Results for 'paradox of the knower'

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  1.  66
    The Paradox of the Knower revisited.Walter Dean & Hidenori Kurokawa - 2014 - Annals of Pure and Applied Logic 165 (1):199-224.
    The Paradox of the Knower was originally presented by Kaplan and Montague [26] as a puzzle about the everyday notion of knowledge in the face of self-reference. The paradox shows that any theory extending Robinson arithmetic with a predicate K satisfying the factivity axiom K → A as well as a few other epistemically plausible principles is inconsistent. After surveying the background of the paradox, we will focus on a recent debate about the role of epistemic (...)
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  2. The paradox of the knower.C. Anthony Anderson - 1983 - Journal of Philosophy 80 (6):338-355.
  3. The paradox of the knower without epistemic closure.Charles B. Cross - 2001 - Mind 110 (438):319-333.
    In this essay I present a new version of the Paradox of the Knower and show that this new paradox vitiates a certain argument against epistemic closure. I then prove a theorem that relates the new paradox to epistemological scepticism. I conclude by assessing the use of the Knower in arguments against syntactical treatments of knowledge.
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  4. The Paradox of the Knower without Epistemic Closure -- Corrected.C. B. Cross - 2012 - Mind 121 (482):457-466.
    This essay corrects an error in the presentation of the Paradox of the Knowledge-Plus Knower, which is the variant of Kaplan and Montague’s Knower Paradox presented in C. Cross 2001: ‘The Paradox of the Knower without Epistemic Closure,’ MIND, 110, pp. 319–33. The correction adds a universally quantified transitivity principle for derivability as an additional assumption leading to paradox. This correction does not affect the status of the Knowledge-Plus paradox as a rebuttal (...)
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  5. The paradox of the knower without epistemic closure?Gabriel Uzquiano - 2004 - Mind 113 (449):95-107.
  6. Operators in the paradox of the knower.Patrick Grim - 1993 - Synthese 94 (3):409 - 428.
    Predicates are term-to-sentence devices, and operators are sentence-to-sentence devices. What Kaplan and Montague's Paradox of the Knower demonstrates is that necessity and other modalities cannot be treated as predicates, consistent with arithmetic; they must be treated as operators instead. Such is the current wisdom.A number of previous pieces have challenged such a view by showing that a predicative treatment of modalities neednot raise the Paradox of the Knower. This paper attempts to challenge the current wisdom in (...)
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  7.  67
    The paradox of the knower.Fred Feldman - 1989 - Philosophical Studies 55 (1):93 - 100.
  8.  96
    More on the paradox of the knower without epistemic closure.Charles B. Cross - 2004 - Mind 113 (449):109-114.
    In “The Paradox of the Knower without Epistemic Closure”, MIND 110:319-33, 2001, I develop a version of the Knower Paradox which does not assume epistemic closure, and I use it to argue that the original Knower Paradox does not support an argument against epistemic closure. In “The Paradox of the Knower without Epistemic Closure?”, MIND 113:95-107, 2004, Gabriel Uzquiano, using his own result, argues that my rebuttal to the anti-closure argument is not (...)
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  9. The knower paradox in the light of provability interpretations of modal logic.Paul Égré - 2004 - Journal of Logic, Language and Information 14 (1):13-48.
    This paper propounds a systematic examination of the link between the Knower Paradox and provability interpretations of modal logic. The aim of the paper is threefold: to give a streamlined presentation of the Knower Paradox and related results; to clarify the notion of a syntactical treatment of modalities; finally, to discuss the kind of solution that modal provability logic provides to the Paradox. I discuss the respective strength of different versions of the Knower (...), both in the framework of first-order arithmetic and in that of modal logic with fixed point operators. It is shown that the notion of a syntactical treatment of modalities is ambiguous between a self-referential treatment and a metalinguistic treatment of modalities, and that these two notions are independent. I survey and compare the provability interpretations of modality respectively given by Skyrms, B. (1978, The Journal of Philosophy 75: 368–387) Anderson, C.A. (1983, The Journal of Philosophy 80: 338–355) and Solovay, R. (1976, Israel Journal of Mathematics 25: 287–304). I examine how these interpretations enable us to bypass the limitations imposed by the Knower Paradox while preserving the laws of classical logic, each time by appeal to a distinct form of hierarchy. (shrink)
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  10.  53
    The Knower's Paradox and Representational Theories of Attitudes.William J. Rapaport, Nicholas M. Asher & Johan A. W. Kamp - 1988 - Journal of Symbolic Logic 53 (2):666.
  11. Solutions to the Knower Paradox in the Light of Haack’s Criteria.Mirjam de Vos, Rineke Verbrugge & Barteld Kooi - 2023 - Journal of Philosophical Logic 52 (4):1101-1132.
    The knower paradox states that the statement ‘We know that this statement is false’ leads to inconsistency. This article presents a fresh look at this paradox and some well-known solutions from the literature. Paul Égré discusses three possible solutions that modal provability logic provides for the paradox by surveying and comparing three different provability interpretations of modality, originally described by Skyrms, Anderson, and Solovay. In this article, some background is explained to clarify Égré’s solutions, all three (...)
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  12. The knower paradox and epistemic closure.Stephen Maitzen - 1998 - Synthese 114 (2):337-354.
    The Knower Paradox has had a brief but eventful history, and principles of epistemic closure (which say that a subject automatically knows any proposition she knows to be materially implied, or logically entailed, by a proposition she already knows) have been the subject of tremendous debate in epistemic logic and epistemology more generally, especially because the fate of standard arguments for and against skepticism seems to turn on the fate of closure. As far as I can tell, however, (...)
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  13.  43
    Fitch’s Paradox of Knowability and the Knower Paradox: Against a Proposed Dialetheist Unified Solution.Ricardo Santos - 2017 - Revista Portuguesa de Filosofia 73 (3-4):1001-1020.
    After introducing Fitch’s paradox of knowability and the knower paradox, the paper critically discusses the dialetheist unified solution to both problems that Beall and Priest have proposed. It is first argued that the dialetheist approach to the knower paradox can withstand the main objections against it, these being that the approach entails an understanding of negation that is intolerably weak and that it commits dialetheists to jointly accept and reject the same thing. The lesson of (...)
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  14.  47
    The knower paradox revisited.Byeong D. Lee - 2000 - Philosophical Studies 98 (2):221-232.
    The article states that the Knower paradox exposes the circularity of the conceptualization of knowledge. The article provides an explanation of the Knower paradox for the purpose of demonstrating how the paradox arises. A modification to the concept of knowledge is presented to solve the paradox and structure knowledge.
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  15. Paradoks znawcy (The Knower Paradox).Zbigniew Tworak - 2011 - Filozofia Nauki 19 (3).
    The Knower Paradox is an element of the class of paradoxes of self-reference. It demonstrates that any theory Ó which (1) extends Robinson arithmetic Q, (2) includes a unary knowledge predicate K, and (3) contains certain elementary epistemic principles involving K is inconsistent. In this paper I present different versions of the Knower Paradox (both in the framework of the first-order arithmetic and in the modal logic). There are several solutions of the paradox. Some of (...)
     
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  16. The paradox of perspectivism.Bernard Reginster - 2001 - Philosophy and Phenomenological Research 62 (1):217-233.
    The last twenty years of English-speaking Nietzsche scholarship have been dominated by the paradox of perspectivism. Perspectivism is the view that any claim to knowledge is bound to the perspective formed by the contingent “interests” of the knower. Nearly all existing interpretations fall within one of two categories. On the one hand, this relativity to perspective is thought to underwrite a generalized skepticism: we are irretrievably locked up in a perspective which may distort our apprehension of reality. On (...)
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  17.  12
    Three Different Solutions to the Knower Paradox.Francesca Poggiolesi - 2007 - Annali Del Dipartimento di Filosofia 13:147-164.
    In this paper I shall present three solutions to the Knower Paradox which, despite important points in common, differ in several respects. The first solution, proposed by C. A. Anderson [1] is a hierarchical solution, developed in the framework of first-order arithmetic. However I will try toshow that this solution is based on an incorrect argument. The second solution, inspired by a book of R.M. Smullyan [14], is developed in the framework of modal logic and it is based (...)
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  18. Fitch's proof, verificationism, and the knower paradox.J. C. Beall - 2000 - Australasian Journal of Philosophy 78 (2):241 – 247.
    I have argued that without an adequate solution to the knower paradox Fitch's Proof is- or at least ought to be-ineffective against verificationism. Of course, in order to follow my suggestion verificationists must maintain that there is currently no adequate solution to the knower paradox, and that the paradox continues to provide prima facie evidence of inconsistent knowledge. By my lights, any glimpse at the literature on paradoxes offers strong support for the first thesis, and (...)
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  19. Truth, omniscience, and the knower.Patrick Grim - 1988 - Philosophical Studies 54 (1):9 - 41.
    Let us sum up. The paradox of the Knower poses a direct and formal challenge to the coherence of common notions of knowledge and truth. We've considered a number of ways one might try to meet that challenge: propositional views of truth and knowledge, redundancy or operator views, and appeal to hierarchy of various sorts. Mere appeal to propositions or operators, however, seems to be inadequate to the task of the Knower, at least if unsupplemented by an (...)
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  20.  45
    The paradox of belief instability and a revision theory of belief.Byeong D. Lee - 1998 - Pacific Philosophical Quarterly 79 (4):314-328.
    The epistemic paradox of 'belief instability' has recently received notable attention from many philosophers. Understanding this paradox is very important because belief is a central notion of psychologically motivated semantic theories in philosophy, linguistics, and cognitive science, and this paradox poses serious problems for these theories. In this dissertation I criticize previous proposals and offer a new proposal, which I call a 'revision theory of belief'. ;My revision theory of belief is in many respects an application of (...)
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  21.  13
    The paradox of belief instability and a revision theory of belief.Byeong D. Lee - 1998 - Dissertation, Indiana University, Bloomington
    The epistemic paradox of 'belief instability' has recently received notable attention from many philosophers. Understanding this paradox is very important because belief is a central notion of psychologically motivated semantic theories in philosophy, linguistics, and cognitive science, and this paradox poses serious problems for these theories. In this dissertation I criticize previous proposals and offer a new proposal, which I call a 'revision theory of belief'. -/- My revision theory of belief is in many respects an application (...)
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  22.  9
    The Paradox of Perspectivism. [REVIEW]Bernard Reginster - 2001 - Philosophy and Phenomenological Research 62 (1):217-233.
    The last twenty years of English-speaking Nietzsche scholarship have been dominated by the paradox of perspectivism. Perspectivism is the view that any claim to knowledge is bound to the perspective formed by the contingent “interests” of the knower. Nearly all existing interpretations fall within one of two categories. On the one hand, this relativity to perspective is thought to underwrite a generalized skepticism: we are irretrievably locked up in a perspective which may distort our apprehension of reality. On (...)
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  23.  60
    Two Fallacies in Proofs of the Liar Paradox.Peter Eldridge-Smith - 2020 - Philosophia 48 (3):947-966.
    At some step in proving the Liar Paradox in natural language, a sentence is derived that seems overdetermined with respect to its semantic value. This is complemented by Tarski’s Theorem that a formal language cannot consistently contain a naive truth predicate given the laws of logic used in proving the Liar paradox. I argue that proofs of the Eubulidean Liar either use a principle of truth with non-canonical names in a fallacious way or make a fallacious use of (...)
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  24.  52
    Nicholas M. Asher and Johan A. W. Kamp. The knower's paradox and representational theories of attitudes. Theoretical aspects of reasoning about knowledge, Proceedings of the 1986 conference, edited by Joseph Y. Halpern, Morgan Kaufmann Publishers, Los Altos1986, pp. 131–147. [REVIEW]William J. Rapaport - 1988 - Journal of Symbolic Logic 53 (2):666.
  25. Knowledge-of-own-factivity, the definition of surprise, and a solution to the Surprise Examination paradox.Alessandro Aldini, Samuel Allen Alexander & Pierluigi Graziani - 2022 - Cifma.
    Fitch's Paradox and the Paradox of the Knower both make use of the Factivity Principle. The latter also makes use of a second principle, namely the Knowledge-of-Factivity Principle. Both the principle of factivity and the knowledge thereof have been the subject of various discussions, often in conjunction with a third principle known as Closure. In this paper, we examine the well-known Surprise Examination paradox considering both the principles on which this paradox rests and some formal (...)
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  26. A Justly Neglected Solution To The Knower Paradox?Fredrik Stjernberg - 2005 - The Baltic International Yearbook of Cognition, Logic and Communication 1.
     
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  27.  7
    The outer limits of reason: what science, mathematics, and logic cannot tell us.Noson S. Yanofsky - 2013 - Cambridge, Massachusetts: The MIT Press.
    Many books explain what is known about the universe. This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own thought processes. Yanofsky describes (...)
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  28. The principle of uniform solution (of the paradoxes of self-reference).Nicholas J. J. Smith - 2000 - Mind 109 (433):117-122.
    Graham Priest (1994) has argued that the following paradoxes all have the same structure: Russell’s Paradox, Burali-Forti’s Paradox, Mirimanoff’s Paradox, König’s Paradox, Berry’s Paradox, Richard’s Paradox, the Liar and Liar Chain Paradoxes, the Knower and Knower Chain Paradoxes, and the Heterological Paradox. Their common structure is given by Russell’s Schema: there is a property φ and function δ such that..
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  29. 1. Zeno's Metrical Paradox. The version of Zeno's argument that points to possible trouble in measure theory may be stated as follows: 1. Composition. A line segment is an aggregate of points. 2. Point-length. Each point has length 0. 3. Summation. The sum of a (possibly infinite) collection of 0's is. [REVIEW]Zeno'S. Metrical Paradox Revisited - 1988 - Philosophy of Science 55:58-73.
     
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  30.  48
    The dove that returns, the dove that vanishes: paradox and creativity in psychoanalysis.Michael Parsons - 2000 - Philadelphia: Routledge.
    The nature of psychoanalysis seems contradictory - deeply personal, subjective and intuitive, yet requiring systematic theory and principles of technique. The objective quality of psychoanalytic knowledge is paradoxically dependent on the personal engagement of the knower with what is known. In The Dove that Returns, The Dove that Vanishes , Michael Parsons explores the tension of this paradox. As they respond to it, and struggle to sustain it creatively, analysts discover their individual identities. The work of outstanding clinicians (...)
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  31.  9
    " To be an object" means" to have properties." Thus, any object has at least one property. A good formalization of this simple conclusion is a thesis of second-order logic:(1) Vx3P (Px) This formalization is based on two assumptions:(a) object variables. [REVIEW]Russell'S. Paradox - 2006 - In J. Jadacki & J. Pasniczek (eds.), The Lvov-Warsaw School: The New Generation. Reidel. pp. 6--129.
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  32.  20
    Paradoxes of the infinite.Bernard Bolzano - 1950 - London,: Routledge and Kegan Paul.
    Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19 th century: Dr Bernard Bolzano’s Paradoxien . This volume contains an adept translation of the work itself by Donald A. Steele S.J., and in addition an historical introduction, which includes a brief biography as well as an evaluation of Bolzano the mathematician, logician and physicist.
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  33. The Paradox of the First Person.Francois Recanati - 1995 - In Daniel Andler (ed.), Facets of rationality. Thousand Oaks: Sage Publications. pp. 300-311.
  34.  11
    Paradoxes of the Infinite.Bernard Bolzano - 1950 - London, England: Routledge.
    _Paradoxes of the Infinite_ presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19 th century: Dr Bernard Bolzano’s _Paradoxien_. This volume contains an adept translation of the work itself by Donald A. Steele S.J., and in addition an historical introduction, which includes a brief biography as well as an evaluation of Bolzano the mathematician, logician and physicist.
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  35.  9
    Paradoxes of the Infinite.Bernard Bolzano - 1950 - London, England: Routledge.
    _Paradoxes of the Infinite_ presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19 th century: Dr Bernard Bolzano’s _Paradoxien_. This volume contains an adept translation of the work itself by Donald A. Steele S.J., and in addition an historical introduction to the masterpiece, which includes a brief biography as well as an evaluation of Bolzano the mathematician, logician and physicist.
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  36.  55
    The paradoxes of the symptom in psychoanalysis.Colette Soler - 2003 - In Jean-Michel Rabaté (ed.), The Cambridge companion to Lacan. New York: Cambridge University Press. pp. 86.
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  37. The 1952 Allais theory of choice involving risk.of Choice Involving Risk - 1979 - In Maurice Allais & Ole Hagen (eds.), Expected Utility Hypotheses and the Allais Paradox. D. Reidel. pp. 25.
  38.  26
    The Paradox of the Future: Is it Rational to Feel Emotions for Future Generations?Carola Barbero - 2024 - Topoi 43 (1):75-84.
    According to some, there is a problem concerning the emotions we feel toward fictional entities such as Anna Karenina, Werther and the like. We feel pity, fear, and sadness toward them, but how is that possible? “We are saddened, but how can we be? What are we sad about? How can we feel genuinely and involuntarily sad, and weep, as we do know that no one has suffered or died?” (Radford, in: Proceedings of the Aristotelian Society, 1975). This is the (...)
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  39.  9
    The Paradox of the Stack. Johnson - 1973 - Southwestern Journal of Philosophy 4 (1):67-72.
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  40.  6
    Itinerary of the Knower : Mapping the ways of gnosis, Sophia, and imaginative education.Antonina Lukenchuk - 2012 - In Michael A. Peters & Inna Semetsky (eds.), Jung and Educational Theory. Chichester, UK: Wiley. pp. 35–46.
    This chapter contains sections titled: ‘The Breath of Possibility’: Imaginative Education and Jungian Motifs Gnostic Jung and Esoteric Iterations In Search of Sophia : TheWay of the Lost Goddess Conclusions References.
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  41.  21
    Itinerary of the Knower: Mapping the ways of gnosis, Sophia, and imaginative education.Joshua A. Ramey, Peter T. Dunlap, Raya A. Jones & Antonina Lukenchuk - 2012 - Educational Philosophy and Theory 44 (1):41-52.
    My conversion into a knower has been a long and winding road. From childhood reverie to the years of formal schooling, education has never ceased to lure me into its magical power. How do we really get to know/see/learn whatever happens on our educational journey? In this paper, I will re‐trace my quest for knowledge that reaches beyond the boundaries of traditional epistemology. My wonderings will take me to explore, via Jung, the possibilities of imaginative education through Gnosis and (...)
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  42.  27
    The paradox of the Aged Care Act 1997: the marginalisation of nursing discourse.Jocelyn Angus & Rhonda Nay - 2003 - Nursing Inquiry 10 (2):130-138.
    The paradox of the Aged Care Act 1997: the marginalisation of nursing discourse This paper examines the marginalisation of nursing discourse, which followed the enactment of the Aged Care Act 1997. This neo‐reform period in aged care, dominated by theories of economic rationalism, enshrined legislation based upon market principles and by implication, the provision of care at the cheapest possible price. This paper exposes some of the gaps in the neo‐reform period and challenges the assertion that the amalgamation of (...)
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  43. The paradox of the artificial intelligence system development process: the use case of corporate wellness programs using smart wearables.Alessandra Angelucci, Ziyue Li, Niya Stoimenova & Stefano Canali - forthcoming - AI and Society:1-11.
    Artificial intelligence systems have been widely applied to various contexts, including high-stake decision processes in healthcare, banking, and judicial systems. Some developed AI models fail to offer a fair output for specific minority groups, sparking comprehensive discussions about AI fairness. We argue that the development of AI systems is marked by a central paradox: the less participation one stakeholder has within the AI system’s life cycle, the more influence they have over the way the system will function. This means (...)
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  44.  33
    The paradox of the origin of political power in Rousseau.Ligia Pavan Baptista - 2015 - Trans/Form/Ação 38 (s1):111-120.
    RESUMO:O presente artigo pretende abordar a forma original com a qual Rousseau focaliza a questão da origem do poder político, tema que é central na teoria política moderna. Em sua obra Do Contrato Social, o autor examina as razões, aparentemente paradoxais, pelas quais alguém, nascido livre, se escravizaria voluntariamente, obedecendo a outro e não a si próprio. Distanciando-se da influência de Hobbes e Locke, o autor apresenta a tese do contrato social, fundado no conceito de vontade geral, como o único (...)
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  45. "My Place in the Sun": Reflections on the Thought of Emmanuel Levinas.Committee of Public Safety - 1996 - Diacritics 26 (1):3-10.
    In lieu of an abstract, here is a brief excerpt of the content:Martin Heidegger and OntologyEmmanuel Levinas (bio)The prestige of Martin Heidegger 1 and the influence of his thought on German philosophy marks both a new phase and one of the high points of the phenomenological movement. Caught unawares, the traditional establishment is obliged to clarify its position on this new teaching which casts a spell over youth and which, overstepping the bounds of permissibility, is already in vogue. For once, (...)
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  46. The paradox of the preface.David C. Makinson - 1965 - Analysis 25 (6):205-207.
    By means of an example, shows the possibility of beliefs that are separately rational whilst together inconsistent.
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  47.  11
    The paradox of the reopening of schools under the lockdown – An exposure of the continued inequalities within the South African educational sector: A theological decolonial view.Magezi E. Baloyi - 2021 - HTS Theological Studies 77 (4):1-10.
    The arrival of coronavirus disease 2019 in South Africa was responded to by a lockdown, which barred people from moving out of their homes unless for serious and stipulated reasons by government. Amongst other things, one of the most remarkable repercussions of the lockdown was the closing of the educational system. The call to reopen the public schools by the Minister of Basic Education after almost 2 months brought contestations from different sects of life, for instance, labour unions, parents and (...)
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  48.  42
    Itinerary of the Knower: Mapping the ways of gnosis, Sophia, and imaginative education.Antonina Lukenchuk - 2012 - Educational Philosophy and Theory 44 (1):41-52.
    My conversion into a knower has been a long and winding road. From childhood reverie to the years of formal schooling, education has never ceased to lure me into its magical power. How do we really get to know/see/learn whatever happens on our educational journey? In this paper, I will re-trace my quest for knowledge that reaches beyond the boundaries of traditional epistemology. My wonderings will take me to explore, via Jung, the possibilities of imaginative education through Gnosis and (...)
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  49.  87
    ``The Paradox of the Preface".D. C. Makinson - 1964 - Analysis 25 (6):205-207.
  50.  15
    Paradoxes of the Notion of Antedating: A Philosophical Critique to Libets Theory of the Relationships Between Neural Activity and Awareness of Sensory Stimuli.Franco Chiereghin - 2011 - Journal of Consciousness Studies 18 (3-4):3-4.
    Among Benjamin Libet's experiments on the relationship between consciousness and neural activity, those pointing at a substantive difference between subjective timing of a sensory experience and the experimental measure of the time needed to produce that experience appear particularly interesting. From a subjective standpoint, one is immediately conscious of a sensory experience, whereas, as a result of objective measured time of reaction, unconscious neural activation in the presence of a sensory stimulus begins 500 msec before one being aware of the (...)
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