Results for 'Aristotelian abstraction'

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  1.  71
    Aristotelian logic, axioms, and abstraction.Roy T. Cook - 2003 - Philosophia Mathematica 11 (2):195-202.
    Stewart Shapiro and Alan Weir have argued that a crucial part of the demonstration of Frege's Theorem (specifically, that Hume's Principle implies that there are infinitely many objects) fails if the Neo-logicist cannot assume the existence of the empty property, i.e., is restricted to so-called Aristotelian Logic. Nevertheless, even in the context of Aristotelian Logic, Hume's Principle implies much of the content of Peano Arithmetic. In addition, their results do not constitute an objection to Neo-logicism so much as (...)
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  2.  39
    Themes in Neoplatonic and Aristotelian logic: order, negation, and abstraction.John N. Martin - 2004 - Burlington, VT: Ashgate.
    This book shows otherwise. John Martin rehabilitates Neoplatonism, founded by Plotinus and brought into Christianity by St. Augustine.
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  3. Mathematics as a science of non-abstract reality: Aristotelian realist philosophies of mathematics.James Franklin - 2022 - Foundations of Science 27 (2):327-344.
    There is a wide range of realist but non-Platonist philosophies of mathematics—naturalist or Aristotelian realisms. Held by Aristotle and Mill, they played little part in twentieth century philosophy of mathematics but have been revived recently. They assimilate mathematics to the rest of science. They hold that mathematics is the science of X, where X is some observable feature of the (physical or other non-abstract) world. Choices for X include quantity, structure, pattern, complexity, relations. The article lays out and compares (...)
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  4.  66
    Toward an Aristotelian Theory of Abstract Objects.Michael J. Loux - 1986 - Midwest Studies in Philosophy 11 (1):495-512.
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  5. A hypothesis on the aristotelian concept of abstraction-Aristotle substitution in'metaphysics'mn of the generalizing and simplifying methods of the platonic-academic metaphysics with the universalizing abstraction.E. Cattanei - 1990 - Rivista di Filosofia Neo-Scolastica 82 (4):578-586.
     
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  6. An Aristotelian Realist Philosophy of Mathematics: Mathematics as the science of quantity and structure.James Franklin - 2014 - London and New York: Palgrave MacMillan.
    An Aristotelian Philosophy of Mathematics breaks the impasse between Platonist and nominalist views of mathematics. Neither a study of abstract objects nor a mere language or logic, mathematics is a science of real aspects of the world as much as biology is. For the first time, a philosophy of mathematics puts applied mathematics at the centre. Quantitative aspects of the world such as ratios of heights, and structural ones such as symmetry and continuity, are parts of the physical world (...)
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  7. Abstraction and Idealization in the Formal Verification of Software Systems.Nicola Angius - 2013 - Minds and Machines 23 (2):211-226.
    Questions concerning the epistemological status of computer science are, in this paper, answered from the point of view of the formal verification framework. State space reduction techniques adopted to simplify computational models in model checking are analysed in terms of Aristotelian abstractions and Galilean idealizations characterizing the inquiry of empirical systems. Methodological considerations drawn here are employed to argue in favour of the scientific understanding of computer science as a discipline. Specifically, reduced models gained by Dataion are acknowledged as (...)
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  8. Aristotelian realism.James Franklin - 2009 - In A. Irvine (ed.), The Philosophy of Mathematics (Handbook of the Philosophy of Science series). North-Holland Elsevier.
    Aristotelian, or non-Platonist, realism holds that mathematics is a science of the real world, just as much as biology or sociology are. Where biology studies living things and sociology studies human social relations, mathematics studies the quantitative or structural aspects of things, such as ratios, or patterns, or complexity, or numerosity, or symmetry. Let us start with an example, as Aristotelians always prefer, an example that introduces the essential themes of the Aristotelian view of mathematics. A typical mathematical (...)
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  9. John N. Martin, Themes in Neoplatonic and Aristotelian Logic: Order, Negation and Abstraction.Marek Lechniak - 2007 - Roczniki Filozoficzne:244-251.
     
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  10.  19
    An Extensional Analysis of the Process of Abstracting from an Electro-Colloidal Non-Aristotelian Point of View.Alfred Korzybski - 1946 - Synthese 5 (5/6):239 - 241.
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  11.  78
    Aristotelian Diagrams in the Debate on Future Contingents: A Methodological Reflection on Hess's Open Future Square of Opposition.Lorenz Demey - 2019 - Sophia 58 (3):321-329.
    In the recent debate on future contingents and the nature of the future, authors such as G. A. Boyd, W. L. Craig, and E. Hess have made use of various logical notions, such as the Aristotelian relations of contradiction and contrariety, and the ‘open future square of opposition.’ My aim in this paper is not to enter into this philosophical debate itself, but rather to highlight, at a more abstract methodological level, the important role that Aristotelian diagrams can (...)
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  12. Acquiring Aristotelian Virtue.Nafsika Athanassoulis - 2018 - In The Oxford Handbook of Virtue. pp. 415-431.
    Abstract: This chapter examines the role of the virtuous agent in the acquisition of virtue. It rejects the view of the virtuous agent as a direct model for imitation and instead focuses on recent research on the importance of phronesis. Phronesis is understood as a type of moral ‘know how’ expertise that is supported by a variety of abilities, from emotional maturity, to self-reflection, to an empathic understanding of what moves others, to an ability to see beyond the surface and (...)
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  13. An Aristotelian Theory of Divine Illumination: Robert Grosseteste's Commentary on the Posterior Analytics.Christina Van Dyke - 2009 - British Journal for the History of Philosophy 17 (4):685-704.
    Two central accounts of human cognition emerge over the course of the Middle Ages: the theory of divine illumination and an Aristotelian theory centered on abstraction from sense data. Typically, these two accounts are seen as competing views of the origins of human knowledge; theories of divine illumination focus on God’s direct intervention in our epistemic lives, whereas Aristotelian theories generally claim that our knowledge derives primarily (or even entirely) from sense perception. In this paper, I address (...)
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  14.  8
    Aristotelian Logic and the Arabic Language in Alfarabi.Shukri Abed - 1990 - Albany, NY, USA: State University of New York Press.
    This book explores the reaction of tenth-century Arab philosopher Abu Nasr Alfarabi to the logical works of Aristotle. From numerous short treatises the author develops a systematic and comprehensive topical survey of Alfara bi's logical writings. The book is divided into two major parts: language as a tool of logic and logic as a tool with which to analyze language. The first five chapters deal with Alfarabi's analysis of the meanings of various terms as they are used in logic and (...)
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  15.  31
    Some Aristotelian Notes on the Attempt to Define Sport.William J. Morgan - 1977 - Journal of the Philosophy of Sport 4 (1):15-35.
  16. Aristotelian Ethics is a Theoretical Science.Glenn G. Pajares - 2013 - Iamure International Journal of Literature, Philosophy and Religion 3 (1).
    Aristotelian ethics is widely accepted by many scholars as a practical science. However, this study showed that it is not after all a practical science but a speculative or theoretical science. Having employed textual analysis on Aristotle’s Nicomachean Ethics, it was found out that eudaimonia the Highest Good/Chief Good which is the ultimate goal of Ethics is achieved not through action but through contemplation. Contemplation is the act not of the will but of intellect. Hence, the highest virtue or (...)
     
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  17.  15
    An Aristotelian program for teaching argumentation.Jonathan Lavery & Jeff Mitscherling - unknown
    We have modified Aristotelian syllogistic logic in for use in introductory philosophy courses. Although the scope of Aristotle's syllogistic is narrowed by our modifications, its pedagogical value is increased in one crucial way: in 4-6 hours of class time, students with no background in argumentation progress to the point where they can evaluate the structure of condensed and extended arguments. Because the mechanics of the program are readily grasped, it is possible to focus class time on important, abstract notions (...)
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  18. Abstraction, Idealization and Ideology in Ethics.Onora O'Neill - 1987 - Royal Institute of Philosophy Lecture Series 22:55-69.
    Although Burke, Bentham, Hegel and Marx do not often agree, all criticized certain ethical theories, in particular theories of rights, for being too abstract. The complaint is still popular. It was common in Existentialist and in Wittgensteinian writing that stressed the importance of cases and examples rather than principles for the moral life; it has been prominent in recent Hegelian and Aristotelian flavoured writing, which stresses the importance of the virtues; it is reiterated in discussions that stress the distinctiveness (...)
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  19. Abstract Logic of Oppositions.Fabien Schang - 2012 - Logic and Logical Philosophy 21 (4):415--438.
    A general theory of logical oppositions is proposed by abstracting these from the Aristotelian background of quantified sentences. Opposition is a relation that goes beyond incompatibility (not being true together), and a question-answer semantics is devised to investigate the features of oppositions and opposites within a functional calculus. Finally, several theoretical problems about its applicability are considered.
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  20.  24
    Aristotelian Ethics and Biophilia.Aristotelis Santas - 2014 - Ethics and the Environment 19 (1):95.
    Biophilia is a concept that has been much utilized as a foundation for an environmental or “land” ethic. E.O. Wilson characterizes it as a genetic disposition that links human survival to valuing living systems. J. Baird Callicott argues that human sentiments are naturally directed to all living systems and beings and this sentiment has evolutionary value. This author contends that if biophilia is to be a viable foundation for such an ethic, it must be conceived more abstractly and broadly as (...)
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  21.  37
    Aristotelian Explorations (review).Rosamond Kent Sprague - 1998 - Journal of the History of Philosophy 36 (1):126-128.
    In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Aristotelian Explorations by G. E. R. LloydRosamond Kent SpragueG. E. R. Lloyd. Aristotelian Explorations. Cambridge: Cambridge University Press, 1996. Pp. ix + 242. Cloth, $49.95.Although the essays in this richly rewarding book were given as lectures and seminars in a variety of places over a period of eight years, they possess a unity of theme that welds them into a satisfying whole. Furthermore, by the judicious (...)
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  22.  19
    An Aristotelian approach to mathematical ontology.Donald Gillies - 2015 - In E. Davis & P. Davis (eds.), Mathematics, Substance and Surmise. Springer. pp. 147–176.
    The paper begins with an exposition of Aristotle’s own philosophy of mathematics. It is claimed that this is based on two postulates. The first is the embodiment postulate, which states that mathematical objects exist not in a separate world, but embodied in the material world. The second is that infinity is always potential and never actual. It is argued that Aristotle’s philosophy gave an adequate account of ancient Greek mathematics; but that his second postulate does not apply to modern mathematics, (...)
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  23.  15
    Aristotelian philosophy and functional design.S. A. Grave - 1950 - Australasian Journal of Philosophy 28 (1):29 – 42.
  24.  13
    The Aristotelian Tradition and the Rise of British Empiricism. Logic and Epistemology in the British Isles (1570–1689).Sarah Hutton - 2013 - Intellectual History Review 23 (4):585-586.
  25. The Aristotelian Structure of Justice in the Divine Comedy.Anne M. Wiles - 2013 - Proceedings of the American Catholic Philosophical Association 87:145-153.
    The argument of this paper is that the Aristotelian analysis of justice and related concepts provides the best framework for understanding the structure and importance of justice in Dante’s Commedia. After giving a synopsis of the principle features of Aristotle’s account of justice in Book 5 of the Nicomachean Ethics, I consider a few scenes from the Inferno, the Purgatorio, and the Paradiso, showing how the punishments and rewards Dante describes are based on the Aristotelian analysis of justice. (...)
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  26.  99
    The Aristotelian Structure of Justice in the Divine Comedy.Anne M. Wiles - 2013 - Proceedings of the American Catholic Philosophical Association 87:145-153.
    The argument of this paper is that the Aristotelian analysis of justice and related concepts provides the best framework for understanding the structure and importance of justice in Dante’s Commedia. After giving a synopsis of the principle features of Aristotle’s account of justice in Book 5 of the Nicomachean Ethics, I consider a few scenes from the Inferno, the Purgatorio, and the Paradiso, showing how the punishments and rewards Dante describes are based on the Aristotelian analysis of justice. (...)
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  27. Thomistic Abstraction: Re-Incarnating Philosophy Into Human Existence After Kant.Andres Ayala - manuscript
    Kant’s subject as source of universality and necessity in human understanding is Modern Philosophy's solution to the old problem of the universals, a solution which appeared to supersede once and for all the Aristotelian theory of abstraction. The present paper intends to show how Aquinas's Aristotelian doctrine on abstraction may stand the Kantian challenge and resolve the old problem when three principles are brought into play: 1) the same perfection can subsist in two different modes of (...)
     
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  28.  25
    Formal Abstraction and its Problems in Aquinas.David Svoboda - 2022 - American Catholic Philosophical Quarterly 96 (1):1-20.
    Formal abstraction is a key instrument Aquinas employs to secure the possibility of mathematics conceived as a theoretical Aristotelian science. In this concept, mathematics investigates quantitative beings, which are grasped by means of formal abstraction in their necessary, universal, and changeless properties. Based on this, the paper divides into two main parts. In the first part (section II) I explicate Aquinas’s conception of (formal) abstraction against the background of the Aristotelian theory of science and mathematics. (...)
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  29. Abstraction and Intellection of Essences in the Latin Tradition.Ana Maria Mora-Marquez - 2022 - In Christina Thomsen Thörnqvist & Juhana Toivanen (eds.), Forms of Representation in the Aristotelian Tradition. Volume Two: Dreaming. Boston: Brill. pp. 178-204.
    Medieval Integration Challenge for Intellection (MICI) in Albert the Great, Siger of Brabant, and Radulphus Brito.
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  30.  74
    Between abstraction and idealization: Scientific practice and philosophical awareness.Francesco Coniglione - 2004 - Poznan Studies in the Philosophy of the Sciences and the Humanities 82 (1):59-110.
    The aim of this essay is to emphasize a number of important points that will provide a better understanding of the history of philosophical thought concerning scientific knowledge. The main points made are: (a) that the principal way of viewing abstraction which has dominated the history of thought and epistemology up to the present is influenced by the original Aristotelian position; (b) that with the birth of modern science a new way of conceiving abstraction came into being (...)
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  31.  92
    Abstraction by recarving.Michael Potter & Timothy Smiley - 2001 - Proceedings of the Aristotelian Society 101 (3):327–338.
    Explains why Bob Hale's proposed notion of weak sense cannot explain the analyticity of Hume's principle as he claims. Argues that no other notion of the sort Hale wants could do the job either.
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  32.  47
    Abstractions can be causes — a response to professor Hogan.Kathleen Miller - 1994 - Biology and Philosophy 9 (1):99-103.
    In Canions be Causes, David Johnson defends the view that abstractions can have causal force. He offers as his own example of natural kinds ecological niches, arguing that the causal force of these niches in nature is akin to the force of Aristotelian final causes. He concludes that, rooted as it is in seventeenth century mechanism, the currently-accepted model of causality which recognises only efficient causes is inadequate to the needs of contemporary science. In Natural Kinds and Ecological Niches (...)
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  33.  26
    Life's Form: Late Aristotelian Conceptions of the Soul (review).Jorge Secada - 2003 - Journal of the History of Philosophy 41 (1):127-128.
    In lieu of an abstract, here is a brief excerpt of the content:Journal of the History of Philosophy 41.1 (2003) 127-128 [Access article in PDF] Dennis Des Chene. Life's Form: Late Aristotelian Conceptions of the Soul. Ithaca, NY: Cornell University Press, 2000. Pp. viii + 220. Cloth, $45.00. The history of philosophy aims at the recovery and interpretation of past thought, and its reconstructions seek to avoid anachronism. Dennis Des Chene's book is exemplary in this respect. It offers a (...)
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  34.  21
    Abstraction by Recarving.Michael Potter & Timothy Smiley - 2001 - Proceedings of the Aristotelian Society 101 (3):327-338.
  35.  21
    Abstract.Stan Van Hooft - 2001 - Philosophical Explorations 4 (2):135 – 149.
    Although Aristotle did not mention it, integrity can be understood in an Aristotelian framework. Seeing it in these terms will show that it is an executive virtue which concerns the existential well being of an agent. This analysis is not offered as an exegesis of Aristotle's text, but as an attempt to use an Aristotelian framework to understand a virtue deemed important today. This account will have the benefit of solving some problems relating to motivational internalism and, as (...)
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  36.  20
    Agent-Centered Morality: An Aristotelian Alternative to Kantian Internalism (review).Daniel E. Palmer - 2000 - Journal of the History of Philosophy 38 (3):449-451.
    In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Agent-Centered Morality: An Aristotelian Alternative to Kantian InternalismDaniel E. PalmerGeorge W. Harris. Agent-Centered Morality: An Aristotelian Alternative to Kantian Internalism. Berkeley: University of California Press, 1999. Pp. xi + 434. Cloth, $60.00.Contemporary philosophers have found substantial resources in the ethical writings of both Aristotle and Kant. Together Aristotelian-inspired virtue ethics and Kantian constructivism have not only contributed greatly to the resurgence of interest in normative (...)
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  37.  10
    Basic Concepts of Aristotelian Philosophy (review).Shawn Loht - 2010 - Journal of the History of Philosophy 48 (3):405-406.
    In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Basic Concepts of Aristotelian PhilosophyShawn LohtMartin Heidegger. Basic Concepts of Aristotelian Philosophy. Translated by Robert D. Metcalf and Mark B. Tanzer. Bloomington-Indianapolis: Indiana University Press, 2009. Pp. xii + 279. Cloth, $39.95.Previously available as Volume 18 of the Gesamtausgabe [GA], this text contains a lecture course delivered by Heidegger at Marburg during the summer of 1924. Metcalf and Tanzer's translation is its first appearance in English. (...)
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  38.  63
    The Coloration of Aristotelian Eye-Jelly: A Note on On Dreams 459b-460a.Raphael Woolf - 1999 - Journal of the History of Philosophy 37 (3):385-391.
    In lieu of an abstract, here is a brief excerpt of the content:The Coloration of Aristotelian Eye-Jelly: A Note on On Dreams 459b–460aRaphael WoolfThe purpose of this paper is to make a small contribution to a recent lively debate concerning Aristotle’s philosophy of mind. This debate has centered on a paper published by Myles Burnyeat,1 which argued that Aristotle’s philosophy of mind, being hopelessly anachronistic, could not serve as the prototype of any contemporary theory: in particular, it could not (...)
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  39. III-Reference by Abstraction.ØYstein Linnebo - 2012 - Proceedings of the Aristotelian Society 112 (1pt1):45-71.
    Frege suggests that criteria of identity should play a central role in the explanation of reference, especially to abstract objects. This paper develops a precise model of how we can come to refer to a particular kind of abstract object, namely, abstract letter types. It is argued that the resulting abstract referents are ‘metaphysically lightweight’.
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  40. ABSTRACT: The identity of knower and known.Gyula Klima - manuscript
    One often hears extravagant claims made for the Aristotelian doctrine that "what understands and what is understood are the same" De anima iii.4; 430a4). This identity between knower and what is known, or between percipient and what is perceived, is often said to offer a way out of the familiar skeptical arguments against the possibility of our having knowledge of the external world. Typically such claims are made by students of Thomas Aquinas, who in this way seek to render (...)
     
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  41.  7
    Aristotle's Man: Speculations Upon Aristotelian Anthropology.Stephen R. L. Clark - 1975 - Oxford, GB: Oxford University Press.
    Words have determinable sense only within a complex of unstated assumptions, and all interpretation must therefore go beyond the given material. This book addresses what is man's place in the Aristotelian world. It also describes man's abilities and prospects in managing his life, and considers how far Aristotle's treatment of time and history licenses the sort of dynamic interpretation of his doctrines that have been given. The ontological model that explains much of Aristotle's conclusions and methods is one of (...)
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  42.  11
    Heidegger and aristotelian phronesis as proto-phenomenology.José Manuel Chillón - 2019 - Ideas Y Valores 68 (169):133-152.
    RESUMEN La comprensión aristotélica de la prudencia constituye un antecedente fundamental para entender el giro hermenéutico de la fenomenología heideggeriana. Se examina cómo la interpretación fenomenológica de Heidegger sobre esta virtud dianoética puede entenderse si se consideran a cuatro aspectos: la prioridad de la praxis respecto de los saberes teóricos, el reconocimiento de un horizonte de verdad más amplio que la verdad proposicional del logos apophantikos, el valor del instante kairológico en el que discurre la acción humana y el anticipo (...)
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  43.  64
    Intellectual Abstraction in St. Albert.Herbert Johnston - 1960 - Philosophical Studies (Dublin) 10 (10):204-212.
    It has been pointed out that St. Albert the Great, in defining the human soul as it is in itself, turns to Avicenna rather than to Aristotle. There is, he says, a twofold definition of the human soul, one in relation to the body according as it is the act and mover of a body, and one in itself according as it is a substance. And it is better to speak of the soul as a perfection than as a form, (...)
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  44.  42
    Event and poiesis: The aristotelian theory of natural events.Carlo Natali - 2009 - Journal of Chinese Philosophy 36 (4):503-515.
  45.  17
    On the Platonic pedagogical methodology: an alternative to the Aristotelian theory of education.Alkis Kotsonis - 2021 - Ethics and Education 16 (4):464-477.
    ABSTRACT My aim in this paper is to challenge the neo-Aristotelian tradition, currently dominant in contemporary theories of virtue education, by proposing the Platonic pedagogical methodology for virtue cultivation as a worthy alternative to the Aristotelian theory of education. I highlight that, in contrast to Aristotle’s limited remarks concerning virtue education, Plato conceptualizes and develops a rigorous educational theory in the Republic that considers many different facets of education – i.e. moral character education, intellectual character education, exemplarism and (...)
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  46.  31
    Existence, Negation, and Abstraction in the Neoplatonic Hierarchy 1.John N. Martin - 1995 - History and Philosophy of Logic 16 (2):169-196.
    The paper is a study of the logic of existence, negation, and order in the Neoplatonic tradition. The central idea is that Neoplatonists assume a logic in which the existence predicate is a comparative adjective and in which monadic predicates function as scalar adjectives that nest the background order. Various scalar predicate negations are then identifiable with various Neoplatonic negations, including a privative negation appropriate for the lower orders of reality and a hyper-negation appropriate for the higher. Reversion to the (...)
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  47. Questioning What Is: An Aristotelian Alternative to the Poststructuralist Foundations of Feminism.Denise Schaeffer - 1996 - Dissertation, Fordham University
    Given the many differences among women, can feminist theory even speak in terms of the category "woman?" This is the question that currently dominates feminist theory. Theorists who subscribe to traditional feminism argue that feminism must, for political and philosophic reasons, employ the category "woman." Those who take a poststructuralist approach, however, assert that invoking "woman" is an oppressive tactic that advances an essentialist ideal that is oppressive to women no matter what the content of that ideal. Even a "feminist" (...)
     
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  48.  40
    Review of An Aristotelian Realist Philosophy of Mathematics[REVIEW]Max Jones - 2015 - Philosophia Mathematica 23 (2):281-288.
    In An Aristotelian Realist Philosophy of Mathematics Franklin develops a tantalizing alternative to Platonist and nominalist approaches by arguing that at least some mathematical universals exist in the physical realm and are knowable through ordinary methods of access to physical reality. By offering a third option that lies between these extreme all-or-nothing approaches and by rejecting the ‘dichotomy of objects into abstract and concrete’, Franklin provides potential solutions to many of these traditional problems and opens up a whole new (...)
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  49. Reconstructing Aquinas's Process of Abstraction.Liran Shia Gordon - 2018 - Heythrop Journal 59 (4):639-652.
    Aquinas’s process of abstraction of the particular thing into a universal concept is of pivotal importance for grounding his philosophy and theology in a natural framework. Much has been said and written regarding Aquinas’s doctrine of abstraction, yet recent studies still consider it to be ‘nothing more than a kind of magic.’ This problematic claim is not without foundation, for in trying to understand exactly how this process works, we are constantly faced with an unbridgeable abyss and the (...)
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  50. The Common Good of the Firm in the Aristotelian-Thomistic Tradition.Alejo José G. Sison & Joan Fontrodona - 2012 - Business Ethics Quarterly 22 (2):211-246.
    ABSTRACT:This article proposes a theory of the firm based on the common good. It clarifies the meaning of the term “common good” tracing its historical development. Next, an analogous sense applicable to the firm is derived from its original context in political theory. Put simply, the common good of the firm is the production of goods and services needed for flourishing, in which different members participate through work. This is linked to the political common good through subsidiarity. Lastly, implications and (...)
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