)
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  24.  21
    Criterion analysis--An application of the hypothetico-deductive method to factor analysis.H. J. Eysenck - 1950 - Psychological Review 57 (1):38-53.
  25.  31
    An Analysis of 10 years of Business Ethics Research in Strategic Management Journal: 1996–2005.Christopher J. Robertson - 2008 - Journal of Business Ethics 80 (4):745-753.
    From a corporate governance perspective, one of the most important jobs of a firm's top management team is to create and maintain a positive moral environment. Business ethics has long been considered a cornerstone in the field of strategic management and a number of scholars have called for more research in this area over the years. In this paper 658 articles that appeared in "Strategic Management Journal" over the 10-year period between 1996 and 2005 are reviewed for business ethics focus (...)
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  26.  80
    Robustness analysis disclaimer: please read the manual before use!Jaakko Kuorikoski, Aki Lehtinen & Caterina Marchionni - 2012 - Biology and Philosophy 27 (6):891-902.
    Odenbaugh and Alexandrova provide a challenging critique of the epistemic benefits of robustness analysis, singling out for particular criticism the account we articulated in Kuorikoski et al.. Odenbaugh and Alexandrova offer two arguments against the confirmatory value of robustness analysis: robust theorems cannot specify causal mechanisms and models are rarely independent in the way required by robustness analysis. We address Odenbaugh and Alexandrova’s criticisms in order to clarify some of our original arguments and to shed further light (...)
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  27. Narrative Logic. A Semantic Analysis of the Historian's Language.[author unknown] - 1988 - Tijdschrift Voor Filosofie 50 (1):193-194.
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  28.  18
    Diophantine definability over non-finitely generated non-degenerate modules of algebraic extensions of ℚ.Alexandra Shlapentokh - 2001 - Archive for Mathematical Logic 40 (4):297-328.
    We investigate the issues of Diophantine definability over the non-finitely generated version of non-degenerate modules contained in the infinite algebraic extensions of the rational numbers. In particular, we show the following. Let k be a number field and let K inf be a normal algebraic, possibly infinite, extension of k such that k has a normal extension L linearly disjoint from K inf over k. Assume L is totally real and K inf is totally complex. Let M inf be (...)
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  29.  26
    Diophantine Induction.Richard Kaye - 1990 - Annals of Pure and Applied Logic 46 (1):1-40.
    We show that Matijasevič's Theorem on the diophantine representation of r.e. predicates is provable in the subsystem I ∃ - 1 of Peano Arithmetic formed by restricting the induction scheme to diophantine formulas with no parameters. More specifically, I ∃ - 1 ⊢ IE - 1 + E ⊢ Matijasevič's Theorem where IE - 1 is the scheme of parameter-free bounded existential induction and E is an ∀∃ axiom expressing the existence of a function of exponential growth. We (...)
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  30.  6
    Research status of the periodic table: a bibliometric analysis.Kamna Sharma, Deepak Kumar Das & Saibal Ray - forthcoming - Foundations of Chemistry:1-14.
    In this paper, we present a bibliometric analysis of the Periodic Table. We have conducted a comprehensive analysis of Scopus based database using the keyword “Mendeleev Periodic Table". Our findings suggest that the Periodic Table is an influential topic in the field of Inorganic as well as Organic Chemistry. Areas for future research could include on expanding our analysis to include other bibliometric indicators to gain a more comprehensive understanding of the impact of the Periodic Table in (...)
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  31.  8
    Are Animals Needed for Food Supply, Efficient Resource Use, and Sustainable Cropping Systems? An Argumentation Analysis Regarding Livestock Farming.Olle Torpman & Elin Röös - 2024 - Food Ethics 9 (2).
    It has been argued that livestock farming is necessary to feed a growing population, that it enables efficient use of land and biomass that would otherwise be lost from the food system, that it produces manure that is necessary for crop cultivation, and helps improve the sustainability of cropping systems by inclusion of perennial forage crops in otherwise low-diversity crop rotations. In this paper, we analyze these arguments in favor of livestock farming. Through argumentation analysis based on scientific data, (...)
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  32.  49
    An analysis of undergraduate and graduate student nurses' moral sensitivity.R. W. Comrie - 2012 - Nursing Ethics 19 (1):116-127.
    This study describes the level of moral sensitivity among nursing students enrolled in a traditional baccalaureate nursing program and a master’s nursing program. Survey responses to the Modified Moral Sensitivity Questionnaire for Student Nurses from 250 junior, senior, and graduate students from one nursing school were analyzed. It was not possible to draw conclusions based on the tool. Moral category analysis showed students ranked the category structuring moral meaning highest and interpersonal orientation second. The moral issue ranking highest was (...)
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  33.  9
    Participatory Analysis, Democracy, and Technological Decision Making.Frank N. Laird - 1993 - Science, Technology and Human Values 18 (3):341-361.
    Scientific and technological policy issues are not and should not be exempt from the norms of democratic governance. This article examines two major theories of democracy, analyzes their commonalities and differences, and derives criteria for evaluating various forms of public participation in policymaking. The author argues for a new category of participation, participatory analysis, that includes forms of participation that satisfy democratic criteria and emphasizes the importance of learning among participants. Different types of participatory analysis may be best (...)
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  34.  24
    On comparing ancient chinese and greek ethics: The tertium comparationis as tool of analysis and evaluation.Ralph Weber - 2015 - In .
  35.  7
    The Analysis of Fractional-Order Proportional Delay Physical Models via a Novel Transform.Meshari Alesemi, Naveed Iqbal & Ahmed A. Hamoud - 2022 - Complexity 2022:1-13.
    In this paper, we deal with an alternative analytical analysis of fractional-order partial differential equations with proportional delay, achieved by applying Yang decomposition method, where the fractional derivative is taken in Caputo sense. The suggested series results are discovered to quickly converge to an exact solution. The computation of three test problems of fractional-order with proportional delay partial differential equations was presented to confirm the validity and efficiency of suggested method. The system appears to be a very dependable, effective, (...)
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  36.  10
    What’s Good About Inclusion? An Ethical Analysis of the Ideal of Social Inclusion for People with Profound Intellectual and Multiple Disabilities.Simon van der Weele & Femmianne Bredewold - 2024 - Health Care Analysis 32 (2):106-123.
    Abstract‘Social inclusion’ is the leading ideal in services and care for people with intellectual disabilities in most countries in the Global North. ‘Social inclusion’ can refer simply to full equal rights, but more often it is taken to mean something like ‘community participation’. This narrow version of social inclusion has become so ingrained that it virtually goes unchallenged. The presumption appears to be that there is a clear moral consensus that this narrow understanding of social inclusion is good. However, that (...)
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  37.  15
    Single women’s access to egg freezing in mainland China: an ethicolegal analysis.Hao Wang - 2024 - Journal of Medical Ethics 50 (1):50-56.
    In the name of safeguarding public interests and ethical principles, China’s National Health Commission bans unmarried women from using assisted reproductive technology (ART), including egg freezing. Supported by local governments, the ban has restricted single women’s reproductive rights nationwide. Although some courts bypassed the ban to allow widowed single women to use ART, they have not adopted a position in favour of single women’s reproductive autonomy, but quite the contrary. Faced with calls to relax the ban and allow single women (...)
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  38.  5
    A dimensional analysis of inner strength in people ageing with serious illness.Brianna E. Morgan - 2020 - Nursing Inquiry 27 (4):e12353.
    Nursing models of care show promise in addressing the needs of older adults facing serious illness through supporting inner strength. However, previous conceptual and theoretical models of inner strength are limited. This concept analysis used dimensional analysis methods to explore inner strength in people ageing with serious illness to address limitations by defining a pragmatic, data‐driven model. This study analyzed published literature of adults with serious illness that describes inner strength. Thirty articles were selected after review. The result (...)
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  39.  38
    A Descriptive Analysis of Environmental Disclosure: A Longitudinal Study of French Companies.Elisabeth Albertini - 2014 - Journal of Business Ethics 121 (2):233-254.
    For the last 15 years, companies have extensively increased their environmental disclosure relative to their environmental strategy in response to institutional pressures. Based on a computerized content analysis of the annual reports of the 55 largest French industrial companies, we describe environmental disclosure with respect to the different strategies implemented by companies over a period of 6 years. The results show that environmental disclosure becomes more and more technical and precise for all the companies. Environmental innovations are presented as (...)
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  40.  19
    Ecosemiotic Analysis of Species Reintroduction: the Case of European Mink (Mustela lutreola) in Estonia.Riin Magnus & Nelly Mäekivi - 2023 - Biosemiotics 16 (2):239-258.
    Species conservation activities are gaining more attention in the context of environmental degradation. This article proposes to tackle different semiotic aspects of reintroduction as one possible way of furthering species conservation. More specifically, we aim to bring forth the strength of ecosemiotic perspective when dealing with such a complex matter with many different human and non-human subjects. We concentrate on animal agency, search and function tone, semiotic fitting and changes in umwelten when analysing the reintroduction process from the perspective of (...)
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  41. Philosophical analysis and the problem of defining racism.Clevis Headley - 2006 - Philosophia Africana 9 (1):1-16.
  42.  4
    An Analysis of the Ideological Potential of Video Games from the Point of View of James Gibson’s Theory of Affordances.L. V. Moyzhes - 2020 - Sociology of Power 32 (3):32-52.
    The purpose of this article is to propose a method for analyzing the ideo­logical content of video games while taking into account the agency of the players. The interactivity of video games as a medium has been attracting the attention of researchers for many years, raising, in particular, the ques­tion of how this unique property serves to broadcast certain ideologies. The ability of games to make ideological statements was discussed by Bogost, Frasca, Aarseth, and many other pioneers of game studies. (...)
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  43.  11
    Analysis and Characterization of the Spread of COVID-19 in Mexico through Complex Networks and Optimization Approaches.Edwin Montes-Orozco, Roman-Anselmo Mora-Gutiérrez, Sergio-Gerardo de-los-Cobos-Silva, Eric A. Rincón-García, Miguel A. Gutiérrez-Andrade & Pedro Lara-Velázquez - 2022 - Complexity 2022:1-12.
    This work analyzes and characterizes the spread of the COVID-19 disease in Mexico, using complex networks and optimization approaches. Specifically, we present two methodologies based on the principle of the rupture for the GC and Newton's law of motion to quantify the robustness and identify the Mexican municipalities whose population causes a fast spread of the SARS-CoV-2 virus. Specifically, the first methodology is based on several characteristics of the original version of the Vertex Separator Problem, and the second is based (...)
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  44.  6
    Rasch Analysis of Authentic Evaluation of Young Children's Functioning in Classroom Routines.Catalina Patricia Morales-Murillo, Pau García-Grau, R. A. McWilliam & Ma Dolores Grau Sevilla - 2021 - Frontiers in Psychology 12.
    This study evaluated the functioning of children in early childhood education classroom routines, using the 3M Functioning in Preschool Routines Scale. A total of 366 children aged 36 to 70 months and 22 teachers from six early childhood education centers in Spain participated in the study. The authors used the Rasch model to determine the item fit and the difficulty of the items in relation to children's ability levels in this age range. The Rasch Differential Item Functioning analysis by (...)
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  45. An Education for “Practical” Conceptual Analysis in the Practice of “Philosophy for Children”.Arthur Wolf - 2018 - Analytic Teaching and Philosophical Praxis 39 (1):73-88.
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  46.  58
    Transparent emotions? A critical analysis of Moran's transparency claim.Naomi Kloosterboer - 2015 - Philosophical Explorations 18 (2):246-258.
    I critically analyze Richard Moran's account of knowing one's own emotions, which depends on the Transparency Claim for self-knowledge. Applied to knowing one's own beliefs, TC states that when one is asked “Do you believe P?”, one can answer by referencing reasons for believing P. TC works for belief because one is justified in believing that one believes P if one can give reasons for why P is true. Emotions, however, are also conceptually related to concerns; they involve a response (...)
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  47.  66
    Erotetic arguments: A preliminary analysis.Andrzej Wiśniewski - 1991 - Studia Logica 50 (2):261 - 274.
    The concept of erotetic argument is introduced. Two relations between sets of declarative sentences and questions are analysed; and two classes of erotetic arguments are characterized.
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  48.  32
    Semantical analysis of Arruda da costap systems and adjacent non-replacement relevant systems.Richard Routley & Andréa Loparić - 1978 - Studia Logica 37 (4):301 - 320.
  49. The analysis of rights.Leif Wenar - 2008 - In Matthew H. Kramer (ed.), The Legacy of H.L.A. Hart: Legal, Political, and Moral Philosophy. Oxford University Press.
     
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  50. Naturalism: A Critical Analysis.William Lane Craig & J. P. Moreland (eds.) - 2000 - New York: Routledge.
    _Naturalism_ provides a rigorous analysis and critique of the major varieties of contemporary philosophical naturalism. The authors advocate the thesis that contemporary naturalism should be abandoned, in light of the serious objections raised against it. Contributors draw on a wide range of topics including: epistemology, the philosophy of science, the philosophy of mind and agency, and natural theology.
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