Results for 'T. Ishikawa'

961 found
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  1. Wittgenstein's picture theory in the linguistic Copenhagen interpretation of dualistic idealism.Ishikawa Shiro -
    Recently, we have proposed quantum language ( or the linguistic Copenhagen interpretation of quantum mechanics). Quantum languages describe both classical and quantum systems and therefore have great power to solve almost all philosophical problems. Thus, we believe that quantum language can be regarded as the language of science. Therefore, it makes sense to study Wittgenstein's picture theory within the framework of quantum language, since Wittgenstein's language (i.e., the language that he supposed, but didn't define in his book "Tractatus Logico-Philosophicus") may (...)
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  2. (2 other versions)History of Western philosophy from the quantum theoretical point of view.Shiro Ishikawa - manuscript
    Recently we proposed “quantum language”which was characterized as the metaphysical and linguistic turn of quantum mechanics. This turn from physics to language does not only realize the remarkable extension of quantum mechanics but also yield the quantum mechanical world view. And thus, the turn urges us to dream that Western philosophies (i.e., Parmenides, Plato, Descartes, John Locke, Berkeley, Hume, Kant, Wittgenstein, etc.) can be understood in quantum language. In this paper, from the quantum linguistic point of view, we give the (...)
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  3. Leibniz-Clarke Correspondence, Brain in a Vat, Five-Minute Hypothesis, McTaggart’s Paradox, etc. Are Clarified in Quantum Language [Revised version].Shiro Ishikawa - 2018 - Open Journal of Philosophy 8 (5):466-480.
    Recently we proposed "quantum language" (or, the linguistic Copenhagen interpretation of quantum mechanics"), which was not only characterized as the metaphysical and linguistic turn of quantum mechanics but also the linguistic turn of Descartes=Kant epistemology. We believe that quantum language is the language to describe science, which is the final goal of dualistic idealism. Hence there is a reason to want to clarify, from the quantum linguistic point of view, the following problems: "brain in a vat argument", "the Cogito proposition", (...)
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  4. A final solution to the mind-body problem by quantum language.Shiro Ishikawa - 2017 - Journal of Quantum Information Science 7:140-154.
    Recently we proposed “quantum language”, which was not only characterized as the metaphysical and linguistic turn of quantum mechanics but also the linguistic turn of Descartes = Kant epistemology. And further we believe that quantum language is the only scientifically successful theory in dualistic idealism. If this turn is regarded as progress in the history of western philosophy (i.e., if “philosophical progress” is defined by “approaching to quantum language”), we should study the linguistic mind-body problem more than the epistemological mind-body (...)
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  5. (2 other versions)Linguistic Copenhagen interpretation of quantum mechanics: Quantum Language [Ver. 4].Shiro Ishikawa - manuscript
    Recently we proposed “quantum language" (or,“the linguistic Copenhagen interpretation of quantum mechanics"), which was not only characterized as the metaphysical and linguistic turn of quantum mechanics but also the linguistic turn of Descartes=Kant epistemology. Namely, quantum language is the scientific final goal of dualistic idealism. It has a great power to describe classical systems as well as quantum systems. Thus, we believe that quantum language is the language in which science is written. The purpose of this preprint is to examine (...)
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  6. O SUJEITO NA FILOSOFIA DE NIETZSCHE: DA CRÍTICA À METAFÍSICA AO SUJEITO DA TRANSVALORAÇÃO DOS VALORES.Italo Kiyomi Ishikawa - 2019 - Dissertation, Federal University of Paraná
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  7. The Rational Faculty of Desire.T. A. Pendlebury & Jeremy Fix - forthcoming - In Carla Bagnoli & Stefano Bacin (eds.), Reason, Agency and Ethics. Oxford University Press.
    This essay is about the relationship between the notions of practical reason, the will, and choice in Kant’s practical philosophy. Although Kant explicitly identifies practical reason and the will, many interpreters argue that he cannot really mean it on the grounds that unless they are distinct, irrational and, especially, immoral action is impossible. Other readers affirm his identification but distinguish the will from choice on the same basis. We argue that proper attention to Kant’s conception of practical reason as a (...)
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  8.  74
    A Holistic Defense of Veritic Epistemic Consequentialism.T. Toy - 2024 - Teorema: International Journal of Philosophy 43 (2):77-92.
    This paper offers a defense of veritic epistemic consequentialism, addressing its principal critiques. I argue that the core of epistemological value lies in its conduciveness to truth, rendering true beliefs intrinsically valuable. In response to the criticism that this approach may sacrifice individual truths for a greater aggregate and undervalues autonomous inquiry, I emphasize the well-connectedness of beliefs. Each belief's content is a proposition. Propositions are classified as first-order, second-order, third-order, etc., depending on what they are about. Higher-order propositions are (...)
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  9.  56
    The Ontology of Compositeness Within Quantum Field Theory.T. Peterken - manuscript
    In this work, we attempt to define a notion of compositeness compatible with Quantum Field Theory. Considering the analytic properties of the S-matrix, we conclude that there is no satisfactory definition of compositeness compatible with Quantum Field Theory. Without this notion, one must claim that all bound states are equally fundamental, that is, one cannot rigorously claim that everyday objects are made of atoms or that atoms are made of protons and neutrons. I then show how an approximate notion of (...)
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  10. Some Socratic Modesty: A Reconsideration of Recent Empirical Work on Moral Judgment.David Sackris & Michael T. Dale - 2024 - Journal of Value Inquiry 1:1-23.
    One way to interpret the work of Joshua Greene (2001; 2008; 2014) is that the wave of empirical research into moral decision-making is a way for us to become more confident in our ability to gain moral knowledge. We argue that empirical research into moral judgment has shown (both survey-based and brain-based) that the grounds of moral judgment are opaque on several dimensions. We argue that we cannot firmly grasp what the morally relevant/irrelevant features of a decision context are, understand (...)
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  11.  31
    The Knowledge Society: Migration Discourse Captured by Capital.Kasavin Ilya T. - 2024 - Russian Sociological Review 23 (3):314-325.
    The article focuses on the nature of the modern knowledge society, which is characterized, first of all, by a sharp increase in intellectual capital (education, experience, skills, competencies, know-how, the price of personnel in the labor market, patents, etc.) in the amount of capitalization of large business. The knowledge society is a society of high social dynamics, the embodiment of the migration archetype, of rational discourse and intellectual work, which realizes the well-known thesis “Knowledge is power” in a new way. (...)
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  12. Causalité agentive (A).Robin T. Bianchi - 2024 - Dans Maxime Kristanek (Dir.), L'encyclopédie Philosophique.
    Considérez les énoncés suivants : « La bombe a causé la destruction du pont » ; « L’explosion de la bombe a causé la destruction du pont » ; « Booth a causé la mort de Lincoln » ; et « Le tir de Booth a causé la mort de Lincoln ». Ces énoncés suggèrent que les objets, tels que les bombes ou les personnes, font partie de la catégorie ontologique des causes, au même titre que les évènements, comme le (...)
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  13.  63
    Sự phát triển báo chí tại Việt Nam dưới lăng kính của Kinh Tế Học.T. Viet-Ha Nguyen & Manh-Tung Ho - 2024 - Tạp Chí Thông Tin Và Truyền Thông 6 (6/2024):24-30.
    Ngành báo chí, một trong những ngành truyền thông mạnh mẽ nhất hiện nay, đang đóng vai trò quan trọng trong việc cung cấp thông tin, giáo dục công chúng, và giải trí nhưng đồng thời cũng là một lĩnh vực có tính cạnh tranh cao và đầy biến động trong bối cảnh kinh tế toàn cầu. Bài viết nhằm đóng góp cái nhìn dưới lăng kính kinh tế học vào quá trình phát triển và cập nhật xu hướng của (...)
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  14.  46
    The evolution of general information systems through the example of video game.T. Tri Le - manuscript
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  15. The Ideals Program in Algorithmic Fairness.Rush T. Stewart - forthcoming - AI and Society.
    I consider statistical criteria of algorithmic fairness from the perspective of the _ideals_ of fairness to which these criteria are committed. I distinguish and describe three theoretical roles such ideals might play. The usefulness of this program is illustrated by taking Base Rate Tracking and its ratio variant as a case study. I identify and compare the ideals of these two criteria, then consider them in each of the aforementioned three roles for ideals. This ideals program may present a way (...)
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  16.  14
    The Mind's World.T. Catalan - manuscript
    In recent years, the advent of Artificial Intelligence (AI) has profoundly reshaped the way we access and utilize humanity's vast reservoir of knowledge. Equipped with this powerful tool, I have undertaken a thorough exploration of the Human Mind, motivated by a growing concern: the evident decline in students' enthusiasm for learning. More specifically, as a professor and researcher, my need for understanding has driven me to explore in depth what defines us as Human beings and what sets us apart from (...)
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  17. Center 華 and Periphery 夷 in Eighteenth-Century Annamese Neo-Confucian Discourse.Nguyen T. D. - 2023 - Journal of Confucian Philosophy and Culture 39:31-64.
    This paper examines 18th-century Annamese Neo-Confucian discourse on conceptual issues related to zhongguo and the hua-yi dichotomy as expressed across a diversity of 18th-century writings. I engage with Huang Chun-chieh’s theory of “contextual turn” and localized subjectivity in 18th-century East Asian Confucianisms by arguing that 18th-century Annamese Neo-Confucianism operated along a dissimilar ideological trajectory which affirmed “geographic China, political China, and cultural China” as a transdynastic and singular zhongguo from which Annam received its politico-cultural legitimation and prestige. This discourse of (...)
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  18. The JTB+S definition of knowledge: solving Gettier's problem.Marcoen J. T. F. Cabbolet - manuscript
    The JTB definition of knowledge has been shown by Gettier to be incomplete: its three conditions are necessary for knowledge, but not sufficient. We argue that the JTB definition can be completed with a very simple fourth condition, namely that the justification for the belief in p must be sufficient to exclude ¬p. It is shown that the resulting JTB+S definition solves the Gettier problem.
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  19. What Is the Well-Foundedness of Grounding?T. Scott Dixon - 2016 - Mind 125 (498):439-468.
    A number of philosophers think that grounding is, in some sense, well-founded. This thesis, however, is not always articulated precisely, nor is there a consensus in the literature as to how it should be characterized. In what follows, I consider several principles that one might have in mind when asserting that grounding is well-founded, and I argue that one of these principles, which I call ‘full foundations’, best captures the relevant claim. My argument is by the process of elimination. For (...)
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  20. The future won’t be pretty: The nature and value of ugly, AI-designed experiments.Michael T. Stuart - 2023 - In Milena Ivanova & Alice Murphy (eds.), The Aesthetics of Scientific Experiments. New York, NY: Routledge.
    Can an ugly experiment be a good experiment? Philosophers have identified many beautiful experiments and explored ways in which their beauty might be connected to their epistemic value. In contrast, the present chapter seeks out (and celebrates) ugly experiments. Among the ugliest are those being designed by AI algorithms. Interestingly, in the contexts where such experiments tend to be deployed, low aesthetic value correlates with high epistemic value. In other words, ugly experiments can be good. Given this, we should conclude (...)
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  21. Predictive Minds Can Be Humean Minds.Frederik T. Junker, Jelle Bruineberg & Thor Grünbaum - forthcoming - British Journal for the Philosophy of Science.
    The predictive processing literature contains at least two different versions of the framework with different theoretical resources at their disposal. One version appeals to so-called optimistic priors to explain agents’ motivation to act (call this optimistic predictive processing). A more recent version appeals to expected free energy minimization to explain how agents can decide between different action policies (call this preference predictive processing). The difference between the two versions has not been properly appreciated, and they are not sufficiently separated in (...)
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  22. Responsible Innovation in Business: A critical reflection on deliberative engagement as a central governance mechanism.T. Brand & Vincent Blok - 2019 - Journal of Responsible Innovation 1 (6):4-24.
    One of the main contentions of the framework for Responsible Innovation (RI) is that social and ethical aspects have to be addressed by deliberative engagement with stakeholders and the wider public throughout the innovation process. The aim of this article is to reflect on the question to what extent is deliberative engagement suitable for conducting RI in business. We discuss several tensions that arise when this framework is applied in the business context. Further, we analyse the place of deliberative engagement (...)
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  23.  63
    Physikalismus, Pragmatismus und die Frage nach dem Anfang.T. Raja Rosenhagen - 2013 - In Frank Brosow & T. Raja Rosenhagen (eds.), Moderne Theorien praktischer Normativität: Zur Wirklichkeit und Wirkungsweise des praktischen Sollens. Münster: mentis. pp. 297-328.
    Dieser Artikel enthält eine kritische Diskussion der von Peter Stemmer in seinem Buch "Normativität. Eine ontologische Untersuchung" vorgelegten Analyse von Normativität. Zentraler Kritikpunkt ist der Umstand, dass der für Stemmers Analyse zentrale Begriff des Wollens unanalysiert bleibt, sich dieses jedoch, so das hier vorgestellte Argument, entweder in einer Weise analysieren lassen wird, die, als Tendenz gedeutet, weniger zu leisten vermag als Stemmer für seine Analyse benötigt, oder, als intentionaler Zustand gedeutet, selbst bereits Normativität voraussetzt und somit für Stemmers reduktive Analyse (...)
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  24.  83
    The virtue of ignorance: How epistemic agency needs cognitive limitations.Benjamin T. Rancourt - 2024 - Southern Journal of Philosophy 62.
    The thesis defended in this article is that epistemology should treat some of our cognitive limitations not as unfortunate defects or external perturbations to be idealized away in theories of epistemic agency, but as necessary underpinnings of good reasoning. We begin with a problem regarding deliberation that calls epistemic agency into question: our reasons in support of belief are never conclusive and never rule out all doubt. Yet we must rule out all doubt to close deliberation; we must close deliberation (...)
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  25. The co-evolution of virtue and desert: debunking intuitions about intrinsic value.Isaac Wiegman & Michael T. Dale - 2024 - Synthese 204 (4):1-18.
    Thomas Hurka’s recursive account of value appeals to certain intuitions to expand the class of intrinsic values, placing concepts of virtue and desert within the realm of second and third order intrinsic goods, respectively. This is a formalization of a tradition of thought extending back to Aristotle and Kant via the British moralists, G. E. Moore, and W. D. Ross. However, the evidential status of such intuitions vis a vis the real, intrinsic value of virtue and desert is hostage to (...)
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  26. Plural Slot Theory.T. Scott Dixon - 2018 - In Karen Bennett & Dean W. Zimmerman (eds.), Oxford Studies in Metaphysics Volume 11. Oxford University Press. pp. 193-223.
    Kit Fine (2000) breaks with tradition, arguing that, pace Russell (e.g., 1903: 228), relations have neither directions nor converses. He considers two ways to conceive of these new "neutral" relations, positionalism and anti-positionalism, and argues that the latter should be preferred to the former. Cody Gilmore (2013) argues for a generalization of positionalism, slot theory, the view that a property or relation is n-adic if and only if there are exactly n slots in it, and (very roughly) that each slot (...)
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  27. Causers, Causes, and Doers.Robin T. Bianchi - 2024 - Grazer Philosophische Studien 2 (101):118-40.
    The view that to act is to cause change and that to be an agent is to be the causer of an action’s result has gained traction in the past twenty years or so. This view seems to have two significant corollaries. First, there is no distinction between doing an action and causing its result. Second, any two actions that have the same result will turn out to be identical. Ruben (2018) has recently used the first corollary to challenge the (...)
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  28. Why Trust Raoult? How Social Indicators Inform the Reputations of Experts.T. Y. Branch, Gloria Origgi & Tiffany Morisseau - 2022 - Social Epistemology 36 (3):299-316.
    The COVID-19 crisis has highlighted the considerable challenge of sourcing expertise and determining which experts to trust. Dissonant information fostered controversy in public discourse and encouraged an appeal to a wide range of social indicators of trustworthiness in order to decide whom to trust. We analyze public discourse on expertise by examining how social indicators inform the reputation of Dr. Didier Raoult, the French microbiologist who rose to international prominence as an early advocate for using hydroxychloroquine to treat COVID-19. To (...)
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  29.  37
    Rosen’s 'A Creature of Modern Scholarship' — A Reply.T. Brickhouse & N. D. Smith - 1998 - Polis 15 (1-2):13-22.
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  30. Categorical phenomenalism about sexual orientation.T. R. Whitlow & N. G. Laskowski - 2022 - Philosophy and Phenomenological Research 106 (3):581-596.
    What is sexual orientation? The contemporary consensus among philosophers is that it is a disposition. Unsurprisingly, recent debates about the metaphysics of sexual orientation are almost entirely intramural. Behavioral dispositionalists argue that sexual orientation is a disposition to behave sexually. Desire dispositionalists argue that it is a disposition to desire sexually. We argue that sexual orientation is not best understood in terms of dispositions to behave or dispositions to desire before arguing that dispositions tout court fail to illuminate sexual orientation. (...)
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  31. The Awe-some Argument for Pantheism.T. Ryan Byerly - 2019 - European Journal for Philosophy of Religion 11 (2):1-21.
    Many pantheists have claimed that their view of the divine is motivated by a kind of spiritual experience. In this paper, I articulate a novel argument, inspired by recent work on moral exemplarism, that gives voice to this kind of motivation for pantheism. The argument is based on two claims about the emotion of awe, each of which is defended primarily via critical engagement with empirical research on the emotion. I also illustrate how this pathway to pantheism offers pantheists distinctive (...)
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  32. Rethinking the Conceptual Space for Science in Society after the VFI.T. Y. Branch & Heather Douglas - 2023 - Philosophy of Science.
    Replacing the value-free ideal (VFI) for science requires attention to the broader understanding of how science in society should function. In public spaces, science needed to project the VFI in norms for science advising, science education, and science communication. This resulted in the independent science advisor model and a focus on science literacy for science education and communication. Attending to these broader implications of the VFI which structure science and society relationships is crucial if we are to properly replace the (...)
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  33.  76
    Real consciousness in an unreal world?T. Tri Le - manuscript
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  34.  87
    Deep Uncertainty and Incommensurability: General Cautions about Precaution.Rush T. Stewart - forthcoming - Philosophy of Science.
    The precautionary principle is invoked in a number of important personal and policy decision contexts. Peterson shows that certain ways of making the principle precise are inconsistent with other criteria of decision-making. Some object that the results do not apply to cases of deep uncertainty or value incommensurability which are alleged to be in the principle’s wheelhouse. First, I show that Peterson’s impossibility results can be generalized considerably to cover cases of both deep uncertainty and incommensurability. Second, I contrast an (...)
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  35. Theodical Individualism.T. J. Mawson - 2011 - European Journal for Philosophy of Religion 3 (1):139 - 159.
    In this journal Steve Maitzen has recently advanced an argument for atheism premised on theodical individualism, the thesis that God would not permit people to suffer evils that were underserved, involuntary, and gratuitous for them. In this paper I advance reasons to think this premise mistaken.
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  36. Why Can’t the Impassible God Suffer? Analytic Reflections on Divine Blessedness.R. T. Mullins - 2018 - TheoLogica: An International Journal for Philosophy of Religion and Philosophical Theology 2 (1):3-22.
    According to classical theism, impassibility is said to be systematically connected to divine attributes like timelessness, immutability, simplicity, aseity, and self-sufficiency. In some interesting way, these attributes are meant to explain why the impassible God cannot suffer. I shall argue that these attributes do not explain why the impassible God cannot suffer. In order to understand why the impassible God cannot suffer, one must examine the emotional life of the impassible God. I shall argue that the necessarily happy emotional life (...)
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  37. Unification.T. Jones - 2005 - In Martin Curd & Stathis Psillos (eds.), The Routledge Companion to Philosophy of Science. New York: Routledge.
    Summary: Throughout the history of science, indeed throughout the history of knowledge, unification has been touted as a central aim of intellectual inquiry. We’ve always wanted to discover not only numerous bare facts about the universe, but to show how such facts are linked and interrelated. Large amounts of time and effort have been spent trying to show diverse arrays of things can be seen as different manifestations of some common underlying entities or properties. Thales is said to have originated (...)
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  38. On Determining How Important It Is Whether or Not There Is a God.T. J. Mawson - 2012 - European Journal for Philosophy of Religion 4 (4):95--105.
    Can the issue of how important it is whether or not there is a God be decided prior to deciding whether or not there is a God? In this paper, I explore some difficulties that stand in the way of answering this question in the affirmative and some of the implications of these difficulties for that part of the Philosophy of Religion which concerns itself with assessing arguments for and against the existence of God, the implications for how its importance (...)
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  39. Synthetic biology and the ethics of knowledge.T. Douglas & J. Savulescu - 2010 - Journal of Medical Ethics 36 (11):687-693.
    Synthetic biologists aim to generate biological organisms according to rational design principles. Their work may have many beneficial applications, but it also raises potentially serious ethical concerns. In this article, we consider what attention the discipline demands from bioethicists. We argue that the most important issue for ethicists to examine is the risk that knowledge from synthetic biology will be misused, for example, in biological terrorism or warfare. To adequately address this concern, bioethics will need to broaden its scope, contemplating (...)
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  40.  44
    Ensuring Mutual Benefit in Human-AI Coexistence.T. Niedzialek - unknown
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  41.  70
    The Imperfect City: Leo Strauss Reading al-Farabi reading Plato.John T. Giordano - manuscript
    Leo Strauss’ reading of al-Farabi is a meditation on the issue of how philosophers speak beyond their time and place. They must speak in such a way that they can be understood by the enlightened but avoid persecution by the vulgar masses. According to Strauss, al-Farabi recognized that the philosopher can be happy in the imperfect city democratic city because of its freedom of thought, while the masses can be truly happy only in the virtuous city. This leads him to (...)
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  42. Inputs from Murdoch and Rosenberg for Philosophical Counselling.T. Raja Rosenhagen - 2023 - Philosophical Practice: Journal of the American Philosophical Practitioners Association 18 (1):3027-38.
    In this article, I suggest that combining resources from philosophy and psychology can yield useful tools for philosophical counselling. More specifically, I argue for three theses: a) Iris Murdoch’s notion of just attention and Marshall Rosenberg’s method of non-violent communication are interestingly compatible; b) engaging in non-violent communication serves to support one’s endeavors to acquire the kind of clear vision Murdoch thinks doing well by others requires; and c) non-violent just communication would be beneficial to both counsellors and counselees and (...)
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  43. Apparent mental causation: Sources of the experience of will.Daniel M. Wegner & T. Wheatley - 1999 - American Psychologist 54:480-492.
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  44. Retinae don't see.John T. Sanders - 2004 - Behavioral and Brain Sciences 27 (6):890-891.
    Sensation should be understood globally: some infant behaviors do not make sense on the model of separate senses; neonates of all species lack time to learn about the world by triangulating among different senses. Considerations of natural selection favor a global understanding; and the global interpretation is not as opposed to traditional work on sensation as might seem.
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  45. Between Atomism and Superatomism.T. Scott Dixon - 2020 - Journal of Philosophical Logic 49 (6):1215-1241.
    There are at least three vaguely atomistic principles that have come up in the literature, two explicitly and one implicitly. First, standard atomism is the claim that everything is composed of atoms, and is very often how atomism is characterized in the literature. Second, superatomism is the claim that parthood is well-founded, which implies that every proper parthood chain terminates, and has been discussed as a stronger alternative to standard atomism. Third, there is a principle that lies between these two (...)
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  46. (1 other version)Culture and Administration.T. W. Adorno - 1978 - Télos 1978 (37):93-111.
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  47. The Philosophical Significance of Tennenbaum’s Theorem.T. Button & P. Smith - 2012 - Philosophia Mathematica 20 (1):114-121.
    Tennenbaum's Theorem yields an elegant characterisation of the standard model of arithmetic. Several authors have recently claimed that this result has important philosophical consequences: in particular, it offers us a way of responding to model-theoretic worries about how we manage to grasp the standard model. We disagree. If there ever was such a problem about how we come to grasp the standard model, then Tennenbaum's Theorem does not help. We show this by examining a parallel argument, from a simpler model-theoretic (...)
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  48. Infinite Descent.T. Scott Dixon - 2020 - In Michael J. Raven (ed.), The Routledge Handbook of Metaphysical Grounding. New York: Routledge. pp. 244-58.
    Once one accepts that certain things metaphysically depend upon, or are metaphysically explained by, other things, it is natural to begin to wonder whether these chains of dependence or explanation must come to an end. This essay surveys the work that has been done on this issue—the issue of grounding and infinite descent. I frame the discussion around two questions: (1) What is infinite descent of ground? and (2) Is infinite descent of ground possible? In addressing the second question, I (...)
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  49. Relative Positionalism and Variable Arity Relations.T. Scott Dixon - 2019 - Metaphysics 2 (1):55-72.
    Maureen Donnelly’s (2016) relative positionalism correctly handles any fixed arity relation with any symmetry such a relation can have, yielding the intuitively correct way(s) in which that relation can apply. And it supplies an explanation of what is going on in the world that makes this the case. But it has at least one potential shortcoming — one that its opponents are likely to seize upon: it can only handle relations with fixed arities. It is unable to handle relations with (...)
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  50. Why the numbers should sometimes count.John T. Sanders - 1988 - Philosophy and Public Affairs 17 (1):3-14.
    John Taurek has argued that, where choices must be made between alternatives that affect different numbers of people, the numbers are not, by themselves, morally relevant. This is because we "must" take "losses-to" the persons into account (and these don't sum), but "must not" consider "losses-of" persons (because we must not treat persons like objects). I argue that the numbers are always ethically relevant, and that they may sometimes be the decisive consideration.
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