Collection of papers presented at the 2nd and 3rd Budapest Seminar in Early Modern Philosophy.

In 1870, Hermann von Helmholtz criticized the Kantian conception of geometrical axioms as a priori synthetic judgments grounded in spatial intuition. However, during his dispute with Albrecht Krause (Kant und Helmholtz über den Ursprung und die Bedeutung der Raumanschauung und der geometrischen Axiome. Lahr, Schauenburg, 1878), Helmholtz maintained that space can be transcendental without the axioms being so. In this paper, I will analyze Helmholtz’s claim in connection with his theory of measurement. Helmholtz uses a Kantian argument that can be (...) summarized as follows: mathematical structures that can be defined independently of the objects we experience are necessary for judgments about magnitudes to be generally valid. I suggest that space is conceived by Helmholtz as one such structure. I will analyze his argument in its most detailed version, which is found in Helmholtz (Zählen und Messen, erkenntnistheoretisch betrachtet 1887. In: Schriften zur Erkenntnistheorie. Springer, Berlin, 1921, 70–97). In support of my view, I will consider alternative formulations of the same argument by Ernst Cassirer and Otto Hölder. (shrink)

To explore the relation between mathematical models and reality, four different domains of reality are distinguished: observer-independent reality, personal reality, social reality and mathematical/formal reality. The concepts of personal and social reality are strongly inspired by constructivist ideas. Mathematical reality is social as well, but constructed as an autonomous system in order to make absolute agreement possible. The essential problem of mathematical modelling is that within mathematics there is agreement about ‘truth’, but the assignment of mathematics to informal reality is (...) not itself formally analysable, and it is dependent on social and personal construction processes. On these levels, absolute agreement cannot be expected. Starting from this point of view, repercussion of mathematical on social and personal reality, the historical development of mathematical modelling, and the role, use and interpretation of mathematical models in scientific practice are discussed. (shrink)

At the turn of the twentieth century, a number of philosophers introduced the idea of philosophical research on cognition that could enter into competition with psychology, which was developing into an autonomous discipline at that time. In view of the problems of the traditional but still prevailing associationist theory, Ernst Cassirer demanded a more sophisticated theory that could explain the human ability to concentrate one's thoughts on a topic, such as a problem or a task. He presented a representational theory (...) of mind to explain this ability. This paper explicates the scope of this theory and Cassirer's idea of interdisciplinary cooperation between philosophers and psychologists. (shrink)

This paper investigates the relationship between some corpuscularian and Aristotelian strands that run through the thought of the sixteenth-century philosopher and physician Julius Caesar Scaliger. Scaliger often uses the concepts of corpuscles, pores, and vacuum. At the same time, he also describes mixture as involving the fusion of particles into a continuous body. The paper explores how Scaliger’s combination of corpuscularian and non-corpuscularian views is shaped, in substantial aspects, by his response to the views on corpuscles and the vacuum in (...) the work of his contemporary, Girolamo Fracastoro. Fracastoro frequently appears in Scaliger’s work as an opponent against whom numerous objections are directed. However, if one follows up Scaliger’s references, it soon becomes clear that Scaliger also shares some of Fracastoro’s views. Like Scaliger, Fracastoro suggests corpuscularian explanations of phenomena such as water rising in lime while at the same time ascribing some non-corpuscularian properties to his natural minima. Like Scaliger, Fracastoro maintains that there is no vacuum devoid of bodies since places cannot exist independently of bodies (although their opinions diverge regarding how exactly the relevant dependency relation might be explicated). Finally, like Scaliger, Fracastoro connects a continuum view of mixture with a theory of natural minima. (shrink)

The founders of the Marburger Schule of Neo-Kantianism, Hermann Cohen and Paul Natorp, laid an emphasis upon a Platonic understanding of mathematics and logic as the paradigmatic epistemological basis of philosophy. Their successors, namely Ernst Cassirer and Nicolai Hartmann, made obvious, however, that new biological thinking can have a strong influence on ontology as well as on the theory of knowledge. They could show that biology was no longer to be treated as a metaphysical system in that pejorative meaning of (...) metaphysics which Kant had so severely been opposing. Against the anti-realistic approach of the older neo-Kantians who wanted to eliminate Kant's thing-in-itself (Ding an sich), both Cassirer and Hartmann returned to a form of realism by way of Hegel's philosophical results and reflections on his method. This makes clear that their realism is still to be taken as a more of less monistic idealism. However, considering that modern biology as an antimetaphysical force became influential in their system for the first time and that it did so in two different but - on second thoughts - complementary ways, it becomes clear that it was necessary to change the paradigms of any neo-Kantian philosophy. Cassirer proved this by his development as a philosopher with a strong historical impetus while Hartmann as a more systematical philosopher only pointed in that direction. (shrink)

The article elucidates and assesses the Marburg School’s account of the cognition. The characteristic feature of epistemology from this School is the rejection of the mirroring and acceptance of the cognitive transformation. The criticism of the mirroring theory is implicitly contained in Paul Natorp’s and Hermann Cohen’s cognitive relationism. Ernst Cassirer articulated this critical epistemology in his philosophy of the symbolic form and his conception of the symbolic representation. The historical bases of this criticism has been reconstructed as a main (...) purpose of this article. (shrink)

From the perspective of Cartesian doubt, this article explores the concept of the limitations of reasoning through the use of the Kantian words 'boundary' and 'barrier' in his Critique of Pure Reason. Hegel's critical dialogue with Kant is presented focusing on the limitation that the latter imposed on reason for the acquisition of the true knowledge of philosophical/metaphysical objects. For this purpose, the Hegelian position is presented from its discussion on the second chapter of the first section of the The (...) Doctrine of Being and references are made to conceptual elements of the Phenomenology of Spirit. (shrink)

In the present paper, the author aims at laying the foundations of a symbolics of technical gesture, according to the thesis that symbolic faculty is another face of the technological one, and that they are both in truth two sides of the same coin. Accordingly, the author suggests to rename the whole dimen-sion as “meta-environmentality”. The analysis is carried out on the basis of a specific comparison between Cassirer’s definition of “animal symbolicum” and its scientific consistence in the light of (...) modern palaeontology. “Animal symbol-icum” is here compared with Leroi-Gourhan’s homo technologicus, and Cassi-rer’s ideas on human identity tested starting from paleoanthropological data. The result of the inquiry lead us to recognize the urgency of integrating Cassi-rer’s argument with the primacy of the technological capacity, but a deep anal-ysis of the characterizing attributes of the latter compels us to uphold the symbolic attitude of the technological dimension. The author then sketches a basic description of the guidelines of a symbolic theory of technology, and tries to show how the basic elements of such an approach were familiar both to Cassirer and Leroi-Gourhan. As a consequence of the whole theory, the author elaborates a chronological analysis of human identity, whose basic result is the determination of the future as main temporal dimen-sion of human acting. (shrink)

Marburg Neo-Kantianism has attracted substantial interest among contemporary philosophers drawn by its founding idea that the success of advanced theoretical science is a given fact and it is the task of philosophical inquiry to ground the objectivity of scientific achievement in its a priori sources (Cohen and Natorp 1906, p. i). The Marburg thinkers realized that recent advances and developments in the mathematical sciences had changed the character of Kant’s transcendental project, demanding new methods and approaches to establish the objectivity (...) of the latest insights into physical reality. Hermann Cohen, one of the founders of the Marburg School, attempted to base the objectivity of science on the concepts of .. (shrink)

In the Appendix to the Transcendental Dialectic, Kant formulates teleological principles, or rather ideas, and explicates them referring to concrete examples of natural science such as chemistry, astronomy, biology, empirical psychology, and physical geography. Despite the increasing interest in the systematic relevance of the Appendix to the Transcendental Dialectic and its importance for Kant’s conception of natural science, the numerous historical sources for the regulative use of reason have not yet been investigated. One that is very central is Maupertuis’ principle (...) of least action. In 1781, Kant transformed teleology into heuristics and methodology, but in doing so, he partially develops a teleology which was disqualified by Maupertuis because its starting point lies in the construction of animals or plants, the structure of the earth, and the immensity of the celestial bodies. Based on Maupertuis’ principle of action, it can be shown that the Appendix forms a systematic interface between Universal Natural History and Theory of the Heavens and Critique of Judgement which allows the reconstruction of Kant’s regulative use of reason and its specific status in the context of natural science and his critical appraisal of Maupertuis. (shrink)

On 11thOctober 2007, at the first international conference on Integrated History and Philosophy of Science (&HPS1) hosted by the Center for Philosophy of Science in Pittsburgh, Ernan McMullin (University of Notre Dame) portrayed a rather gloomy scenario concerning the current relationship between history and philosophy of science (HPS), on the one hand, and mainstream philosophy, on the other hand, as testified by a significant drop in the presence of HPS papers at various meetings of the American Philosophical Association (APA).

Ludwik Fleck is a pioneer of the contemporary social constructionist trend in scientific theory, where his central concept of thinking style has become standard fare. Yet the concept is too often misunderstood and simplified with serious consequences not only for Fleck studies. My essay situates Fleck’s concept of thinking style in the historical context of the 1920s and ‘30s, when the notion of style was first applied to the natural sciences, in order to illustrate the uniqueness of Fleck’s concept among (...) the uses of style by his contemporaries and, finally, to examine the epistemological, methodological, and political consequences of this distinction. (shrink)

The aim of this paper is to take Galileo's mathematization of nature as a springboard for contrasting the time-honoured empiricist conception of phenomena, exemplified by Pierre Duhem's analysis in To Save the Phenomena , with Immanuel Kant's. Hence the purpose of this paper is twofold. I) On the philosophical side, I want to draw attention to Kant's more robust conception of phenomena compared to the one we have inherited from Duhem and contemporary empiricism. II) On the historical side, I want (...) to show what particular aspects of Galileo's mathematization of nature find a counterpart in Kant's conception of phenomena.------------------------------------------------------------------------------------------ ---------------------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------- ---------------------------------------------------------------------------------------------------- --------------------------------------------------. (shrink)