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

This paper seeks to illuminate Schopenhauer’s notion of the negation or denial of the will by investigating the figure of the saint within his philosophy. We argue that various discussions in Schop...

The question of the applicability of mathematics is an epistemological issue that was explicitly raised by Kant, and which has played different roles in the works of neo-Kantian philosophers, before becoming an essential issue in early analytic philosophy. This paper will first distinguish three main issues that are related to the application of mathematics: indispensability arguments that are aimed at justifying mathematics itself; philosophical justifications of the successful application of mathematics to scientific theories; and discussions on the application of real (...) numbers to the measurement of physical magnitudes. A refinement of this tripartition is suggested and supported by a historical investigation of the differences between Kant’s position on the problem, several neo-Kantian perspectives, early analytic philosophy, and late 19th century mathematicians. Finally, the debate on the cogency of an application constraint in the definition of real numbers is discussed in relation to a contemporary debate in neo-logicism, in order to suggest a comparison not only with Frege’s original positions, but also with the ideas of several neo-Kantian scholars, including Hölder, Cassirer, and Helmholtz. (shrink)

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)

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)

Many contributors of the debate about knowledge by testimony concentrate on the problem of justification. In my paper I will stress a different point – the concept of testimony itself. As a starting point I will use the definitional proposal of Jennifer Lackey. She holds that the concept of testimony should be regarded as entailing two aspects – one corresponding to the speaker, the other one to the hearer. I will adopt the assumption that we need to deal with both (...) aspects. Nevertheless, I will show that her concept – which suggests regarding testimony as an act of communication conveying information – is too broad and, therefore, I will end up with a different twofold definition. (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)

In this article, I focus on Johann Nikolaus Tetens’s linguistic theory to make three arguments: (a) this linguistic theory endorses a phonological (contra phonetic) approach to the acoustic sphere of language; (b) the phonological approach is based on the idea that sounds can turn into phonemes (of a properly human language) only when a minimally rational reflection on them is made; and (c) the phonological approach allows us to understand the phoneme as a differential unity, as being composed of structure (...) and function, and as giving a theoretical basis for language learning. (shrink)

It is often claimed (most recently by Michael Friedman) that Kant intended to justify Newton’s most fundamental claims expressed in the Principia, such as his laws of motion and the law of universal gravitation. In this article, I argue that the differences between Newton’s laws of motion and Kant’s laws of mechanics are not superficial or merely apparent. Rather, they reflect fundamental differences in their respective projects. This point can be seen especially clearly by considering the nature of the various (...) projects undertaken in Germany prior to Kant that discuss the laws of motion. Wolff and his followers qua metaphysicians were especially interested in providing nonempirical justifications of their laws of motion as well as an intelligible account of the fundamental properties of bodies in terms of substance, accident, and force. Maupertuis and Euler, despite often being seen as Newtonians, both drew on traditions other than Newton’s. Physics textbooks (by figures such as Erxleben, Karsten, ‘s Gravesande, and Musschenbroek) vary considerably in their aims, but in none of these cases is Newton’s main argument of the Principia presented. In light of the fact that these projects are distinct in significant ways from Newton’s project, the differences between Newton’s laws of motion and Kant’s laws of mechanics are most likely not merely apparent but reflect the fact that Kant, too, was pursuing a project fundamentally distinct from Newton’s. (shrink)

Whenever one reads internal histories of psychology what is covered is the establishment of a lab by Wundt in 1879 as the initiating act and then the breakaway movements of the 20th Century are discussed: Behaviorism, Gestalt Theory, Psychoanalysis, and most recently the Cognitive revival. However, Aron Gurwitsch described a perspective noted by Cassirer and first developed by Malebranche, which dates the founding of psychology at the same time as that of physics in the 17th Century. This external perspective shows (...) the dependency of psychology upon the concepts, methods and procedures of physics and the natural sciences in general up until the present time. Gurwitsch argues that this approach has blocked the growth of psychology and has assured its status as a minor science. He argued that the everyday Lifeworld achievements of subjectivity are the true subject matter of psychology and that a phenomenological approach to subjectivity could give psychology the authenticity it has been forever seeking but never finding as a naturalistic science. Some clarifying thoughts concerning this phenomenologically grounded psychology are offered, especially the role of desire. The assumption of an external perspective toward the history of psychology fostered the insights about psychology’s scientific role. (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)

The criteria for what is considered as science have been debated for a very long time. This article assumes the scientific nature of Theology as a given. This article discusses in three concentric circles the scientific nature of Theology and the type of contribution Theology can make. The first circle addresses the nature of science. This broader look at what is considered to be science sets the context for the ensuing discussion. Secondly, Theology as science is investigated. The criteria which (...) make Theology an indispensable part of the scientific project is identified as the ability to collaborate with other sciences based on a shared interest in reality and creation. Further, Theology as science has the ability to contextualise the products of scientific efforts to be relevant not only to the faith community but to society at large. Theology as science requires a critical self-reflection which does not only include a self-understanding but also a self-renewal. The third concentric circle focusses on the scientific nature of Theology as practised at the Faculty of Theology at the University of Pretoria. The Faculty of Theology endeavours to produce life-giving Theology. To prove itself to be scientific Theology needs to act credible by contributing to the wellness of society. (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)

Die Simmel-Cassirer-Kontroverse behandelt den grundlegenden technikphilosophischen Gegensatz zwischen Kulturpessimismus und Kulturoptimismus. Diesen virtuellen Dialog beider Denker arbeitet Oliver Honer neu auf und entwickelt in einem aufsteigenden Reflexionsgang die Simmel'sche Rede von der »kulturellen Logik der Objekte« zum Begriff. Damit modelliert er das Verhältnis agierender Individuen zu ihren jeweiligen Möglichkeitsräumen und zeigt deren prekären Subjektstatus in diesen Räumen auf. Die dabei freigelegten Verhältnisse eröffnen angesichts technisch induzierter Eigenlogiken neue Wege einer dialektischen Kulturkritik.

In 1912, Ernst Cassirer contributed to the special issue of the Kant-Studien that honored Hermann Cohen's retirement—his mentor and teacher, and the recognized founding father of the so-called 'Marburg school' of Neo-Kantianism. In the context of an otherwise rather conventional presentation of Cohen's interpretation of Kant, Cassirer made a remark that is initially surprising. It is “anything but accurate,” he wrote, to regard Cohen's philosophy as focused “exclusively on the mathematical theory of nature,” as is usually done. A reconstruction of (...) the genesis of Cohen's thought, Cassirer continued, would already refute this interpretation. Actually, “[t]he... (shrink)

The article considers Cassirer’s philosophy of mathematics in opposition to empiricist theories, Frege’s logicism, and its realism, Hilbert’s formalism and its nominalism, and Brouwer’s intuitionism grounding mathematics in the intuition of time. For Cassirer mathematical objects are purely relational structures and not abstractions of certain characteristics, as is the case with empiricists and Frege. In opposition to logicists, Cassirer argues for the synthetic nature of mathematics. Contrary to Brouwer, he does not ground this in intuition but ascribes to mathematics a (...) purely logical nature and relates it to the purely rational faculty of the spirit. He thus turns away from Hilbert, who takes sensuous objects to be the object of mathematics; he also cannot agree with his formalism, which reduces all progress in mathematics to a mere combination of signs, thus stripping it of all meaning. The article considers these differences in view of the opposition between the cardinal and ordinal theories of number and the introduction of ideal elements. (shrink)

Arthur Pap’s work played an important role in the development of the analytic tradition. This role goes beyond the merely historical fact that Pap’s views of dispositional and modal concepts were influential. As a sympathetic critic of logical empiricism, Pap, like Quine, saw a deep tension in logical empiricism at its very best in the work of Carnap. But Pap’s critique of Carnap is quite different from Quine’s, and represents the discovery of limits beyond which empiricism cannot go, where there (...) lies nothing other than intuitive knowledge of logic itself. Pap’s arguments for this intuitive knowledge anticipate Etchemendy’s recent critique of the model-theoretic account of logical consequence. Pap’s work also anticipates prominent developments in the contemporary neo-Fregean philosophy of mathematics championed by Wright and Hale. Finally, Pap’s major philosophical preoccupation, the concepts of necessity and possibility, provides distinctive solutions and perspectives on issues of contemporary concern in the metaphysics of modality. In particular, Pap’s account of modality allows us to see the significance of Kripke’s well-known arguments on necessity and apriority in a new light. (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)

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 meaning and validity of Kant’s Kant’s doctrine of schematism remains contested until today. In neo-Kantianism and post-War transcendental philosophy, Kant’s schematism of the pure concepts of understanding is transformed drastically. Kant’s thesis of heterogeneity is overcome by taking it back into the internal relationships of the structure of cognition. The spontaneity of thought, performing schematizations, is retained, but Kant’s project of conceiving of the foundations of knowledge in the fashion of a theory of apperception of the I as well (...) as the externality of the given and the determination of the given that goes along with it is sublated by an objective order of validity-noematic constitution and regulation. Kant’s doctrine of schematism, then, shows to be methodology. (shrink)