Results for 'Mormann Thomas'

971 found
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  1. Prototypes, poles, and tessellations: towards a topological theory of conceptual spaces.Thomas Mormann - 2021 - Synthese 199 (1):3675-3710.
    The aim of this paper is to present a topological method for constructing discretizations of topological conceptual spaces. The method works for a class of topological spaces that the Russian mathematician Pavel Alexandroff defined more than 80 years ago. The aim of this paper is to show that Alexandroff spaces, as they are called today, have many interesting properties that can be used to explicate and clarify a variety of problems in philosophy, cognitive science, and related disciplines. For instance, recently, (...)
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  2. Two Kindred Neo-Kantian Philosophies of Science: Pap’s The A Priori in Physical Theory and Cassirer’s Determinism and Indeterminism in Modern Physics.Thomas Mormann - 2021 - Journal of Transcendental Philosophy 1 (1).
    The main thesis of this paper is that Pap’s The Functional A Priori of Physical Theory (Pap 1946, henceforth FAP) and Cassirer’s Determinism and Indeterminism in Modern Physics (Cassirer 1937, henceforth DI) may be conceived as two kindred accounts of a late Neo-Kantian philosophy of science. They elucidate and clarify each other mutually by elaborating conceptual possibilities and pointing out affinities of neo-Kantian ideas with other currents of 20th century’s philosophy of science, namely, pragmatism, conventionalism, and logical empiricism. Taking into (...)
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  3.  92
    On the Gettier Problem for Topological Logic of Knowledge and Belief.Thomas Mormann - manuscript
    Abstract. Gettier’s famous examples intended to show that knowledge cannot always be equated with justified true belief. The Gettier problem can also be considered as a problem for topological epistemic logic: If knowledge and justified belief are conceived as topological operators K and B on topological spaces (to be considered as universes of possible worlds), one may ask whether it happens that there is a proposition A such that KA ≠ A & BA or not. If this is the case, (...)
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  4. Completeness and Doxastic Plurality for Topological Operators of Knowledge and Belief.Thomas Mormann - 2023 - Erkenntnis: 1 - 34, ONLINE.
    The first aim of this paper is to prove a topological completeness theorem for a weak version of Stalnaker’s logic KB of knowledge and belief. The weak version of KB is characterized by the assumption that the axioms and rules of KB have to be satisfied with the exception of the axiom (NI) of negative introspection. The proof of a topological completeness theorem for weak KB is based on the fact that nuclei (as defined in the framework of point-free topology) (...)
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  5. Wertphilosophische Abschweifungen eines logischen Empiristen: Der Fall Carnap.Thomas Mormann - 2010 - In Anne Siegetsleitner (ed.), Logischer Empirismus, Werte und Moral: eine Neubewertung. Springer.
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  6. JTB Epistemology and the Gettier problem in the framework of topological epistemic logic.Thomas Mormann - 2023 - Review of Analytic Philosophy 3 (1):1 - 41.
    Abstract. Traditional epistemology of knowledge and belief can be succinctly characterized as JTB-epistemology, i.e., it is characterized by the thesis that knowledge is justified true belief. Since Gettier’s trail-blazing paper of 1963 this account has become under heavy attack. The aim of is paper is to study the Gettier problem and related issues in the framework of topological epistemic logic. It is shown that in the framework of topological epistemic logic Gettier situations necessarily occur for most topological models of knowledge (...)
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  7. Topological Models of Columnar Vagueness.Thomas Mormann - 2020 - Erkenntnis 87 (2):693 - 716.
    This paper intends to further the understanding of the formal properties of (higher-order) vagueness by connecting theories of (higher-order) vagueness with more recent work in topology. First, we provide a “translation” of Bobzien's account of columnar higher-order vagueness into the logic of topological spaces. Since columnar vagueness is an essential ingredient of her solution to the Sorites paradox, a central problem of any theory of vagueness comes into contact with the modern mathematical theory of topology. Second, Rumfitt’s recent topological reconstruction (...)
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  8. Review of Philipp Frank "The Humanistic Background of Science", edited by George A. Reisch and Adam Tamas Tuboly.Thomas Mormann - 2022 - H-Net Reviews in the Humanities and Social Sciences.
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  9. Frank’s Austrian Reading of the Aufbau.Thomas Mormann - manuscript
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  10. Infinitesimals as an issue of neo-Kantian philosophy of science.Thomas Mormann & Mikhail Katz - 2013 - Hopos: The Journal of the International Society for the History of Philosophy of Science (2):236-280.
    We seek to elucidate the philosophical context in which one of the most important conceptual transformations of modern mathematics took place, namely the so-called revolution in rigor in infinitesimal calculus and mathematical analysis. Some of the protagonists of the said revolution were Cauchy, Cantor, Dedekind,and Weierstrass. The dominant current of philosophy in Germany at the time was neo-Kantianism. Among its various currents, the Marburg school (Cohen, Natorp, Cassirer, and others) was the one most interested in matters scientific and mathematical. Our (...)
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  11. A place for pragmatism in the dynamics of reason?Thomas Mormann - 2012 - Studies in History and Philosophy of Science Part A 43 (1):27-37.
    Abstract. In Dynamics of Reason Michael Friedman proposes a kind of synthesis between the neokantianism of Ernst Cassirer, the logical empiricism of Rudolf Carnap, and the historicism of Thomas Kuhn. Cassirer and Carnap are to take care of the Kantian legacy of modern philosophy of science, encapsulated in the concept of a relativized a priori and the globally rational or continuous evolution of scientific knowledge,while Kuhn´s role is to ensure that the historicist character of scientific knowledge is taken seriously. (...)
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  12. Belief Modalities Defined by Nuclei.Thomas Mormann - manuscript
    Abstract. The aim of this paper is to show that the topological interpretation of knowledge as an interior kernel operator K of a topological space (X, OX) comes along with a partially ordered family of belief modalities B that fit K in the sense that the pairs (K, B) satisfy all axioms of Stalnaker’s KB logic of knowledge and belief with the exception of the contentious axiom of negative introspection (NI). The new belief modalities B introduced in this paper are (...)
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  13. Werte bei Carnap.Thomas Mormann - 2006 - Zeitschrift für Philosophische Forschung 62 (2):169 - 189.
    Nach gängiger Auffassung nahm das Thema „Werte” in Carnaps Philosophie nur einen geringen Stellenwert ein. In dieser Arbeit soll gezeigt werden, daß diese Einschätzung der Korrektur bedarf: So wird der im „Aufbau“ vorgetragene Entwurf eines Konstitutionssystems mit Werten als der höchsten Schicht des Konstitutionssystems abgeschlossen. Auch die Quasianalyse als allgemeine Konstitutionsmethode steht in enger Beziehung zur Unterscheidung zwischen „Sein“ und „Gelten“, die für den werttheoretisch orientierten Neukantianismus der südwest-deutschen Schule charakteristisch war. Allgemein erlaubt die Wertthematik einen Blick auf Unterströmungen des (...)
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  14. Ist der Begriff der Repräsentation obsolet?Thomas Mormann - 1997 - Zeitschrift für Philosophische Forschung 51 (3):349 - 366.
    Der Antirepräsentationalismus behauptet, es sei an der Zeit, das auf dem Begriff der Repräsentation basierende Paradigma der Philosophie zu verabschieden. Die von Rorty und anderen propagierte Unterscheidung von Repräsentationalismus und Antirepräsentationalismus beruht jedoch auf einem verkürzten Repräsentationsbegriff als Spiegelung. Der Begriff der Repräsentation, so wie er in der Philosophie und Wissenschaft gebraucht wird, hat nur wenig mit Spiegelung zu tun. Statt den Begriff der Repräsentation mit Hilfe der Spiegelungsmetapher zu explizieren, sollte man Repräsentation als strukturerhaltende Abbildung konzipieren. Dadurch lassen sich (...)
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  15. Structure-preserving Representations, Constitution and the Relative A priori.Thomas Mormann - 2021 - Synthese 198 (Supplement 21):1-24.
    The aim of this paper is to show that a comprehensive account of the role of representations in science should reconsider some neglected theses of the classical philosophy of science proposed in the first decades of the 20th century. More precisely, it is argued that the accounts of Helmholtz and Hertz may be taken as prototypes of representational accounts in which structure preservation plays an essential role. Following Reichenbach, structure-preserving representations provide a useful device for formulating an up-to-date version of (...)
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  16. Rudolf Carnap.Thomas Mormann - 2000 - C.H. Beck.
    Einführung in die Philosophie Rudolf Carnaps.
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  17. The Structure of Scientific Theories in Logical Empiricism.Thomas Mormann - 2007 - In Alan Richardson & Thomas Uebel (eds.), The Cambridge Companion to Logical Empiricism. New York: Cambridge University Press.
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  18. (1 other version)Carnap's Aufbau in the Weimar Context.Thomas Mormann - 2016 - Vienna Circle Institute Yearbook 18:115-136.
    Quine’s classical classic interpretation succinctly characterized characterizes Carnap’s Aufbau as an attempt “to account for the external world as a logical construct of sense-data....” Consequently, “Russell” was characterized as the most important influence on the Aufbau. Those times have passed. Formulating a comprehensive and balanced interpretation of the Aufbau has turned out to be a difficult task and one that must take into account several disjointed sources. My thesis is that the core of the Aufbau rested on a problem that (...)
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  19. Wien und München: Zwei Stationen der deutschsprachigen Wissenschaftsphilosophie im 20. Jahrhundert.Thomas Mormann - 2010 - In Friedrich Stadler (ed.), Vertreibung, Transformation und Rueckkehr der Wissenschaftstheorie. Am Beispiel von Rudolf Carnap und Wolfgang Stegmueller. Lit Verlag.
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  20. From Cautious Enthusiasm to Profound Disenchantment - Ernest Nagel and Carnapian Logical Empiricism.Thomas Mormann - 2021 - In Matthias Neuber & Adam Tamas Tuboly (eds.), Ernest Nagel: Philosophy of Science and the Fight for Clarity. Springer. pp. 89 - 108.
    The global relation between logical empiricism and American pragmatism is one of the more difficult problems in history of philosophy. In this paper I’d like to take a local perspective and concentrate on the details that concern the vicissitudes of a philosopher who played an important role in the encounter of logical empiricism and American pragmatism, namely, Ernest Nagel. In this paper, I want to explore some aspects of Nagel’s changing attitude towards the then „new“ logical-empiricist philosophy. In the beginning (...)
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  21. Topological Aspects of Epistemology and Metaphysics.Thomas Mormann - 2020 - In Silvano Zipoli Caiani & Alberto Peruzzi (eds.), Structures Mères: Semantics, Mathematics, and Cognitive Science. Springer. pp. 135 - 152.
    The aim of this paper is to show that (elementary) topology may be useful for dealing with problems of epistemology and metaphysics. More precisely, I want to show that the introduction of topological structures may elucidate the role of the spatial structures (in a broad sense) that underly logic and cognition. In some detail I’ll deal with “Cassirer’s problem” that may be characterized as an early forrunner of Goodman’s “grue-bleen” problem. On a larger scale, topology turns out to be useful (...)
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  22. (2 other versions)Scientific theories as intervening representations.Thomas Mormann & Andoni Ibarra - 2006 - Theoria 21 (1):21-38.
    In this paper some classical representational ideas of Hertz and Duhem are used to show how the dichotomy between representation and intervention can be overcome. More precisely, scientific theories are reconstructed as complex networks of intervening representations (or representational interventions). The formal apparatus developed is applied to elucidate various theoretical and practical aspects of the in vivo/in vitro problem of biochemistry. Moreover, adjoint situations (Galois connections) are used to explain the relation berween empirical facts and theoretical laws in a new (...)
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  23. A topological completeness theorem for a weak version of Stalnaker's logic of knowledge and belief.Thomas Mormann - manuscript
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  24. History of Philosophy of Science as Philosophy of Science by other Means? Comment on Thomas Uebel.Thomas Mormann - 2010 - In Thomas Uebel, Stephan Hartmann, Wenceslao Gonzalez, Marcel Weber, Dennis Dieks & Friedrich Stadler (eds.), The Present Situation in the Philosophy of Science. Springer. pp. 29--39.
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  25. History of Philosophy of Science as Philosophy of Science by Other Means.Thomas Mormann - 2010 - In Thomas Uebel, Stephan Hartmann, Wenceslao Gonzalez, Marcel Weber, Dennis Dieks & Friedrich Stadler (eds.), The Present Situation in the Philosophy of Science. Springer. pp. 29--39.
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  26. Updating Classical Mereology.Thomas Mormann - 2009 - In C. Glymour, D. Westerstahl & W. Wang (eds.), Logic, Methodology and Philosophy of Science. Proceedings of the 13th International Congress. King’s College.
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  27. Truthlikeness for Theories on Countable Languages.Thomas Mormann - 2006 - In Ian Jarvie, Karl Milford & David Miller (eds.), Karl Popper: A Centenary Assessment vol. 3.
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  28. From Mathematics to Quantum Mechanics - On the Conceptual Unity of Cassirer’s Philosophy of Science.Thomas Mormann - 2015 - In J. Tyler Friedman & Sebastian Luft (eds.), The Philosophy of Ernst Cassirer: A Novel Assessment. Boston: De Gruyter. pp. 31-64.
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  29. (2 other versions)Zur mathematischen Wissenschaftsphilosophie des Marburger Neukantianismus.Thomas Mormann - 2018 - In Christian Damböck (ed.), Philosophie und Wissenschaft bei Hermann Cohen. Springer. pp. 101 - 133.
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  30. Philipp Frank’s Austro-American Logical Empiricism.Thomas Mormann - 2017 - Hopos: The Journal of the International Society for the History of Philosophy of Science 7 (1): 56 - 86.
    The aim of this paper is to discuss the “Austro-American” logical empiricism proposed by physicist and philosopher Philipp Frank, particularly his interpretation of Carnap’s Aufbau, which he considered the charter of logical empiricism as a scientific world conception. According to Frank, the Aufbau was to be read as an integration of the ideas of Mach and Poincaré, leading eventually to a pragmatism quite similar to that of the American pragmatist William James. Relying on this peculiar interpretation, Frank intended to bring (...)
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  31. Repräsentation, Struktur, Quasianalyse Formale Aspekte einer Carnapianischen Konstitutionstheorie.Thomas Mormann - 1997 - In Georg Meggle & Julian Nida-Rümelin (eds.), Analyomen 2, Volume I: Logic, Epistemology, Philosophy of Science. De Gruyter. pp. 431-438.
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  32. A quasi-analytical Constitution of Physical Space.Thomas Mormann - 2004 - In Carsten Klein & Steven Awodey (eds.), Carnap Brought Home - The View from Jena. Open Court.
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  33. Der logische Aufbau der Welt: Formale Aspekte.Thomas Mormann - manuscript
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  34. Mathematical Metaphors in Natorp’s Neo-Kantian Epistemology and Philosophy of Science.Thomas Mormann - 2005 - In Falk Seeger, Johannes Lenard & Michael H. G. Hoffmann (eds.), Activity and Sign. Grounding Mathematical Education. Springer.
    A basic thesis of Neokantian epistemology and philosophy of science contends that the knowing subject and the object to be known are only abstractions. What really exists, is the relation between both. For the elucidation of this “knowledge relation ("Erkenntnisrelation") the Neokantians of the Marburg school used a variety of mathematical metaphors. In this con-tribution I reconsider some of these metaphors proposed by Paul Natorp, who was one of the leading members of the Marburg school. It is shown that Natorp's (...)
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  35. Natorp's mathematical philosophy of science.Thomas Mormann - 2022 - Studia Kantiana 20 (2):65 - 82.
    This paper deals with Natorp’s version of the Marburg mathematical philosophy of science characterized by the following three features: The core of Natorp’s mathematical philosophy of science is contained in his “knowledge equation” that may be considered as a mathematical model of the “transcendental method” conceived by Natorp as the essence of the Marburg Neo-Kantianism. For Natorp, the object of knowledge was an infinite task. This can be elucidated in two different ways: Carnap, in the Aufbau, contended that this endeavor (...)
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  36. Idealisation and Mathematisation in Cassirer's Critical Idealism.Thomas Mormann - 2004 - In Donald Gillies (ed.), Laws and Models in Science. KIng's College Publications. pp. 139 - 159.
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  37. "Philosophie ist Möglichkeitswissenschaft" - Zur Beziehung von Philosophie, Wissenschaft und logischer Analyse bei Russell.Thomas Mormann - 2020 - Aufklärung Und Kritik 2020 (1):51 - 64.
    Bis heute wird Russells Philosophie nicht selten der Vorwurf gemacht, es fehle ihr an Kohärenz und Zusammenhang. Russell wird als ein Autor charakterisiert, der alle paar Jahre eine neue alternative Philosophie vorgeschlagen habe. In der vorliegenden Arbeit soll dagegen argumentiert werden, daß diese These auf einer zu oberflächlichen Ein–schätzung von Russells Denken beruht. Seine Philosophie verfügte sehr wohl über eine Einheit, die durch ihre charakteristische einheitsstiftende Methode vermittelt wurde. Dies war die Methode der logischen Analyse, die sich als Invariante in (...)
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  38. Physikalistische Graphologie als Avantgarde der Psychologie oder Physikalismus auf Abwegen.Thomas Mormann - 2021 - In Christian Damböck & Gereon Wolters (eds.), Der junge Carnap in historischem Kontext: 1918-1935 / Young Carnap in an Historical Context: 1918–1935. Springer. pp. 185 - 203.
    Die Physikalisierung der Psychologie war für Carnap Teil eines Programms, das die Sonderstellung der Psychologie als Wissenschaft des menschlichen Denkens und Fühlens als Illusion entlarven und zeigen sollte, die Psychologie sei ein Teil der Physik wie alle anderen Wissenschaften auch. In etwas anderer Motivation zielte Carnaps Physikalismus ausserdem auf eine Überwindung der Trennung von Geistes–wissenschaften und Naturwissenschaften: Erwiese sich die Psychologie sich als physikalisierbar, wäre das ein wesentlicher Schritt für die Vereinheitlichung der Wissenschaften in Gestalt einer enzyklopädischen „Einheitswissenschaft“ überhaupt. Carnaps (...)
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  39. Enlightenment and Formal Romanticism - Carnap’s Account of Philosophy as Explication.Thomas Mormann - 2010 - Vienna Circle Institute Yearbook 14:263 - 329.
    Carnap and Twentieth-Century Thought: Explication as En lighten ment is the first book in the English language that seeks to place Carnap's philosophy in a broad cultural, political and intellectual context. According to the author, Carnap synthesized many different cur rents of thought and thereby arrived at a novel philosophical perspective that remains strik ing ly relevant today. Whether the reader agrees with Carus's bold theses on Carnap's place in the landscape of twentieth-century philosophy, and his even bolder claims concerning (...)
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  40. (1 other version)Carnap's metrical conventionalism versus differential topology.Thomas Mormann - 2004 - Proc. 2004 Biennial Meeting of the PSA, vol. I, Contributed Papers 72 (5):814 - 825.
    Geometry was a main source of inspiration for Carnap’s conventionalism. Taking Poincaré as his witness Carnap asserted in his dissertation Der Raum (Carnap 1922) that the metrical structure of space is conventional while the underlying topological structure describes "objective" facts. With only minor modifications he stuck to this account throughout his life. The aim of this paper is to disprove Carnap's contention by invoking some classical theorems of differential topology. By this means his metrical conventionalism turns out to be indefensible (...)
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  41. On the Vicissitudes of Idealism in Philosophy of Science: The Case of Cassirer's 'Critical Idealism'.Thomas Mormann - 2014 - Lectiones Et Acroases Philosophicae (1).
    In Anglo-Saxon philosophy of science there is strong conviction that idealist philosophy of science on the the one hand and serious science and philosophy of science on the other do not go well together. In this paper I argue that this sweeping dismissal of the idealist tradition may have been too hasty. They may be some valuable insights for which it is striving. A promising case in question is provided by Ernst Cassirer’s Neo-Kantian „Critical Idealism“ that he put forward in (...)
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  42. Mathematical Aspects of Similarity and Quasi-analysis - Order, Topology, and Sheaves.Thomas Mormann - manuscript
    The concept of similarity has had a rather mixed reputation in philosophy and the sciences. On the one hand, philosophers such as Goodman and Quine emphasized the „logically repugnant“ and „insidious“ character of the concept of similarity that allegedly renders it inaccessible for a proper logical analysis. On the other hand, a philosopher such as Carnap assigned a central role to similarity in his constitutional theory. Moreover, the importance and perhaps even indispensibility of the concept of similarity for many empirical (...)
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  43. *Germany's Defeat* as a Programme: Carnap’s Philosophical and Political Beginnings.Thomas Mormann - manuscript
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  44. Der frühe Carnap im ideologischen Umfeld des Serakreises.Thomas Mormann - manuscript
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  45. Trope Sheaves. A Topological Ontology of Tropes.Thomas Mormann - 1995 - Logic and Logical Philosophy of Science 3:129-150.
    In this paper I want to show that topology has a bearing on the theory of tropes. More precisely, I propose a topological ontology of tropes. This is to be understood as follows: trope ontology is a „one-category”-ontology countenancing only one kind of basic entities, to wit, tropes. 1 Hence, individuals, properties, relations, etc. are to be constructed from tropes.
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  46. Matthias Neuber: Die Grenzen des Revisionismus: Schlick, Cassirer und das "Raumproblem". [REVIEW]Thomas Mormann - 2014 - Zeitschrift für Philosophische Forschung 68 (1):127-131.
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  47. Christian Damböck, Meike G. Werner, Günther Sandner (eds.), Logischer Empirismus, Lebensreform und die deutsche Jugendbewegung. [REVIEW]Thomas Mormann - 2024 - Hopos: The Journal of the International Society for the History of Philosophy of Science 14 (2): 613 - 616.
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  48. Topology as an Issue for History of Philosophy of Science.Thomas Mormann - 2013 - In Hanne Andersen, Dennis Dieks, Wenceslao J. Gonzalez, Thomas Uebel & Gregory Wheeler (eds.), New Challenges to Philosophy of Science. Springer Verlag. pp. 423--434.
    Since antiquity well into the beginnings of the 20th century geometry was a central topic for philosophy. Since then, however, most philosophers of science, if they took notice of topology at all, considered it as an abstruse subdiscipline of mathematics lacking philosophical interest. Here it is argued that this neglect of topology by philosophy may be conceived of as the sign of a conceptual sea-change in philosophy of science that expelled geometry, and, more generally, mathematics, from the central position it (...)
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  49. A Representational Reconstruction of Carnap’s Quasianalysis.Thomas Mormann - 1994 - PSA 1994 1:96 - 103.
    According to general wisdom, Carnap's quasianalysis is an ingenious but definitively flawed approach to epistemology and philosophy of science. I argue that this assessment is mistaken. Rather, Carnapian quasianalysis can be reconstructed as a special case of a general theory of structural representation. This enables us to exploit some interesting analogies of quasianalysis with the representational theory of measurement. It is shown how Goodman's well-known objections against the quasianalytical approach may be defused in the new framework. As an application, I (...)
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  50. Zwischen Weisheit und Wissenschaft - Schlicks weites philosophisches Spektrum.Thomas Mormann - 2010 - Grazer Philosophische Studien 80 (1):263 - 285.
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