Results for 'continuum'

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  1. Aristotle and Modern Mathematical Theories of the Continuum.Anne Newstead - 2001 - In Demetra Sfendoni-Mentzou & James Brown (eds.), Aristotle and Contemporary Philosophy of Science. Peter Lang.
    This paper is on Aristotle's conception of the continuum. It is argued that although Aristotle did not have the modern conception of real numbers, his account of the continuum does mirror the topology of the real number continuum in modern mathematics especially as seen in the work of Georg Cantor. Some differences are noted, particularly as regards Aristotle's conception of number and the modern conception of real numbers. The issue of whether Aristotle had the notion of open (...)
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  2. The Logic and Topology of Kant's Temporal Continuum.Riccardo Pinosio & Michiel van Lambalgen - manuscript
    In this article we provide a mathematical model of Kant?s temporal continuum that satisfies the (not obviously consistent) synthetic a priori principles for time that Kant lists in the Critique of pure Reason (CPR), the Metaphysical Foundations of Natural Science (MFNS), the Opus Postumum and the notes and frag- ments published after his death. The continuum so obtained has some affinities with the Brouwerian continuum, but it also has ‘infinitesimal intervals’ consisting of nilpotent infinitesimals, which capture Kant’s (...)
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  3. The Continuum East and West.Peter Jones - 2014 - Philosophy Pathways (185).
    We often speak of 'Eastern' and 'Western' philosophy, yet it is not always easy to distinguish the key factors that justify this distinction. This essay explores the very different conceptions of the continuum that underlie these two traditions of thought and knowledge. The views of Hermann Weyl are given and it is proposed that they are correct. Attention is drawn to the mutually-exclusive visions of the continuum that separate the philosophies of East and West, and that give us (...)
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  4.  92
    On the Reality of the Continuum Discussion Note: A Reply to Ormell, ‘Russell's Moment of Candour’, Philosophy: Anne Newstead and James Franklin.Anne Newstead - 2008 - Philosophy 83 (1):117-127.
    In a recent article, Christopher Ormell argues against the traditional mathematical view that the real numbers form an uncountably infinite set. He rejects the conclusion of Cantor’s diagonal argument for the higher, non-denumerable infinity of the real numbers. He does so on the basis that the classical conception of a real number is mys- terious, ineffable, and epistemically suspect. Instead, he urges that mathematics should admit only ‘well-defined’ real numbers as proper objects of study. In practice, this means excluding as (...)
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  5. Argumentation, R. Pavilionis's Meaning Continuum and The Kitchen Debate.Elena Lisanyuk - 2015 - Problemos 88:95.
    In this paper, I propose a logical-cognitive approach to argumentation and advocate an idea that argumentation presupposes that intelligent agents engaged in it are cognitively diverse. My approach to argumentation allows drawing distinctions between justification, conviction and persuasion as its different kinds. In justification agents seek to verify weak or strong coherency of an agent’s position in a dialogue. In conviction they argue to modify their partner’s position by means of demonstrating weak or strong cogency of their positions before a (...)
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  6.  69
    An Observation on Carnapʼs Continuum and Stochastic Independencies.J. B. Paris - 2013 - Journal of Applied Logic 11 (4):421-429.
    We characterize those identities and independencies which hold for all probability functions on a unary language satisfying the Principle of Atom Exchangeability. We then show that if this is strengthen to the requirement that Johnson's Sufficientness Principle holds, thus giving Carnap's Continuum of inductive methods for languages with at least two predicates, then new and somewhat inexplicable identities and independencies emerge, the latter even in the case of Carnap's Continuum for the language with just a single predicate.
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  7.  78
    On the Reality of the Continuum Discussion Note: A Reply to Ormell, 'Russell's Moment of Candour', "Philosophy".Anne Newstead & James Franklin - 2008 - Philosophy 83 (1):117-127.
    This paper discusses an argument for the reality of the classical mathematical continuum. An inference to the best explanation type of argument is used to defend the idea that real numbers exist even when they cannot be constructively specified as with the "indefinable numbers".
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  8.  22
    Experience and Content: Consequences of a Continuum Theory.W. M. Davies - 1996 - Avebury.
    This book is about experiential content: what it is; what kind of account can be given of it. I am concerned with identifying and attacking one main view - I call it the inferentialist proposal. This account is central to the philosophy of mind, epistemology and philosophy of science and perception. I claim, however, that it needs to be recast into something far more subtle and enriched, and I attempt to provide a better alternative in these pages. The inferentialist proposal (...)
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  9. THE LOGIC OF TIME AND THE CONTINUUM IN KANT's CRITICAL PHILOSOPHY.Riccardo Pinosio & Michiel van Lambalgen - manuscript
    We aim to show that Kant’s theory of time is consistent by providing axioms whose models validate all synthetic a priori principles for time proposed in the Critique of Pure Reason. In this paper we focus on the distinction between time as form of intuition and time as formal intuition, for which Kant’s own explanations are all too brief. We provide axioms that allow us to construct ‘time as formal intuition’ as a pair of continua, corresponding to time as ‘inner (...)
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  10. Retrieving the Mathematical Mission of the Continuum Concept From the Transfinitely Reductionist Debris of Cantor’s Paradise. Extended Abstract.Edward G. Belaga - forthcoming - International Journal of Pure and Applied Mathematics.
    What is so special and mysterious about the Continuum, this ancient, always topical, and alongside the concept of integers, most intuitively transparent and omnipresent conceptual and formal medium for mathematical constructions and the battle field of mathematical inquiries ? And why it resists the century long siege by best mathematical minds of all times committed to penetrate once and for all its set-theoretical enigma ? -/- The double-edged purpose of the present study is to save from the transfinite deadlock (...)
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  11. Mind an Hourglass at the Bed of Time-Space Continuum.Reza Assadi - manuscript
    In this paper a new model of mind is proposed, to do so, at first it was assumed that our physical world a new structure and the mind defined in this context. In this model, the planets are massive curvature of time-space continuum that has made a trapping physical reality that we are located within. Then the mind is defined as an hourglass structure with half bulb within the physical reality and half out of it. This model with attention (...)
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  12. Coercive Paternalism and the Intelligence Continuum.Nathan Cofnas - forthcoming - Behavioural Public Policy:1-20.
    Thaler and Sunstein advocate 'libertarian paternalism'. A libertarian paternalist changes the conditions under which people act so that their cognitive biases lead them to choose what is best for themselves. Although libertarian paternalism manipulates people, Thaler and Sunstein say that it respects their autonomy by preserving the possibility of choice. Conly argues that libertarian paternalism does not go far enough, since there is no compelling reason why we should allow people the opportunity to choose to bring disaster upon themselves if (...)
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  13. Dynamical Interpretation of Leibniz’s Continuum.Vassil Vidinsky - 2008 - Kaygi 10:51-70.
    This dynamical interpretation of the continuum is based on a threefold perspective. First, detailed differentiation of all standard realms of Leibnizian Weltanschauung – (R real), (P phenomenal), (I ideal). Second, analysis of the scope of the Law of Continuity famously formulated by Leibniz and mapping it onto this (RPI) structure. Third, finding the precise place of dynamics and force in this (RPI) continuum.
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  14. From Panexperientialism to Conscious Experience: The Continuum of Experience.Gregory M. Nixon - 2010 - Journal of Consciousness Exploration and Research 1 (3):216-233.
    When so much is being written on conscious experience, it is past time to face the question whether experience happens that is not conscious of itself. The recognition that we and most other living things experience non-consciously has recently been firmly supported by experimental science, clinical studies, and theoretic investigations; the related if not identical philosophic notion of experience without a subject has a rich pedigree. Leaving aside the question of how experience could become conscious of itself, I aim here (...)
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  15. Albert Lautman. Mathematics, Ideas and the Physical Real. Simon B. Duffy, Trans. London and New York: Continuum, 2011. [REVIEW]Pierre Cassou-Noguès - 2013 - Philosophia Mathematica 21 (3):411-416.
    Albert Lautman. Mathematics, Ideas and the Physical Real. Simon B. Duffy, trans. London and New York: Continuum, 2011. 978-1-4411-2344-2 (pbk); 978-1-44114656-4 (hbk); 978-1-44114433-1 (pdf e-bk); 978-1-44114654-0 (epub e-bk). Pp. xlii + 310.
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  16.  33
    Experience and Content: Consequences of a Continuum Theory.W. Martin Davies - 1993 - Dissertation,
    This thesis is about experiential content: what it is; what kind of account can be given of it. I am concerned with identifying and attacking one main view - I call it the inferentialist proposal. This account is central to the philosophy of mind, epistemology and philosophy of science and perception. I claim, however, that it needs to be recast into something far more subtle and enriched, and I attempt to provide a better alternative in these pages. The inferentialist proposal (...)
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  17. The Continuum Problem: Modified Occam's Razor and Conventionalisation of Meaning.Marco Mazzone - 2014 - International Review of Pragmatics 6:29-58.
    According to Grice's “Modified Occam's Razor”, in case of uncertainty between the implicature account and the polysemy account of word uses it is parsimonious to opt for the former. However, it is widely agreed that uses can be partially conventionalised by repetition. This fact, I argue, raises a serious problem for MOR as a methodological principle, but also for the substantial notion of implicature in lexical pragmatics. In order to overcome these problems, I propose to reinterpret implicatures in terms of (...)
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  18. Rolfe King. Obstacles to Divine Revelation. Continuum, 2009.Tony Bolos - 2011 - European Journal for Philosophy of Religion 3 (2):470-473.
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  19. [Review of] Jon Williamson/Federica Russo (Eds.), Key Terms in Logic, London: Continuum, 2010. [REVIEW]Stamatios Gerogiorgakis - 2013 - Logical Analysis and History of Philosophy 16:384-386.
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  20.  62
    Tim Mawson. Free Will: A Guide for the Perplexed. Continuum, 2011. [REVIEW]Benjamin Matheson - 2012 - European Journal for Philosophy of Religion 4 (1):260--264.
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  21.  58
    Charles Taliaferro, Jil Evans. The Image in Mind: Theism, Naturalism, and the Imagination. Continuum, 2011.James D. Madden - 2014 - European Journal for Philosophy of Religion 6 (1):203--209.
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  22. Review of Christian Miller (Ed.), The Continuum Companion to Ethics. [REVIEW]Jon Garthoff - 2012 - Notre Dame Philosophical Review.
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  23.  52
    Kerry Walters. Atheism: A~Guide for the Perplexed. Continuum, 2010 / Michael Bergmann, Michael Murray and Michael Rea Divine Evil: E Moral Character of the God of Abraham. Oxford University Press, 2011. [REVIEW]Olli-Pekka Vainio - 2012 - European Journal for Philosophy of Religion 4 (3):233--239.
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  24.  47
    Timothy Yoder. Hume on God: Irony, Deism and Genuine Theism. Continuum, 2008.Dan O'Brien - 2012 - European Journal for Philosophy of Religion 4 (4):201-206.
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  25.  23
    Stewart Goetz. Freedom, Teleology and Evil . Continuum, 2008.Kevin Timpe - 2011 - European Journal for Philosophy of Religion 3 (2):460--465.
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  26. Continuum Encyclopedia of British Philosophy.Maria Paola Ferretti - 2006
    Since the 1950`s in Britain, and perhaps in the rest of the world, the term pluralism is almost invariably associated with the name of Isaiah Berlin and his formulation of ‘value pluralism’. The core idea is that values (but also, on some interpretations, ends, duties and obligations) are irreducibly plural and heterogeneous, and nevertheless objective.
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  27. Quantum Mechanics as a Deterministic Theory of a Continuum of Worlds.Kim Joris Boström - 2015 - Quantum Studies: Mathematics and Foundations 2 (3):315-347.
    A non-relativistic quantum mechanical theory is proposed that describes the universe as a continuum of worlds whose mutual interference gives rise to quantum phenomena. A logical framework is introduced to properly deal with propositions about objects in a multiplicity of worlds. In this logical framework, the continuum of worlds is treated in analogy to the continuum of time points; both “time” and “world” are considered as mutually independent modes of existence. The theory combines elements of Bohmian mechanics (...)
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  28.  41
    An Integral Ontology of Addiction: A Multiple Object Existing as a Continuum of Ontological Complexity. Journal of Integral Theory and Practice, 9(1), 38–54.Guy du Plessis - 2014 - Journal of Integral Theory and Practice 9 (1):38-54.
    ABSTRACT In previous work I explored how Integral Theory can be applied as a metatheoretical and transdisciplinary framework, in an attempt to arrive at an integrally informed metatheory of addiction. There was an overemphasis on Integral Methodological Pluralism in that thread of research, without clarifying the ontological pluralism of addiction as a multiple object enacted by various methodologies. To arrive at a comprehensive integral metatheory and integral ontology of addiction, I believe it is necessary to include the conception of Integral (...)
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  29.  44
    La inocencia del origen: Continuum materno, parto y libertad.María José Binetti - 2018 - Journal of Philosophical Criticism 1 (1):5-30.
    La conciencia falogocéntrica se funda en el a priori incondicional de carácter ético-metafísico que sostiene la criminalización universal del ser como efecto de una culpa o caída original. Nacer supone para esta conciencia un pecado y la realidad material representa para ella un lugar de exilio, extrañeza y alienación. Sin embargo, cuando uno retrocede sobre la protohistoria de la conciencia humana, sorprende la determinación de integridad y sacralidad que el pensamiento primitivo le atribuye a lo real. Para la conciencia primitiva, (...)
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  30. What is Absolute Undecidability?†.Justin Clarke-Doane - 2013 - Noûs 47 (3):467-481.
    It is often alleged that, unlike typical axioms of mathematics, the Continuum Hypothesis (CH) is indeterminate. This position is normally defended on the ground that the CH is undecidable in a way that typical axioms are not. Call this kind of undecidability “absolute undecidability”. In this paper, I seek to understand what absolute undecidability could be such that one might hope to establish that (a) CH is absolutely undecidable, (b) typical axioms are not absolutely undecidable, and (c) if a (...)
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  31. Surreal Time and Ultratasks.Haidar Al-Dhalimy & Charles J. Geyer - 2016 - Review of Symbolic Logic 9 (4):836-847.
    This paper suggests that time could have a much richer mathematical structure than that of the real numbers. Clark & Read (1984) argue that a hypertask (uncountably many tasks done in a finite length of time) cannot be performed. Assuming that time takes values in the real numbers, we give a trivial proof of this. If we instead take the surreal numbers as a model of time, then not only are hypertasks possible but so is an ultratask (a sequence which (...)
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  32.  59
    À Maneira de Um Colar de Pérolas?André Porto - 2017 - Revista Portuguesa de Filosofia 73 (3-4):1381-1404.
    This paper offers an overview of various alternative formulations for Analysis, the theory of Integral and Differential Calculus, and its diverging conceptions of the topological structure of the continuum. We pay particularly attention to Smooth Analysis, a proposal created by William Lawvere and Anders Kock based on Grothendieck’s work on a categorical algebraic geometry. The role of Heyting’s logic, common to all these alternatives is emphasized.
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  33.  89
    Inferring Content: Metaphor and Malapropism.Zsófia Zvolenszky - 2015 - Croatian Journal of Philosophy 55 (44):163–182.
    It is traditionally thought that metaphorical utterances constitute a special— nonliteral—kind of departure from lexical constraints on meaning. Dan Sperber and Deirdre Wilson have been forcefully arguing against this: according to them, relevance theory’s comprehension/interpretation procedure for metaphorical utterances does not require details specifi c to metaphor (or nonliteral discourse); instead, the same type of comprehension procedure as that in place for literal utterances covers metaphors as well. One of Sperber and Wilson’s central reasons for holding this is that metaphorical (...)
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  34.  81
    Name Strategy: Its Existence and Implications.Mark D. Roberts - 2005 - Int.J.Computational Cognition 3:1-14.
    It is argued that colour name strategy, object name strategy, and chunking strategy in memory are all aspects of the same general phenomena, called stereotyping, and this in turn is an example of a know-how representation. Such representations are argued to have their origin in a principle called the minimum duplication of resources. For most the subsequent discussions existence of colour name strategy suffices. It is pointed out that the BerlinA- KayA universal partial ordering of colours and the frequency of (...)
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  35. Elämän jatkumo Leibnizilla.Markku Roinila - 2005 - In Jussi Haukioja & Juha Räikkä (eds.), Elämän merkitys: Filosofisia kirjoituksia elämästä. Unipress.
    Leeuwenhoekin kokeilut mikroskoopilla 1600-luvun lopulla olivat G. W. Leibnizille suuri innoituksen lähde. Monadologia-teoksessaan Leibniz hehkutti keksinnön merkitystä ja antoi ymmärtää, että sillä löydetyt pikkuruiset eliöt todistivat hänen metafyysisen pluralisminsa oikeaksi. Hänen mukaansa "huomataan, että pienimmässäkin osasessa ainetta on kokonainen elävien olioiden, eläinten, entelekhioiden ja sielujen maailma." Näin Leibnizin ajatus elämän jatkumosta sai uutta pontta. -/- Keksinnön vaikutus näkyy myös Leibnizin teoksessa Uusia esseitä inhimillisestä ymmärryksestä, jossa hän esittelee pienet perseptiot, joita voidaan pitää tietoteoreettisena vastineena pieneliöille. -/- Tarkastelen esitelmässäni Leibnizin reaktioita (...)
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  36. The Integral Construct of Science.Joseph Krecz - manuscript
    A number of general theories of physics provide a model for the fundamental rules that govern our universe, becoming a structural framework to which the new discoveries must conform. The theory of relativity is such a general theory. The theory of relativity is a complex theoretical framework that facilitates the understanding of the universal laws of physics. It is based on the curved space-time continuum fabric abstract concept, and it is well suited for interpreting cosmic events. More so, a (...)
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  37.  55
    Wittgenstein And Labyrinth Of ‘Actual Infinity’: The Critique Of Transfinite Set Theory.Valérie Lynn Therrien - 2012 - Ithaque 10:43-65.
    In order to explain Wittgenstein’s account of the reality of completed infinity in mathematics, a brief overview of Cantor’s initial injection of the idea into set- theory, its trajectory and the philosophic implications he attributed to it will be presented. Subsequently, we will first expound Wittgenstein’s grammatical critique of the use of the term ‘infinity’ in common parlance and its conversion into a notion of an actually existing infinite ‘set’. Secondly, we will delve into Wittgenstein’s technical critique of the concept (...)
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  38. The Eternal Unprovability Filter – Part I.Kiran Pai - 2016 - Dissertation, Thinkstrike
    I prove both the mathematical conjectures P ≠ NP and the Continuum Hypothesis are eternally unprovable using the same fundamental idea. Starting with the Saunders Maclane idea that a proof is eternal or it is not a proof, I use the indeterminacy of human biological capabilities in the eternal future to show that since both conjectures are independent of Axioms and have definitions connected with human biological capabilities, it would be impossible to prove them eternally without the creation and (...)
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  39.  60
    Mathematical and Moral Disagreement.Silvia Jonas - forthcoming - Philosophical Quarterly.
    The existence of fundamental moral disagreements is a central problem for moral realism and has often been contrasted with an alleged absence of disagreement in mathematics. However, mathematicians do in fact disagree on fundamental questions, for example on which set-theoretic axioms are true, and some philosophers have argued that this increases the plausibility of moral vis-à-vis mathematical realism. I argue that the analogy between mathemat- ical and moral disagreement is not as straightforward as those arguments present it. In particular, I (...)
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  40. Metalogic and the Overgeneration Argument.Salvatore Florio & Luca Incurvati - 2019 - Mind 128 (511):761-793.
    A prominent objection against the logicality of second-order logic is the so-called Overgeneration Argument. However, it is far from clear how this argument is to be understood. In the first part of the article, we examine the argument and locate its main source, namely, the alleged entanglement of second-order logic and mathematics. We then identify various reasons why the entanglement may be thought to be problematic. In the second part of the article, we take a metatheoretic perspective on the matter. (...)
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  41. Set-Theoretic Pluralism and the Benacerraf Problem.Justin Clarke-Doane - forthcoming - Philosophical Studies:1-18.
    Set-theoretic pluralism is an increasingly influential position in the philosophy of set theory (Balaguer [1998], Linksy and Zalta [1995], Hamkins [2012]). There is considerable room for debate about how best to formulate set-theoretic pluralism, and even about whether the view is coherent. But there is widespread agreement as to what there is to recommend the view (given that it can be formulated coherently). Unlike set-theoretic universalism, set-theoretic pluralism affords an answer to Benacerraf’s epistemological challenge. The purpose of this paper is (...)
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  42.  29
    An Alternative Model for Understanding Anaxagoras’ Mixture.David Torrijos-Castrillejo - 2019 - Philosophisches Jahrbuch 126:7-26.
    For Anaxagoras, both before the beginning of the world and in the present, “all is together” and “everything is in everything.” Various modern interpretations abound regarding the identity of this “mixture.” It has been explained as an aggregation of particles or as a continuous “fusion” of different sorts of ingredients. However—even though they are not usually recognized as a distinct group—there are a number of other scholars who, without seemingly knowing each other, have offered a different interpreta- tion: Anaxagoras’ mixture (...)
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  43. Deleuze on Leibniz : Difference, Continuity, and the Calculus.Daniel W. Smith - 2005 - In Stephen H. Daniel (ed.), Current Continental Theory and Modern Philosophy. Northwestern University Press.
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  44. Ontology and the Logistic Analysis of Reality.Barry Smith - 1993 - In Nicola Guarino & Roberto Poli (eds.), Proceedings of the International Workshop on Formal Ontology in Conceptual Analysis and Knowledge Representation. Italian National Research Council. pp. 51-68.
    I shall attempt in what follows to show how mereology, taken together with certain topological notions, can yield the basis for future investigations in formal ontology. I shall attempt to show also how the mereological framework here advanced can allow the direct and natural formulation of a series of theses – for example pertaining to the concept of boundary – which can be formulated only indirectly (if at all) in set-theoretic terms.
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  45. The Role of Epistemological Models in Veronese's and Bettazzi's Theory of Magnitudes.Paola Cantù - 2010 - In M. D'Agostino, G. Giorello, F. Laudisa, T. Pievani & C. Sinigaglia (eds.), New Essays in Logic and Philosophy of Science. College Publications.
    The philosophy of mathematics has been accused of paying insufficient attention to mathematical practice: one way to cope with the problem, the one we will follow in this paper on extensive magnitudes, is to combine the `history of ideas' and the `philosophy of models' in a logical and epistemological perspective. The history of ideas allows the reconstruction of the theory of extensive magnitudes as a theory of ordered algebraic structures; the philosophy of models allows an investigation into the way epistemology (...)
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  46. A More 'Exact Grasp' of the Soul? Tripartition of the Soul in Republic IV and Dialectic in the Philebus.Mitchell Miller - 2010 - In Kurt Pritzl (ed.), Truth. Catholic University of America Press. pp. 57-135.
    At Republic 435c-d and again at 504b-e, Plato has Socrates object to the city/soul analogy and declare that a “longer way” is necessary for gaining a more “exact grasp” of the soul. I argue that it is in the Philebus, in Socrates’ presentation of the “god-given” method of dialectic and in his distinctions of the kinds of pleasure and knowledge, that Plato offers the resources for reaching this alternative account. To show this, I explore (1) the limitations of the tripartition (...)
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  47.  89
    The Timaeus and the Longer Way.Mitchell Miller - 2003 - In Gretchen Reydams-Schils (ed.), Plato's Timaeus as Cultural Icon. University of Notre Dame Press. pp. 17-59.
    A study of the significance of Plato's resumption of the simile of model and likeness in the Timaeus, with attention to the place of the Timaeus in the "longer way" that Plato has Socrates announce in the Republic. The reader embarked on the "longer way," I argue, will find in the accounts of the elements and of the kinds of animals unannounced but detailed exhibitions of the "god-given" method of dialectic that Plato has Socrates announce in the Philebus.
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  48.  70
    The Choice Between the Dialogues and the 'Unwritten Teachings': A Scylla and Charybdis for the Interpreter?Mitchell Miller - 1995 - In Francisco Gonzalez (ed.), The Third Way: New Directions in Platonic Studies. Rowman & Littlefield. pp. 225-244.
    Must the interpreter of the Platonic dialogues choose between the so-called "unwritten teachings" reported by Aristotle in Metaphysics A6 and the dialogues? I argue, on the contrary, that a reading of the dialogues that is sensitive to their pedagogical irony will find the "unwritten teachings" exhibited in them. I identify the key teachings in Metaphysics A6, show how the Parmenides and the Philebus point to them, and explicate a full exhibition of them in the Statesman.
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  49.  23
    El infinito y el continuo en el sistema numérico.Eduardo Dib - 1995 - Dissertation, Universidad Nacional de Rio Cuarto
    This monography provides an overview of the conceptual developments that leads from the traditional views of infinite (and their paradoxes) to the contemporary view in which those old paradoxes are solved but new problems arise. Also a particular insight in the problem of continuity is given, followed by applications in theory of computability.
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  50.  6
    Tiempo lógico y tiempo real.Indalecio García - 2012 - Ontology Studies: Cuadernos de Ontología:289-301.
    Aristotle describes time as continuous (cf. Phys. 219a 10-15). We argue here, first, that the time's continuity and magnitude's continuity differ, even though time's continuity depends on magnitude: actually a magnitude can be divided, that is, can fail to be continuous, but not time: time can be never actually divided, because an actual division in time would imply something like a real point in which time is denied, and that is impossible according to Aristotle (cf. Phys. 251b 10-28). The only (...)
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