Results for 'Renaissance Platonism'

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  1. Mystical Theology and Platonism in the Time of Cusanus.Jason Aleksander, Michael E. Moore, Sean Hannan & Joshua Hollmann (eds.) - 2023 - Leiden: Brill.
    Mystical Theology and Platonism in the Time of Cusanus engages with the history of mystical theology and Neoplatonic philosophy through the lens of the 15th century philosopher and theologian, Nicholas of Cusa. The volume comprises nineteen essays that break down the barriers between medieval and Renaissance studies, reinterpreting Cusanus’ place in the history of thought by exploring the archive that informed his thinking, while also interrogating his works by exploring them from the standpoint of their later reception by (...)
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  2. Η συμβολή των υστεροβυζαντινών λογίων στο δυτικό αριστοτελισμό του 15ου αιώνα.Georgios Steiris - 2017 - Dia-Logos 7:170-199.
    The Contribution of Byzantine Scholars to Renaissance Aristotelianism It is widely known that the Byzantine scholars who fled to Italy during the fifteenth century contributed to Renaissance philosophy. They brought with them manuscripts and produced editions and translations of Greek philosophical texts. Despite the common view that their works were seminal for the development of Renaissance Platonism, a closer examination of the texts and their activity proves that they were mainly interested in Aristotelian philosophy. The vast (...)
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  3. Le fonti platoniche di Federico Pendasio: note sulla diffusione nel ’500 degli Scholia al Fedro di Ermia Alessandrino e dei Commenti al Fedone e al Filebo di Olimpiodoro e Damascio.Simone Fellina - 2022 - Noctua 9 (2):188-221.
    Federico Pendasio was a highly esteemed professor at the universities of Padua and Bologna. His contemporaries as well as modern scholars have recognized his commitment both to Aristotle and Plato. The aim of this paper is to provide a contribution to the study of the dissemination of Platonism in sixteenth-century university teaching by examining Pendasio’s Platonic sources, in particular Olympiodorus’s and Damascius’s commentaries on Plato’s Phaedo, Damascius’s commentary on the Philebus and Hermias Alexandrinus’s Scholia on the Phaedrus. These works (...)
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  4. Platone a Ferrara: il De providentia ad sententiam Platonis et Platonicorum liber unus di Tommaso Giannini.Simone Fellina - 2019 - In Fabrizio Amerini, Simone Fellina & Andrea Strazzoni (eds.), _Tra antichità e modernità. Studi di storia della filosofia medievale e rinascimentale_. Raccolti da Fabrizio Amerini, Simone Fellina e Andrea Strazzoni. Parma: E-theca OnLineOpenAccess Edizioni. pp. 466-553.
    Tommaso Giannini (1556-1638) was a prominent professor at the Ferrara Studium between the sixteenth and the seventeenth century. Probably influenced by Platonic sympathies nurtured by the Court and partly by the University milieu, in 1587 he published his first work titled De providentia ad sententiam Platonis et Platonicorum liber unus, which was a catalyst for his academic career. His De providentia displays a large amount of sources always tacitly used: Marsilio Ficino, Jacques Charpentier, Giulio Serina, Stefano Tiepolo, Teofilo Zimara, Bessarion, (...)
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  5. Theurgy and the Soul: The Neoplatonism of Iamblichus.Gregory Shaw - 1971 - Pennsylvania State University Press.
    _Theurgy and the Soul_ is a study of Iamblichus of Syria, whose teachings set the final form of pagan spirituality prior to the Christianization of the Roman Empire. Gregory Shaw focuses on the theory and practice of theurgy, the most controversial and significant aspect of Iamblichus's Platonism. Theurgy literally means "divine action." Unlike previous Platonists who stressed the elevated status of the human soul, Iamblichus taught that the soul descended completely into the body and thereby required the performance of (...)
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  6. Il minimo, l’unità, e l’universo infinito nella cosmologia vitalistica di Giordano Bruno.Marina P. Banchetti - 2018 - In Andrea Muni (ed.), Platone nel pensiero moderno e contemporaneo - Volume XV. Limina Mentis. pp. 1-20.
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  7. Absolute Infinity, Knowledge, and Divinity in the Thought of Cusanus and Cantor (ABSTRACT ONLY).Anne Newstead - 2024 - In Mirosław Szatkowski (ed.), Ontology of Divinity. De Gruyter. pp. 561-580.
    Renaissance philosopher, mathematician, and theologian Nicholas of Cusa (1401-1464) said that there is no proportion between the finite mind and the infinite. He is fond of saying reason cannot fully comprehend the infinite. That our best hope for attaining a vision and understanding of infinite things is by mathematics and by the use of contemplating symbols, which help us grasp "the absolute infinite". By the late 19th century, there is a decisive intervention in mathematics and its philosophy: the philosophical (...)
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  8. "Infinity, Knowledge, and Divinity in the Thought of Cusanus and Cantor" (Manuscript draft of first page of forthcoming book chapter ).Anne Newstead (ed.) - forthcoming - Berlin: De Gruyter.
    Renaissance philosopher, mathematician, and theologian Nicholas of Cusa (1401-1464) said that there is no proportion between the finite mind and the infinite. He is fond of saying reason cannot fully comprehend the infinite. That our best hope for attaining a vision and understanding of infinite things is by mathematics and by the use of contemplating symbols, which help us grasp "the absolute infinite". By the late 19th century, there is a decisive intervention in mathematics and its philosophy: the philosophical (...)
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  9. Nicholas of Cusa in Ages of Transition: Essays in Honor of Gerald Christianson.Thomas Izbicki, Jason Aleksander & Donald Duclow (eds.) - 2018 - Leiden: E. J. Brill.
    Nicholas of Cusa (1401-1464) was active during the Renaissance, developing adventurous ideas even while serving as a churchman. The religious issues with which he engaged – spiritual, apocalyptic and institutional – were to play out in the Reformation. These essays reflect the interests of Cusanus but also those of Gerald Christianson, who has studied church history, the Renaissance and the Reformation. The book places Nicholas into his times but also looks at his later reception. The first part addresses (...)
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  10. Spenser's Poetic Phenomenology: Humanism and the Recovery of Place.William D. Melaney - 1995 - In Anna-Teresa Tymieniecka (ed.), XLIV. Springer. pp. 35-44.
    The present paper defends the thesis that Spenser's recovery of place, as enacted in 'The Faerie Queene,' Book VI, can be linked in a direct way to his use of a poetic phenomenology which informs and clarifies his work as an epic writer. Spenser's "Book of Courtesy" enacts a Neo-Platonic movement from the lower levels of temporal existence to an exalted vision of spiritual perfection. The paper explores this movement along phenomenological lines as a mysterious adventure that embraces self and (...)
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  11. L'etica moderna. Dalla Riforma a Nietzsche.Sergio Cremaschi - 2007 - Roma RM, Italia: Carocci.
    This book tells the story of modern ethics, namely the story of a discourse that, after the Renaissance, went through a methodological revolution giving birth to Grotius’s and Pufendorf’s new science of natural law, leaving room for two centuries of explorations of the possible developments and implications of this new paradigm, up to the crisis of the Eighties of the eighteenth century, a crisis that carried a kind of mitosis, the act of birth of both basic paradigms of the (...)
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  12. More, Henry.Andrea Strazzoni - 2022 - Encyclopedia of Renaissance Philosophy.
    Henry More was an expounder of Cambridge Platonism, as he largely relied on a Platonicinspired standpoint in pursuing his aims: the demonstration of the immortality of soul, the critique of atheism and religious enthusiasm. He maintains that soul emanates from God (being therefore not created and pre-existing body) and argues for the existence of a spirit of nature as means to explain natural phenomena, which cannot be accounted for only in mechanical terms. Moreover, he argues for the extended nature (...)
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  13. Cudworth, Ralph.Andrea Strazzoni - 2022 - Encyclopedia of Renaissance Philosophy.
    Ralph Cudworth was an expounder of “Cambridge Platonism.” His main tenet is that natural phenomena cannot be explained only by the principles of mechanism; therefore, the existence of a “plastic nature,” which orders the world in accordance with divine decrees, has to be postulated. The order of creation, in turn, does not depend only on divine will but also on the essences present in God’s intellect. These essences can be known through the notions innate to human soul, which recollects (...)
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  14. The Origin of Arthur O. Lovejoy’s “Great Chain of Being” and Its Influence on The Western Tradition.Asım Kaya - 2022 - Felsefe Arkivi 57:39-62.
    The great chain of being is an ontological conception in which all beings, from inanimate things to God, are ranked on a scale according to their perfectness. This hierarchical scheme, though widely known in the history of ideas, was systematically addressed by Arthur Lovejoy in 1936. The great chain of being as formulated by Lovejoy is composed of three main principles, whose roots can be found in Plato and Aristotle’s philosophies. These principles are “the principle of plenitude”, “the principle of (...)
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  15. Francesco Cattani da Diacceto: la filosofia dell’amore e le critiche a Giovanni Pico Della Mirandola.Simone Fellina - 2014 - Noctua 1 (1):28-65.
    Among the main themes introduced by the Ficinian renovatio platonica, love and beauty are certainly ones of the most outstanding and philosophically relevant for the metaphysical, cosmological and anthropological doctrines they convey. Pupil and recognised successor of Marsilio Ficino, Francesco Cattani da Diacceto is the author of an organic and complex philosophy of love and his contribution is extremely significant amid De amore Renaissance treatises. Cattani’s attitude is twofold and ambiguous: he heavily depends on Pico and on his Commento (...)
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  16. Mikuláš Kopernik jako filosof. [REVIEW]Daniel Špelda - 2015 - Teorie Vědy / Theory of Science 37 (3):361-366.
    Recenze: Matjaž Vesel, Copernicus: Platonist Astronomer-Philosopher. Cosmic Order, the Movement of the Earth, and the Scientific Revolution. Frankfurt am Main: Peter Lang 2014, 541 s.
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  17. Henry More.Alexander J. B. Hampton - 2015 - In Hans-Josef Klauck (ed.), Encyclopedia of the Bible and its Reception: Lectionary-Lots. De Gruyter.
    More, Henry (1614-1687), an English philosopher, theologian and poet. The most important member of the Cambridge Platonists, a group of seventeenth century thinkers associated with the University of Cambridge. Accepting of the developments of Galilean science, Cartesianism and atomism, they sought an alternative to the faltering philosophical foundation of Aristotelianism by looking to the Platonic tradition, viewed through the framework of Renaissance perennial philosophy. More’s Christian apologetics argued for the existence of God, the immortality of the soul, and the (...)
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  18. 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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  19. Platonism and Intra-mathematical Explanation.Sam Baron - forthcoming - Philosophical Quarterly.
    I introduce an argument for Platonism based on intra-mathematical explanation: the explanation of one mathematical fact by another. The argument is important for two reasons. First, if the argument succeeds then it provides a basis for Platonism that does not proceed via standard indispensability considerations. Second, if the argument fails it can only do so for one of three reasons: either because there are no intra-mathematical explanations, or because not all explanations are backed by dependence relations, or because (...)
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  20. 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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  21. 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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  22. 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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  23. 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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  24. 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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  25. Cross-Temporal Necessitation? 
A Platonist Reply to Leininger.Pieter Thyssen - manuscript
    According to Leininger, presentists and growing blockers cannot explain why past and present regularities persist in the future. In order to do so, they would have to appeal to enforcers, such as causation, laws or dispositions. But in a world with no future, these enforcers are powerless and cannot guarantee future regularity. I disagree and argue that Leininger’s coordination problem can be met by distinguishing type- from token-level necessitation. Whereas token-level necessitation is cross-temporal and subject to Leininger’s coordination problem, type-level (...)
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  26. 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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  27. Platonism in Lotze and Frege Between Psyschologism and Hypostasis.Nicholas Stang - 2018 - In Sandra Lapointe (ed.), Logic from Kant to Russell. New York: 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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  28. Renaissance humanism through William Shakeaspere’s Hamlet.Trang Do - 2023 - Kalagatos 20 (2):eK23045.
    The article focuses on a philosophical issue of the Renaissance humanism in William Shakespeare's Hamlet. The humanist tradition originated in Greece with the famous statement “Of all things man is the measure” (Protagoras of Abdera, 485-415 BCE), but it was not until the Renaissance that it reached its peak and became a doctrine. The article focuses on the humanism of the Renaissance, with its glorification of the image of the "giant man," which is mainly expressed in the (...)
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  29. 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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  30. Platonism, Moral Nostalgia, and the “City of Pigs”.Rachel Barney - 2002 - Proceedings of the Boston Area Colloquium of Ancient Philosophy 17 (1):207-236.
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  31. Platonism and Philosophical Humanism on the Continent.Christia Mercer - 2002 - In Steven Nadler (ed.), A Companion to Early Modern Philosophy. Malden, MA, USA: Blackwell. pp. 25–44.
    This chapter contains section titled: Historical Background Early Modern Eclecticism and Philosophical Humanism Early Modern Platonism Conclusion.
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  32. Platonism, Spinoza and the History of Deconstruction.Gordon Hull - 2009 - In Kailash C. Baral & R. Radhakrishnan (eds.), Theory after Derrida: essays in critical praxis. New York: 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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  33. An epistemology for the Platonist? Platonism, Field’s Dilemma, and Judgment-Dependent Truth.Tommaso Piazza - 2011 - Grazer Philosophische Studien 83 (1):67-92.
    According to Hartry Field, the mathematical Platonist is hostage of a dilemma. Faced with the request of explaining the mathematicians’ reliability, one option could be to maintain that the mathematicians are reliably responsive to a realm populated with mathematical entities; alternatively, one might try to contend that the mathematical realm conceptually depends on, and for this reason is reliably reflected by, the mathematicians’ (best) opinions; however, both alternatives are actually unavailable to the Platonist: the first one because it is in (...)
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  34. 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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  35. 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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  36. Platonism and the Apriori in Thought Experiments.Thomas Grundmann - 2018 - In Michael T. Stuart, Yiftach Fehige & James Robert Brown (eds.), The Routledge Companion to Thought Experiments. London: Routledge.
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  37. 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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  38. Renaissance Studies in Greece.Georgios Steiris - 2012 - Kunsttexte.De, Nr. 3, 2012 3:1-5.
    Since the 19th century Renaissance studies gained gradually autonomy from the Medieval and the Early Modern studies. In countries like Greece, where the traditional view was that no Renaissance occurred in the Balkan Peninsula during the 14th -16th century as a result of the Turkish occupation, Renaissance studies had to struggle to gain autonomy and distinct presence in the curricula of Greek universities. This article aims to present the current status of the Renaissance studies in the (...)
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    Renaissance Aristotelianism and the Conciliatory Approach to Individuation in the Early Leibniz.Andreas Blank - 2016 - In Leibniz’ Rezeption der Aristotelischen Logik und Metaphysik. Hildesheim, Germany: pp. 257-272.
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  40. The renaissance of epistemology: 1914–1945.L. Floridi - 2003 - In Thomas Baldwin (ed.), The Cambridge History of Philosophy, 1870-1945. Cambridge University Press.
    The renaissance of epistemology between the two world wars forms a bridge between early modern and contemporary philosophy of knowledge. This paper traces the resurgence of interest in epistemology at the turn of the century, as a reaction against the nineteenth-century development of Neo-Kantian and Neo-Hegelian idealism, through the interwar renaissance of epistemology, prompted by major advances in mathematics, logic, and physics, and its ultimate transformation from a theory of ideas and judgement into a theory of propositional attitudes, (...)
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  41.  71
    Renaissance: Islamic or Italian Precedence?H. Matallo Junior - manuscript
    The paper seeks to show that the period between the years 756 and 1031, a period officially recognized as the domination of the Umayyad dynasty in the Iberian Peninsula, saw the emergence of the most important movement for the recovery of classical Greek works known, and offered the foundations for the second Renaissance, the Italian. It also shows that translation is a process that can fundamentally alter original works, as they depend on the translator's interpretation, as well as the (...)
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    Scientific Platonism.Alexander Paseau - 2007 - In Mary Leng, Alexander Paseau & Michael Potter (eds.), Mathematical Knowledge. Oxford University Press. pp. 123-149.
    Does natural science give us reason to believe that mathematical statements are true? And does natural science give us reason to believe in some particular metaphysics of mathematics? These two questions should be firmly distinguished. My argument in this chapter is that a negative answer to the second question is compatible with an affirmative answer to the first. Loosely put, even if science settles the truth of mathematics, it does not settle its metaphysics.
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  43. 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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  44. 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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  45. Humanist Platonism in Seventeenth-Century Germany.Christia Mercer - 1999 - London Studies in the History of Philosophy 1:238-58.
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  46. Scientia formalitatum. The Emergence of a New Discipline in the Renaissance.Claus A. Andersen - 2024 - Noctua 11 (2):200-257.
    The Formalist tradition in late-scholastic philosophy has gone unnoticed in standard historiography. This article’s overall objective is to add the Formalist tradition to what we know about Renaissance philosophy. I first show how the Formalist tradition was born out of some innovative considerations of hierarchies of distinctions in the wake of the Franciscan John Duns Scotus’s teaching on the formal distinction in the beginning of the fourteenth century (especially Francis of Meyronnes’s model of four distinctions and Petrus Thomae’s more (...)
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  47. The renaissance of epistemology 1919-1945.Luciano Floridi - 2003 - In Thomas Baldwin (ed.), The Cambridge History of Philosophy 1870-1945. Cambridge, UK: pp. 533-543.
    The renaissance of epistemology between the two world wars forms a bridge between early modern and contemporary philosophy of knowledge. This paper traces the resurgence of interest in epistemology at the turn of the century, as a reaction against the nineteenth-century development of Neo-Kantian and Neo-Hegelian idealism, through the interwar renaissance of epistemology, prompted by major advances in mathematics, logic, and physics, and its ultimate transformation from a theory of ideas and judgement into a theory of propositional attitudes, (...)
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  48. Platonism. Contributions of the 43rd International Wittgenstein Symposium.Herbert Hrachovec & Jakub Mácha (eds.) - 2022 - ALWS.
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  49. 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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  50. Uninstantiated Properties and Semi-Platonist Aristotelianism.James Franklin - 2015 - Review of Metaphysics 69 (1):25-45.
    A problem for Aristotelian realist accounts of universals (neither Platonist nor nominalist) is the status of those universals that happen not to be realised in the physical (or any other) world. They perhaps include uninstantiated shades of blue and huge infinite cardinals. Should they be altogether excluded (as in D.M. Armstrong's theory of universals) or accorded some sort of reality? Surely truths about ratios are true even of ratios that are too big to be instantiated - what is the truthmaker (...)
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