Results for 'Euclides J. Mendonça Filho'

961 found
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  1.  16
    Policy Implications of Achievement Testing Using Multilevel Models: The Case of Brazilian Elementary Schools.Igor G. Menezes, Victor R. Duran, Euclides J. Mendonça Filho, Tainã J. Veloso, Stella M. S. Sarmento, Christine L. Paget & Kai Ruggeri - 2016 - Frontiers in Psychology 7.
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  2.  24
    Algumas questões pastorais a partir Das novas diretrizes da cnbb: Sair do Lugar estreito.Me João da Silva Mendonça Filho - 2011 - Revista de Teologia 5 (8):p - 81.
    O autor nos apresenta um quadro de reflexões pastorais a partir das Diretrizes da Ação Evangeli-zadora da Igreja do Brasil. Trata-se de uma auto-avaliação propositiva, pois resgata o valor de inserir nossa ação na complexa realidade juvenil, na atitude missionária e na vivência comunitária de uma Igreja que está sempre em formação desde a saída das estreitezas que a vida nos impõe. É preciso marchar sem medo da grandiosidade dos desafios, sem perder o foco no anúncio da Palavra que salva (...)
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  3.  9
    Ratzinger: libertad y moral política.Euclides J. Eslava Gómez & Karol Murcia - 2023 - Isidorianum 32 (2):201-236.
    En este artículo se esboza la relación entre la libertad y la moral política en el pensamiento de Joseph Ratzinger. Para ello, se exponen los fundamentos teológicos y antropológicos que justifican el concepto de libertad y el significado de la política como ámbito de la razón moral. Por último, se propone que un adecuado concepto de libertad, cuyo presupuesto es la verdad, facilita la comprensión y el desarrollo de la actividad política a partir de su naturaleza moral.
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  4. Ainda é preciso ser neopirrônico [It is still necessary to be neo-Pyrrhonian].Waldomiro J. Silva Filho - 2020 - Discurso 50 (2):78-96.
    This article deals with two questions: why would the way in which the neopyrronicle conducts his philosophical activity be more virtuous than his dogmatic, non-pyrrhic colleague does? And why would the result he achieves be more valuable? That said, my answer to the first question is that the way the neo-Pyrrhonian investigates is more virtuous because it seeks to deliberately avoid the vices of precipitation, arrogance and mental closure. Regarding the second question, I suggest that the outcome of the neopyronic (...)
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  5.  46
    Realism in Energy Transition Processes: An Example from Bohmian Quantum Mechanics.J. Acacio De Barros, J. P. R. F. De Mendonça & N. Pinto-Neto - 2007 - Synthese 154 (3):349 - 370.
    In this paper we study in details a system of two weakly coupled harmonic oscillators from the point of view of Bohm's interpretation of quantum mechanics. This system may be viewed as a simple model for the interaction between a photon and a photodetector. We obtain exact solutions for the general case. We then compute approximate solutions for the case where one oscillator is initially in its first excited state (a single photon) reaching the other oscillator in its ground state (...)
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  6. Propensity, probability, and quantum physics.J. Barretto Bastos Filho & F. Selleri - 1995 - Foundations of Physics 25 (5):701-716.
    Popper's idea of propensities constituting the physical background of predictable probabilities is reviewed and developed by introducing a suitable formalism compatible with standard probability calculus and with its frequency interpretation. Quantum statistical ensembles described as pure cases (“eigenstates”) are shown to be necessarily not homogeneous if propensities are actually at work in nature. An extension of the theory to EPR experiments with local propensities leads to a new and more general proof of Bell's theorem. No joint probabilities for incompatible observables (...)
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  7. Racionalidad para los humanos.Waldomiro J. Silva Filho - 2021 - Análisis Filosófico 41 (1):67-89.
    This article discusses the notion of rationality and agency in Fernando Broncano's Racionalidad, Acción y Opacidad (2017). In this book, contradicting the apriorist normative theses or simple naturalistic descriptivism, Broncano argues that rationality is something that is directly associated with our ordinary practices of evaluating the judgments, actions and decisions of others. “Rationality” should be considered as a term we use as an intellectual qualifier or as a virtue we bestow on people who can make theoretical and practical decisions autonomously. (...)
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  8.  92
    An Epistemic Non-individualistic Point of View on Reflection: An Essay.Waldomiro J. Silva Filho - forthcoming - Kriterion – Journal of Philosophy:731-756.
    This essay aims to motivate an epistemic non-individualistic conception of reflection. The proposal is non-individualistic because (a) it addresses more than individual metacognitive performance and (b) it refers to a situation in which two or more people are in dialogical disagreement about the same subject matter or target proposition; (c) their dispute is based on conversational space and they are entitled to expect one another to be engaged in attempts at truth, avoidance of error, and understanding. I call this proposal (...)
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  9.  48
    Thinking About Oneself: The Place and Value of Reflection in Philosophy and Psychology.Waldomiro J. Silva-Filho & Luca Tateo (eds.) - 2019 - Berlin: Springer Verlag.
    Since the famous passage in which Socrates (Plato 38a5-6) says that the unexamined, and therefore non-reflected, life is not worth living, “reflection” has been a diffuse and iterant term in ethics, moral philosophy, epistemology, political philosophy, but also in psychology. This volume opens a new perspective on the topic of reflection, considering the most recent approaches in both philosophy (namely in epistemology ) and cultural psychology.
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  10.  19
    Task Allocation in Distributed Software Development: A Systematic Literature Review.Marum Simão Filho, Plácido R. Pinheiro, Adriano B. Albuquerque & Joel J. P. C. Rodrigues - 2018 - Complexity 2018:1-13.
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  11. Behavior of overhead transmission line parameters on the presence of ground wires.S. Kurokawa Filho, J. P. Tavares, M. C. Portela & A. J. Cm Prado - 2005 - In Alan F. Blackwell & David MacKay (eds.), Power. Cambridge University Press.
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  12.  8
    Thinking about Oneself: The Place of Reflection in Philosophy and Psychology.Waldomiro J. Silva-Filho & Luca Tateo (eds.) - 2019 - Chan, Switzerland: Springer.
    What is the place and value of reflection in people’s lives? The answer requires a careful discussion about the relationship between our epistemic performances, our intellectual capabilities and competencies, our affective relationships with the environment, our actions and our interpersonal interactions. It is a fact that for us to navigate and interact with the world and with our society, we sometimes think about our reasons, we give reasons, we change our minds, and even think about our habits and character traits (...)
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  13. Crença, Verdade, Racionalidade.Waldomiro Silva Filho, Plinio J. Smith & Santos P. (eds.) - 2015 - Salvador: Edufba.
    This book gathers the contribution of Brazilian and Argentine philosophers around themes of contemporary analytical philosophy.
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  14.  4
    Comentário a “Materialismo prático-poiético: um outro paradigma para a filosofia contempor'nea e brasileira”: a filosofia é conversação.Waldomiro J. Silva Filho - 2023 - Trans/Form/Ação 46 (spe1):339-346.
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  15.  8
    Entre pessoas.Waldomiro J. Silva Filho - 2022 - Cognitio 23 (1):e58222.
    Este artigo argumenta que uma Epistemologia da Conversação deve ser compreendida como um campo da Epistemologia Social que se dedica a investigar as normas estritamente epistêmicas que regem a interação entre duas ou mais pessoas acerca de suas crenças e outros estados epistêmicos. Uma definição elementar de conversação é: um ato comunicativo cooperativo nos quais os participantes assumem propósitos comuns e o compromisso de contribuir com declarações (asserções) relevantes. Partindo dessa definição elementar, o artigo apresenta quatro temas que deveriam ser (...)
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  16.  20
    What epistemologists talk about when they talk about reflection.Waldomiro J. Silva Filho & Giovanni Rolla - 2021 - Cognitio 21 (2):307-320.
    Na filosofia analítica contemporânea, enquanto alguns epistemólogos afirmam que a reflexão – entendida como autoexame crítico das crenças – é uma condição necessária para a atribuição de estados epistêmicos valiosos, outros rejeitam essa afirmação e sustentam que os filósofos tendem a superestimar o valor da reflexão em seus relatos de fenômenos epistemológicos. Neste ensaio, apresentamos um breve panorama desse debate e indicamos os elementos que constituem o desacordo entre epistemólogos. Nosso diagnóstico é que, a despeito do radical desacordo, essas posições (...)
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  17. Realism in energy transition processes: An example from Bohmian quantum mechanics.J. Acacio de Barros, J. P. R. F. de Mendonça & N. Pinto-Neto - 2007 - Synthese 154 (3):349-370.
    In this paper we study in details a system of two weakly coupled harmonic oscillators from the point of view of Bohm’s interpretation of quantum mechanics. This system may be viewed as a simple model for the interaction between a photon and a photodetector. We obtain exact solutions for the general case. We then compute approximate solutions for the case where one oscillator is initially in its first excited state (a single photon) reaching the other oscillator in its ground state (...)
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  18.  9
    The Changing Face of Alterity: Communication, Technology and Other Subjects.David J. Gunkel, Ciro Marcondes Filho & Dieter Mersch (eds.) - 2016 - New York: Rowman & Littlefield Publishers.
    Addressing a challenge and opportunity that is definitive of life in the 21st century, this book provides a range of possible solutions that serve to motivate and structure future research and debate around the concept of 'the other' in communication.
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  19.  27
    Neuropsychological Assessment of Older Adults With Virtual Reality: Association of Age, Schooling, and General Cognitive Status.Camila R. Oliveira, Brandel J. P. Lopes Filho, Cristiane S. Esteves, Tainá Rossi, Daniela S. Nunes, Margarida M. B. M. P. Lima, Tatiana Q. Irigaray & Irani I. L. Argimon - 2018 - Frontiers in Psychology 9:355603.
    The development of neuropsychological assessment methods using virtual reality (VR) is a valid and promising option for the detection of cognitive impairment in the older people, focusing on activities composed of tasks of multiple demands. This study verified the association of age, schooling, and general cognitive status on the performance of neurologically healthy older adults in ECO-VR, a virtual reality task of multiple demands for neuropsychological assessment. A total of 111 older adults answered a sociodemographic questionnaire, the Mini Mental State (...)
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  20.  8
    An Argument in Favor of Deep Brain Stimulation for Uncommon Movement Disorders: The Case for N-of-1 Trials in Holmes Tremor.Marcelo Mendonça, Gonçalo Cotovio, Raquel Barbosa, Miguel Grunho & Albino J. Oliveira-Maia - 2022 - Frontiers in Human Neuroscience 16.
    Deep brain stimulation is part of state-of-the-art treatment for medically refractory Parkinson’s disease, essential tremor or primary dystonia. However, there are multiple movement disorders that present after a static brain lesion and that are frequently refractory to medical treatment. Using Holmes tremor as an example, we discuss the effectiveness of currently available treatments and, performing simulations using a Markov Chain approach, propose that DBS with iterative parameter optimization is expected to be more effective than an approach based on sequential trials (...)
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  21. Pessoas Epistemicamente Virtuosas.Silva Filho & J. Waldomiro - 2013 - Philósophos 18.
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  22.  16
    Verificação das afirmações de Rousseau.J. G. Fichte & Rubens Rodrigues Torres Filho - 1970 - Discurso 1 (1):5-6.
  23.  23
    Externalism sem dogmas.Silva Filho & J. Waldomiro - 2007 - O Que Nos Faz Pensar 123.
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  24.  40
    Feelings, Imagination and Self-Understanding.Silva Filho & J. Waldomiro - 2010 - Integr Psych Behav.
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  25.  30
    O autoconhecimento, o narrador onisciente, a vida comum.Silva Filho & J. Waldomiro - 2006 - Philósophos 11.
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  26.  28
    Transparência, reflexão e vicissitude.Waldomiro J. Silva Filho - 2011 - Kriterion: Journal of Philosophy 52 (123):213-236.
    This article discusses the notion of transparency condition proposed by Richard Moran in Authority and Estrangement (2001). According to this notion the question in the first-person present tense about our own belief ("Do I believe in p?") is answered in reference with the same reasons that justify the answer to a corresponding question about the world (about the truth of p). Transparency, in this sense, is the fundamental characteristic of self-knowledge in the context of common experience. Understanding this idea helps (...)
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  27. Cybernetics Is the Answer, but What Was the Conversation About?J. dos Santos Cabral Filho - 2016 - Constructivist Foundations 11 (3):587-589.
    Open peer commentary on the article “Design Research as a Variety of Second-Order Cybernetic Practice” by Ben Sweeting. Upshot: It is suggested that the main arguments of the target article could be constructed in an easier way and would become even more compelling if a radical consideration of the systemic nature of design were taken into account.
     
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  28. Africas youthful population: risk or opportunity?Lori S. Ashford, R. A. Garcia, B. S. Soares Filho, Y. Cai, R. Lakshminarayanan, J. F. May, E. Bos, R. Hasan, E. Suzuki & T. R. Aryal - 2007 - Journal of Biosocial Science 39 (5):693-706.
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  29.  24
    Entre a crítica ao ceticismo e uma filosofia positiva: considerações a partir de “Ceticismo dogmático e dogmatismo sem dogmas” de Plínio J. Smith.Roberto Bolzani Filho - 2007 - Dois Pontos 4 (2).
    Normal 0 21 This text develops some philosophical analyses on the complex and rich relationship between skepticism and dogmatism, and has as its starting point Plínio Smith's view expressed in his paper "Dogmatic Skepticism and Dogmatism without Dogmas", which critically discussed some texts I wrote on that subject. My main aim he re is to reconsider a problem noted by him in his paper, and, based on this, to advance some new ideas for a critical position on skepticism.
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  30.  11
    Multi-Sensor Wearable Health Device Framework for Real-Time Monitoring of Elderly Patients Using a Mobile Application and High-Resolution Parameter Estimation.Gabriel P. M. Pinheiro, Ricardo K. Miranda, Bruno J. G. Praciano, Giovanni A. Santos, Fábio L. L. Mendonça, Elnaz Javidi, João Paulo Javidi da Costa & Rafael T. de Sousa - 2022 - Frontiers in Human Neuroscience 15.
    Automatized scalable healthcare support solutions allow real-time 24/7 health monitoring of patients, prioritizing medical treatment according to health conditions, reducing medical appointments in clinics and hospitals, and enabling easy exchange of information among healthcare professionals. With recent health safety guidelines due to the COVID-19 pandemic, protecting the elderly has become imperative. However, state-of-the-art health wearable device platforms present limitations in hardware, parameter estimation algorithms, and software architecture. This paper proposes a complete framework for health systems composed of multi-sensor wearable health (...)
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  31.  19
    A dessublimação emancipadora de Sartre.Cristina Diniz Mendonça - 2006 - Doispontos 3 (2).
    Short historical and cultural sketch of France’s decisive years during the Second World War, between occupation and resistance, re f racted by the prism of the Sartrean figure of the engagé intellectual, which was born out of this conjuncture of sharp political crisis. This sketch, however, is extracted out of my analysis of the int e r nal organization of what seems to be, at first sig ht, Sartre’s most d i s e ng a ged work, one that was (...)
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  32.  21
    Decrease in Attentional Performance After Repeated Bouts of High Intensity Exercise in Association-Football Referees and Assistant Referees.Sergio L. Schmidt, Guilherme J. Schmidt, Catarina S. Padilla, Eunice N. Simões, Julio C. Tolentino, Paulo R. Barroso, Jorge H. Narciso, Erik S. Godoy & Rubens L. Costa Filho - 2019 - Frontiers in Psychology 10.
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  33.  55
    Proceedings from the IV Brazilian Meeting on Research Integrity, Science and Publication Ethics (IV BRISPE): Goi'nia, Brasil. 17-18 November 2016. [REVIEW]A. S. C. Abreu, H. S. Selistre-de-Araujo, D. Guilhem, M. R. C. G. Novaes, N. R. A. Silva, M. Palácios, P. G. Camacho, M. Russo, A. Abreu, S. Cruz-Riascos, L. V. R. Rezende, A. C. Quintela, J. Leta, E. Damasio, H. H. Caiaffa Filho, R. M. Catarino, A. A. B. Almodóvar, A. P. Vicentini, B. C. Machado, M. M. Sorenson, J. R. Lapa E. Silva, A. Palma, R. M. V. R. Almeida, E. H. Watanabe, D. Foguel, S. M. R. Vasconcelos, C. A. Guimarães, A. Schtscherbyna, J. C. Amaral, H. G. Falcão, F. R. Mota, S. C. Bourguignon, R. Kant de Lima, S. Liskauskas, M. C. Cassimiro, J. Araújo, A. S. Carvalho, M. Patrão Neves, F. M. Litto, M. D. P. Silva, L. S. Gracioso, A. C. Furnival, P. M. Lourenço, V. Ronchi, M. M. M. Machado, R. Amaral, M. D. Ribeiro, R. Neves, V. C. Garbocci, M. Fontes-Domingues, P. Biancovilli, R. T. Souza, P. V. S. Souza, D. C. Machado, C. C. Santos, A. M. Gollner, H. S. Pinheiro, G. A. Fófano, A. A. P. Santa Rosa, C. H. Debenedito Silva, A. M. M. Soares, M. M. P. Diós-Borges, E. Duarte & Gar - 2017 - Research Integrity and Peer Review 2 (Suppl 1).
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  34.  25
    Causas Excludentes.André Fuhrmann & Wilson Mendonça - 2000 - Principia: An International Journal of Epistemology 4 (2):257–276.
    We defend J. Kim's principle of explanatory exclusion from a recent criticism advanced by A Marras. We show that the principle follows from a less controversial principle of causal exclusion together with the assumption that claims of explanation are factual. We resolve the tension produced by Marras' argument by drawing a distinction between causal and explanatory relevance. In cross-level explanations (mental-to-physical and physical-to-mental) the explanans property is not causally but explanatorily relevant to the explanandum. This calls for an account of (...)
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  35.  29
    Abstrakte sinnesphysiologie AlS spekulative philosophie.W. P. Mendonça - 1989 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 20 (2):303-316.
    It is argued that the theories of the modern cognitive psychology of perception and recognition show, under rigorous logical analysis, the same problems which arise in the philosophical theories of knowledge of Descartes and Locke and lead to relativistic and solipsistic consequences. Through examination of the approachs of D. Sanders, E. B. Goldstein and J. Fodor it is shown that the perceptible world in these theories dissolves in internal representations so that despite its realistic starting-point modern cognitive psychology runs into (...)
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  36.  11
    The discourse of modernism.Timothy J. Reiss - 1982 - Ithaca: Cornell University Press.
    On method, discursive logics, and epistemology -- Questions of medieval discursive practice -- From the middle ages to the (w)hole of Utopia -- Kepler, his Dream, and the analysis and pattern of thought -- Campanella and Bacon: concerning structures of mind -- The masculine birth of time -- Cyrano and the experimental discourse -- The myth of sun and moon -- The difficulty of writing -- Crusoe rights his story -- Gulliver's critique of Euclid -- Emergence, consolidation, and dominance of (...)
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  37.  54
    Proceedings of the 4th World Conference on Research Integrity: Brazil, Rio de Janeiro. 31 May - 3 June 2015.Lex Bouter, Melissa S. Anderson, Ana Marusic, Sabine Kleinert, Susan Zimmerman, Paulo S. L. Beirão, Laura Beranzoli, Giuseppe Di Capua, Silvia Peppoloni, Maria Betânia de Freitas Marques, Adriana Sousa, Claudia Rech, Torunn Ellefsen, Adele Flakke Johannessen, Jacob Holen, Raymond Tait, Jillon Van der Wall, John Chibnall, James M. DuBois, Farida Lada, Jigisha Patel, Stephanie Harriman, Leila Posenato Garcia, Adriana Nascimento Sousa, Cláudia Maria Correia Borges Rech, Oliveira Patrocínio, Raphaela Dias Fernandes, Laressa Lima Amâncio, Anja Gillis, David Gallacher, David Malwitz, Tom Lavrijssen, Mariusz Lubomirski, Malini Dasgupta, Katie Speanburg, Elizabeth C. Moylan, Maria K. Kowalczuk, Nikolas Offenhauser, Markus Feufel, Niklas Keller, Volker Bähr, Diego Oliveira Guedes, Douglas Leonardo Gomes Filho, Vincent Larivière, Rodrigo Costas, Daniele Fanelli, Mark William Neff, Aline Carolina de Oliveira Machado Prata, Limbanazo Matandika, Sonia Maria Ramos de Vasconcelos & Karina de A. Rocha - 2016 - Research Integrity and Peer Review 1 (Suppl 1).
    Table of contentsI1 Proceedings of the 4th World Conference on Research IntegrityConcurrent Sessions:1. Countries' systems and policies to foster research integrityCS01.1 Second time around: Implementing and embedding a review of responsible conduct of research policy and practice in an Australian research-intensive universitySusan Patricia O'BrienCS01.2 Measures to promote research integrity in a university: the case of an Asian universityDanny Chan, Frederick Leung2. Examples of research integrity education programmes in different countriesCS02.1 Development of a state-run “cyber education program of research ethics” in (...)
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  38. Euclides ab omni naevo vindicatus.J. R. Lucas - 1969 - British Journal for the Philosophy of Science 20 (1):1-11.
    The issue is obscured by the fact that the word `space' can be used in four different ways. It can be used, first, as a term of pure mathematics, as when mathematicians talk of an `n-dimensional phase-space', an `n-dimensional vector-space', a `three-dimensional projective space' or a `twodimensional Riemannian space'. In this sense the word `space' means the totality of the abstract entities-the `points'-implicitly defined by the axioms. There is no doubt that there exist, iii this sense, non-Euclidean spaces, because all (...)
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  39. Euclid and pāṇini.J. F. Staal - 1965 - Philosophy East and West 15 (2):99-116.
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  40. Euclides en Pān̦ini.J. F. Staal - 1963 - Amsterdam,: Polak & Van Gennep.
     
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  41.  38
    Albertus ' Commentaar op Euclides' Elementen der Geometrie. P. M. J. E. Tummers.H. J. M. Bos - 1986 - Isis 77 (1):188-188.
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  42.  36
    Pseudo-Euclid, Introductio Harmonica.J. Cook Wilson - 1904 - The Classical Review 18 (03):150-151.
  43. Euclid's Parallel Postulate.J. W. Withers - 1905 - The Monist 15:309.
     
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  44.  8
    Beth E. W.. Wijsbegeerte der wiskunde . Euclides, vol. 17 , pp. 141–158.J. Kraft - 1941 - Journal of Symbolic Logic 6 (3):104-105.
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  45. Leibniz, Critique d'Euclide.J. Echeverria - 1997 - Synthesis Philosophica 12:363-370.
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  46.  4
    Space, Time and Einstein: An Introduction.J. B. Kennedy - 2003 - Routledge.
    This introduction to one of the liveliest and most popular fields in philosophy is written specifically for a beginning readership with no background in philosophy or science. Step-by-step analyses of the key arguments are provided and the philosophical heart of the issues is revealed without recourse to jargon, maths, or logical formulas. The book introduces Einstein's revolutionary ideas in a clear and simple way, along with the concepts and arguments of philosophers, both ancient and modern that have proved of lasting (...)
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  47. Philosophical.J. R. Lucas - unknown
    Plato began it. After thinking about the nature of argument he concluded that the correct way of reasoning was the axiomatic way, and formulated the programme of axiomatization that Eudoxus and Euclid subsequently carried out. Since then the axiomatic method has been firmly established, not only as the method for mathematics, but as a paradigm to which all other disciplines should strive to be assimilated; and in this present century not only has axiomatization been carried through as completely as it (...)
     
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  48.  9
    The Composition of Aristotle's Politics.J. L. Stocks - 1927 - Classical Quarterly 21 (3-4):177-187.
    In considering the question as to the order of composition of different portions of Aristotle's works it is necessary to start with some idea as to his method of composition. On looking at the surviving works one sees at a glance that at some date and by some hand they have been carefully arranged as a continuous series. Internal references forward and backward are frequent. The author refrains as carefully as Euclid does from anticipating ‘earlier’ discussion the answer to a (...)
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  49.  30
    The Composition of Aristotle's Politics.J. L. Stocks - 1927 - Classical Quarterly 21 (3-4):177-.
    In considering the question as to the order of composition of different portions of Aristotle's works it is necessary to start with some idea as to his method of composition. On looking at the surviving works one sees at a glance that at some date and by some hand they have been carefully arranged as a continuous series. Internal references forward and backward are frequent. The author refrains as carefully as Euclid does from anticipating ‘earlier’ discussion the answer to a (...)
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  50.  31
    Aspects of Aristotelian statics in Galileo's dynamics.J. De Groot - 2000 - Studies in History and Philosophy of Science Part A 31 (4):645-664.
    This paper examines geometrical arguments from Galileo's Mechanics and Two New Sciences to discern the influence of the Aristotelian Mechanical Problems on Galileo's dynamics. A common scientific procedure is found in the Aristotelian author's treatment of the balance and lever and in Galileo's rules concerning motion along inclined planes. This scientific procedure is understood as a development of Eudoxan proportional reasoning, as it was used in Eudoxan astronomy rather than simply as it appears in Euclid's Elements. Topics treated include the (...)
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