Results for 'Platonism'

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  1. The Concept of the Simulacrum: Deleuze and the Overturning of Platonism.Daniel W. Smith - 2005 - Continental Philosophy Review 38 (1-2):89-123.
    This article examines Gilles Deleuze’s concept of the simulacrum, which Deleuze formulated in the context of his reading of Nietzsche’s project of “overturning Platonism.” The essential Platonic distinction, Deleuze argues, is more profound than the speculative distinction between model and copy, original and image. The deeper, practical distinction moves between two kinds of images or eidolon, for which the Platonic Idea is meant to provide a concrete criterion of selection “Copies” or icons (eikones) are well-grounded claimants to the transcendent (...)
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  2. Platonism About Goodness—Anselm’s Proof in the Monologion.Jeffrey E. Brower - 2019 - TheoLogica: An International Journal for Philosophy of Religion and Philosophical Theology 3 (2):1-28.
    In the opening chapter of the Monologion, Anselm offers an intriguing proof for the existence of a Platonic form of goodness. This proof is extremely interesting, both in itself and for its place in the broader argument for God’s existence that Anselm develops in the Monologion as a whole. Even so, it has yet to receive the scholarly attention that it deserves. My aim in this article is to begin correcting this state of affairs by examining Anslem’s proof in some (...)
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  3.  64
    What is Field's Epistemological Objection to Platonism?Ylwa Sjölin Wirling - 2019 - In Robin Stenwall & Tobias Hansson Wahlberg (eds.), Maurinian Truths : Essays in Honour of Anna-Sofia Maurin on her 50th Birthday. pp. 123-133.
    This paper concerns an epistemological objection against mathematical platonism, due to Hartry Field.The argument poses an explanatory challenge – the challenge to explain the reliability of our mathematical beliefs – which the platonist, it’s argued, cannot meet. Is the objection compelling? Philosophers disagree, but they also disagree on (and are sometimes very unclear about) how the objection should be understood. Here I distinguish some options, and highlight some gaps that need to be filled in on the potentially most compelling (...)
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  4. Mathematical Platonism and the Nature of Infinity.Gilbert B. Côté - 2013 - Open Journal of Philosophy 3 (3):372-375.
    An analysis of the counter-intuitive properties of infinity as understood differently in mathematics, classical physics and quantum physics allows the consideration of various paradoxes under a new light (e.g. Zeno’s dichotomy, Torricelli’s trumpet, and the weirdness of quantum physics). It provides strong support for the reality of abstractness and mathematical Platonism, and a plausible reason why there is something rather than nothing in the concrete universe. The conclusions are far reaching for science and philosophy.
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  5.  77
    Platonism in Lotze and Frege Between Psyschologism and Hypostasis.Nicholas Stang - 2019 - In Sandra Lapointe (ed.), Logic from Kant to Russell. Routledge. pp. 138–159.
    In the section “Validity and Existence in Logik, Book III,” I explain Lotze’s famous distinction between existence and validity in Book III of Logik. In the following section, “Lotze’s Platonism,” I put this famous distinction in the context of Lotze’s attempt to distinguish his own position from hypostatic Platonism and consider one way of drawing the distinction: the hypostatic Platonist accepts that there are propositions, whereas Lotze rejects this. In the section “Two Perspectives on Frege’s Platonism,” I (...)
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  6. The Role of Platonism in Augustine's 386 Conversion to Christianity.Mark J. Boone - May 2015 - Religion Compass 9 (5):151-61.
    Augustine′s conversion to Christianity in A.D. 386 is a pivotal moment not only in his own life, but in Christian and world history, for the theology of Augustine set the course of theological and cultural development in the western Christian church. But to what exactly was Augustine converted? Scholars have long debated whether he really converted to Christianity in 386, whether he was a Platonist, and, if he adhered to both Platonism and Christianity, which dominated his thought. The debate (...)
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  7. Pythagorean Powers or a Challenge to Platonism.Colin Cheyne & Charles R. Pigden - 1996 - Australasian Journal of Philosophy 74 (4):639 – 645.
    The Quine/Putnam indispensability argument is regarded by many as the chief argument for the existence of platonic objects. We argue that this argument cannot establish what its proponents intend. The form of our argument is simple. Suppose indispensability to science is the only good reason for believing in the existence of platonic objects. Either the dispensability of mathematical objects to science can be demonstrated and, hence, there is no good reason for believing in the existence of platonic objects, or their (...)
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  8.  67
    Platonism, Spinoza and the History of Deconstruction.Gordon Hull - 2009 - In K. C. Baral & R. Radhakrishnan (eds.), Theory After Derrida: Essays in Critical Praxis. Routledge, Taylor & Francis Group. pp. 74.
    This paper revisits Derrida’s and Deleuze’s early discussions of “Platonism” in order to challenge the common claim that there is a fundamental divergence in their thought and to challenge one standard narrative about the history of deconstruction. According to that narrative, deconstruction should be understood as the successor to phenomenology. To complicate this story, I read Derrida’s “Plato’s Pharmacy” alongside Deleuze’s discussion of Platonism and simulacra at the end of Logic of Sense. Both discussions present Platonism as (...)
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  9.  95
    The Philosophical Implications of the Loophole-Free Violation of Bell’s Inequality: Quantum Entanglement, Timelessness, Triple-Aspect Monism, Mathematical Platonism and Scientific Morality.Gilbert B. Côté - manuscript
    The demonstration of a loophole-free violation of Bell's inequality by Hensen et al. (2015) leads to the inescapable conclusion that timelessness and abstractness exist alongside space-time. This finding is in full agreement with the triple-aspect monism of reality, with mathematical Platonism, free will and the eventual emergence of a scientific morality.
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  10.  57
    The ‘Space’ at the Intersection of Platonism and Nominalism.Edward Slowik - 2015 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 46 (2):393-408.
    This essay explores the use of platonist and nominalist concepts, derived from the philosophy of mathematics and metaphysics, as a means of elucidating the debate on spacetime ontology and the spatial structures endorsed by scientific realists. Although the disputes associated with platonism and nominalism often mirror the complexities involved with substantivalism and relationism, it will be argued that a more refined three-part distinction among platonist/nominalist categories can nonetheless provide unique insights into the core assumptions that underlie spatial ontologies, but (...)
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  11.  77
    Priority, Platonism, and the Metaontology of Abstraction.Michele Lubrano - 2016 - Dissertation, University of Turin
    In this dissertation I examine the NeoFregean metaontology of mathematics. I try to clarify the relationship between what is sometimes called Priority Thesis and Platonism about mathematical entities. I then present three coherent ways in which one might endorse both these stances, also answering some possible objections. Finally I try to show which of these three ways is the most promising.
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  12. Platonism and Christian Thought in Late Antiquity.Panagiotis G. Pavlos, Janby Lars Fredrik, Eyjolfur Emilsson & Torstein Tollefsen (eds.) - 2019 - London: Routledge.
    Platonism and Christian Thought in Late Antiquity examines the various ways in which Christian intellectuals engaged with Platonism both as a pagan competitor and as a source of philosophical material useful to the Christian faith. The chapters are united in their goal to explore transformations that took place in the reception and interaction process between Platonism and Christianity in this period. -/- The contributions in this volume explore the reception of Platonic material in Christian thought, showing that (...)
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  13. Deep Platonism.Chad Carmichael - 2016 - Philosophy and Phenomenological Research 92 (2):307-328.
    According to the traditional bundle theory, particulars are bundles of compresent universals. I think we should reject the bundle theory for a variety of reasons. But I will argue for the thesis at the core of the bundle theory: that all the facts about particulars are grounded in facts about universals. I begin by showing how to meet the main objection to this thesis (which is also the main objection to the bundle theory): that it is inconsistent with the possibility (...)
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  14. Mathematical Platonism.Massimo Pigliucci - 2011 - Philosophy Now 84:47-47.
    Are numbers and other mathematical objects "out there" in some philosophically meaningful sense?
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  15. How To Be a Moral Platonist.Knut Olav Skarsune - 2015 - Oxford Studies in Metaethics (10).
    Contrary to popular opinion, non-natural realism can explain both why normative properties supervene on descriptive properties, and why this pattern is analytic. The explanation proceeds by positing a subtle polysemy in normative predicates like “good”. Such predicates express slightly different senses when they are applied to particulars (like Florence Nightingale) and to kinds (like altruism). The former sense, “goodPAR”, can be defined in terms of the latter, “goodKIN”, as follows: x is goodPAR iff there is a kind K such that (...)
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  16. Indispensability Without Platonism.Anne Newstead & James Franklin - 2012 - In Alexander Bird, Brian Ellis & Howard Sankey (eds.), Properties, Powers, and Structures: Issues in the Metaphysics of Realism. New York, USA: Routledge. pp. 81-97.
    According to Quine’s indispensability argument, we ought to believe in just those mathematical entities that we quantify over in our best scientific theories. Quine’s criterion of ontological commitment is part of the standard indispensability argument. However, we suggest that a new indispensability argument can be run using Armstrong’s criterion of ontological commitment rather than Quine’s. According to Armstrong’s criterion, ‘to be is to be a truthmaker (or part of one)’. We supplement this criterion with our own brand of metaphysics, 'Aristotelian (...)
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  17. Isolated Experiences: Gilles Deleuze and the Solitudes of Reversed Platonism.James Brusseau - 1998 - New York, USA: State University of New York Press.
    Traversing the genres of philosophy and literature, this book elaborates Deleuze's notion of difference, conceives certain individuals as embodying difference, and applies these conceptions to their writings.
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  18.  88
    Platonism by the Numbers.Steven M. Duncan - manuscript
    In this paper, I defend traditional Platonic mathematical realism from its contemporary detractors, arguing that numbers, understood as abstract, non-physical objects of rational intuition, are indispensable for the act of counting.
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  19. Is There a Good Epistemological Argument Against Platonism?David Liggins - 2006 - Analysis 66 (2):135–141.
    Platonism in the philosophy of mathematics is the doctrine that there are mathematical objects such as numbers. John Burgess and Gideon Rosen have argued that that there is no good epistemological argument against platonism. They propose a dilemma, claiming that epistemological arguments against platonism either rely on a dubious epistemology, or resemble a dubious sceptical argument concerning perceptual knowledge. Against Burgess and Rosen, I show that an epistemological anti- platonist argument proposed by Hartry Field avoids both horns (...)
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  20. A Theistic Argument Against Platonism (and in Support of Truthmakers and Divine Simplicity).Michael Bergmann & Jeffrey E. Brower - 2006 - Oxford Studies in Metaphysics 2:357-386.
    Predication is an indisputable part of our linguistic behavior. By contrast, the metaphysics of predication has been a matter of dispute ever since antiquity. According to Plato—or at least Platonism, the view that goes by Plato’s name in contemporary philosophy—the truths expressed by predications such as “Socrates is wise” are true because there is a subject of predication (e.g., Socrates), there is an abstract property or universal (e.g., wisdom), and the subject exemplifies the property.1 This view is supposed to (...)
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  21. Uninstantiated Properties and Semi-Platonist Aristotelianism.James Franklin - 2015 - Review of Metaphysics 69 (1):25-45.
    Once the reality of properties is admitted, there are two fundamentally different realist theories of properties. Platonist or transcendent realism holds that properties are abstract objects in the classical sense, of being nonmental, nonspatial, and causally inefficacious. By contrast, Aristotelian or moderate realism takes properties to be literally instantiated in things. An apple’s color and shape are as real and physical as the apple itself. The most direct reason for taking an Aristotelian realist view of properties is that we perceive (...)
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  22. Two Dogmas of Platonism.Debra Nails - 2013 - Proceedings of the Boston Area Colloquium of Ancient Philosophy 28 (1):77-112.
    Contemporary platonism has been conditioned in large part by two dogmas. One is the belief in a fundamental cleavage between intelligible but invisible Platonic forms that are real and eternal, and perceptible objects whose confinement to spacetime constitutes an inferior existence and about which knowledge is impossible. The other dogma involves a kind of reductionism: the belief that Plato’s unhypothetical first principle of the all is identical to the form of the good. Both dogmas, I argue, are ill-founded.
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  23. The Platonism at the Core of Leibniz's Metaphysics: God and Knowledge.Christia Mercer - 2008 - In S. Hutton (ed.), Platonism and the Origins of Modernity: The Platonic Tradition and the Rise of Modern Philosophy. Ashgate Press.
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  24. Abstracta and Possibilia: Modal Foundations of Mathematical Platonism.Hasen Khudairi - manuscript
    This paper aims to provide modal foundations for mathematical platonism. I examine Hale and Wright’s (2009) objections to the merits and need, in the defense of mathematical platonism and its epistemology, of the thesis of Necessitism. In response to Hale and Wright’s objections to the role of epistemic and metaphysical modalities in providing justification for both the truth of abstraction principles and the success of mathematical predicate reference, I examine the Necessitist commitments of the abundant conception of properties (...)
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  25.  2
    Christianity and Platonism: A History.Alexander J. B. Hampton & John Peter Kenney - forthcoming - Cambridge, UK: Cambridge University Press.
    This is the first volume to offer a systematic consideration and comprehensive overview of Christianity’s long engagement with the Platonic philosophical tradition. The book offers a detailed consideration of the most fertile sources and concepts in Christian Platonism, a historical contextualization of its development, and a series of constructive engagements with central questions. Bringing together a range of leading scholars, the volume guides readers through each of these dimensions, uniquely investigating and explicating one of the most important, controversial, and (...)
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  26.  1
    Platonism, Nature and Environmental Crisis.Alexander J. B. Hampton - forthcoming - In Alexander J. B. Hampton & John Peter Kenney (eds.), Christian Platonism: A History. Cambridge, UK:
    This examination makes the case that the tradition of Christian Platonism can constitute a valuable resource for addressing the long-running and increasingly-acute environmental crisis that threatens the global ecosystem and all who inhabit it. More than a scientific, technological or political challenge, the crisis requires a fundamental shift in the way humans understand nature and their place within it. Key to implementing this shift is the need to address the problematic anthropocentric conceptualisation of nature characteristic of the contemporary social (...)
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  27. Humanist Platonism in Seventeenth-Century Germany.Christia Mercer - 1999 - London Studies in the History of Philosophy 1:238-58.
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  28. Prioritizing Platonism.Kelly Trogdon & Sam Cowling - 2019 - Philosophical Studies 176 (8):2029-2042.
    Discussion of atomistic and monistic theses about abstract reality.
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  29. Platonism in Early Modern Natural Philosophy: The Case of Leibniz and Conway.Christia Mercer - 2012 - In Christoph Horn James Wilberding (ed.), Neoplatonic Natural Philosophy. Oxford University Press.
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  30. Platonism, Moral Nostalgia and the City of Pigs.Rachel Barney - 2001 - Proceedings of the Boston Area Colloquium of Ancient Philosophy 17 (1):207-27.
    Plato’s depiction of the first city in the Republic (Book II), the so-called ‘city of pigs’, is often read as expressing nostalgia for an earlier, simpler era in which moral norms were secure. This goes naturally with readings of other Platonic texts (including Republic I and the Gorgias) as expressing a sense of moral decline or crisis in Plato’s own time. This image of Plato as a spokesman for ‘moral nostalgia’ is here traced in various nineteenth- and twentieth-century interpretations, and (...)
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  31. ¿ES LA MATEMÁTICA LA NOMOGONÍA DE LA CONCIENCIA? REFLEXIONES ACERCA DEL ORIGEN DE LA CONCIENCIA Y EL PLATONISMO MATEMÁTICO DE ROGER PENROSE / Is Mathematics the “nomogony” of Consciousness? Reflections on the origin of consciousness and mathematical Platonism of Roger Penrose.Miguel Acosta - 2016 - Naturaleza y Libertad. Revista de Estudios Interdisciplinares 7:15-39.
    Al final de su libro “La conciencia inexplicada”, Juan Arana señala que la nomología, explicación según las leyes de la naturaleza, requiere de una nomogonía, una consideración del origen de las leyes. Es decir, que el orden que observamos en el mundo natural requiere una instancia previa que ponga ese orden específico. Sabemos que desde la revolución científica la mejor manera de explicar dicha nomología ha sido mediante las matemáticas. Sin embargo, en las últimas décadas se han presentado algunas propuestas (...)
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  32. Platonism and the Apriori in Thought Experiments.Thomas Grundmann - 2017 - In Michael T. Stuart, Yiftach J. H. Fehige & James Robert Brown (eds.), The Routledge Companion to Thought Experiments. London, New York: Routledge.
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  33. Walter Pater as Oxford Hegelian: Plato and Platonism_ and T. H. Green’s _Prolegomena to Ethics.Kit Andrews - 2011 - Journal of the History of Ideas 72 (3):437-459.
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  34. The Platonism of Leibniz's 'New System of Nature'. Mercer - 1996 - In Roger Woolhouse (ed.), Leibniz’s New System. Lessico Intellettuale Europeo.
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  35.  56
    Nietzsche's Subversive Rewritings of Phaedo-Platonism.Mark Anderson - 2017 - In Mark T. Conard (ed.), Nietzsche and the Philosophers. London, UK: Routledge. pp. 63-85.
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  36. Platonism and Philosophical Humanism on the Continent.Christia Mercer - 2002 - In Steven Nadler (ed.), A Companion to Early Modern Philosophy. Blackwell.
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  37. Leibniz's Teachers: Their Eclecticism and Platonism.Christia Mercer - 1999 - In S. Brown (ed.), The Philosophy of the Young Leibniz. Kluwer Academic Publishers.
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  38.  37
    Autonomy Platonism and the Indispensability Argument. By Russell Marcus. Lanham, Md.: Lexington Books, 2015. Pp. Xii + 247. [REVIEW]Nicholas Danne - 2017 - Metaphilosophy 48 (4):591-594.
    Comprehensive resource for indispensability research.
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  39. Iamblichus and the Foundations of Late Platonism.Eugene V. Afonasin, John M. Dillon & John Finamore (eds.) - 2012 - Brill.
    Drawing on recent scholarship and delving systematically into Iamblichean texts, these ten papers establish Iamblichus as the great innovator of Neoplatonic philosophy who broadened its appeal for future generations of philosophers.
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  40. John Smith and Platonism in A Discourse Concerning the True Way or Method of Attaining to Divine Knowledge.Akira Mikami - 2013 - Toyo Eiwa Graduate School Bulletin 9:1-19.
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  41. The Transcendence of Sophia in Plotinus' Treatise on Intelligible Beauty.Daniele Bertini - 2007 - In Robert M. Berchman & John F. Finamore (eds.), Metaphysical Patterns in Platonism. University Press of the South. pp. 34-44.
    I consider an argument by Plotinus to show how the notion of transcendence is used in explaining the nature of knowledge. The argument is set forth in sections 4-6 of the treatise V.8 (31). In my opinion this argument provides a good example of the philosophical frame of Platonism. I sum up this frame in the following theses: a) for a thing being is to be real and true; so that for a thing being real and being true is (...)
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  42.  85
    A Dilemma for Mathematical Constructivism.Samuel Kahn - 2020 - Axiomathes:01-10.
    In this paper I argue that constructivism in mathematics faces a dilemma. In particular, I maintain that constructivism is unable to explain (i) the application of mathematics to nature and (ii) the intersubjectivity of mathematics unless (iii) it is conjoined with two theses that reduce it to a form of mathematical Platonism. The paper is divided into five sections. In the first section of the paper, I explain the difference between mathematical constructivism and mathematical Platonism and I outline (...)
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  43. Optimal Representations and the Enhanced Indispensability Argument.Manuel Barrantes - 2019 - Synthese 196 (1):247-263.
    The Enhanced Indispensability Argument appeals to the existence of Mathematical Explanations of Physical Phenomena to justify mathematical Platonism, following the principle of Inference to the Best Explanation. In this paper, I examine one example of a MEPP—the explanation of the 13-year and 17-year life cycle of magicicadas—and argue that this case cannot be used defend the EIA. I then generalize my analysis of the cicada case to other MEPPs, and show that these explanations rely on what I will call (...)
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  44. Intuition in Mathematics.Elijah Chudnoff - 2014 - In Barbara Held & Lisa Osbeck (eds.), Rational Intuition. Cambridge University Press.
    The literature on mathematics suggests that intuition plays a role in it as a ground of belief. This article explores the nature of intuition as it occurs in mathematical thinking. Section 1 suggests that intuitions should be understood by analogy with perceptions. Section 2 explains what fleshing out such an analogy requires. Section 3 discusses Kantian ways of fleshing it out. Section 4 discusses Platonist ways of fleshing it out. Section 5 sketches a proposal for resolving the main problem facing (...)
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  45. A Geneticist's Roadmap to Sanity.Gilbert B. Côté - manuscript
    World news can be discouraging these days. In order to counteract the effects of fake news and corruption, scientists have a duty to present the truth and propose ethical solutions acceptable to the world at large. -/- By starting from scratch, we can lay down the scientific principles underlying our very existence, and reach reasonable conclusions on all major topics including quantum physics, infinity, timelessness, free will, mathematical Platonism, happiness, ethics and religion, all the way to creation and a (...)
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  46. Aristotelianism in the Philosophy of Mathematics.James Franklin - 2011 - Studia Neoaristotelica 8 (1):3-15.
    Modern philosophy of mathematics has been dominated by Platonism and nominalism, to the neglect of the Aristotelian realist option. Aristotelianism holds that mathematics studies certain real properties of the world – mathematics is neither about a disembodied world of “abstract objects”, as Platonism holds, nor it is merely a language of science, as nominalism holds. Aristotle’s theory that mathematics is the “science of quantity” is a good account of at least elementary mathematics: the ratio of two heights, for (...)
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  47. Gödel's Cantorianism.Claudio Ternullo - 2015 - In Eva-Maria Engelen & Gabriella Crocco (eds.), Kurt Gödel: Philosopher-Scientist. Presses Universitaires de Provence. pp. 417-446.
    Gödel’s philosophical conceptions bear striking similarities to Cantor’s. Although there is no conclusive evidence that Gödel deliberately used or adhered to Cantor’s views, one can successfully reconstruct and see his “Cantorianism” at work in many parts of his thought. In this paper, I aim to describe the most prominent conceptual intersections between Cantor’s and Gödel’s thought, particularly on such matters as the nature and existence of mathematical entities (sets), concepts, Platonism, the Absolute Infinite, the progress and inexhaustibility of mathematics.
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  48. Problems with the Bootstrapping Objection to Theistic Activism.Christopher Menzel - 2016 - American Philosophical Quarterly 53 (1):55-68.
    According to traditional theism, God alone exists a se, independent of all other things, and all other things exist ab alio, i.e., God both creates them and sustains them in existence. On the face of it, divine "aseity" is inconsistent with classical Platonism, i.e., the view that there are objectively existing, abstract objects. For according to the classical Platonist, at least some abstract entities are wholly uncreated, necessary beings and, hence, as such, they also exist a se. The thesis (...)
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  49. Dynamical Systems Theory and Explanatory Indispensability.Juha Saatsi - 2017 - Philosophy of Science 84 (5):892-904.
    I examine explanations’ realist commitments in relation to dynamical systems theory. First I rebut an ‘explanatory indispensability argument’ for mathematical realism from the explanatory power of phase spaces (Lyon and Colyvan 2007). Then I critically consider a possible way of strengthening the indispensability argument by reference to attractors in dynamical systems theory. The take-home message is that understanding of the modal character of explanations (in dynamical systems theory) can undermine platonist arguments from explanatory indispensability.
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  50.  29
    গণিত দর্শন Gonit Dorshon.Avijit Lahiri - manuscript
    This article, written in Bengali ('Gonit Dorshon' means `philosophy of mathematics' ), briefly reviews a few of the major points of view toward mathematics and the world of mathematical entities, and interprets the philosophy of mathematics as an interaction between these. The existence of these different points of view is indicative that mathematics, in spite of being of universal validity, can nevertheless accommodate alternatives. In particular, I review the alternative viewpoints of Platonism and Intuitionism and present the case that (...)
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