Results for ' continuity of nonsplitting'

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  1.  20
    Stability Results Assuming Tameness, Monster Model, and Continuity of Nonsplitting.Samson Leung - 2024 - Journal of Symbolic Logic 89 (1):383-425.
    Assuming the existence of a monster model, tameness, and continuity of nonsplitting in an abstract elementary class (AEC), we extend known superstability results: let $\mu>\operatorname {LS}(\mathbf {K})$ be a regular stability cardinal and let $\chi $ be the local character of $\mu $ -nonsplitting. The following holds: 1.When $\mu $ -nonforking is restricted to $(\mu,\geq \chi )$ -limit models ordered by universal extensions, it enjoys invariance, monotonicity, uniqueness, existence, extension, and continuity. It also has local character (...)
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  2.  3
    The Continuity of Wittgenstein's Thought.John Koethe - 1996 - Ithaca: Cornell University Press.
    Ludwig Wittgenstein's philosophical work is informed throughout by a particular broad theme: that the semantic and mentalistic attributes of language and human life are shown by verbal and nonverbal conduct, but that they resist incorporation into the domain of the straightforwardly factual. So argues John Koethe, in contrast to the standard view that Wittgenstein's earlier and later philosophical positions are sharply opposed. According to the received view, Wittgenstein's thinking underwent a radical transformation after the Tractatus, leading him to abandon classical (...)
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  3.  31
    Strong continuity of life and mind: the free energy framework, predictive processing and ecological psychology.Matthew Sims - 2021 - Dissertation, University of Edinburgh
    Located at the intersection of philosophy of cognitive science and philosophy of biology, this thesis aims to provide a novel approach to understanding the strong continuity between life and mind. This thesis applies the Free Energy Framework, predictive processing and the conceptual apparatus from ecological psychology to reveal different manners in which the organizational processes and principles underlying life have been enriched so as to result in cognitive processes. By using these anticipatory cognitive frameworks this thesis unveils different forms (...)
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  4. What Topic Continuity Problem?Alexander W. Kocurek - 2022 - Inquiry: An Interdisciplinary Journal of Philosophy.
    A common objection to the very idea of conceptual engineering is the topic continuity problem: whenever one tries to “reengineer” a concept, one only shifts attention away from one concept to another. Put differently, there is no such thing as conceptual revision: there’s only conceptual replacement. Here, I show that topic continuity is compatible with conceptual replacement. Whether the topic is preserved in an act of conceptual replacement simply depends on what is being replaced (a conceptual tool or (...)
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  5.  6
    The continuity of Peirce's thought.Kelly A. Parker - 1998 - Nashville: Vanderbilt University Press.
    A comprehensive and systematic reconstruction of the philosophy of Charles S. Peirce, perhaps America's most far-ranging and original philosopher, which reveals the unity of his complex and influential body of thought. We are still in the early stages of understanding the thought of C. S. Peirce (1839-1914). Although much good work has been done in isolated areas, relatively little considers the Peircean system as a whole. Peirce made it his life's work to construct a scientifically sophisticated and logically rigorous philosophical (...)
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  6.  9
    Genome editing: the dynamics of continuity, convergence, and change in the engineering of life.Paul Martin, Michael Morrison, Ilke Turkmendag, Brigitte Nerlich, Aisling McMahon, Stevienna de Saille & Andrew Bartlett - 2020 - New Genetics and Society 39 (2):219-242.
    Genome editing enables very accurate alterations to DNA. It promises profound and potentially disruptive changes in healthcare, agriculture, industry, and the environment. This paper presents a multidisciplinary analysis of the contemporary development of genome editing and the tension between continuity and change. It draws on the idea that actors involved in innovation are guided by “sociotechnical regimes” composed of practices, institutions, norms, and cultural beliefs. The analysis focuses on how genome editing is emerging in different domains and whether this (...)
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  7.  2
    The continuity of legal systems in theory and practice.Benjamin Spagnolo - 2015 - Oxford: Hart Publishing.
    Introduction -- Australia : 1788-2001 -- Kelsen : authorised constitutional change -- Application of Kelsen's account -- Raz : continuity of social form -- Application of Raz's account.
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  8.  4
    The continuity of the vocal and performing heritage of the multi-genre song culture of the Kuban Cossacks.Anastasiya Vladimirovna Mironova - forthcoming - Philosophy and Culture (Russian Journal).
    The object of the study is the continuous preservation of the multi-genre Cossack folk song, which represents a key purpose in the implementation of the preservation of the traditional mentality at the present stage. The subject of this work is the immanent complexes of traditional song culture in the folklore heritage. The purpose of this study is to structure the issue of the cultural interrelation of the ethnic canvas of the Kuban Cossack folk songs, in the originality of the genesis (...)
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  9. The continuity of inquiry and normative philosophy of science.Somogy Varga - 2021 - Metaphilosophy 52 (5):655-667.
    This paper aims to contribute to debates about the nature of philosophical inquiry and its relation to science. The starting point is the Discontinuity View (DV), which holds that philosophy is discontinuous with science. Upon critically engaging two lines of argument in favor of DV, the paper presents and defends the Continuity View (CV), according to which philosophy and science are continuous forms of inquiry. The critical engagement sheds light on continuities between philosophical and scientific inquiry while underlining special (...)
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  10. Continuity of change in Kant’s dynamics.Michael Bennett McNulty - 2019 - Synthese 196 (4):1595-1622.
    Since his Metaphysische Anfangsgründe der Naturwissenschaft was first published in 1786, controversy has surrounded Immanuel Kant’s conception of matter. In particular, the justification for both his dynamical theory of matter and the related dismissal of mechanical philosophy are obscure. In this paper, I address these longstanding issues and establish that Kant’s dynamism rests upon Leibnizian, metaphysical commitments held by Kant from his early pre-Critical texts on natural philosophy to his major critical works. I demonstrate that, throughout his corpus and inspired (...)
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  11.  7
    The Identity and Continuity of Croatian Philosophy.Srećko Kovač - 2022 - Prilozi Za Istrazivanje Hrvatske Filozofske Baštine 48 (2):287-304.
    After delineating the corpus of Croatian philosophy, the historical and conceptual identity and continuity of Croatian philosophy are analysed with respect to several aspects: (1) the historical space and time of Croatian philosophy; (2) its socio-cultural role and character (educational, linguistic and national-political); (3) its traditions and interconnections; and (4) the idea of Croatian philosophy. Special attention is paid to the difference between Franjo pl. Marković’s views on Croatian philosophy and the present state-of-the-art. Finally, the roots of Croatian philosophy (...)
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  12. The Continuity of Consciousness.Wendell T. Bush - 1907 - Journal of Philosophy, Psychology and Scientific Methods 4 (16):428-432.
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  13.  83
    Life-mind continuity: untangling categorical, extensional, and systematic aspects.Sebastian Sander Oest - 2024 - Synthese 203 (6):1-22.
    In this paper, I argue that current attempts at classifying life–mind continuity (LMC) feature several important ambiguities. We can resolve these ambiguities by distinguishing between the extensional, categorical, and systematic relationships that LMC might encompass. In Sect. 1, I begin by introducing the notion of LMC and the theory behind it. In Sect. 2, I show how different ideas of mind shape different approaches to continuity and how to achieve its aim. In Sect. 3, I canvas various canonical (...)
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  14.  6
    Continuity of nursing and the time of sickness.Ingunn Elstad & Kirsti Torjuul - 2009 - Nursing Philosophy 10 (2):91-102.
    This paper explores the relationship between temporal continuity in nursing and temporal features of sickness. It is based on phenomenological and hermeneutical philosophy, empirical studies of sickness time, and the nursing theories of Nightingale, of Benner and of Benner and Wrubel. In the first part, temporal continuity is defined as distinct from interpersonal continuity. Tensions between temporal continuity and discontinuity are discussed in the contexts of care management, of conceptualisations of disease and of time itself. Temporal (...)
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  15.  4
    Discussions on Forms and Continuity of Divine Revelation in Tafsir and Sufi Literature.Ahmet KÜÇÜK & Mohammd Ajmal HANİF - 2022 - Fırat Üniversitesi İlahiyat Fakültesi Dergisi 27 (1):23-35.
    Divine revelation (waḥy), as a Qur'anic and religious concept in exegetical sources, isusually mentioned together with the institution of Prophethood (nubuwwa). Revelation came to itsend with the end of Prophethood. Therefore, although some have evaluated inspiration (ilhām) andtrue dream (ruʾyā sādiqa) within the this context of revelation, according to most of Islamic scholars,it is not permissible to refer to the recevings of the divinely saints as revelation. Revelation, for whichthe holy Qur'an designates three pattern of descension, is discussed also in (...)
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  16.  18
    The Continuity of Consciousness.Oliver Rashbrook - 2011 - European Journal of Philosophy 21 (4):611-640.
    : In this paper I discuss two puzzles that concern the sense in which consciousness can be described as ‘continuous’. The first puzzle arises out of recent work by Dainton and Tye, both of whom appear to oscillate between ascribing the property of ‘continuity’ to the stream of experience, and ascribing it to the objects of experience. The second puzzle concerns the notion that the stream of consciousness could be in some sense unreal or illusory—a puzzle stemming from the (...)
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  17.  3
    CONTINUITY OF PHILOSOPHICAL TRADITONS: Antiquity and Modernity (based on Plato’s “Cratylus” and Proclus’ “Commentary on Cratylus”).Pavlo Sodomora - 2020 - Filosofska Dumka (Philosophical Thought) 4:6-22.
    The phenomenon of language, being so familiar to us, still possesses unknown nature, origin, and, as we may say, function. For Plato, language was the way to cognition of the Universe. The phi- losophy of language, which was primarily initiated by Plato in his “Cratylus”, still has not ob- tained answers to the questions settled by great Greek thinker. In fact, it just acquired various solutions among different approaches during all four ages of understanding, namely Ancient, Scholastic, Modern and Post-modern (...)
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  18.  4
    Continuities of Pragmatism, Settling Metaphysical Disputes and the Analytic-Continental Divide. Part I.James Edward Hackett - 2018 - Russian Journal of Philosophical Sciences 5:103-119.
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  19.  43
    Verbal disputes and topic continuity.Viktoria Knoll - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy.
    Changing concepts comes with a risk of creating merely verbal disputes. Accounts of topic continuity (such as Herman Cappelen’s) are supposed to solve this problem. As this paper shows, however, no existing solution avoids the danger of mere verbalness. On the contrary, accounts of topic continuity in fact increase the danger of overlooking merely verbal disputes between pre- and post-ameliorators. Ultimately, this paper suggests accepting the danger of mere verbalness resulting from a change in topic as a downside (...)
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  20.  6
    The continuity of the Platonic tradition during the Middle Ages: with a new preface and four supplementary chapters ; together with, Plato's Parmenides in the Middle Ages and the Renaissance: with a new introductory preface.Raymond Klibansky - 1982 - Millwood, N.Y.: Kraus International Publications. Edited by Raymond Klibansky.
    The continuity of the platonic tradition during the Middle Ages ... ; together with, Plato's Parmenides in the Middle Ages and the Renaissance.
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  21.  6
    Continuance of Personality and ālaya-vijñāna.Cho Soo Dong - 2008 - 동서철학연구(Dong Seo Cheol Hak Yeon Gu; Studies in Philosophy East-West) 50:269-291.
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  22.  8
    Automatic continuity of group homomorphisms.Christian Rosendal - 2009 - Bulletin of Symbolic Logic 15 (2):184-214.
    We survey various aspects of the problem of automatic continuity of homomorphisms between Polish groups.
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  23. The continuity of levels of nature.William G. Lycan - 1990 - In Mind and cognition: a reader. Cambridge, Mass., USA: Blackwell. pp. 77--96.
  24.  5
    A continuity of Markov blanket interpretations under the free-energy principle.Anil Seth, Tomasz Korbak & Alexander Tschantz - 2022 - Behavioral and Brain Sciences 45:e208.
    Bruineberg and colleagues helpfully distinguish between instrumental and ontological interpretations of Markov blankets, exposing the dangers of using the former to make claims about the latter. However, proposing a sharp distinction neglects the value of recognising a continuum spanning from instrumental to ontological. This value extends to the related distinction between “being” and “having” a model.
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  25.  4
    Caste and Buddhist Philosophy: Continuity of Some Buddhist Arguments against the Realist Interpretation of Social Denominations. By Vincent Eltschinger. Translated by Raynald Prévèreau in collaboration with the author.Roger P. Jackson - 2021 - Journal of the American Oriental Society 136 (1).
    Caste and Buddhist Philosophy: Continuity of Some Buddhist Arguments against the Realist Interpretation of Social Denominations. By Vincent Eltschinger. Translated by Raynald Prévèreau in collaboration with the author. Buddhist Traditions Series, vol. 60. Delhi: Motilal Banarsidass, 2012. Pp. xxi + 235. INR 650.
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  26.  9
    Continuity and Infinitesimals.John L. Bell - unknown
    The usual meaning of the word continuous is “unbroken” or “uninterrupted”: thus a continuous entity —a continuum—has no “gaps.” We commonly suppose that space and time are continuous, and certain philosophers have maintained that all natural processes occur continuously: witness, for example, Leibniz's famous apothegm natura non facit saltus—“nature makes no jump.” In mathematics the word is used in the same general sense, but has had to be furnished with increasingly precise definitions. So, for instance, in the later 18th century (...)
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  27.  2
    Experienced Continuity of Experiences.Valtteri Arstila & Julian Kiverstein - 2014 - Procedia - Social and Behavioral Sciences 126 (21):64-65.
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  28.  7
    On the Continuity of Geometrized Newtonian Gravitation and General Relativity.Saeed Masoumi - 2021 - Foundations of Physics 51 (2):1-33.
    Pessimistic meta-induction is a powerful argument against scientific realism, so one of the major roles for advocates of scientific realism will be trying their best to give a sustained response to this argument. On the other hand, it is also alleged that structural realism is the most plausible form of scientific realism; therefore, the plausibility of scientific realism is threatened unless one is given the explicit form of a structural continuity and minimal structural preservation for all our current theories. (...)
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  29.  15
    Examining the Continuity between Life and Mind: Is There a Continuity between Autopoietic Intentionality and Representationality?Wanja Wiese & Karl J. Friston - 2021 - Philosophies 6 (1):18.
    A weak version of the life-mind continuity thesis entails that every living system also has a basic mind (with a non-representational form of intentionality). The strong version entails that the same concepts that are sufficient to explain basic minds (with non-representational states) are also central to understanding non-basic minds (with representational states). We argue that recent work on the free energy principle supports the following claims with respect to the life-mind continuity thesis: (i) there is a strong (...) between life and mind; (ii) all living systems can be described as if they had representational states; (iii) the ’as-if representationality’ entailed by the free energy principle is central to understanding both basic forms of intentionality and intentionality in non-basic minds. In addition to this, we argue that the free energy principle also renders realism about computation and representation compatible with a strong life-mind continuity thesis (although the free energy principle does not entail computational and representational realism). In particular, we show how representationality proper can be grounded in ’as-if representationality’. (shrink)
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  30.  22
    Continuity properties in constructive mathematics.Hajime Ishihara - 1992 - Journal of Symbolic Logic 57 (2):557-565.
    The purpose of this paper is an axiomatic study of the interrelations between certain continuity properties. We deal with principles which are equivalent to the statements "every mapping is sequentially nondiscontinuous", "every sequentially nondiscontinuous mapping is sequentially continuous", and "every sequentially continuous mapping is continuous". As corollaries, we show that every mapping of a complete separable space is continuous in constructive recursive mathematics (the Kreisel-Lacombe-Schoenfield-Tsejtin theorem) and in intuitionism.
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  31. The Continuity of Christian Doctrine.R. P. C. Hanson - 1981
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  32. Consciousness and Continuity.Andrew Y. Lee - manuscript
    Let a smooth experience be an experience with perfectly gradual changes in phenomenal character. Consider, as examples, your visual experience of a blue sky or your auditory experience of a rising pitch. Do the phenomenal characters of smooth experiences have continuous or discrete structures? If we appeal merely to introspection, then it may seem that we should think that smooth experiences are continuous. This paper (1) uses formal tools to clarify what it means to say that an experience is continuous (...)
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  33.  3
    The continuity of chinese humanism in the shang-chou period.Yeu-Quang Wong - 1992 - Journal of Chinese Philosophy 19 (4):445-462.
    SUMMARYThis paper purports to show that important traces of Chinese humanism existed in the Shang long before the founding of the Chou dynasty in 1111 B.C. despite the opinion in vogue which regards superstition as the Shang's style of life and humanism as the dominant theme of the Chou's culture. The discovery of humanism in the Shang enables us not only to endorse once more the continuity of cultures of Shang and Chou, but also to suggest placing the beginning (...)
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  34.  14
    The Continuity of Metaphor: Evidence From Temporal Gestures.Esther Walker & Kensy Cooperrider - 2016 - Cognitive Science 40 (2):481-495.
    Reasoning about bedrock abstract concepts such as time, number, and valence relies on spatial metaphor and often on multiple spatial metaphors for a single concept. Previous research has documented, for instance, both future-in-front and future-to-right metaphors for time in English speakers. It is often assumed that these metaphors, which appear to have distinct experiential bases, remain distinct in online temporal reasoning. In two studies we demonstrate that, contra this assumption, people systematically combine these metaphors. Evidence for this combination was found (...)
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  35.  4
    The Alt-Right’s continuation of the ‘cultural war’ in Euro-American societies.Tamir Bar-On - 2021 - Thesis Eleven 163 (1):43-70.
    In this paper, I argue that the Alt-Right needs to be taken seriously by the liberal establishment, the general public, and leftist cultural elites for five main reasons: 1) its ‘right-wing Gramscianism’ borrows from the French New Right and the French and pan-European Identitarian movement. This means that it is engaged in the continuation of a larger Euro-American metapolitical struggle to change hearts and minds on issues related to white nationalism, anti-Semitism, and racialism; 2) it is indebted to the metapolitical (...)
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  36.  13
    A Continuation of Atomism: Shahrastānī on the Atom and Continuity.Jon Mcginnis - 2019 - Journal of the History of Philosophy 57 (4):595-619.
    while it should go without saying, it bears mentioning: the history of atomism in the medieval Islamic East is not the same as that of the medieval Christian West. One simply cannot assume that what is true of the conception of the atom in the West also need be true of the conception of the atom in the East, or even that the two traditions are drawing upon and responding to the same set of literature. In fact, the question is (...)
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  37.  9
    Systematicity and the Continuity Thesis.K. Brad Wray - 2019 - Synthese 196 (3):819-832.
    Hoyningen-Huene develops an account of what science is, distinguishing it from common sense. According to Hoyningen-Huene, the key distinguishing feature is that science is more systematic. He identifies nine ways in which science is more systematic than common sense. I compare Hoyningen-Huene’s view to a view I refer to as the “Continuity Thesis.” The Continuity Thesis states that scientific knowledge is just an extension of common sense. This thesis is associated with Quine, Planck, and others. I argue that (...)
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  38.  89
    Where there is life there is mind: In support of a strong life-mind continuity thesis.Michael David Kirchhoff & Tom Froese - 2017 - Entropy 19.
    This paper considers questions about continuity and discontinuity between life and mind. It begins by examining such questions from the perspective of the free energy principle (FEP). The FEP is becoming increasingly influential in neuroscience and cognitive science. It says that organisms act to maintain themselves in their expected biological and cognitive states, and that they can do so only by minimizing their free energy given that the long-term average of free energy is entropy. The paper then argues that (...)
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  39.  18
    The Continuation of Material Being in Seibt's Process Theory.M. Gregory Oakes - 2017 - Process Studies 46 (2):157-185.
    I call "material continuation" the fact of one material thing or event being followed by another in time. In this article, I address the question why material continuation obtains, as it seems to do. Johanna Seibt's theory of dynamism promises to explain material continuation by reference to Aristotle's concept of energeia. I argue that her account fails to explain how one thing at one time might be followed by another at another.
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  40.  23
    Marxism-Leninism and Christianity: Continuation of I. Vostorgov's Research.Nikolai Nikolaevich Barinov - forthcoming - Philosophy and Culture (Russian Journal).
    This article is a study of the compatibility of the theory and practice of Marxism-Leninism and Orthodox Christianity. The great importance of this topic is due to its direct connection with the improvement of society and the ongoing controversy on this issue with attempts to integrate communism with Christianity. The work provides a historical and theological analysis based on a critical study of the works of the founders of Marxism-Leninism, their associates, historical and theological works, as well as historical documents (...)
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  41.  22
    Phenomenal Continuity and the Bridge Problem.Johan E. Gustafsson - 2011 - Philosophia 39 (2):289-296.
    Any theory that analyses personal identity in terms of phenomenal continuity needs to deal with the ordinary interruptions of our consciousness that it is commonly thought that a person can survive. This is the bridge problem. The present paper offers a novel solution to the bridge problem based on the proposal that dreamless sleep need not interrupt phenomenal continuity. On this solution one can both hold that phenomenal continuity is necessary for personal identity and that persons can (...)
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  42.  3
    Potential continuity of colorings.Stefan Geschke - 2008 - Archive for Mathematical Logic 47 (6):567-578.
    We say that a coloring ${c: [\kappa]^n\to 2}$ is continuous if it is continuous with respect to some second countable topology on κ. A coloring c is potentially continuous if it is continuous in some ${\aleph_1}$ -preserving extension of the set-theoretic universe. Given an arbitrary coloring ${c:[\kappa]^n\to 2}$ , we define a forcing notion ${\mathbb P_c}$ that forces c to be continuous. However, this forcing might collapse cardinals. It turns out that ${\mathbb P_c}$ is c.c.c. if and only if c (...)
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  43.  4
    Illustrating continuity between linguistic and non-linguistic human communication and expression.Martin Stehberger - 2023 - Behavioral and Brain Sciences 46:e15.
    This commentary presents two illustrations, from the world of poker, of the continuity between linguistic and non-linguistic communication and expression, in support of Heintz & Scott-Phillips's account of the evolution of human expression and communication. I also come across the presumption of relevance in the context of a poker table.
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  44. The Continuity of Peirce’s Thought.Kelly A. Parker - 1998 - Transactions of the Charles S. Peirce Society 35 (1):214-223.
     
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  45. Continuity of the rational: Naturalism and historical understanding in Collingwood.Serge Grigoriev - 2008 - Journal of the Philosophy of History 2 (2):119-137.
    It is sometimes suggested that Collingwood's philosophy of history is decidedly anti-naturalist and argues for a complete separation between history and the natural sciences. The purpose of this paper is to examine this suggestion and to argue that Collingwood's conception of the relationship between history and natural sciences is much more subtle and nuanced than such a view would allow for. In fact, there is little in Collingwood to offend contemporary naturalistic sensibilities reasonably construed. The impression that Collingwood's views are (...)
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  46.  6
    Continuity of Principles” in John Henry Newman’s An Essay on the Development of Christian Doctrine.Lucas Laborde - 2013 - Newman Studies Journal 10 (2):59-73.
    Although Newman’s Essay on Development has been studied both in itself and as a milestone in his spiritual journey, scant attention has been given to a detailed analysis of his “notes” for doctrinal development. The following study examines the second note of development—“continuity of principles”—in order to ascertain both Newman’s understanding of “principles” and the way these principles can have continuity.
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  47.  6
    Continuity of Singularities.Brook Muller - 2007 - Environmental Philosophy 4 (1-2):179-191.
    Environmental designers employ ordering systems as a means of achieving spatial clarity and richness of organization while contending with the complexities that characterize design endeavors. This paper considers aesthetic potentialities when built and natural orders are considered together, specifically when an architectural investigation and ecological restoration are articulated as one integrated problem. After considering a range of approaches to the ordering the built and natural, I look to Gilles Deleuze and Felix Guattari’s notion of ‘continuity of singularities’ as intimating (...)
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  48. The Continuity of Peirce’s Thought.Kelly A. Parker - 1998 - The Personalist Forum 15 (2):432-437.
     
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  49. Temporal externalism, conceptual continuity, meaning, and use.Henry Jackman - 2020 - Inquiry: An Interdisciplinary Journal of Philosophy 63 (9-10):959-973.
    ABSTRACT Our ascriptions of content to past utterances assign to them a level of conceptual continuity and determinacy that extends beyond what could be grounded in the usage up to their time of utterance. If one accepts such ascriptions, one can argue either that future use must be added to the grounding base, or that such cases show that meaning is not, ultimately, grounded in use. The following will defend the first option as the more promising of the two, (...)
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  50.  16
    Continuity and Mathematical Ontology in Aristotle.Keren Wilson Shatalov - 2020 - Journal of Ancient Philosophy 14 (1):30-61.
    In this paper I argue that Aristotle's understanding of mathematical continuity constrains the mathematical ontology he can consistently hold. On my reading, Aristotle can only be a mathematical abstractionist of a certain sort. To show this, I first present an analysis of Aristotle's notion of continuity by bringing together texts from his Metaphysica and Physica, to show that continuity is, for Aristotle, a certain kind of per se unity, and that upon this rests his distinction between (...) and contiguity. Next I argue briefly that Aristotle intends for his discussion of continuity to apply to pure mathematical objects such as lines and figures, as well as to extended bodies. I show that this leads him to a difficulty, for it does not at first appear that the distinction between continuity and contiguity can be preserved for abstract mathematicals. Finally, I present a solution according to which Aristotle's understanding of continuity can only be saved if he holds a certain kind of mathematical ontology. (shrink)
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