Thomas Mormann

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 way.

En la estructura de una teoría se han distinguido tradicionalmente dos niveles conceptual y metodológicamente distintos: el nivel empirico y el teórico. Sostenemos que este enfoque de! doble nivel es incompleto y que conduce además a distorsiones, tanto en la comprensión filosofíca de las teorías como en la de su uso en la praxis científica. En este artículo se diseña un nuevo enfoque, segun el cual las teorías se conciben como estructuras representacionales tripartitas, que comprenden tres niveles conceptual y metodológicamente distintos: el nivel de los datos, el de los fenómenos y el de los constructos teóricos. Se exploran las relaciones estructurales básicas entre los tres niveles y se muestran algunas aplicaciones relativas a los problemas de la idealización.Traditionally two different conceptual and methodological levels are distinguished within a theory: the empirical and the theoretical level. We argue that this two-level account is incomplete, leading to distortions of the philosophical understanding of theories and their usage in scientific praxis. We sketch a new account according to which theories are conceptualizad as three-tiered representational structures comprising three conceptually and methodologically different levels, to wit, the levels of data, phenomena and the level of theoretical constructs. Basic structural relations between these differentlevels are studied, some applications concerning problems of idealization are given.

This paper deals with higher-order vagueness in Williamson's 'logic of clarity'. Its aim is to prove that for 'fixed margin models' (W,d,α ,[ ]) the notion of higher-order vagueness collapses to second-order vagueness. First, it is shown that fixed margin models can be reformulated in terms of similarity structures (W,~). The relation ~ is assumed to be reflexive and symmetric, but not necessarily transitive. Then, it is shown that the structures (W,~) come along with naturally defined maps h and s that define a Galois connection on the power set PW of W. These maps can be used to define two distinct boundary operators bd and BD on W. The main theorem of the paper states that higher-order vagueness with respect to bd collapses to second-order vagueness. This does not hold for BD, the iterations of which behave in quite an erratic way. In contrast, the operator bd defines a variety of tolerance principles that do not fall prey to the sorites paradox and, moreover, do not always satisfy the principles of positive and negative introspection.

To explore the extent of embeddability of Leibnizian infinitesimal calculus in first-order logic (FOL) and modern frameworks, we propose to set aside ontological issues and focus on pro- cedural questions. This would enable an account of Leibnizian procedures in a framework limited to FOL with a small number of additional ingredients such as the relation of infinite proximity. If, as we argue here, first order logic is indeed suitable for developing modern proxies for the inferential moves found in Leibnizian infinitesimal calculus, then modern infinitesimal frameworks are more appropriate to interpreting Leibnizian infinitesimal calculus than modern Weierstrassian ones.

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 precisely, Carnapian linguistic frameworks, guarantee that the evolution of science procedes in a rational manner locally,while Cassirer’s concept of an internally defined conceptual convergence of empirical theories provides the means to maintain the global continuity of scientific reason. In this paper it is argued that Friedman’s neokantian account of scientific reason based on the concept of the relativized a priori underestimates the pragmatic aspects of the dynamics of scientific reason. To overcome this short-coming, I propose to reconsider C.I. Lewis’s account of a pragmatic the priori, recently modernized and elaborated by Hasok Chang. This may be<br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br>Keywords: Dynamics of reason, Paradigms, Logical Empiricism,Neokantianism, Pragmatism, Mathematics, Communicative Rationality.

Geometry was a main source of inspiration for Carnap's conventionalism. Taking Poincaré as his witness, Carnap asserted in his dissertation Der Raum 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. It is shown that his metrical conventionalism is indefensible for mathematical reasons. This implies that the relation between topology and geometry cannot be conceptualized as analogous to the relation between the meaning of a proposition and its expression in some language as the logical empiricists used to say.

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 constitution of various kinds of structures is treated in detail: order structures, comparative similarity structures, mereological, mereotopological, and topological structures are considered. In particular, it is pointed out that there exist interesting relations between quasi-analysis and modern theories of pointless topology.

In seiner "Intellektuellen Autobiographie" stellt Carnap die These auf, eine der dringendsten Aufgaben der Philosophie sei es, die verschiedenen möglichen Sprachformen zu untersuchen und ihre charakteristischen Eigenschaften aufzudecken. Diese Charakterisierung kann als ein Schlüssel für das Verständnis seines gesamten Denkens betrachtet werden. Carnap konzipiert Philosophie als Möglichkeitswissenschaft, d.h. als eine allgemeine Theorie, konzeptuelle Möglichkeiten zu formulieren und auszuloten. Aufgabe der Philosophie ist es nach Carnap, Vorschläge zu machen, nicht aber Thesen aufzustellen. Vorschläge zu machen aber heißt, Möglichkeiten aufzuzeigen. Diese Möglichkeitsorientierung ist eine Invariante, die sich in allen Phasen seines Denkens durchhält, von der Konstitutionstheorie des Logischen Aufbau der Welt bis hin zu seinen Arbeiten zur induktiven Logik. Anhand der Interpretation einiger zentraler Werke Carnaps soll diese Interpretation seiner Philosophie als einer Möglichkeitswissenschaft im Einzelnen belegt werden

In the first third of this century Cassirer was one of the leading, most influential philosophers of the German-speaking world. He was the respected opponent of such giants as Husserl, Russell, Schlick, Heidegger or Carnap who left their mark on the philosophical landscape until this very day. One might recall his discussion with Schlick on the philosophical relevance of Einstein’s relativity theory in the first decade of this century. Carnap reported to have received essential ideas for the Logical Construction of the World from Cassirer and other neo-Kantians; or, to recall a more spectacular event concerning Cassirer’s philosophy, one might mention the famous “Davos disputation” with Heidegger in 1929 which seems to have been a major philosophical event for the audience

The Vienna Circle’s relations to Polish Semantics comprise a rather large spectrum that reaches from Camap’s whole-hearted reception, Gödel’s partial anticipation that Neurath would completely reject semantics. According to Neurath, semantics was of no help for the empiricist program of the Vienna Circle. Quite the contrary, Neurath seems to have regarded Tarski as a sort of evil genius who led astray his closest philosophical friend Carnap, seducing him to leave the path of empiricist virtue and to become addicted to the vice of Aristotelian metaphysics

Contents: Preface. Introduction. J. ECHEVERRIA, A. IBARRA and T. MORMANN: The Long and Winding Road to the Philosophy of Science in Spain. REPRESENTATION AND MEASUREMENT. A. IBARRA and T. MORMANN: Theories as Representations. J. GARRIDO GARRIDO: The Justification of Measurement. O. FERNÁNDEZ PRAT and D. QUESADA: Spatial Representations and Their Physical Content. J.A. DIEZ CALZADA: The Theory-Net of Interval Measurement Theory. TRUTH, RATIONALITY, AND METHOD. J.C. GARCÍA-BERMEJO OCHOA: Realism and Truth Approximation in Economic Theory. W.J. GONZALEZ: Rationality in Economics and Scientific Predictions: A Critical Reconstruction of Bounded Rationality and Its Role in Economic Predictions. J.P. ZAMORA BONILLA: An Invitation to Methodonomics. LOGICS, SEMANTICS, AND THEORETICAL STRUCTURES. J.L. FALGUERA: A Basis for a Formal Semantics of Linguistic Formulations of Science. A. SOBRINO and E. TRILLAS: Can Fuzzy Logic Help to Pose Some Problems in the Philosophy of Science? J. de LORENZO: Demonstrative Ways in Mathematical Doing. M. CASANUEVA: Genetics and Fertilization: A Good Marriage. C.U. MOULINES: The Concept of Universe from a Metatheoretical Point of View. List of Contributors. Index of Names