Results for 'Transcendental numbers. '

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  1.  9
    Transcendental Arguments.Derk Pereboom - 2016 - In Herman Cappelen, Tamar Gendler & John Hawthorne (eds.), The Oxford Handbook of Philosophical Methodology. Oxford, United Kingdom: Oxford University Press.
    This article explores Immanuel Kant’s transcendental argument in philosophy. According to Kant, a transcendental argument begins with a compelling first premise about our thought, experience, knowledge, or practice, and then reasons to a conclusion that is a substantive and unobvious presupposition and necessary condition of the truth of this premise, or as he sometimes puts it, of the possibility of this premise’s being true. Transcendental arguments are typically directed against skepticism of some kind. For example, Kant’s (...) Deduction targets Humean skepticism about the applicability of a priori metaphysical concepts, and his Refutation of Idealism takes aim at skepticism about an external world. The article first considers the nature of transcendental arguments before analysing a number of specific transcendental arguments, including Kant’s Transcendental Deduction and Refutation of Idealism. It also discusses contemporary arguments, such as those forwarded by P. F. Strawson and and Christine Korsgaard, together with their problems and prospects. (shrink)
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  2. Transcendental Disagreement.Giorgio Lando & Giuseppe Spolaore - 2014 - The Monist 97 (4):592-620.
    In metaphysical theorizing, it is common to use expressions whose function is that of denoting or being true of absolutely everything. Adopting a scolastic term, these may be called ‘transcendentals’. Different metaphysical theories may adopt different transcendentals, the most usual candidates being ‘thing’, ‘entity’, ‘object’, ‘be’, ‘exist’, and their counterparts in various languages dead or alive. We call ‘transcendental disagreement’ any dissent between philosophical theories or traditions that may be described as a disagreement in the choice of transcendentals. Examples (...)
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  3.  83
    The nature of a transcendental argument: toward a critique of Dialectic: the Pulse of Freedom.Jamie Morgan - 2004 - Journal of Critical Realism 3 (2):305-340.
    Surprisingly, over the decade or so since its publication, Bhaskar's Dialectic: The Pulse of Freedom has received relatively little in the way of systematic analysis either by critical realists or their critics. There have been, however, a number of critiques that have dealt with some of its themes and developments in a variety of contexts. In the following study, I assess the argument of Alex Callinicos. Callinicos' critique, though in many ways sympathetic, is fundamental to critical realism. Engaging with it (...)
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  4.  7
    I.Kant's Transcendental Philosophy and Research in the Field of Artificial Intelligence: Points of Intersection.Darya Kozolupenko - 2024 - Studies in Transcendental Philosophy 5 (1-2).
    The article considers I.Kant's transcendental philosophy as a possible basis for further research in the field of artificial intelligence. It is demonstrated that the main criticism of transcendentalism associated with the exclusion of ontology "in its pure form" in I.Kant's philosophy is irrelevant if artificial intelligence is understood by "pure reason", since one of the features of the latter is the absence of an "ontological assumption". A number of I.Kant's propositions quite adequately describe the basic mechanisms of artificial intelligence, (...)
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  5. Transcendental Constructivism: On Method From Kant's First "Critique" to Fichte's Later Jena "Wissenschaftslehre".Kevin Zanelotti - 2003 - Dissertation, University of Kentucky
    In this dissertation, I defend an interpretation of the methodological development of transcendental philosophy from Kant's first Critique to Fichte's later Jena-period Wissenschaftslehre. Both Kant and Fichte claim that experience is founded upon certain a priori subjective structures and capacities. However, I argue that the methodology of Kant's first Critique includes a number of assumptions and explicit doctrines that limit his ability to explain experience. The chief problem of Kant's theory of method is, I claim, his distinction between the (...)
     
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  6. Transcendental idealism and metaphysics: Kant’s commitment to things as they are in themselves.Lucy Allais - 2010 - Kant Yearbook 2 (1):1-32.
    One of Kant’s central central claims in the Critique of Pure Reason is that we cannot have knowledge of things as they are in themselves. This claim has been regarded as problematic in a number of ways: whether Kant is entitled to assert both that there are things in themselves and that we cannot have knowledge of them, and, more generally, what Kant’s commitment to things in themselves amounts to. A number of commentators deny that Kant is committed to there (...)
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  7.  27
    Transcendental Phenomenology as Human Possibility: Husserl and Fink on the Phenomenologizing Subject by Denis DŽANIĆ (review).D. J. Hobbs - 2023 - Review of Metaphysics 77 (1):145-147.
    In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Transcendental Phenomenology as Human Possibility: Husserl and Fink on the Phenomenologizing Subject by Denis DŽANIĆD. J. HobbsDŽANIĆ, Denis. Transcendental Phenomenology as Human Possibility: Husserl and Fink on the Phenomenologizing Subject. Cham: Springer, 2023. x + 236 pp. Cloth, $119.99Denis Džanić’s Transcendental Phenomenology as Human Possibility, despite its superficially historical focus on a specific period of collaboration between Edmund Husserl and his somewhat wayward protégé Eugen (...)
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  8. Internalism, externalism, and transcendental idealism.Dan Zahavi - 2008 - Synthese 160 (3):355-374.
    The analyses of the mind–world relation offered by transcendental idealists such as Husserl have often been dismissed with the argument that they remain committed to an outdated form of internalism. The first move in this paper will be to argue that there is a tight link between Husserl’s transcendental idealism and what has been called phenomenological externalism, and that Husserl’s endorsement of the former commits him to a version of the latter. Secondly, it will be shown that key (...)
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  9.  10
    On Wittgenstein's transcendental deductions.James Connelly - 2017 - Belgrade Philosophical Annual 30:151-173.
    In this paper, I aim to shed light on the use of transcendental deductions, within demonstrations of aspects of Wittgenstein's early semantics, metaphysics, and philosophy of mathematics. I focus on two crucial claims introduced by Wittgenstein within these transcendental deductions, each identified in conversation with Desmond Lee in 1930-31. Specifically, the claims are of the logical independence of elementary propositions, and that infinity is a number. I show how these two, crucial claims are both demonstrated and subsequently deployed (...)
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  10.  16
    The Transcendental and the Immanent as Liturgical Experience – the Greek Orthodox Case.Manussos Marangudakis & Theodoros Chadjipadelis - 2021 - ProtoSociology 38:244-269.
    The essay is a quantitative analysis of a questionnaire distributed to a sample of 775 worshipers immediately after the Sunday Liturgy in a random number of churches in Athens, Thessaloniki and Mytilini. The questions addressed to them try to grasp feelings and thoughts felt during liturgical experience and effervescence as such, as well as reflections concerning the religious and the political self. The findings suggest that the liturgy has profound effects on those who attend service often, but it is not (...)
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  11.  61
    Deconstructive Turn in Transcendental Thinking.Ilyina Anna - 2015 - Sententiae 33 (2):125-148.
    The paper addresses the problem of the place of deconstruction in the history of transcendental philosophy. J. Derrida’s project is considered as one of the most representative and consistent realizations of theoretical foundations of transcendentalism along with prominent conceptions such as Kant’s critique and Husserl’s phenomenology. The author suggests a number of attributes of transcendental thinking that allow historical reconstruction of the transcendental paradigm. Derridian approach is considered as a turn towards this tradition, conceived as a (...) tradition par exellence, guided by the attitude of «turning. Historical legacy of deconstructive «turning» is analyzed with respect to Husserlian Rückfrage: return-inquiry as method, idea and attitude, reproducing in deconstructive strategy of interpretative critique. A concept of hyperbolic transcendentalism is introduced in order to (1) define a deconstructive version of transcendental philosophy and (2) indicate an immanent tendency in the transcendental thought, constitutive for both Kantian critical project and Husserlian strive towards intellectual radicalism extending from methodological hyperboles (reduction and epoche) to radicalization of «transcendental motive». The author relies upon the concept of quasi-transcendental (thematized by Derrida himself), which defines a mode of de-dogmatization, critical purifying and preservation of proper transcendental foundations of philosophical thinking. (shrink)
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  12.  36
    The transcendental argument in Kant's.Robert J. Benton - 1978 - Journal of Value Inquiry 12 (3):225-237.
    From this summary account of the deduction we can draw a number of conclusions: In the first place, the guiding thesis used to make sense of the argument was that the argument needed to ground not just the moral law but a cognitive framework within which the moral law is the highest law. This distinction is important since it allows us to distinguish in the practical philosophy (as in the theoretical) a level of transcendental argumentation from a level of (...)
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  13. Brain, Mind, World: Predictive Coding, Neo-Kantianism, and Transcendental Idealism.Dan Zahavi - 2018 - Husserl Studies 34 (1):47-61.
    Recently, a number of neuroscientists and philosophers have taken the so-called predictive coding approach to support a form of radical neuro-representationalism, according to which the content of our conscious experiences is a neural construct, a brain-generated simulation. There is remarkable similarity between this account and ideas found in and developed by German neo-Kantians in the mid-nineteenth century. Some of the neo-Kantians eventually came to have doubts about the cogency and internal consistency of the representationalist framework they were operating within. In (...)
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  14. Strawson’s modest transcendental argument.D. Justin Coates - 2017 - British Journal for the History of Philosophy 25 (4):799-822.
    Although Peter Strawson’s ‘Freedom and Resentment’ was published over fifty years ago and has been widely discussed, its main argument is still notoriously difficult to pin down. The most common – but in my view, mistaken – interpretation of Strawson’s argument takes him to be providing a ‘relentlessly’ naturalistic framework for our responsibility practices. To rectify this mistake, I offer an alternative interpretation of Strawson’s argument. As I see it, rather than offering a relentlessly naturalistic framework for moral responsibility, Strawson (...)
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  15.  4
    Life of the Transcendental Ego: Essays in Honor of William Earle.Edward S. Casey & Donald V. Morano (eds.) - 1986 - State University of New York Press.
    The Life of the Transcendental Ego presents essays by a number of distinguished writers in the continental tradition of philosophy. The essays include problems in transcendental philosophy, the nature of autobiography, the validity of existentialism, the possibilities of phenomenology, as well as focused discussions of concrete issues in aesthetics and ethics.
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  16.  57
    Kant’s Transcendental Deduction, Non-Conceptualism, and the Fitness-for-Purpose Objection.Robert Watt - 2018 - Kantian Review 23 (1):65-88.
    The subject of this article is a powerful objection to the non-conceptualist interpretation of Kant’s transcendental deduction of the categories. Part of the purpose of the deduction is to refute the sort of scepticism according to which there are no objects of empirical intuition that instantiate the categories. But if the non-conceptualist interpretation is correct, it does not follow from what Kant is arguing in the transcendental deduction that this sort of scepticism is false. This article explains and (...)
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  17. Recent reinterpretations of the transcendental.Sami Pihlström - 2004 - Inquiry: An Interdisciplinary Journal of Philosophy 47 (3):289-314.
    This essay examines critically a number of characteristics of transcendental philosophy. The question, ?What, if anything, distinguishes transcendental philosophy and transcendental arguments from other types of philosophy and argument??, is given a negative answer: nothing, no essential thing, demarcates transcendental argumentation or philosophy from other kinds of philosophical reflection. In particular, argumentative structure alone is not a defining feature of transcendental philosophy. Illustrative examples of recent debates on the meaning and philosophical relevance of the ? (...)? are discussed in the essay: e.g., attempts to ?naturalize? the transcendental, Wittgensteinian reflections on the limits of meaningful language, and ?merely methodological? interpretations of Kantian transcendental idealism. Through these case studies, it is shown how transcendental inquiry can be rearticulated in a pragmatist context. (shrink)
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  18. A Relativistic Theory of Phenomenological Constitution: A Self-Referential, Transcendental Approach to Conceptual Pathology.Steven James Bartlett - 1970 - Dissertation, Universite de Paris X (Paris-Nanterre) (France)
    A RELATIVISTIC THEORY OF PHENOMENOLOCICAL CONSTITUTION: A SELF-REFERENTIAL, TRANSCENDENTAL APPROACH TO CONCEPTUAL PATHOLOGY. (Vol. I: French; Vol. II: English) -/- Steven James Bartlett -/- Doctoral dissertation director: Paul Ricoeur, Université de Paris Other doctoral committee members: Jean Ladrière and Alphonse de Waehlens, Université Catholique de Louvain Defended publically at the Université Catholique de Louvain, January, 1971. -/- Universite de Paris X (France), 1971. 797pp. -/- The principal objective of the work is to construct an analytically precise methodology which can (...)
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  19.  40
    How we read Kant: an Empiricist and a Transcendental Reading of Kant’s Theory of Experience.Maja Soboleva - 2017 - Philosophia 45 (3):1331-1344.
    The issue of the nature of cognitive experience has been a subject of lively debate in recent works on epistemology, and the philosophy of mind. During this debate, the relevance of Kant to contemporary theories of cognition has been re-discovered. However, participants in this debate disagree whether Kant was a conceptualist or a non-conceptualist, with regard to the character of intuitions. The central point of controversy concerns whether or not Kant’s sensible intuitions involve understanding and have a conceptual content. In (...)
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  20.  12
    Being and number in Heidegger's thought.Michael Roubach - 2008 - New York: Continuum.
    One as transcendental and one as number -- Number and time in Being and time -- The mathematical epoch -- Conclusion : toward a continental philosophy of mathematics.
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  21.  74
    Kant's Transcendental, Empirical, Pragmatic, and Moral Anthropology.Claudia M. Schmidt - 2007 - Kant Studien 98 (2):156-182.
    Kant's critical philosophy is often regarded as standing in a problematic relation to his works in “anthropology”, or the study of human nature. In the Preface to the second edition of the Critique of Pure Reason Kant describes his critical project as a “Copernican” turn toward the cognitive subject, which might seem to signal a reorientation of philosophy around anthropology.1 However, both in the first Critique and in his subsequent works he relegates “empirical anthropology” and “practical” or “moral anthropology” to (...)
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  22.  44
    Relation is not a Category: A Sketch of Relation as a Transcendental.Christopher V. Mirus - 2019 - Proceedings of the American Catholic Philosophical Association 93:189-98.
    Working within the Aristotelian tradition, I argue that relation is not a category but a transcendental property of being. By this I mean that all substances are actualized, and hence defined, relationally: all actuality is interactuality. Interactuality is the locus for the relational categories of substance, action, being-affected, number, and most types of quality. The interactuality of corporeal beings is further conditioned by relations of setting; here we find the relational categories of place (where), quantity in the sense of (...)
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  23.  27
    Schellingian Motives in M. Richir’s Phenomenology: Phenomenological Unconsciousness and Transcendental Hypnose.Kate Khan - 2023 - HORIZON. Studies in Phenomenology 12 (1):195-215.
    The article provides a philosophical reconstruction of the composition of key motives in the phenomenological project of Mark Richir, who is known for his criticism of the symbolic institution. Following Richir’s deep inspiration in Schelling’s philosophy allows to find connections between his theory of the phenomenological unconscious and affectivity, his commentaries concerning Greek mythology and mythological thinking in La Naissance de Dieux—and his political theory. Along with general historical and philosophical comments on a number of translations of Schelling into French, (...)
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  24.  66
    (1 other version)Kant's Transcendental Schematism.M. Woods - 1983 - Dialectica 37 (3):201-219.
    SummaryIn this paper it is argued that, contrary to some widely accepted views, Kant's doctrine of Transcendental Schematism is a coherent one. The interpretation of this doctrine is given as follows: for Kant, the imagination functions empirically and transcendentally . Empirically, an image is created out of a collection of impressions which we happen to have at any particular time: this is the «certain content« of inner sense. In order that this be an object of cognition, however, it must (...)
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  25. Sebastian Luft: Subjectivity and Lifeworld in Transcendental Phenomenology: Northwestern University Press, Evanston, IL, 2011, ISBN 978-0-8101-2743-2, 450 pp, US-$ 89.95. [REVIEW]David Carr - 2014 - Husserl Studies 30 (2):163-169.
    As the title suggests, Sebastian Luft’s book concerns Husserl’s mature thought, from the “transcendental turn” of Ideas I to the latest works of the 1930s. Even though its various chapters have been published separately before, it makes up a coherent whole and works well as a book. Transitional passages have been added to tie the chapters together. The book is clearly the work of a thorough and consummate Husserl scholar who has a grasp of all the works, published, posthumously (...)
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  26.  87
    Review of Formal, Transcendental and Dialectical Thinking: Logic and Reality.Howard P. Kainz - 1989 - The Owl of Minerva 20 (2):231-234.
    This is a book in which Harris weaves together his work on logic, philosophy of science, metaphysics, and political philosophy - already the subject of his earlier articles and books - into a striking personal synthesis. Harris does not while away his time calculating the number of angels on the head of a pin or the types and differrentiations of “raw feels,” but addresses himself to important and challenging questions, some of them almost completely neglected by other philosophers. In what (...)
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  27.  51
    Habermas and transcendental arguments: A reappraisal.Michael Power - 1993 - Philosophy of the Social Sciences 23 (1):26-49.
    Habermas's transcendentalism in Knowledge and Human Interests ( KHI) deserves to be reappraised for a number of reasons. Prevailing conceptions of strong transcendental arguments, which inform many of his critics, cannot be sustained. The analytic reception of Kant suggests a more modest role for them that is remarkably similar to Habermas's claims for the paradigm of rational reconstruction. Hence a reinterpretation of transcendentalism provides a new basis for establishing a continuity between his early and later work. Habermas's underlying argument (...)
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  28. Recent reinterpretations of the transcendental.Sami Pihlstr - 2004 - Inquiry: An Interdisciplinary Journal of Philosophy 47 (3):289 – 314.
    This essay examines critically a number of characteristics of transcendental philosophy. The question, 'What, if anything, distinguishes transcendental philosophy and transcendental arguments from other types of philosophy and argument?', is given a negative answer: nothing, no essential thing, demarcates transcendental argumentation or philosophy from other kinds of philosophical reflection. In particular, argumentative structure alone is not a defining feature of transcendental philosophy. Illustrative examples of recent debates on the meaning and philosophical relevance of the ' (...)' are discussed in the essay: e.g., attempts to 'naturalize' the transcendental, Wittgensteinian reflections on the limits of meaningful language, and 'merely methodological' interpretations of Kantian transcendental idealism. Through these case studies, it is shown how transcendental inquiry can be rearticulated in a pragmatist context. (shrink)
     
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  29.  12
    Good math: a geek's guide to the beauty of numbers, logic, and computation.Mark C. Chu-Carroll - 2013 - Dallas, Texas: Pragmatic Programmers.
    Numbers. Natural numbers -- Integers -- Real numbers -- Irrational and transcendental numbers -- Funny numbers. Zero -- e : the unnatural natural number -- [Phi] : the golden ratio -- i : the imaginary number -- Writing numbers. Roman numerals -- Egyptian fractions -- Continued fractions -- Logic. Mr. Spock is not logical -- Proofs, truth, and trees : oh my! -- Programming with logic -- Temporal reasoning -- Sets. Cantor's diagonalization : infinity isn't just infinity -- Axiomatic (...)
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  30. The Aristotelian Prescription: Skepticism, Retortion, and Transcendental Arguments.Adrian Bardon - 2006 - International Philosophical Quarterly 46 (3):263-276.
    From a number of quarters have come attempts to answer some form of skepticism—about knowledge of the external world, freedom of the will, or moral reasons—by showing it to be performatively self-defeating. Examples of this strategy are subject to a number of criticisms, in particular the criticism that they fail to shift the burden of proof from the anti-skeptical position, and so fail to establish the epistemic entitlement they seek. To these approaches I contrast one way of understanding Kant’s core (...)
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  31. Kant on the Number of Worlds.Ralph C. S. Walker - 2010 - British Journal for the History of Philosophy 18 (5):821-843.
    It has long been disputed whether Kant's transcendental idealism requires two worlds ? one of appearances and one of things in themselves ? or only one. The one-world view must be wrong if it claims that individual spatio-temporal things can be identified with particular things in themselves, and if it fails to take seriously the doctrine of double affection; versions that insist on one world, without making claims about the identity of individual things, cannot say in what way the (...)
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  32. Numbers.Jairo da Silva - 2017 - In Jairo José da Silva (ed.), Mathematics and its Applications: A Transcendental-Idealist Perspective. Cham: Springer Verlag.
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  33. The Phenomenological Kant: Heidegger's Interest in Transcendental Philosophy.Chad Engelland - 2010 - Journal of the British Society for Phenomenology 41 (2):150-169.
    This paper provides a new, comprehensive overview of Martin Heidegger’s interpretations of Immanuel Kant. Its aim is to identify Heidegger’s motive in interpreting Kant and to distinguish, for the first time, the four phases of Heidegger’s reading of Kant. The promise of the “phenomenological Kant” gave Heidegger entrance to a rich domain of investigation. In four phases and with reference to Husserl, Heidegger interpreted Kant as first falling short of phenomenology (1919-1925), then approaching phenomenology (1925-1927), then advancing phenomenology (1927-1929), and (...)
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  34. Edmund Husserl: Formal Ontology and Transcendental Logic.Raul Corazzon - unknown
    "Husserl's work include lengthy treatment of universals, categories, meanings, numbers, manifolds, etc. from an ontological perspective. Here, however, we shall concentrate almost exclusively on the Logical Investigations, which contain in a clear form the ontological ideas which provided the terminological and theoretical basis both for much of the detailed phenomenological description and for many of the metaphysical theses presented in Husserl's later works.
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  35.  38
    An Interpretation of Part of the Transcendental Deduction.D. P. Dryer - 1980 - Dialogue 19 (3):469-476.
    No one should be put off from reading Miles' Logik undMetaphysik bei Kant by his telling us that he is following the ‘phenomenological-philological method’ Heidegger practiced, as shown in his Phenomenological Interpretation of Kant's Critique of Pure Reason, his earliest work on Kant and his last to be published. I do not claim to understand Miles' conception of this method. Whatever it be, what Miles actually presents is a careful examination of a number of crucial passages in Kant's first Critique (...)
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  36. Kriza evropskih znanosti in transcendentalna fenomenologija Crisis of European Sciences and Transcendental Phenomenology.Edmund Husserl - 2003 - Phainomena 45.
    Številka 45-46 revije Phainomena z naslovom „Evropsko sporazumevanje – filozofsko razumevanje združuje filozofsko refleksijo o evropskosti s hermenevtičnimi in fenomenološkimi študijami o temah, ki so temeljito opredelile evropski duh v prejšnjem stoletju. Na podlagi tega je mogoče oblikovati vprašanje o filozofsko smislu evropskosti danes in o možnosti prihodnjega evropskega sporazumevanja. Osnovo za to diskusijo najdemo v Husserlovem delu Kriza evropskih znanosti in transcendentalna fenomenologija. .The 45-46 issue of the philosophical journal Phainomena, “European Coming to an Understanding – Philosophical Understanding”, is (...)
     
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  37.  49
    Kant's Intuitionism: A Commentary on the Transcendental Aesthetic (review). [REVIEW]Manfred Kuehn - 1998 - Journal of the History of Philosophy 36 (2):326-327.
    In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Kant’s Intuitionism: A Commentary on the Transcendental Aesthetic by Lorne FalkensteinManfred KuehnLorne Falkenstein. Kant’s Intuitionism: A Commentary on the Transcendental Aesthetic. Toronto, Ontario: University of Toronto Press, 1995. Pp. xxiii + 465. Cloth, $70.00.This is the most substantial book on Kant’s Transcendental Aesthetic to appear in a long time. Though the Transcendental Aesthetic takes up only thirty-five pages of the six hundred sixty-five pages (...)
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  38. How Many Angels Can Dance on the Point of a Needle? Transcendental Theology Meets Modal Metaphysics.J. Hawthorne & G. Uzquiano - 2011 - Mind 120 (477):53-81.
    We argue that certain modal questions raise serious problems for a modal metaphysics on which we are permitted to quantify unrestrictedly over all possibilia. In particular, we argue that, on reasonable assumptions, both David Lewis's modal realism and Timothy Williamson's necessitism are saddled with the remarkable conclusion that there is some cardinal number of the form ℵα such that there could not be more than ℵα-many angels in existence. In the last section, we make use of similar ideas to draw (...)
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  39.  23
    Goldbach’s Conjecture as a ‘Transcendental’ Theorem.Francesco Panizzoli - 2019 - Axiomathes 29 (5):463-481.
    Goldbach’s conjecture, if not read in number theory, but in a precise foundation theory of mathematics, that refers to the metaphysical ‘theory of the participation’ of Thomas Aquinas, poses a surprising analogy between the category of the quantity, within which the same arithmetic conjecture is formulated, and the transcendental/formal dimension. It says: every even number is ‘like’ a two, that is: it has the form-of-two. And that means: it is the composition of two units; not two equal arithmetic units, (...)
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  40.  21
    Matter in Mind: A Study of Kant's Transcendental Deduction. [REVIEW]Patricia Kitcher - 1990 - Review of Metaphysics 43 (4):851-851.
    Richard Aquila's study tackles a number of difficult and important issues in the Transcendental Deduction, issues that are frequently slighted. In recent decades, the fashion has been to read Kant as if his primary target were skepticism and his primary weapon "transcendental" arguments that turn on the meaning of certain key terms in our conceptual scheme. As Aquila notes, this cannot be the entire or essential story of the Transcendental Deduction, for it offers a theory of the (...)
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  41. Weyl's Conception of the Continuum in a Husserlian Transcendental Perspective.Stathis Livadas - 2017 - Studia Philosophica Estonica 10 (1):99-124.
    This article attempts to broaden the phenomenologically motivated perspective of H. Weyl's Das Kontinuum in the hope of elucidating the differences between the intuitive and mathematical continuum and further providing a deeper phenomenological interpretation. It is known that Weyl sought to develop an arithmetically based theory of continuum with the reasoning that one should be based on the naturally accessible domain of natural numbers and on the classical first-order predicate calculus to found a theory of mathematical continuum free of impredicative (...)
     
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  42.  9
    Presupposing God: theological epistemology in Immanuel Kant's transcendental idealism and Karl Barth's theology.Robert A. Hand - 2022 - Eugene, Oregon: Pickwick Publications.
    It is widely recognized that Immanuel Kant was one of Karl Barth's most important intellectual influences, but how and to what extent this is the case remains an open question. In Presupposing God, Robert Hand demonstrates a deep consistency between Kant's and Barth's theological epistemologies, with this issue in mind. After arguing for a number of positive emphases in Kant's critical philosophy and religious epistemology in conversation with modern Kant scholarship, Presupposing God demonstrates how these emphases were obscured in Kant's (...)
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  43.  38
    On the number of models of uncountable theories.Ambar Chowdhury & Anand Pillay - 1994 - Journal of Symbolic Logic 59 (4):1285-1300.
    In this paper we establish the following theorems. THEOREM A. Let T be a complete first-order theory which is uncountable. Then: (i) I(|T|, T) ≥ ℵ 0 . (ii) If T is not unidimensional, then for any λ ≥ |T|, I (λ, T) ≥ ℵ 0 . THEOREM B. Let T be superstable, not totally transcendental and nonmultidimensional. Let θ(x) be a formula of least R ∞ rank which does not have Morley rank, and let p be any stationary (...)
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  44.  95
    On a semantic interpretation of Kant's concept of number.Wing-Chun Wong - 1999 - Synthese 121 (3):357-383.
    What is central to the progression of a sequence is the idea of succession, which is fundamentally a temporal notion. In Kant's ontology numbers are not objects but rules (schemata) for representing the magnitude of a quantum. The magnitude of a discrete quantum 11...11 is determined by a counting procedure, an operation which can be understood as a mapping from the ordinals to the cardinals. All empirical models for numbers isomorphic to 11...11 must conform to the transcendental determination of (...)
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  45. The Discussion of Kant’s Transcendental Aesthetic.Francesca Biagioli - 2016 - In Space, Number, and Geometry From Helmholtz to Cassirer. Cham: Springer Verlag.
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  46. Mathematics and Spiritual Interpretation: A Bridge to Genuine Interdisciplinarity.Ronald Glasberg - 2003 - Zygon 38 (2):277-294.
    This article is a spiritual interpretation of Leonhard Euler’s famous equation linking the most important entities in mathematics: e (the base of natural logarithms), π (the ratio of the diameter to the circumference of a circle), i ( d -1),1 , and 0. The equation itself (e π i+1 = 0>) can be understood in terms of a traditional mathematical proof, but that does not give one a sense of what it might mean. While one might intuit, given the significance (...)
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  47.  13
    Algebraic and Model Theoretic Properties of O-minimal Exponential Fields.Lothar Sebastian Krapp - 2021 - Bulletin of Symbolic Logic 27 (4):529-530.
    An exponential $\exp $ on an ordered field $$. The structure $$ is then called an ordered exponential field. A linearly ordered structure $$ is called o-minimal if every parametrically definable subset of M is a finite union of points and open intervals of M.The main subject of this thesis is the algebraic and model theoretic examination of o-minimal exponential fields $$ whose exponential satisfies the differential equation $\exp ' = \exp $ with initial condition $\exp = 1$. This study (...)
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  48.  12
    Leibniz and the invention of mathematical transcendence.Michel Serfati - 2018 - Stuttgart: Franz Steiner Verlag.
    The invention of mathematical transcendence in the seventeenth century is linked to Leibniz, who always claimed it to be his own creation. However, Descartes had created a completely new symbolic frame in which one considers plane curves, which was a real upheaval. Leibniz initially appreciated this Cartesian frame. Although, as we see in the book, during his research he was confronted with inexpressible contexts he then called 'transcendent'. The development of a concept of mathematical transcendence is at the core of (...)
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  49.  89
    Modernizing the philosophy of mathematics.Nicolas D. Goodman - 1991 - Synthese 88 (2):119 - 126.
    The distinction between analytic and synthetic propositions, and with that the distinction between a priori and a posteriori truth, is being abandoned in much of analytic philosophy and the philosophy of most of the sciences. These distinctions should also be abandoned in the philosophy of mathematics. In particular, we must recognize the strong empirical component in our mathematical knowledge. The traditional distinction between logic and mathematics, on the one hand, and the natural sciences, on the other, should be dropped. Abstract (...)
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  50.  16
    Diferença e Distribuição Nômade Na Filosofia Política de Deleuze e Guattari.Yasmin de Oliveira Alves Teixeira - 2023 - Kriterion: Journal of Philosophy 64 (155):567-588.
    ABSTRACT The aim of this article was to develop an interpretation of the relation between Deleuzian transcendental empiricism and Deleuze-Guattarian political philosophy in the “Treatise on Nomadology,” which focuses on the concept of the nomadic war machine. To understand this concept, it is necessary to keep in mind that this is a transcendental Idea or virtual multiplicity, correlated of an effondement (‘ungrounding’), which sustains a difference by right in relation to the State apparatus and the military institution. On (...)
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