Thomas Mormann University of the Basque Country
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  1. Thomas Mormann (forthcoming). Wissenschaftliche Philosophie im Exil: Cassirer und der Wiener Kreis nach 1933. In Matthias Neuber (ed.), Husserl, Cassirer, Schlick. "Wissenschaftliche Philosophie im Spannungsfeld von Phänomenologie, Neukantianismus und logischem Empirismus. Springer.
  2. Thomas Mormann (forthcoming). Ilkka Niiniluoto, Sami Pihlström (Eds.), Reappraisals of Eino Kaila's Philosophy. [REVIEW] Vienna Circle Institute Yearbook.
  3. Thomas Mormann (2014). Matthias Neuber: Die Grenzen des Revisionismus: Schlick, Cassirer und das "Raumproblem". [REVIEW] Zeitschrift für Philosophische Forschung 68 (1):127 - 131.
  4. Thomas Mormann (2014). On the Vicissitudes of Idealism in Philosophy of Science: The Case of Cassirer's 'Critical Idealism'. 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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  5. Thomas Mormann (2013). Heyting Mereology as a Framework for Spatial Reasoning. Axiomathes 23 (1):137- 164.
    In this paper it is shown that Heyting and Co-Heyting mereological systems provide a convenient conceptual framework for spatial reasoning, in which spatial concepts such as connectedness, interior parts, (exterior) contact, and boundary can be defined in a natural and intuitively appealing way. This fact refutes the wide-spread contention that mereology cannot deal with the more advanced aspects of spatial reasoning and therefore has to be enhanced by further non-mereological concepts to overcome its congenital limitations. The allegedly unmereological concept of (...)
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  6. Thomas Mormann (2013). Topology as an Issue for History of Philosophy of Science. In Hanne Andersen, Dennis Dieks, Wenceslao J. Gonzalez, Thomas Uebel & Gregory Wheeler (eds.), New Challenges to Philosophy of Science. Springer. 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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  7. Thomas Mormann (2013). Wiener wissenschaftliche Weltanschauungen - zwischen Wissenschaft, Philosophie, Politik und "Leben". In Elisabeth Nemeth & Friedrich Stadler (eds.), Die europäische Wissenschaftsphilosophie und das Wiener Erbe. Veröffentlichungen des Instituts Wiener Kreis Band 18, 105 - 127, Springer.
  8. Thomas Mormann & Mikhail G. Katz (2013). Infinitesimals as an Issue of Neo-Kantian Philosophy of Science. HOPOS 3(2), The Journal of the International Society for the History of Phiilosophy of Science, 236 - 280 (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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  9. Thomas Mormann (2012). A Virtual Debate in Exile: Cassirer and the Vienna Circle After 1933. Vienna Circle Institute Yearbook 16:149 - 167.
  10. Thomas Mormann (2012). La Idealización En la Matemática. Discusiones Filosóficas 13 (20):147 - 167.
    Abstract. El objetivo de este documento es elucidar el papel de las idealizaciones en el conocimiento matemático inspirado por algunas ideas del filósofo neo-kantiano Ernst Cassirer. Usualmente, en la filosofía de la ciencia contemporánea se da por hecho que el tema de la idealización se refiere únicamente a las idealizaciones en las ciencias empíricas, en particular en la física. Por el contrario, Cassirer afirmó que la idealización de las matemáticas, así como en las ciencias tiene la misma base conceptual y (...)
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  11. Thomas Mormann (2012). The Vicissitudes of Mathematical Reason in the 20th Century. [REVIEW] Metascience 21 (2):295-300.
    The vicissitudes of mathematical reason in the 20th century Content Type Journal Article Pages 1-6 DOI 10.1007/s11016-011-9556-y Authors Thomas Mormann, Department of Logic and Philosophy of Science, University of the Basque Country UPV/EPU, Donostia-San Sebastian, Spain, Journal Metascience Online ISSN 1467-9981 Print ISSN 0815-0796.
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  12. Thomas Mormann (1996). Similarity and Continuous Quality Distributions. The Monist 79 (1):76 - 88.
  13. Mikhail G. Katz & Thomas Mormann, Infinitesimals and Other Idealizing Completions in Neo-Kantian Philosophy of Mathematics.
    We seek to elucidate the philosophical context in which the so-called revolution of rigor in inifinitesimal calculus and mathematical analysis took place. Some of the protagonists of the said revolution were Cauchy, Cantor, Dedekind, and Weierstrass. The dominant current of philosophy in Germany at that 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 main thesis is that Marburg Neo-Kantian philosophy formulated a sophisticated (...)
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  14. Thomas Mormann, McKinsey Algebras and Topological Models of S4.1.
    The aim of this paper is to show that every topological space gives rise to a wealth of topological models of the modal logic S4.1. The construction of these models is based on the fact that every space defines a Boolean closure algebra (to be called a McKinsey algebra) that neatly reflects the structure of the modal system S4.1. It is shown that the class of topological models based on McKinsey algebras contains a canonical model that can be used to (...)
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  15. Thomas Mormann, Mathematical Aspects of Similarity and Quasi-Analysis - Order, Topology, and Sheaves.
    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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  16. Thomas Mormann, Philipp Frank's Austro-American Logical Empiricism.
    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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  17. Thomas Mormann, Carnap's Aufbau in the Weimar Context.
    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 (...)
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  18. Thomas Mormann, The Contact Algebra of the Euclidean Plane has Infinitely Many Elements.
    Abstract. Let REL(O*E) be the relation algebra of binary relations defined on the Boolean algebra O*E of regular open regions of the Euclidean plane E. The aim of this paper is to prove that the canonical contact relation C of O*E generates a subalgebra REL(O*E, C) of REL(O*E) that has infinitely many elements. More precisely, REL(O*,C) contains an infinite family {SPPn, n ≥ 1} of relations generated by the relation SPP (Separable Proper Part). This relation can be used to define (...)
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