Results for 'Pi-Ru Tsai'

702 found
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  1. Sociosemiotics of M. Foucault: the phenomenal horizon of designing the discursive space of socio-political reality. Discourse-Pi. 2015, 1(18), 80-89.Anna Shutaleva - 2015 - Discourse-Pi 1 (18):80-89.
    This article is devoted to the analysis of the socio-semiotic theory of M.Foucault, which allows clarifying the phenomenal horizon in the socio-political space. Social semiotics is viewed as a grammar of a separate sign system that describes the area of a specific communicative phenomenon controlled by a system of meanings. Power, using semiotic techniques, marking space, creates a disciplined body, a disciplined person, and a disciplined consciousness. The means of coercion reveal those on whom they influence but also manifest the (...)
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  2. Generalizing and Normalizing Quine's Epistemology.Cheng-Hung Tsai - 2002 - Philosophical Writings 19:3-21.
    The aim of this paper is twofold: First, to generalize Quine's epistemology, to show that what Quine refutes for traditional epistemology is not only Cartesian foundationalism and Carnapian reductionism, but also any epistemological program if it takes atomic verificationist semantics or supernaturalism, which are rooted in the linguistic/factual distinction of individual sentences, as its underlying system. Thus, we will see that the range of naturalization in the Quinean sense is not as narrow as his critics think. Second, to normalize Quine's (...)
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  3. Practical Wisdom, Well‐Being, and Success.Cheng-Hung Tsai - 2021 - Wiley: Philosophy and Phenomenological Research 104 (3):606-622.
    Philosophy and Phenomenological Research, Volume 104, Issue 3, Page 606-622, May 2022.
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  4. Paternalism and intimate relationships.George Tsai - 2018 - In Kalle Grill & Jason Hanna (eds.), The Routledge Handbook of the Philosophy of Paternalism. New York: Routledge.
    This paper argues that participation in an intimate relationship can generate additional or stronger reasons for one to act paternalistically toward the intimate. Moreover, participation in such a relationship can also weaken or cancel some of the presumptive reasons of respect one would otherwise have not to interfere. The paper also reflects, more generally, on the nature of intimate relationships, the normative significance of paternalism, and the normative differences between paternalism in larger-scale institutional contexts and paternalism in closer, interpersonal ones. (...)
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  5. The Morality of State Symbolic Power.George Tsai - 2016 - Social Theory and Practice 42 (2):318-342.
    Philosophical interest in state power has tended to focus on the state’s coercive powers rather than its expressive powers. I consider an underexplored aspect of the state’s expressive capacity: its capacity to use symbols (such as monuments, memorials, and street names) to promote political ends. In particular, I argue that the liberal state’s deployment of symbols to promote its members’ commitment to liberal ideals is in need of special justification. This is because the state’s exercise of its capacity to use (...)
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  6. Why AI May Undermine Phronesis and What to Do about It.Cheng-Hung Tsai & Hsiu-lin Ku - forthcoming - AI and Ethics.
    Phronesis, or practical wisdom, is a capacity the possession of which enables one to make good practical judgments and thus fulfill the distinctive function of human beings. Nir Eisikovits and Dan Feldman convincingly argue that this capacity may be undermined by statistical machine-learning-based AI. The critic questions: why should we worry that AI undermines phronesis? Why can’t we epistemically defer to AI, especially when it is superintelligent? Eisikovits and Feldman acknowledge such objection but do not consider it seriously. In this (...)
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  7. Beyond Intuitive Know-How.Cheng-Hung Tsai - 2022 - Phenomenology and the Cognitive Sciences:1-14.
    According to Dreyfusian anti-intellectualism, know-how or expertise cannot be explained in terms of know-that and its cognates but only in terms of intuition. Hubert Dreyfus and Stuart Dreyfus do not exclude know-that and its cognates in explaining skilled action. However, they think that know-that and its cognates (such as calculative deliberation and perspectival deliberation) only operate either below or above the level of expertise. In agreement with some critics of Dreyfus and Dreyfus, in this paper, I argue that know-that and (...)
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  8. The Virtue of Being Supportive.George Tsai - 2016 - Pacific Philosophical Quarterly 99 (2):317-342.
    I develop an account of the nature and value of being supportive in interpersonal relationships. In particular, I argue that the virtue of being supportive, construed as a modally demanding value, facilitates the autonomy of one's intimate and promotes a sense of unity in one's relationship. Moreover, the practice of being supportive plays an important role with regard to the familiar need to reconcile the normative demands of one's own projects with one's responsibilities to intimates.
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  9. Wisdom as Knowing How to Live Well: An Epistemological Exploration.Cheng-Hung Tsai - 2023 - Soochow Journal of Philosophical Studies 47:33-64.
    What is the nature and structure of phronesis or practical wisdom? According to the view widely held by philosophers and psychologists, a person S is wise if and only if S knows how to live well. Given this view of practical wisdom, the guiding question is this: What exactly is “knowing how to live well”? It seems that no one has a clear idea of how to answer this simple but fundamental question. This paper explores knowing how to live well (...)
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  10. Respect and the Efficacy of Blame.George Tsai - 2017 - In David Shoemaker (ed.), Oxford Studies in Agency and Responsibility Volume 4. Oxford University Press.
    This paper examines the role of respect (specifically, the interest in having the respect of other people) in enabling blame to be effective: i.e., to achieve the desired effect of changing the blamed’s attitude and behavior. It develops an account of blame’s operations in three different cases: standard, intermediate, and proleptic. It ends by raising the worry that effective blame toward the morally distant approximates manipulation and coercion, leaving a moral residue.
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  11. Technê and Understanding.Cheng-Hung Tsai - 2014 - National Taiwan University Philosophical Review 47:39-60.
    How can we acquire understanding? Linda Zagzebski has long claimed that understanding is acquired through, or arises from, mastering a particular practical technê. In this paper, I explicate Zagzebski’s claim and argue that the claim is problematic. Based on a critical examination of Zagzebski’s claim, I propose, in conclusion and in brief, a new claim regarding the acquisition of understanding.
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  12. Supporting intimates on faith.George Tsai - 2017 - International Journal for Philosophy of Religion 81 (1-2):99-112.
    What is the role of faith in the familiar practice of supporting intimates in their personal projects? Is there anything distinctly valuable about such faith-based support? I argue that the virtue of being supportive, a characteristic of the good friend or lover, involves a distinctive kind of faith: faith in another persons’ chosen self-expressive pursuit. Support based on such faith enables the supported party to enjoy a more meaningful and autonomous exercise of agency in self-expressive arenas, and engenders a sense (...)
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  13. Logic for the Field of Battle.Cheng-Chih Tsai - 2024 - Teaching Philosophy 47 (1):69-93.
    The truth table method, natural deduction, and the truth tree method, the three validity proving methods standardly taught in an introductory logic course, are too clumsy for the battlefield of real-life. The “short truth table” test is handy at times, but it stumbles at many other times. In this paper, we set up a general method that can beat all the methods mentioned above in a contest of speed. Furthermore, the procedure can be step-by-step paraphrased in a natural language, so (...)
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  14. Franklin Perkins, Doing What You Really Want: An Introduction to the Philosophy of Mengzi.George Tsai - 2023 - Journal of Moral Philosophy 20 (1-2):198-201.
    Critical reflections on Franklin Perkins' Doing What You Really Want: An Introduction to the Philosophy of Mengzi. Raises some questions related to two main themes in the book: (1) Mengzi’s conception of human nature, and (2) Mengzi’s view of harmony and conflict in human life.
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  15. Habit: A Rylean Conception.Cheng-Hung Tsai - 2022 - Philosophies 7 (2):45.
    Tennis champion Maria Sharapova has a habit of grunting when she plays on the court. Assume that she also has a habit of hitting the ball in a certain way in a certain situation. The habit of on-court grunting might be bad, but can the habit of hitting the ball in a certain way in a certain situation be classified as intelligent? The fundamental questions here are as follows: What is habit? What is the relation between habit and skill? Is (...)
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  16. Exploitation and Friendship.George Tsai - 2022 - In Diane Jeske (ed.), Routledge Handbook of the Philosophy of Friendship. New York, NY: Routledge.
    This paper examines the nature of friendship and the nature of exploitation, and the intersection of the two phenomena. It argues that because vulnerability is an essential aspect of friendship, the possibility of exploitation is ineliminable in friendship. Considers how we might, nonetheless, reduce our exposure to unfair treatment in friendships.
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  17. The Arbitrariness Objection Against Permissivism.Ru Ye - 2019 - Episteme (4):654-673.
    The debate between Uniqueness and Permissivism concerns whether a body of evidence sometimes allows multiple doxastic attitudes towards a proposition. An important motivation for Uniqueness is the so-called ‘arbitrariness argument,’ which says that Permissivism leads to some unacceptable arbitrariness with regard to one's beliefs. An influential response to the argument says that the arbitrariness in beliefs can be avoided by invoking epistemic standards. In this paper, I argue that such a response to the arbitrariness argument is unsuccessful. Then I defend (...)
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  18. A Virtue Semantics.Cheng-Hung Tsai - 2008 - South African Journal of Philosophy 27 (1):27-39.
    In this paper, I propose a virtue-theoretic approach to semantics, according to which the study of linguistic competence in particular, and the study of meaning and language in general, should focus on a speaker's interpretative virtues, such as charity and interpretability, rather than the speaker's knowledge of rules. The first part of the paper proffers an argument for shifting to virtue semantics, and the second part outlines the nature of such virtue semantics.
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  19. Xunzi and Virtue Epistemology.Cheng-Hung Tsai - 2014 - Universitas: Monthly Review of Philosophy and Culture 41 (3):121-142.
    Regulative virtue epistemology argues that intellectual virtues can adjust and guide one’s epistemic actions as well as improve on the quality of the epistemic actions. For regulative virtue epistemologists, intellectual virtues can be cultivated to a higher degree; when the quality of intellectual virtue is better, the resulting quality of epistemic action is better. The intellectual virtues that regulative epistemologists talk about are character virtues (such as intellectual courage and open-mindedness) rather than faculty virtues (such as sight and hearing), since (...)
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  20. Anticipating Global Justice: Confucianism and Mohism in Classical China.George Tsai - 2019 - In Jun-Hyeok Kwak & Hugo El-Kholi (eds.), Global Justice in East Asia. Routledge.
    This paper argues that debates between the Confucians and Mohists in Classical China anticipate contemporary discussions in political philosophy. Specifically, their debates about our responsibilities to other people are akin to debates between Rawlsans, Cosmopolitans, and Utilitarians about the content of our political obligations to other people, and about the proper scope of application of norms of justice.
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  21. The Ethics of Killing, an Amoral Enquiry.Cheng-Chih Tsai - 2015 - Applied Ethics Review 59:25-49.
    In ‘What Makes Killing Wrong?’ Sinnott-Armstrong and Miller make the bold claim that killing in itself is not wrong, what is wrong is totally-disabling. In ‘After-Birth Abortion: Why Should the Baby Live?’ Giubilini and Minerva argue for allowing infanticide. Both papers challenge the stigma commonly associated with killing, and emphasize that killing is not wrong at some margins of life. In this paper, we first generalize the above claims to the thesis that there is nothing morally wrong with killing per (...)
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  22. Conversational Disgust and Social Oppression.George Tsai - 2021 - Journal of Chinese Philosophy 48 (1):89-104.
    In recent years, philosophers have begun to uncover the role played by verbal conduct in generating oppressive social structures. I examine the oppressive illocutionary uses, and perlocutionary effects, of expressives: speech acts that are not truth-apt, merely expressing attitudes, such as desires, preferences, and emotions. Focusing on expressions of disgust in conversation, I argue for two claims: that expressions of disgust can activate in the local, conversational context the oppressive power of the underlying structures of oppression; that conversational expressions of (...)
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  23. Can Knowing-How Skepticism Exist?Cheng-Hung Tsai - 2006 - Electronic Journal of Analytic Philosophy.
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  24. Lamentable Necessities.George Tsai - 2013 - Review of Metaphysics 66 (4):775-808.
    Slavery in Ancient Greece, Absolutist Monarchy in pre-modern Europe, and the European conquest of the New World strike us, from our contemporary perspective, as injustices on a massive scale. But given the impact of these large-scale historical activities on the particular course taken by Western history, they almost undeniably played an important role in the evolution of modern liberalism. Bernard Williams suggests a startling claim—that liberal universalists cannot condemn past injustices, because those injustices were necessary conditions of the development of (...)
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  25. Agent and Deed in Confucian Thought.George Tsai - 2019 - Philosophy East and West 69 (2):495-514.
    Based on key passages in The Analects, I develop a Confucian account of agency: more precisely, an account of the relation between agent and deed (action). The Confucian view is contrasted with "standard" causal accounts of action (e.g., Davidson, Searle), which hold that what makes an event an action is that it is intended. According to the Confucian account, the defining mark of action is not the causal involvement of a (prior) intention, but instead the expressive relation between agent and (...)
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  26. An Error Theory for Liberal Universalism.George Tsai - 2012 - Journal of Political Philosophy 21 (3):305-325.
    This paper examines Bernard Williams’ challenge to liberal universalists (liberals “who assume their morality is universally applicable to everyone”) to provide a theory of error: “a story about the subject matter of political morality and about past people’s situation which explains why those people got it wrong about the subject matter.” It develops a theory of error that appeals to socio-historical conditions of the past to explain their role in making (1) liberal values and reasons epistemically inaccessible, and (2) motivations (...)
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  27. Exploring Metaethical Commitments: Moral Objectivity and Moral Progress.Kevin Uttich, George Tsai & Tania Lombrozo - 2014 - In Hagop Sarkissian & Jennifer Cole Wright (eds.), Advances in Experimental Moral Psychology. New York: Bloomsbury Academic. pp. 188-208.
    Presents the results of our study comparing two different approaches (those of Goodwin and Darley 2008, and Sarkissian et al. 2011) to empirically measuring people's belief in moral objectivity. Examines the relationship between belief in moral objectivity and two other metaethical attitudes: belief in moral progress and belief in a just world.
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  28. Permissivism, the value of rationality, and a convergence‐theoretic epistemology.Ru Ye - 2021 - Philosophy and Phenomenological Research 106 (1):157-175.
    Philosophy and Phenomenological Research, EarlyView.
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  29. A Scientometric Approach to the Integrated History and Philosophy of Science: Entrenched Biomedical Standardisation and Citation-Exemplar.Karen Yan, Meng-Li Tsai & Tsung-Ren Huang - 2023 - International Studies in the Philosophy of Science 36 (2):143-165.
    1. Biomedical sciences are fast-growing fields with unprecedented speed of research outputs, especially in the quantities of papers. Philosophers aiming to study ongoing biomedical changes face cha...
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  30. The Value of Evidence in Decision-Making.Ru Ye - forthcoming - Journal of Philosophy.
    The Value of Evidence thesis (VE) tells us to gather evidence before deciding in any decision problem, if the evidence is free. This appar- ently plausible principle faces two problems. First, it fails on evidence externalism or nonclassical decision theories. Second, it’s not general enough: it tells us to prefer gaining free evidence to gaining no evi- dence, but it doesn’t tell us to prefer gaining more informative evidence to gaining less informative evidence when both are free. This paper defends (...)
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  31. A Doxastic-Causal Theory of Epistemic Basing.Ru Ye - 2019 - In Joseph Adam Carter & Patrick Bondy (eds.), Well Founded Belief: New Essays on the Epistemic Basing Relation. New York: Routledge. pp. 15–33.
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  32. Misleading Evidence and the Dogmatism Puzzle.Ru Ye - 2016 - Australasian Journal of Philosophy 94 (3):563-575.
    ABSTRACTAccording to the Dogmatism Puzzle presented by Gilbert Harman, knowledge induces dogmatism because, if one knows that p, one knows that any evidence against p is misleading and therefore one can ignore it when gaining the evidence in the future. I try to offer a new solution to the puzzle by explaining why the principle is false that evidence known to be misleading can be ignored. I argue that knowing that some evidence is misleading doesn't always damage the credential of (...)
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  33. Knowledge-Action Principles and Threshold-Impurism.Ru Ye - 2024 - Erkenntnis 89 (6):2215-2232.
    Impurism says that practical factors encroach on knowledge. An important version of impurism is called ‘Threshold-Impurism,’ which says that practical factors encroach on the threshold that rational credence must pass in order for one to have knowledge. A prominent kind of argument for Threshold-Impurism is the so-called ‘principle-based argument,’ which relies on a principle of fallibilism and a knowledge-action principle. This paper offers a new challenge against Threshold-Impurism. I attempt to show that the two principles Threshold-Impurists are committed to—KJ and (...)
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  34. Обзор метафилософии Витгенштейна (Wittgenstein's Metaphilosophy) by Paul Horwich 248p (2013) (обзор пересмотрен 2019).Michael Richard Starks - 2020 - In ДОБРО ПОЖАЛОВАТЬ В АД НА НАШЕМ МИРЕ. Las Vegas, NV USA: Reality Press. pp. 52-75.
    Хорвич дает прекрасный анализ Витгенштейна (W) и является ведущим ученым W, но, на мойвзгляд, все они не дотягивают до полной оценки, как я подробно объяснить в этом обзоре и многие другие. Если одно не понимает W (и предпочтительно Searle также) после этого я не вижу как одно смогло иметь больше чем поверхностное вникание общего соображения и мысли более высокого заказа и таким образом всего сложного поведения (психология, социология, антропология, история, словесность, общество). В двух словах, W продемонстрировал, что, когда вы показали, (...)
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  35. It Can Be Rational to Change Priors.Ru Ye - forthcoming - Analysis.
    According to a widely held norm of rationality, one should not change prior credences without new evidence. An important argument for this norm appeals to accuracy considerations, which says that changing priors doesn’t maximize expected accuracy. This is because accuracy measures are strictly proper, and thus any probabilistically coherent person regards her own priors as uniquely maximizing expected accuracy compared with other priors. -/- This paper attempts to resist the accuracy argument against changing priors. We argue that even if rational (...)
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  36. Effects of Cloud-based M-learning on Student Motivation and Creative Performance: A Case Study on Computer illustration Course.I.-Fan Tsai - unknown
    This study was conducted to explore the effects of cloud-based m- learning on students’ motivation and creative performance in computer illustration course. Variables of motivation, creative behavior, creative process and creative product were conducted to understand the situations, differences, and the predictive power cloud-based m-learning had in creative performance. A nonequivalent pretest–posttest design was adopted, and 123 university students from Taipei City, Taiwan,were recruited as research participants in the study during 10-weeks experiment. They were asked to complete a motivation questionnaire. (...)
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  37. Higher-order defeat and intellectual responsibility.Ru Ye - 2018 - Synthese 197 (12):5435-5455.
    It’s widely accepted that higher-order defeaters, i.e., evidence that one’s belief is formed in an epistemically defective way, can defeat doxastic justification. However, it’s yet unclear how exactly such kind of defeat happens. Given that many theories of doxastic justification can be understood as fitting the schema of proper basing on propositional justifiers, we might attempt to explain the defeat either by arguing that a higher-order defeater defeats propositional justification or by arguing that it defeats proper basing. It has been (...)
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  38. Fumerton's Puzzle for Theories of Rationality.Ru Ye - 2015 - Australasian Journal of Philosophy 93 (1):93-108.
    Richard Foley has presented a puzzle purporting to show that all attempts in trying to find a sufficient condition of rationality are doomed. The puzzle rests on two plausible assumptions. The first is a level-connecting principle: if one rationally believes that one's belief that p is irrational, then one's belief that p is irrational. The second is a claim about a structural feature shared by all promising sufficient conditions of rationality: for any such condition, it is possible that one's belief (...)
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  39. O Tao na Modernidade: uma hermenêutica do indivíduo pela teoria de rede inter-relacional na China.Plinio Marcos Tsai - 2020 - Dissertation, University of Campinas
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  40. How Does Hands-On Making Attitude Predict Epistemic Curiosity and Science, Technology, Engineering, and Mathematics Career Interests? Evidence From an International Exhibition of Young Inventors.Yuting Cui, Jon-Chao Hong, Chi-Ruei Tsai & Jian-Hong Ye - 2022 - Frontiers in Psychology 13:859179.
    Whether the hands-on experience of creating inventions can promote Students’ interest in pursuing a science, technology, engineering, and mathematics (STEM) career has not been extensively studied. In a quantitative study, we drew on the attitude-behavior-outcome framework to explore the correlates between hands-on making attitude, epistemic curiosities, and career interest. This study targeted students who joined the selection competition for participating in the International Exhibition of Young Inventors (IEYI) in Taiwan. The objective of the invention exhibition is to encourage young students (...)
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  41. The First Protocol Of Reaching Consensus Under Unreliable Mobile Edge Computing Paradigm.Ching ShuWang, Yan Qin, Yao Tsai Te & Shu-Ching Wang - 2019 - International Journal of Innovative Computing, Information and Control 15 (2):713 - 723.
    Mobile Edge Computing (MEC) is an emerging technology that enables computing directly at the edge of the cloud computing network. Therefore, it is important that MEC is applied with reliable transmission. The problem of reaching consensus in the distributed system is one of the most important issues in designing a reliable transmission network. However, all previous protocols for the consensus problem are not suitable for an MEC paradigm. It is the first time an optimal protocol of reaching consensus is pro- (...)
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  42. Believing without Evidence: Pragmatic Arguments for Religious Belief in Life of Pi.Alberto Oya - 2020 - In Adam T. Bogar & Rebeka Sara Szigethy (eds.), Critical Insights: Life of Pi. Ipswich, MA: Salem Press. pp. 136-147.
    The aim of this essay is to show that Yann Martel’s Life of Pi can be read as illustrating what philosophers usually name as pragmatic arguments for religious belief. Ultimately, this seems to be the reason why, in the short prologue that accompanies the novel, Martel claims Life of Pi to be “a story to make you believe in God”. To put it briefly, these arguments claim that even conceding that the question of whether to believe that God exists or (...)
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  43. The Value of Pi in the Bible (And What It Tells Us about Biblical Hermeneutics).James H. Cumming - 2023 - Dogma - Revue de Philosophie Et de Sciences Humaines 24:171–179.
    This short article provides intriguing evidence that the Bible was encoded by its original redactors. It then proposes innovative interpretations of some of the Bible's important words and stories.
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  44. Modeling and Performance Analysis of Shell Tube Surface Condenser under Lumped Parameters using Fuzzy Self-tuning PI Controller.Mustefa Jibril, Mesay Tadesse, Nurye Hassen & Yonas Abebe - 2020 - International Journal of Electronics and Electrical Engineering Systems 3 (4):1-8.
    Shell tube surface condenser (STSC) is a heat exchanger system that exchange a high pressure steam into low pressure water and it is widely used in applications like textile industries and nuclear power plants. The modelling of the system has been established based on lumped parameters. In this paper, a fuzzy expert system is developed in order to improve the performance of the condenser. A pressure feedback system has been developed to analyze the effect of the condenser output temperature, circulating (...)
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  45. Theta, Phi and Pi on the Stage of the World Theatre.Zuzana Svobodová - 2023 - Theology and Philosophy of Education 2 (1):1-3.
    It is the editorial for the first issue of the second volume of the journal Theology and Philosophy of Education. The journal’s logo is described and interpreted here in the context of the journal’s aim. All the texts of the offered issue are briefly introduced here.
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  46. A cognitive self-therapy : PI 138-97.Eugen Fischer - 2004 - In Erich Ammereller & Eugen Fisher (eds.), Wittgenstein at Work: Method in the Philosophical Investigations. New York: Routledge. pp. 86--126.
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  47.  58
    Yapay Zekâ Görüntü Üretme Modelleri ile Film Yapımı.Doga Col - 2024 - In Ali Büyükaslan & Başak Gezmen (eds.), Edebiyat, Sinema ve İletişim. İstanbul: Çizgi Kitabevi. pp. 217 -233.
    Filmmaking with Artificial Intelligence Image Generation Models In just about one year, OpenAI’s release of ChatGPT 4 has caused panic in our daily lives. After a year, OpenAI introduced Sora, a moving image-generating model from text, similar to DALL-E for still images. Even though Sora is not yet available to the public, the very potential itself has raised issues in film production from the perspectives of producers and studios, as well as directors, actors, writers, and editors. In this chapter, the (...)
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  48. On The Rabbinical Exegesis of an Enhanced Biblical Value of Pi.Edward G. Belaga - 1991 - In Hardi Grant, Israel Kleiner & Abe Shenitzer (eds.), Proc. of the 17th Congress of the Canadian Society of History and Philosophy of Mathematics. Kingston.
    We present here a biblical exegesis of the value of Pi, PI_{Hebrew} = 3.141509 ..., from the well known verse 1 Kings 7:23. This verse is then compared to 2 Chronicles 4:2; the comparison provides independent supporting evidence for the exegesis.
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  49. Confined Freedom and Free Confinement: The Ethics of Captivity in Life of Pi.Heather Browning & Walter Veit - 2020 - In Adam T. Bogar & Rebeka Sara Szigethy (eds.), Critical Insights: Life of Pi. Ipswich, MA: Salem Press. pp. 119-134.
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  50. 4. H atom n level Bohr radii correlate with pi via a hyperbolic spiral.Malcolm Macleod - manuscript
    The electron is found at discrete energy levels within the atom, transition between these levels is considered to involve a `jump' rather than via a continuous motion. If we simulate the transition in the H atom as a series of individual steps, with each step the frequency of the electron, we can map a semi-continuous transition (from n=1 to n=2 requires about 1887860 steps, transition period a function of the photon wavelength). Plotting the electron from n=1 to ionization traces a (...)
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