Results for 'Platonism'

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  1. Platonism and Anti-Platonism in Mathematics.Mark Balaguer - 1998 - New York, NY, USA: Oxford University Press.
    In this book, Balaguer demonstrates that there are no good arguments for or against mathematical platonism. He does this by establishing that both platonism and anti-platonism are defensible views. Introducing a form of platonism ("full-blooded platonism") that solves all problems traditionally associated with the view, he proceeds to defend anti-platonism (in particular, mathematical fictionalism) against various attacks, most notably the Quine-Putnam indispensability attack. He concludes by arguing that it is not simply that we do (...)
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  2. Platonism in the Philosophy of Mathematics.Øystein Linnebo - 2009 - In Edward N. Zalta (ed.), The Stanford Encyclopedia of Philosophy.
    Platonism about mathematics (or mathematical platonism) is the metaphysical view that there are abstract mathematical objects whose existence is independent of us and our language, thought, and practices. In this survey article, the view is clarified and distinguished from some related views, and arguments for and against the view are discussed.
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  3. A platonist epistemology.Mark Balaguer - 1995 - Synthese 103 (3):303 - 325.
    A response is given here to Benacerraf's 1973 argument that mathematical platonism is incompatible with a naturalistic epistemology. Unlike almost all previous platonist responses to Benacerraf, the response given here is positive rather than negative; that is, rather than trying to find a problem with Benacerraf's argument, I accept his challenge and meet it head on by constructing an epistemology of abstract (i.e., aspatial and atemporal) mathematical objects. Thus, I show that spatio-temporal creatures like ourselves can attain knowledge about (...)
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  4.  1
    Platonist Philosophy 80 Bc to Ad 250: An Introduction and Collection of Sources in Translation.George Boys-Stones - 2017 - New York, NY: Cambridge University Press.
    'Middle' Platonism has some claim to be the single most influential philosophical movement of the last two thousand years, as the common background to 'Neoplatonism' and the early development of Christian theology. This book breaks with the tradition of considering it primarily in terms of its sources, instead putting its contemporary philosophical engagements front and centre to reconstruct its philosophical motivations and activity across the full range of its interests. The volume explores the ideas at the heart of Platonist (...)
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  5.  2
    Aquinas, Platonism, and the Knowledge of God.Patrick Quinn - 1996
    Aquinas has been traditionally seen as the Christian thinker who was opposed to Platonism and predominantly influenced by the philosophy of Aristotle. In this study, Patrick Quinn argues that the most important aspects of Aquinas' theory of knowledge can only be properly understood when his Platonism is taken into account. Although he agreed with Aristotle that human knowledge is obtained from sensory-based experience, Thomas also insisted that the human mind functions at its best when it acts independently of (...)
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  6.  7
    Platonism, Naturalism, and Mathematical Knowledge.James Robert Brown - 2011 - Routledge.
    This study addresses a central theme in current philosophy: Platonism vs Naturalism and provides accounts of both approaches to mathematics, crucially discussing Quine, Maddy, Kitcher, Lakoff, Colyvan, and many others. Beginning with accounts of both approaches, Brown defends Platonism by arguing that only a Platonistic approach can account for concept acquisition in a number of special cases in the sciences. He also argues for a particular view of applied mathematics, a view that supports Platonism against Naturalist alternatives. (...)
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  7. Platonism in the Philosophy of Mathematics.Øystein Linnebo - forthcoming - Stanford Encyclopedia of Philosophy.
    Platonism about mathematics (or mathematical platonism) isthe metaphysical view that there are abstract mathematical objectswhose existence is independent of us and our language, thought, andpractices. Just as electrons and planets exist independently of us, sodo numbers and sets. And just as statements about electrons and planetsare made true or false by the objects with which they are concerned andthese objects' perfectly objective properties, so are statements aboutnumbers and sets. Mathematical truths are therefore discovered, notinvented., Existence. There are mathematical (...)
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  8. 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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  9.  22
    Thrasyllan Platonism.Harold Tarrant - 1993 - Cornell University Press.
    Thrasyllus, best known as the Roman emperor Tiberius' astrologist, figured prominently in the development of ancient Platonism. How prominently and to what effect are questions that have puzzled philosophers down to our day; Harold Tarrant's important new book attempts to answer them.
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  10.  4
    Platonism and Anti-Platonism in Mathematics.Mark Balaguer - 1998 - Bulletin of Symbolic Logic 8 (4):516-518.
    This book does three main things. First, it defends mathematical platonism against the main objections to that view (most notably, the epistemological objection and the multiple-reductions objection). Second, it defends anti-platonism (in particular, fictionalism) against the main objections to that view (most notably, the Quine-Putnam indispensability objection and the objection from objectivity). Third, it argues that there is no fact of the matter whether abstract mathematical objects exist and, hence, no fact of the matter whether platonism or (...)
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  11.  47
    Platonism vs. Nominalism in Contemporary Musical Ontology.Andrew Kania - 2013 - In Christy Mag Uidhir (ed.), Art and Abstract Objects. Oxford University Press. pp. 197.
    In this essay I first outline contemporary Platonism about musical works – the theory that musical works are abstract objects. I then consider reasons to be suspicious of such a view, motivating a consideration of nominalist theories of musical works. I argue for two conclusions: first, that there are no compelling reasons to be a nominalist about musical works in particular, i.e. that nominalism about musical works rests on arguments for thoroughgoing nominalism, and, second, that if Platonism fails, (...)
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  12. Naturalized platonism versus platonized naturalism.Bernard Linsky & Edward N. Zalta - 1995 - Journal of Philosophy 92 (10):525-555.
    In this paper, we develop an alternative strategy, Platonized Naturalism, for reconciling naturalism and Platonism and to account for our knowledge of mathematical objects and properties. A systematic (Principled) Platonism based on a comprehension principle that asserts the existence of a plenitude of abstract objects is not just consistent with, but required (on transcendental grounds) for naturalism. Such a comprehension principle is synthetic, and it is known a priori. Its synthetic a priori character is grounded in the fact (...)
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  13. Modal Platonism: an Easy Way to Avoid Ontological Commitment to Abstract Entities.Joel I. Friedman - 2005 - Journal of Philosophical Logic 34 (3):227-273.
    Modal Platonism utilizes "weak" logical possibility, such that it is logically possible there are abstract entities, and logically possible there are none. Modal Platonism also utilizes a non-indexical actuality operator. Modal Platonism is the EASY WAY, neither reductionist nor eliminativist, but embracing the Platonistic language of abstract entities while eliminating ontological commitment to them. Statement of Modal Platonism. Any consistent statement B ontologically committed to abstract entities may be replaced by an empirically equivalent modalization, MOD(B), not (...)
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  14.  32
    Autonomy Platonism and the Indispensability Argument.Russell Marcus - 2015 - Lanham: Lexington Books.
    This book includes detailed critical analysis of a wide variety of versions of the indispensability argument, as well as a novel approach to traditional views about mathematics.
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  15. 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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  16.  4
    Rationalism, Platonism and God: A Symposium on Early Modern Philosophy.Michael Ayers (ed.) - 2007 - Published for the British Academy by Oxford University Press.
    Rationalism, Platonism and God comprises three main papers on Descartes, Spinoza and Leibniz, with extensive responses. It provides a significant contribution to the exploration of the common ground of the great early-modern Rationalist theories, and an examination of the ways in which the mainstream Platonic tradition permeates these theories. -/- John Cottingham identifies characteristically Platonic themes in Descartes's cosmology and metaphysics, finding them associated with two distinct, even opposed attitudes to nature and the human condition, one ancient and 'contemplative', (...)
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  17. Platonism and Anti-Platonism in Mathematics.Matthew Mcgrath - 2001 - Philosophy and Phenomenological Research 63 (1):239-242.
    Mark Balaguer has written a provocative and original book. The book is as ambitious as a work of philosophy of mathematics could be. It defends both of the dominant views concerning the ontology of mathematics, Platonism and Anti-Platonism, and then closes with an argument that there is no fact of the matter which is right.
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  18.  15
    From Platonism to Neoplatonism.Philip Merlan - 1953 - Martinus Nijhoff.
  19. Platonism and mathematical intuition in Kurt gödel's thought.Charles Parsons - 1995 - Bulletin of Symbolic Logic 1 (1):44-74.
    The best known and most widely discussed aspect of Kurt Gödel's philosophy of mathematics is undoubtedly his robust realism or platonism about mathematical objects and mathematical knowledge. This has scandalized many philosophers but probably has done so less in recent years than earlier. Bertrand Russell's report in his autobiography of one or more encounters with Gödel is well known:Gödel turned out to be an unadulterated Platonist, and apparently believed that an eternal “not” was laid up in heaven, where virtuous (...)
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  20.  92
    Platonism in Music: A Kind of Defense.Peter Kivy - 1983 - Grazer Philosophische Studien 19 (1):109-129.
    Various criticisms have been brought against a Platonistic construal of the musical work: that is, against the view that the musical work is a universal or kind or type, of which the performances are instances or tokens. Some of these criticisms are: that musical works possess perceptual properties and universals do not; that musical works are created and universals cannot be; that universals cannot be destroyed and musical works can; that parts of tokens of the same type can be interchanged (...)
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  21.  6
    Christian Platonism: A History.Alexander J. B. Hampton & John Peter Kenney (eds.) - 2020 - New York, NY: Cambridge University Press.
    Platonism has played a central role in Christianity and is essential to a deep understanding of the Christian theological tradition. At times, Platonism has constituted an essential philosophical and theological resource, furnishing Christianity with an intellectual framework that has played a key role in its early development, and in subsequent periods of renewal. Alternatively, it has been considered a compromising influence, conflicting with the faith's revelatory foundations and distorting its inherent message. In both cases the fundamental importance of (...)
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  22. 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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  23. Platonism in metaphysics.Mark Balaguer - 2008 - Stanford Encyclopedia of Philosophy.
    Platonism is the view that there exist such things as abstract objects — where an abstract object is an object that does not exist in space or time and which is therefore entirely non-physical and nonmental. Platonism in this sense is a contemporary view. It is obviously related to the views of Plato in important ways, but it is not entirely clear that Plato endorsed this view, as it is defined here. In order to remain neutral on this (...)
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  24.  4
    Platonism: Ficino to Foucault.Valery Rees, Anna Corrias, Francesca Maria Crasta, Laura Follesa & Guido Giglioni (eds.) - 2020 - Boston: Brill.
    Platonism, Ficino to Foucault explores some key chapters in the history Platonic philosophy from the revival of Plato in the fifteenth century to the new reading of Platonic dialogues promoted by the so-called ‘Critique of Modernity’.
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  25. Nominalist platonism.George Boolos - 1985 - Philosophical Review 94 (3):327-344.
  26.  30
    Platonism and Forms of Intelligence.Marie-Élise Zovko & John Dillon (eds.) - 2008 - Akademie Verlag.
    The volume contains a collection of papers presented at the International Symposium, which took place in Hvar, Croatia, in 2006. In recent years there has been an upsurge of interest in the study of Plato, Platonism and Neoplatonism. Taking the position that it is of vital importance to establish an ongoing dialogue among scientists, artists, academics, theologians and philosophers concerning pressing issues of common interest to humankind, this collection of papers endeavours to bridge the gap between contemporary research in (...)
  27.  57
    The Platonism vs. Nominalism Debate from a Meta-metaphysical Perspective.Guido Imaguire - 2015 - Revista Portuguesa de Filosofia 71 (2-3):375-398.
    Resumo Neste artigo o autor apresenta cinco abordagens diferentes ao debate entre o platonismo e o nominalismo: a quantificacional, a reducionista, a dependência da mente / linguagem, a extensional versus intensional, a hierárquica. Cada uma apresenta suas vantagens e desvantagens que devem ser discutidas em detalhe. Palavras-chave : existência, meta-metafísica, nominalismo, platonismoIn this paper I present five different approaches to the debate between Platonism and Nominalism: the quantifier approach, the reductionist approach, the mind / language dependence approach, the extension (...)
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  28.  75
    Mathematical platonism meets ontological pluralism?Matteo Plebani - 2017 - Inquiry: An Interdisciplinary Journal of Philosophy:1-19.
    Mathematical platonism is the view that abstract mathematical objects exist. Ontological pluralism is the view that there are many modes of existence. This paper examines the prospects for...
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  29. Gnosticism, Platonism and the late ancient world: essays in honour of John D. Turner.John D. Turner, Kevin Corrigan & Tuomas Rasimus (eds.) - 2013 - Boston: Brill.
    Part I. Gnosticism and other religious movements of antiquity -- part II. Crossing boundaries : Gnosticism and Platonism.
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  30.  21
    Mathematical platonism meets ontological pluralism?Matteo Plebani - 2020 - Inquiry: An Interdisciplinary Journal of Philosophy 63 (6):655-673.
    Mathematical platonism is the view that abstract mathematical objects exist. Ontological pluralism is the view that there are many modes of existence. This paper examines the prospects for plural platonism, the view that results from combining mathematical platonism and ontological pluralism. I will argue that some forms of platonism are in harmony with ontological pluralism, while other forms of platonism are in tension with it. This shows that there are some interesting connections between the (...)–antiplatonism dispute and recent debates over ontological pluralism. (shrink)
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  31.  2
    The Platonism of Marsilio Ficino: A Study of His Phaedrus Commentary, Its Sources and Genesis.Michael J. B. Allen - 1984
  32.  41
    Mathematical Platonism and Dummettian Anti‐Realism.John McDowell - 1989 - Dialectica 43 (1‐2):173-192.
    SummaryThe platonist, in affirming the principle of bivalence for sentences for which there is no decision procedure, disconnects their truth‐conditions from conditions that would enable us to prove them ‐ as if Goldbach's conjecture, say, might just happen to be true. According to Dummett, what has gone wrong here is that the meaning of the relevant sentences has been conceived so as to go beyond what could be learned in learning to use them, or displayed in using them competently. Dummett (...)
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  33. 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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  34.  1
    Platonism and Christian Thought in Late Antiquity.Panagiotis G. Pavlos, Lars Fredrik Janby, Eyjolfur Emilsson & Torstein Tollefsen (eds.) - 2019 - London: Taylor & Francis.
    Platonism and Christian Thought in Late Antiquity examines the various ways in which Christian intellectuals engaged with Platonism both as pagan competitors 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 the transmission (...)
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  35.  6
    Thrasyllan Platonism.Harold Tarrant - 2020 - Cornell University Press.
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  36.  20
    Platonism and Naturalism: The Possibility of Philosophy.Lloyd P. Gerson - 2020 - Cornell University Press.
    "An account of the central tradition in the history of philosophy, Platonism, along with the class of philosophical positions collectively known as Naturalism and the 'anti-Platonism' of Naturalism both in antiquity and in contemporary philosophy"--.
  37. 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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  38.  78
    ‘Mathematical Platonism’ Versus Gathering the Dead: What Socrates teaches Glaucon &dagger.Colin McLarty - 2005 - Philosophia Mathematica 13 (2):115-134.
    Glaucon in Plato's _Republic_ fails to grasp intermediates. He confuses pursuing a goal with achieving it, and so he adopts ‘mathematical platonism’. He says mathematical objects are eternal. Socrates urges a seriously debatable, and seriously defensible, alternative centered on the destruction of hypotheses. He offers his version of geometry and astronomy as refuting the charge that he impiously ‘ponders things up in the sky and investigates things under the earth and makes the weaker argument the stronger’. We relate his (...)
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  39. Platonism and the Origins of Modernity: The Platonic Tradition and the Rise of Modern Philosophy.Douglas Hedley & Sarah Hutton (eds.) - 2008 - Springer.
    International Archives of the History of Ideas Archives internationales d'histoire des idées, Vol. 196. -/- Introduction, S. Hutton; Nicholas of Cusa : Platonism at the Dawn of Modernity, D. Moran; At Variance: Marsilio Ficino Platonism And Heresy, M.J.B. Allen; Going Naked into the Shrine:Herbert, Plotinus and the Consructive Metaphor, S.R.L.Clark; Commenius, Light Metaphysics and Educational Reform, J. Rohls ; Robert Fludd’s Kabbalistic Cosmos, W. Schmidt-Biggeman; Reconciling Theory and Fact:The Problem of ‘Other Faiths’ in Lord Herbert and the Cambridge (...)
     
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  40. Platonism and the causal theory of knowledge.Mark Steiner - 1973 - Journal of Philosophy 70 (3):57-66.
  41. 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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  42. 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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  43.  6
    From Plato to Platonism.Lloyd P. Gerson - 2014 - Ithaca: Cornell University Press.
    Was Plato a Platonist? While ancient disciples of Plato would have answered this question in the affirmative, modern scholars have generally denied that Plato's own philosophy was in substantial agreement with that of the Platonists of succeeding centuries. In From Plato to Platonism, Lloyd P. Gerson argues that the ancients are correct in their assessment. He arrives at this conclusion in an especially ingenious manner, challenging fundamental assumptions about how Plato's teachings have come to be understood. Through deft readings (...)
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  44.  92
    Semi-Platonist Aristotelianism: Review of James Franklin, An Aristotelian Realist Philosophy of Mathematics: Mathematics as the Science of Quantity and Structure[REVIEW]Catherine Legg - 2015 - Australasian Journal of Philosophy 93 (4):837-837.
    This rich book differs from much contemporary philosophy of mathematics in the author’s witty, down to earth style, and his extensive experience as a working mathematician. It accords with the field in focusing on whether mathematical entities are real. Franklin holds that recent discussion of this has oscillated between various forms of Platonism, and various forms of nominalism. He denies nominalism by holding that universals exist and denies Platonism by holding that they are concrete, not abstract - looking (...)
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    From Platonism to Neoplatonism. [REVIEW]R. A. - 1956 - Review of Metaphysics 9 (4):707-708.
    An argument for the historical continuity of Neo-Platonism and the Early Academy, resting principally on the positions held by 1) Posidonius on the relation between the soul and mathematics, 2) Speusippus on the relation between the One and the material principle, and 3) Boethius on the relation between degrees of being and degrees of knowledge. There is also an analysis of the elements of Neo-Platonism in Aristotle's metaphysics. A scholarly and readable book, certain to be controversial.--A. R.
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  46.  18
    Mathematical platonism and the causal relevance of abstracta.Barbara Gail Montero - 2022 - Synthese 200 (6):1-18.
    AbstractMany mathematicians are platonists: they believe that the axioms of mathematics are true because they express the structure of a nonspatiotemporal, mind independent, realm. But platonism is plagued by a philosophical worry: it is unclear how we could have knowledge of an abstract, realm, unclear how nonspatiotemporal objects could causally affect our spatiotemporal cognitive faculties. Here I aim to make room in our metaphysical picture of the world for the causal relevance of abstracta.
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  47. 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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    Platonism about Abstracta.Travis Dumsday - 2021 - Philosophia Christi 23 (1):141-158.
    I present a new argument to the effect that platonism about abstract entities undermines metaphysical naturalism and provides some support to theism. I further suggest that there are ways of extending this line of reasoning to point toward one or another more specific varieties of Christian theism.
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  49.  32
    Aristotle and Other Platonists.Lloyd P. Gerson - 2005 - Cornell University Press.
    Aristotle and Other Platonists concludes with an assessment of some of the philosophical results of acknowledging harmony."--BOOK JACKET.
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  50.  4
    Platonism and the English Imagination.Anna Baldwin, Sarah Hutton & Senior Lecturer School of Humanities Sarah Hutton - 1994 - Cambridge University Press.
    This is the first comprehensive overview of the influence of Platonism on the English literary tradition, showing how English writers, including Chaucer, Shakespeare, Milton, Blake, Wordsworth, Yeats, Pound and Iris Murdoch, used Platonic themes and images within their own imaginative work.
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