124 found
Sort by:
See also:
Profile: Thomas Mormann (University of the Basque Country)
  1. 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 (...)
    Translate to English
    |
     
    My bibliography  
     
    Export citation  
  2. Thomas Mormann, *Germany's Defeat* as a Programme: Carnap's Philosophical and Political Beginnings.
  3. 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 (...)
    Translate to English
    | Direct download  
     
    My bibliography  
     
    Export citation  
  4. 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 (...)
    Direct download  
     
    My bibliography  
     
    Export citation  
  5. Thomas Mormann, *Germany's Defeat* as a Programme: Carnap’s Philosophical and Political Beginnings.
  6. 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 (...)
    Direct download  
     
    My bibliography  
     
    Export citation  
  7. Thomas Mormann, Structural Mereology: A Formal Elucidation and Some Metaphysical Applications.
    Translate to English
    | Direct download  
     
    My bibliography  
     
    Export citation  
  8. 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 (...)
    Translate to English
    | Direct download  
     
    My bibliography  
     
    Export citation  
  9. Thomas Mormann, Topological Games, Supertasks, and (Un)Determined Experiments.
    The general aim of this paper is to introduce some ideas of the theory of infinite topological games into the philosophical debate on supertasks. First, we discuss the elementary aspects of some infinite topological games, among them the Banach-Mazur game.Then it is shown that the Banach-Mazur game may be conceived as a Newtonian supertask.In section 4 we propose to conceive physical experiments as infinite games. This leads to the distinction between determined and undetermined experiments and the problem of how it (...)
    No categories
    Translate to English
    | Direct download  
     
    My bibliography  
     
    Export citation  
  10. 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.
  11. Thomas Mormann (forthcoming). Frank’s Austrian Reading of the Aufbau. In Veronika Hofer & Michael Stöltzner (eds.), Philipp Frank: Vienna, Prague, Boston. Open Court.
  12. Thomas Mormann (forthcoming). Ilkka Niiniluoto, Sami Pihlström (Eds.), Reappraisals of Eino Kaila's Philosophy. [REVIEW] Vienna Circle Institute Yearbook.
  13. Thomas Mormann (forthcoming). Morris’ Pariser Programm einer wissenschaftlichen Philosophie. In Christian Bonnet & Elisabeth Nemeth (eds.), Wissenschaft und Praxis. Zur Wissenschaftsphilosophie in Österreich und Frankreich in der ersten Hälfte des 20. Jahrhunderts. Veröffentlichungen Institut Wiener Kreis Bd. 20, Springer.
    Abstract: One of the institutional highlights of the encounter between Austrian “wissen¬schaftliche Philosophie” and French “philosophie scientifique” in the first half of the 20th century was the “First International Congress for Unity of Science” that took place 1935 in Paris. In my contribution I deal with an episode of the philosophical mega-event whose protagonist was the American philosopher and semiotician Charles William Morris. At the Paris congress he presented his programme of a comprehensive, practice-oriented scientific philosophy and, in a more (...)
    Translate to English
    | Direct download  
     
    My bibliography  
     
    Export citation  
  14. Thomas Mormann (forthcoming). On the Vicissitudes of Idealism in Philosophy of Science: The Case of Cassirer's 'Critical Idealism'. Lectiones Et Acroases Philosophicae.
    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 (...)
    Direct download  
     
    My bibliography  
     
    Export citation  
  15. Thomas Mormann (2014). Matthias Neuber: Die Grenzen des Revisionismus: Schlick, Cassirer und das "Raumproblem". [REVIEW] Zeitschrift für Philosophische Forschung 68 (1):127 - 131.
  16. Thomas Mormann (2014). Set Theory, Topology, and the Possibility of Junky Worlds. Notre Dame Journal of Formal Logic 55 (1): 79 - 90.
    A possible world is a junky world if and only if each thing in it is a proper part. The possibility of junky worlds contradicts the principle of general fusion. Bohn (2009) argues for the possibility of junky worlds, Watson (2010) suggests that Bohn‘s arguments are flawed. This paper shows that the arguments of both authors leave much to be desired. First, relying on the classical results of Cantor, Zermelo, Fraenkel, and von Neumann, this paper proves the possibility of junky (...)
    Direct download (3 more)  
     
    My bibliography  
     
    Export citation  
  17. 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 (...)
    Direct download (10 more)  
     
    My bibliography  
     
    Export citation  
  18. 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 (...)
    Direct download (3 more)  
     
    My bibliography  
     
    Export citation  
  19. 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.
  20. 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 (...)
    Direct download (4 more)  
     
    My bibliography  
     
    Export citation  
  21. Vladimir Kanovei, Mikhail G. Katz & Thomas Mormann (2012). Tools, Objects, and Chimeras: Connes on the Role of Hyperreals in Mathematics. Foundations of Science 18 (2):259-296.
    We examine some of Connes’ criticisms of Robinson’s infinitesimals starting in 1995. Connes sought to exploit the Solovay model S as ammunition against non-standard analysis, but the model tends to boomerang, undercutting Connes’ own earlier work in functional analysis. Connes described the hyperreals as both a “virtual theory” and a “chimera”, yet acknowledged that his argument relies on the transfer principle. We analyze Connes’ “dart-throwing” thought experiment, but reach an opposite conclusion. In S , all definable sets of reals are (...)
    Direct download (7 more)  
     
    My bibliography  
     
    Export citation  
  22. Thomas Mormann (2012). A Place for Pragmatism in the Dynamics of Reason? Studies in History and Philosophy of Science 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. More (...)
    Direct download (4 more)  
     
    My bibliography  
     
    Export citation  
  23. Thomas Mormann (2012). A Virtual Debate in Exile: Cassirer and the Vienna Circle After 1933. Vienna Circle Institute Yearbook 16:149 - 167.
  24. Thomas Mormann (2012). Carnap's Boundless Ocean of Unlimited Possibilities: Between Enlightenment and Romanticism. In Pierre Wagner (ed.), Carnap’s Ideal of Explication and Naturalism. Palgrave Macmillan.
  25. Thomas Mormann (2012). Carnap's Boundless Ocean of Unlimited Possibilities : Between Enlightenment and Romanticism. In Pierre Wagner (ed.), Carnap's Ideal of Explication and Naturalism. Palgrave Macmillan.
    No categories
     
    My bibliography  
     
    Export citation  
  26. Thomas Mormann (2012). Idealization in Mathematics. Discusiones Filosóficas 13 (20):147 - 167.
    No categories
    Direct download (2 more)  
     
    My bibliography  
     
    Export citation  
  27. 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 (...)
    No categories
    Translate to English
    | Direct download  
     
    My bibliography  
     
    Export citation  
  28. Thomas Mormann (2012). On the Mereological Structure of Complex States of Affairs. Synthese 187 (2):403-418.
    The aim of this paper is to elucidate the mereological structure of complex states of affairs without relying on the problematic notion of structural universals. For this task tools from graph theory, lattice theory, and the theory of relational systems are employed. Our starting point is the mereology of similarity structures. Since similarity structures are structured sets, their mereology can be considered as a generalization of the mereology of sets ...
    Direct download (6 more)  
     
    My bibliography  
     
    Export citation  
  29. Thomas Mormann (2012). Toward a Theory of the Pragmatic A Priori. From Carnap to Lewis and Beyond. Rudolf Carnap and the Legacy of Logical Empiricism 16:113 - 132.
    The aim of this paper is make a contribution to the ongoing search for an adequate concept of the a priori element in scientific knowledge. The point of departure is C.I. Lewis’s account of a pragmatic a priori put forward in his "Mind and the World Order" (1929). Recently, Hasok Chang in "Contingent Transcendental Arguments for Metaphysical Principles" (2008) reconsidered Lewis’s pragmatic a priori and proposed to conceive it as the basic ingredient of the dynamics of an embodied scientific reason. (...)
    Direct download (3 more)  
     
    My bibliography  
     
    Export citation  
  30. 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.
    Direct download (8 more)  
     
    My bibliography  
     
    Export citation  
  31. Thomas Mormann (2011). One Hundred Years of Philosophy of Science: The View From Munich. Vienna Circle Institute Yearbook 15:297 - 309.
    Translate to English
    | Direct download  
     
    My bibliography  
     
    Export citation  
  32. Andoni Ibarra & Thomas Mormann (2010). Appropriating Kuhn’s Philosophical Legacy. Three Attempts: Logical Empiricism, Structuralism, and Neokantianism. Cadernos de Filosofia Das Ciencias 8:65 - 102.
    Translate to English
    | Direct download  
     
    My bibliography  
     
    Export citation  
  33. Thomas Mormann (2010). Enlightenment and Formal Romanticism - Carnap’s Account of Philosophy as Explication. Vienna Circle Institute Yearbook 14:263 - 329.
  34. Thomas Mormann (2010). History of Philosophy of Science as Philosophy of Science by Other Means? Comment on Thomas Uebel. In F. Stadler, D. Dieks, W. Gonzales, S. Hartmann, T. Uebel & M. Weber (eds.), The Present Situation in the Philosophy of Science. Springer. 29--39.
    No categories
    Direct download (2 more)  
     
    My bibliography  
     
    Export citation  
  35. Thomas Mormann (2010). History of Philosophy of Science as Philosophy of Science by Other Means?. In. In F. Stadler, D. Dieks, W. Gonzales, S. Hartmann, T. Uebel & M. Weber (eds.), The Present Situation in the Philosophy of Science. Springer. 29--39.
    No categories
    Direct download (2 more)  
     
    My bibliography  
     
    Export citation  
  36. Thomas Mormann (2010). Structural Universals as Structural Parts: Toward a General Theory of Parthood and Composition. Axiomathes 20 (2 -3):229 - 253.
    David Lewis famously argued against structural universals since they allegedly required what he called a composition “sui generis” that differed from standard mereological com¬position. In this paper it is shown that, although traditional Boolean mereology does not describe parthood and composition in its full generality, a better and more comprehensive theory is provided by the foundational theory of categories. In this category-theoretical framework a theory of structural universals can be formulated that overcomes the conceptual difficulties that Lewis and his followers (...)
    Direct download (4 more)  
     
    My bibliography  
     
    Export citation  
  37. Thomas Mormann (2010). The Debate on Begriffstheorie Between Cassirer and Marc-Wogau. Vienna Circle Institute Yearbook 14:167 - 180.
    Abstract. The aim of this paper is to reconstruct the debate on Begriffstheorie between Ernst Cassirer, the Swe¬dish philosopher Konrad Marc-Wogau, and, virtually, Moritz Schlick. It took place during in the late thirties when Cassirer had immigrated to Sweden. While Cassirer argued for a rich “constitutive” theory of concepts, Marc-Wogau, and, in a different way, Schlick favored “austere” non-con¬sti¬¬tutive theories of concepts. Ironically, however, Cassirer used Schlick’s account as a weapon to counter Marc-Wogau’s criticism of his rich con¬¬sti¬tu¬¬tive theory of (...)
    Translate to English
    | Direct download  
     
    My bibliography  
     
    Export citation  
  38. Thomas Mormann (2010). Wertphilosophische Abschweifungen Eines Logischen Empiristen: Der Fall Carnap. In Anne Siegetsleitner (ed.), Logischer Empirismus, Werte und Moral: eine Neubewertung. Springer.
    Translate to English
    | Direct download  
     
    My bibliography  
     
    Export citation  
  39. Thomas Mormann (2010). Wien Und München: Zwei Stationen der Deutschsprachigen Wissenschaftsphilosophie Im 20. Jahrhundert. In Friedrich Stadler (ed.), Vertreibung, Transformation und Rückkehr der Wissenschaftstheorie. Am Beispiel von Rudolf Carnap und Wolfgang Stegmüller. Lit Verlag.
    No categories
    Translate to English
    | Direct download  
     
    My bibliography  
     
    Export citation  
  40. Thomas Mormann (2010). Zwischen Weisheit Und Wissenschaft - Schlicks Weites Philosophisches Spektrum. Grazer philosophische Studien 80:263 - 285.
  41. Thomas Mormann (2009). Completions, Constructions, and Corollaries. In H. Pulte, G. Hanna & H.-J. Jahnke (eds.), Explanation and Proof in Mathematics: Philosophical and Educational Perspectives. Springer.
    According to Kant, pure intuition is an indispensable ingredient of mathematical proofs. Kant‘s thesis has been considered as obsolete since the advent of modern relational logic at the end of 19th century. Against this logicist orthodoxy Cassirer’s “critical idealism” insisted that formal logic alone could not make sense of the conceptual co-evolution of mathematical and scientific concepts. For Cassirer, idealizations, or, more precisely, idealizing completions, played a fundamental role in the formation of the mathematical and empirical concepts. The aim of (...)
    Translate to English
    | Direct download  
     
    My bibliography  
     
    Export citation  
  42. Thomas Mormann (2009). Bertrand Russsell, Becksche Reihe, No. 560), 2007, 180 S. ISBN: 978-3-406-45990-0 The Book is an Introduction to Bertrand Rus. [REVIEW] Grazer Philosophische Studien 78:320-323.
    No categories
    Direct download  
     
    My bibliography  
     
    Export citation  
  43. Thomas Mormann (2009). Moritz Schlick, Kritische Gesamtausgabe, herausgegeben von Friedrich Stadler und Hans-Jürgen Wendel: Die Wiener Zeit. Aufsätze, Beiträge, Rezensionen 1926–1936, Abteilung I, Band 6 (herausgegeben und eingeleitet von Johannes Friedl und Heiner Rutte). [REVIEW] Journal for General Philosophy of Science 40 (1):155 - 160.
    Translate to English
    | Direct download (5 more)  
     
    My bibliography  
     
    Export citation  
  44. Thomas Mormann (2009). Moritz Schlick, kritische gesamtausgabe, herausgegeben Von Friedrich Stadler und Hans-Jürgen Wendel: Allgemeine erkenntnislehre , abteilung 1, band 1 (herausgegeben und eingeleitet Von Hans Jürgen Wendel und fynn Ole engler). [REVIEW] Journal for General Philosophy of Science 40 (2):391 - 398.
    Translate to English
    | Direct download (6 more)  
     
    My bibliography  
     
    Export citation  
  45. Thomas Mormann (2009). New Work for Carnap's Quasi-Analysis. Journal of Philosophical Logic 38 (3):249-282.
    Carnap’s quasi-analysis is usually considered as an ingenious but definitively flawed approach in epistemology and philosophy of science. In this paper it is argued that this assessment is mistaken. Quasi-analysis can be reconstructed as a representational theory of constitution of structures that has applications in many realms of epistemology and philosophy of science. First, existence and uniqueness theorems for quasi-analytical representations are proved. These theorems defuse the classical objections against the quasi-analytical approach launched forward by Goodman and others. Secondly, the (...)
    Direct download (5 more)  
     
    My bibliography  
     
    Export citation  
  46. Thomas Mormann (2009). Russell’s Many Points. In Alexander Hieke & Hannes Leitgeb (eds.), Reduction, Abstraction, Analysis. Ontos Verlag. 11--239.
    Bertrand Russell was one of the protagonists of the programme of reducing “disagreeable” concepts to philosophically more respectable ones. Throughout his life he was engaged in eliminating or paraphrasing away a copious variety of allegedly dubious concepts: propositions, definite descriptions, knowing subjects, and points, among others. The critical aim of this paper is to show that Russell’s construction of points, which has been considered as a paradigm of a logical construction überhaupt, fails for principal mathematical reasons. Russell could have known (...)
    Direct download (4 more)  
     
    My bibliography  
     
    Export citation  
  47. Thomas Mormann (2009). Updating Classical Mereology. In C. Glymour, D. Westerstahl & W. Wang (eds.), Logic, Methodology and Philosophy of Science. Proceedings of the 13th International Congress. King’s College.
    Translate to English
    | Direct download  
     
    My bibliography  
     
    Export citation  
  48. Thomas Mormann (2008). Idealization in Cassirer's Philosophy of Mathematics. Philosophia Mathematica 16 (2):151 - 181.
    The notion of idealization has received considerable attention in contemporary philosophy of science but less in philosophy of mathematics. An exception was the ‘critical idealism’ of the neo-Kantian philosopher Ernst Cassirer. According to Cassirer the methodology of idealization plays a central role for mathematics and empirical science. In this paper it is argued that Cassirer's contributions in this area still deserve to be taken into account in the current debates in philosophy of mathematics. For extremely useful criticisms on earlier versions (...)
    Direct download (6 more)  
     
    My bibliography  
     
    Export citation  
  49. Thomas Mormann (2007). Carnap's Logical Empiricism, Values, and American Pragmatism. Journal for General Philosophy of Science 38 (1):127 - 146.
    Value judgments are meaningless. This thesis was one of the notorious tenets of Carnap’s mature logical empiricism. Less well known is the fact that in the Aufbau values were considered as philosophically respectable entities that could be constituted from value experiences. About 1930, however, values and value judgments were banished to the realm of meaningless metaphysics, and Carnap came to endorse a strict emotivism. The aim of this paper is to shed light on the question why Carnap abandoned his originally (...)
    Direct download (7 more)  
     
    My bibliography  
     
    Export citation  
1 — 50 / 124