Results for 'Platonic number'

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  1.  81
    Platonic Number in the Parmenides and Metaphysics XIII.Dougal Blyth - 2000 - International Journal of Philosophical Studies 8 (1):23 – 45.
    I argue here that a properly Platonic theory of the nature of number is still viable today. By properly Platonic, I mean one consistent with Plato's own theory, with appropriate extensions to take into account subsequent developments in mathematics. At Parmenides 143a-4a the existence of numbers is proven from our capacity to count, whereby I establish as Plato's the theory that numbers are originally ordinal, a sequence of forms differentiated by position. I defend and interpret Aristotle's report (...)
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  2.  22
    Platonic Forms in the Theaetetus.R. Hackforth - 1957 - Classical Quarterly 7 (1-2):53-.
    The complete, or almost complete, absence from the Theaetetus of any unequivocal reference to Platonic Forms is a problem, the solution of which appeared to many scholars to have been found and convincingly presented in the late Professor Gornford's book Plato's Theory of Knowledge, published in 1935. Put briefly, his contention was that the main purpose of the dialogue is to show that no acceptable definition of knowledge can be reached if the Forms are left out of account, that (...)
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  3.  73
    Russell as a Platonic Dialogue: The Matter of Denoting.J. Alberto Coffa - 1980 - Synthese 45 (1):43-70.
    At first russell thought (p) that whatever a proposition is about must be a constituent of it. Then, Around 1900, He discovered denoting concepts and realized that a proposition could be about something and have only its denoting concept as constituent. However, A number of remarks that he made through the years can only be understood as inspired by (p). In particular, The arguments offered in "on denoting" against the doctrine of denotation of "principles" are grounded on (p).
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  4. We May Venture to Say, That the Number of Platonic Readers is Considerable: Richard Price, Joseph Priestley and the Platonic Strain in Eighteenth Century Thought.Martha K. Zebrowski - 2000 - Enlightenment and Dissent 19:193-213.
  5. Platonic Division and the Origins of Aristotelian Logic.Justin Vlasits - 2017 - Dissertation, University of California, Berkeley
    Aristotle's syllogistic theory, as developed in his Prior Analytics, is often regarded as the birth of logic in Western philosophy. Over the past century, scholars have tried to identify important precursors to this theory. I argue that Platonic division, a method which aims to give accounts of essences of natural kinds by progressively narrowing down from a genus, influenced Aristotle's logical theory in a number of crucial respects. To see exactly how, I analyze the method of division as (...)
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  6. The Third Way: New Directions in Platonic Studies.Francisco Gonzalez - 1995 - Rowman & Littlefield Publishers.
    The study of Plato's dialogues has traditionally oscillated between two paradigms: one that portrays the dialogues as treatises expounding doctrines and one that sees them as purely skeptical, rhetorical, or literary. This collection of new essays by twelve noted Plato scholars illustrates the fruitfulness of breaking away from those paradigms, which have divided Platonic scholarship and led it to a number of dead ends. While the essays are diverse in their approaches, each seeks to find a 'third way' (...)
     
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  7. Platonic Drama and its Ancient Reception.Nikos G. Charalabopoulos - 2012 - Cambridge University Press.
    As prose dramatic texts Plato's dialogues would have been read by their original audience as an alternative type of theatrical composition. The 'paradox' of the dialogue form is explained by his appropriation of the discourse of theatre, the dominant public mode of communication of his time. The oral performance of his works is suggested both by the pragmatics of the publication of literary texts in the classical period and by his original role as a Sokratic dialogue-writer and the creator of (...)
     
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  8.  39
    Plotinus on Number.Svetla Slaveva-Griffin - 2009 - Oxford University Press.
    Ancient Greek Philosophy routinely relied upon concepts of number to explain the tangible order of the universe. Plotinus' contribution to this tradition, however, has been often omitted, if not ignored. The main reason for this, at first glance, is the Plotinus does not treat the subject of number in the Enneads as pervasively as the Neopythagoreans or even his own successors Lamblichus, Syrianus, and Proclus. Nevertheless, a close examination of the Enneads reveals that Plotinus systematically discusses number (...)
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  9. In Being One Only One? The Argument for the Uniqueness of the Platonic Forms.Anna Marmodoro - 2008 - Apeiron (4):211-227.
    ‘Is being one only one? – The Argument for the Uniqueness of Platonic Forms’ Abstract: Each Form is unique in number; no two numerically distinct Forms can share the same nature. Plato argues for this claim in Republic X. I identify the metaphysical principles Plato presupposes in the premises of the argument, by examining the reasoning behind them, and offer a reconstruction of the argument showing the principles in use. I argue that the metaphysical significance of the argument’s (...)
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  10.  8
    The Wise Master Builder: Platonic Geometry in Plans of Medieval Abbeys and Cathedrals. [REVIEW]John Heilbron - 2002 - Isis 93:111-112.
    The main conclusion of Nigel Hiscock's important but ill‐arranged book is that the ground plans of abbeys and cathedrals of the tenth and eleventh centuries incorporate Platonic wisdom—hence the “wise” in the title catchwords, which come from Paul's first letter to the Corinthians . There Paul likens himself to a sapiens architectus who lays the foundations on which others erect the building. In three of the four translations in The Complete Parallel Bible, however, Paul does not declare himself wise (...)
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  11.  2
    Syrianus on the Platonic Tradition of the Separate Existence of Numbers.Melina G. Mouzala - 2015 - Peitho 6 (1):167-194.
    This paper analyzes and explains certain parts of Syrianus’s Commentary on book M of Aristotle’s Metaphysics, which details Syrianus’s response to Aristotle’s attack against the Platonic position of the separate existence of numbers. Syrianus defends the separate existence not only of eidetic but also of mathematical numbers, following a line of argumentation which involves a hylomorphic approach to the latter. He proceeds with an analysis of the mathematical number into matter and form, but his interpretation entails that form (...)
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  12. Idea and Intuition: On the Perceptibility of the Platonic Ideas in Arthur Schopenhauer.Jason Costanzo - 2009 - Dissertation, KU Leuven
    In this thesis, I examine the perceptibility of the Platonic Ideas in the thought of Arthur Schopenhauer. The work is divided into four chapters, each focusing and building upon a specific aspect related to this question. The first chapter (“"Plato and the Primacy of Intellect"”) deals with Schopenhauer’s interpretation specific to Platonic thought. I there address the question of why it is that Schopenhauer should consider Plato to have interpreted the Ideas as 'perceptible', particularly in view of evidence (...)
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  13.  1
    Idea and Intuition: On the Perceptibility of the Platonic Ideas in the Thought of Arthur Schopenhauer.Jason Costanzo - 2009 - Dissertation, KU Leuven
    IDEA AND INTUITION On the Perceptibility of the Platonic Ideas in the Thought of Arthur Schopenhauer In this work, I examine the perceptibility of the Platonic Ideas in the thought of Arthur Schopenhauer. The work is divided into four chapters, each focusing and building upon a specific aspect related to this questi on. The first chapter deals with Scho penhauer s interpretation specific to Platonic thought. I there address the question of why it is that Schopenhauer should (...)
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  14. The Idea of the Good in Platonic-Aristotelian Philosophy.Hans-Georg Gadamer - 1988 - Yale University Press.
    One of this century’s most important philosophers here focuses on Plato’s _Protagoras, Phaedo, Republic, _and _Philebus_ and on Aristotle’s three moral treatises to show the essential continuity of Platonic and Aristotelian reflection on the nature of the good. “Well translated and usefully annotated by P. Christopher Smith…. Gadamer’s book exhibits a broad and grand vision as well as a great love for the Greek thinkers.”—Alexander Nehemas, _New York__ Times Book Review_ “The translation is highly readable. The translator’s introduction and (...)
     
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  15.  1
    Dilemma About Number.Prokop Sousedík & David Svoboda - 2018 - Proceedings of the XXIII World Congress of Philosophy 56:41-46.
    The paper deals with the ontological status of number. The authors are convinced that it is useful to discuss the concept of number within the framework of the Aristotelian division of being into substance and accident. Number can thus be taken as ens in se or ens in alio. Aristotle and Thomas Aquinas believed that number is an accident and their concept is explained in the first part of the paper. In the second part it is (...)
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  16.  25
    Heraclitus, the Becoming and the Platonic-Aristotelian Doxography.Francesco Fronterotta - 2015 - Archai: Revista de Estudos Sobre as Origens Do Pensamento Ocidental 15:117-128.
    The purpose of this paper is to examine heraclitean fragments evoking the metaphor of rivers and waters flowing, usually associated by tradition to the image of reality in becoming and the conception of nature as a more or less disordered streaming. These fragments are certainly among the most celebrated and lucky fragments of the philosopher of Ephesus, which can be explained by the fact that they have been used since Plato and Aristotle, to represent in an exemplary way the philosophical (...)
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  17. Plotinus on Number[REVIEW]Luc Brisson - 2010 - International Journal of the Platonic Tradition 4 (1):86-88.
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  18.  11
    Svetla Slaveva-Griffin, Plotinus on Number, Oxford (Oxford University Press) 2009. ISBN13: 9780195377194; ISBN10: 0195377192. [REVIEW]Luc Brisson - 2010 - International Journal of the Platonic Tradition 4 (1):86-88.
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  19. Le Nombre de Platon Essai d'Exégèse Et D'Histoire.Auguste Diès & Plato - 1936 - Imprimerie Nationale.
  20. On Aristotle's "Metaphysics 13-14". Syrianus - 2006 - Cornell University Press.
  21.  29
    Plato’s Myth of the Reversed Cosmos.Stanley Rosen - 1979 - Review of Metaphysics 33 (1):59 - 85.
    EVERY Platonic dialogue is a tangled web. The Sophist and the Statesman, in which the paradigm of weaving plays a central role, are especially complex in structure. In this paper, I shall look at the Statesman from a variety of perspectives, following distinct but connected threads in the web, and always heading toward, or with an eye upon, the myth of the reversed cosmos. It will be necessary for me to make a considerable number of small points and (...)
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  22. The Correspondence Theory of Truth: An Essay on the Metaphysics of Predication.Andrew Newman - 2002 - Cambridge University Press.
    This work presents a version of the correspondence theory of truth based on Wittgenstein's Tractatus and Russell's theory of truth and discusses related metaphysical issues such as predication, facts and propositions. Like Russell and one prominent interpretation of the Tractatus it assumes a realist view of universals. Part of the aim is to avoid Platonic propositions, and although sympathy with facts is maintained in the early chapters, the book argues that facts as real entities are not needed. It includes (...)
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  23. The Role of Diagrams in Mathematical Arguments.David Sherry - 2008 - Foundations of Science 14 (1-2):59-74.
    Recent accounts of the role of diagrams in mathematical reasoning take a Platonic line, according to which the proof depends on the similarity between the perceived shape of the diagram and the shape of the abstract object. This approach is unable to explain proofs which share the same diagram in spite of drawing conclusions about different figures. Saccheri’s use of the bi-rectangular isosceles quadrilateral in Euclides Vindicatus provides three such proofs. By forsaking abstract objects it is possible to give (...)
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  24.  73
    Plato's Philosophy of Mathematics.Paul Pritchard - 1995 - Academia Verlag.
    Available from UMI in association with The British Library. ;Plato's philosophy of mathematics must be a philosophy of 4th century B.C. Greek mathematics, and cannot be understood if one is not aware that the notions involved in this mathematics differ radically from our own notions; particularly, the notion of arithmos is quite different from our notion of number. The development of the post-Renaissance notion of number brought with it a different conception of what mathematics is, and we must (...)
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  25. Греческая Арифмология: Пифагор Или Платон?Leonid Zhmud - 2017 - Schole 11 (2):428-459.
    This essay considers the origins of the arithmological genre, the first specimen of which was an anonymous Neopythagorean treatise of the first century BCE. Arithmology as a special genre of philosophical writings dealing with the properties of the first ten numbers should be distinguished from number symbolism, which is a universal cultural phenomenon related to individual significant numbers. As our analysis shows, the philosophical foundations of arithmology were laid down in the treatise of Plato’s successor Speusippus On Pythagorean Numbers, (...)
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  26.  54
    The Trinity: A Philosophical Investigation.H. E. Baber - 2019 - London, UK: SCM Press.
    The doctrine of the Trinity developed in response to a range of theological interests, among them the project of reconciling claims about the divinity of Christ with monotheism and massaging Christian doctrine into the ambient (largely Platonic) philosophical framework of the period. More recently the Trinity doctrine has been deployed to promote normative claims concerning human nature, human relationships and social justice. During the past two decades analytic philosophers of religion have increasingly engaged with the doctrine. There are, however, (...)
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  27. Form and Matter.Robert Pasnau - 2009 - In The Cambridge History of Medieval Philosophy. Cambridge University Press.
    The first unquestionably big idea in the history of philosophy was the idea of form. The idea of course belonged to Plato, and was then domesticated at the hands of Aristotle, who paired form with matter as the two chief principles of his metaphysics and natural philosophy. In the medieval period, it was Aristotle’s conception of form and matter that generally dominated. This was true for both the Islamic and the Christian tradition, once the entire Aristotelian corpus became available. For (...)
     
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  28.  98
    Relations All the Way Down? Against Ontic Structural Realism.Sebastián Briceño & Stephen Mumford - 2016 - In Anna Marmodoro & David Yates (eds.), The Metaphysics of Relations. Oxford University Press. pp. 198-217.
    According to Ladyman, the world consists of nothing more than relations that relate to no particulars. Could the world be nothing but structure? In this chapter it is argued that even though there are a number of problems with the standard view of relations accompanied by a particularist ontology, substituting for it a world of pure structure is not progress. A world of pure structure would be no more than a Platonic entity, lacking any resources for concretization. Consequently, (...)
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  29. Realism and Determinable Properties.Crawford L. Elder - 1996 - Philosophy and Phenomenological Research 56 (1):149-159.
    The modern form of realism about properties has typically been far more austere than its Platonic ancestor. There is nothing especially austere about denying, as most modern property realists do, the reality of “disjunctive properties”—properties which would correspond, in the world, to disjunctive predicates such as “is an apple or an ocean,” “is observed by now and green or not observed by now and blue,” etc. But modern property realists typically deny far more. It has been argued, for example, (...)
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  30.  83
    The Idea of Socratic Contestation and the Right to Justification: The Point of Rights-Based Proportionality Review.Mattias Kumm - 2010 - Law and Ethics of Human Rights 4 (2):142-175.
    The institutionalization of a rights-based proportionality review shares a number of salient features and puzzles with the practice of contestation that the Socrates of the early Platonic dialogues became famous for. Understanding the point of Socratic contestation, and its role in a democratic polity, is also the key to understanding the point of proportionality based rights review. To begin with, when judges decide cases within the proportionality framework they do not primarily interpret authority. They assess reasons. Not surprisingly, (...)
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  31. Plotinian Henadology.Edward P. Butler - 2016 - Kronos - metafizyka, kultura, religia 1 (5):143-159.
    Plotinus’ famous treatise against the Gnostics (33), together with contemporary and thematically related treatises on Intelligible Beauty (31), on Number (34), and on Free Will and the Will of the One (39), can be seen as providing the essential components of a Plotinian defense of polytheism against conceptual moves that, while associated for him primarily with Gnostic sectarians overlapping with Platonic philosophical circles, will become typical of monotheism in its era of hegemony. When Plotinus’ Gnostics ‘contract’ divinity into (...)
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  32.  45
    Prodicus the Sophist. By Robert Mayhew.John Palmer - 2013 - Philosophical Quarterly 63 (253):853-855.
    © 2013 The Editors of The Philosophical QuarterlyProdicus of Ceos was a major figure of the sophistic movement in Greece during the latter part of the fifth century bc. He features in a number of Platonic dialogues in ways that suggest he was regarded by Socrates more sympathetically than the other sophists. Robert Mayhew has undertaken to present and discuss all the extant textual evidence for Prodicus’ life and thought. The presentation consists of ninety pieces of mostly Greek (...)
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  33. A Horse is a Horse, of Course, of Course, but What About Horseness?Necip Fikri Alican - 2015 - In Debra Nails & Harold Tarrant (eds.), Second Sailing: Alternative Perspectives on Plato. Helsinki: Societas Scientiarum Fennica. pp. 307–324.
    Plato is commonly considered a metaphysical dualist conceiving of a world of Forms separate from the world of particulars in which we live. This paper explores the motivation for postulating that second world as opposed to making do with the one we have. The main objective is to demonstrate that and how everything, Forms and all, can instead fit into the same world. The approach is exploratory, as there can be no proof in the standard sense. The debate between explaining (...)
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  34.  19
    Erkenntnistheorie der Zahldefinition Und Philosophische Grundlegung der Arithmetik Unter Bezugnahme Auf Einen Vergleich Von Gottlob Freges Logizismus Und Platonischer Philosophie (Syrian, Theon Von Smyrna U.A.).Markus Schmitz - 2001 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 32 (2):271-305.
    The epistomology of the definition of number and the philosophical foundation of arithmetic based on a comparison between Gottlob Frege's logicism and Platonic philosophy (Syrianus, Theo Smyrnaeus, and others). The intention of this article is to provide arithmetic with a logically and methodologically valid definition of number for construing a consistent philosophical foundation of arithmetic. The – surely astonishing – main thesis is that instead of the modern and contemporary attempts, especially in Gottlob Frege's Foundations of Arithmetic, (...)
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  35.  45
    On the Religious Foundations of A.F. Losev's Philosophy of Music.Konstantin V. Zenkin - 2004 - Studies in East European Thought 56 (2-3):161-172.
    The article considers A.F. Losev''s philosophy of music in the context ofhis entire religious worldview and as the part of hisChristian-Neoplatonic philosophy. Synthesizing Pythagorean-Platonic andRomantic musical doctrines, Losev concludes: music is the expression ofthe life of numbers, a meonic-hyletic element that rages inside numericconstructions. So it is necessary to analyse the concept of number inthe system of Neoplatonic thought. In the Neoplatonic hierarchy of theuniverse both numeric sphere and music are located at the source of allthe eidei, above (...)
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  36.  63
    Sun, Divided Line, and Cave.J. E. Raven - 1953 - Classical Quarterly 3 (1-2):22-.
    It may seem strange, in view of the spate of recent literature on the subject, that yet another article should be forthcoming on what is certainly the most familiar, as well as the most vexed, of all Platonic passages. But it is precisely this spate of literature that has impelled me to write. The time seems to have come for an article which, rather than seeking desperately for something new, sets out instead to reaffirm those facts and conclusions that (...)
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  37.  70
    Socrates' Avowals of Knowledge.David Wolfsdorf - 2004 - Phronesis 49 (2):75-142.
    The paper examines Socrates' avowals and disavowals of knowledge in the standardly accepted early Platonic dialogues. All of the pertinent passages are assembled and discussed. It is shown that, in particular, alleged avowals of knowledge have been variously misinterpreted. The evidence either does not concern ethical knowledge or its interpretation has been distorted by abstraction of the passage from context or through failure adequately to appreciate the rhetorical dimensions of the context or the author's dramaturgical interests. Still, six sincere (...)
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  38.  27
    Aristotle and Neoplatonism in Late Antiquity: Interpretations of the De Anima.Eyjolfur Kjalar Emilsson & H. J. Blumenthal - 1998 - Philosophical Review 107 (3):486.
    The late ancient commentators on Aristotle, most of them Platonists, have been gradually re-emerging on the philosophical and scholarly horizon during the last two or three decades. Their reappearance is not likely to cause any major transformations of the scene, but they are interesting enough in themselves to deserve careful study and they have been influential in the past to the extent that proper understanding of their work sheds light on the subsequent history of the interpretation of Aristotle. This and (...)
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  39.  39
    Epistemic Objects as Interactive Loci.Alex Levine - 2011 - Axiomathes 21 (1):57-66.
    Contemporary process metaphysics has achieved a number of important results, most significantly in accounting for emergence, a problem on which substance metaphysics has foundered since Plato. It also faces trenchant problems of its own, among them the related problems of boundaries and individuation. Historically, the quest for ontology may thus have been largely responsible for the persistence of substance metaphysics. But as Plato was well aware, an ontology of substantial things raises serious, perhaps insurmountable problems for any account of (...)
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  40. Rights of Inequality: Rawlsian Justice, Equal Opportunity, and the Status of the Family.Justin Schwartz - 2001 - Legal Theory 7 (1):83-117.
    Is the family subject to principles of justice? In "A Theory of Justice", John Rawls includes the (monogamous) family along with the market and the government as among the, "basic institutions of society", to which principles of justice apply. Justice, he famously insists, is primary in politics as truth is in science: the only excuse for tolerating injustice is that no lesser injustice is possible. The point of the present paper is that Rawls doesn't actually mean this. When it comes (...)
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  41.  7
    Realism and Determinable Properties.Crawford L. Elder - 1996 - Philosophy and Phenomenological Research 56 (1):149-159.
    The modern form of realism about properties has typically been far more austere than its Platonic ancestor. There is nothing especially austere about denying, as most modern property realists do, the reality of “disjunctive properties”—properties which would correspond, in the world, to disjunctive predicates such as “is an apple or an ocean,” “is observed by now and green or not observed by now and blue,” etc. But modern property realists typically deny far more. It has been argued, for example, (...)
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  42.  9
    What the Philosophy of Biology Is: Essays Dedicated to David Hull.Michael Ruse (ed.) - 1989 - Dordrecht: Kluwer Academic Publishers.
    Philosophers of science frequently bemoan (or cheer) the fact that today, with the supposed collapse of logical empiricism, there are now ;;10 grand systems. However, although this mayor may not be true, and if true mayor may not be a cause for delight, no one should conclude that the philosophy of science has ground to a halt, its problems exhausted and its practioners dispirited. In fact, in this post­ Kuhnian age the subject has never been more alive, as we work (...)
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  43.  39
    Badiou’s Platonism: The Mathematical Ideas of Post-Cantorian Set-Theory.Simon B. Duffy - 2012 - In Sean Bowden & Simon B. Duffy (eds.), Badiou and Philosophy. Edinburgh University Press.
    Plato’s philosophy is important to Badiou for a number of reasons, chief among which is that Badiou considered Plato to have recognised that mathematics provides the only sound or adequate basis for ontology. The mathematical basis of ontology is central to Badiou’s philosophy, and his engagement with Plato is instrumental in determining how he positions his philosophy in relation to those approaches to the philosophy of mathematics that endorse an orthodox Platonic realism, i.e. the independent existence of a (...)
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  44.  50
    The Mythical Voice in the Timaeus-Critias: Stylometric Indicators.Harold Tarrant, Eugenio E. Benitez & Terry Roberts - 2011 - Ancient Philosophy 31 (1):95-120.
    This article presents evidence over which we stumbled while investigating a completely different part of the Platonic Corpus. While examining the ordinary working vocabulary of the doubtful dialogues and of those undisputed dialogues most readily compared with them, it seemed essential to have a representative sample of Plato's allegedly 'middle' and 'late' dialogues also. The real surprise came when the Critias was included, showing some frequencies not previously observed in Platonic dialogues. This prompted treatment of the Timaeus also, (...)
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  45.  50
    A Cosmos Existing Through Ethical Necessity.John Leslie - 2009 - Philo 12 (2):172-187.
    The paper develops a Platonic and Spinozistic metaphysics. With an unprovable yet absolute necessity, the cosmos exists just because of the ethical need for it. We, and all the intricate structures of our universe, exist as intricately structured thoughts in a divine mind. This mind could contain infinitely many other universes as well, and minds of the same kind could exist in infinite number. Evidence for this is supplied by the finely tuned orderliness of our universe, and by (...)
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  46.  25
    Charakterystyka kultury modernizmu europejskiego w pespektywie filozofii kultury.Anna Pałubicka - 2010 - Filo-Sofija 10 (10 (2010/1)):7-24.
    Author: Pałubicka Anna Title: CHARACTERISTICS OF EUROPEAN MODERNISM IN THE PERSPECTIVE OF PHILOSOPHY OF CULTURE (Charakterystyka kultury modernizmu europejskiego w perspektywie filozofii i kultury) Source: Filo-Sofija year: 2010, vol:.10, number: 2010/1, pages: 7-24 Keywords: EUROPEAN MODERNISM, PHILOSOPHY OF CULTURE, ACTION, OBSERVER Discipline: PHILOSOPHY Language: POLISH Document type: ARTICLE Publication order reference (Primary author’s office address): E-mail: www:The author distinguishes two attitudes toward the world: (1) the attitude of an action which involves engagement, care, values, and interests; (2) the attitude (...)
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  47. The Mystery of Numbers.Annemarie Schimmel - 1996 - Oxford University Press USA.
    Why is the number seven lucky--even holy--in almost every culture? Why do we speak of the four corners of the earth? Why do cats have nine lives? From literature to folklore to private superstitions, numbers play a conspicuous role in our daily lives. But in this fascinating book, Annemarie Schimmel shows that numbers have been filled with mystery and meaning since the earliest times, and across every society. In The Mystery of Numbers Annemarie Schimmel conducts an illuminating tour of (...)
     
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  48.  13
    Why Five Worlds? Plato's Timaeus 55C–D.Ernesto Paparazzo - 2011 - Apeiron 44 (2):147-162.
    In the Timaeus, Plato says that the hypothesis of there being five worlds casts a reasonable doubt. Neither ancient commentators of Plato nor modern scholars have succeeded in unveiling the meaning of this hypothesis. I propose that five is the number of combinations with which the five platonic solids can be arranged in sets of four, each set making up a world. I discuss the question of whether Plato's mathematical skills made him equal to the task of calculating (...)
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  49.  21
    The Place of Geometry: Heidegger's Mathematical Excursus on Aristotle.Stuart Elden - 2001 - Heythrop Journal 42 (3):311–328.
    ‘The Place of Geometry’ discusses the excursus on mathematics from Heidegger's 1924–25 lecture course on Platonic dialogues, which has been published as Volume 19 of the Gesamtausgabe as Plato's Sophist, as a starting point for an examination of geometry in Euclid, Aristotle and Descartes. One of the crucial points Heidegger makes is that in Aristotle there is a fundamental difference between arithmetic and geometry, because the mode of their connection is different. The units of geometry are positioned, the units (...)
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    Epistemic Objects as Interactive Loci.Alex Levine - 2012 - Process Studies 41 (1):195-196.
    Contemporary process metaphysics has achieved a number of important results, most significantly in accounting for emergence, a problem on which substance metaphysics has foundered since Plato. It also faces trenchant problems of its own, among them the related problems of boundaries and individuation. Historically, the quest for ontology may thus have been largely responsible for the persistence of substance metaphysics. But as Plato was well aware, an ontology of substantial things raises serious, perhaps insurmountable problems for any account of (...)
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