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)

In this paper we compare the interpretation of the differential calculus that Hegel proposes in the Science of Logic with that which Cohen develops in The Principle of the Infinitesimal Method and its History and in the second edition of the Kantian Theory of Experience. Although both philosophers find in the calculus the founding qualitative principle of the quantitative, Cohen argues that Hegel does not solve the problem of the relation between mathematics and natural science.

The paper surveys the possibility of keeping a neo-Kantian approach in the face of Loop Quantum Gravity. Together with a preliminary analysis of Cassirer’s re-interpretation of Kantian philosophy that allowed him to harmonize the a priori cognitions with the theory of relativity and quantum mechanics, it will focus on the distinction between constitutive and regulativea priori. In this way, the paper will suggest that despite Rovelli’s refutation of Kant’s interpretation of space and time, he seems, at least implicitly, to hold (...) to a couple of neo-Kantian assumptions: the usage of constitutivea priori principlessuch as granularity, indeterminism and partially relation, and the claim for functionalism as a rule in ordering the ‘appearances’. (shrink)

This paper compares Cohen’s Logic of Pure Knowledge and Cassirer’s Substance and Function in order to evaluate how in these works Cohen and Cassirer go beyond the limits established by Kantian philosophy. In his Logic, Cohen seeks to ground in pure thought all the elements which Kant distinguishes in empirical intuition: its matter (sensation) as well as its form (time and space). In this way, Cohen tries to provide an account of knowledge without appealing to any receptivity. In accordance with (...) Cohen’s project of reformulating the Kantian theory of sensibility, Cassirer undertakes in Substance and Function the task of developing an alternative doctrine of pure and empirical manifolds. But whereas Cohen analyzes the laws of pure thought, Cassirer aims to highlight the functional character of concepts in the development of modern mathematics and physics. I will discuss these two different approaches to the problems raised by Kantian philosophy and I will argue that Cassirer went further than Cohen in the project of critical idealism. (shrink)

Hans Kelsen’s purity thesis is the basic methodological principle of the Pure Theory of Law. Indeed, it is no exaggeration to say that virtually everything that is peculiar to Kelsen’s legal theory stems from the purity thesis. This includes Kelsen’s normativism or non‐naturalism and his polemic against various dualisms in legal science. I set out Kelsen’s position on these issues after looking at the nomenclature of purity in his writings as well as the philosophical and contextual sources of purity as (...) he understands them. (shrink)

This paper reconstructs the major transformations in the Marburg neo-Kantian account of experience. By focusing on the problem of ‘conceptualism’, it traces connections between four issues that are central to the transcendental projects of the Marburg philosophers: the interpretation of Kant, the critique of experiential givenness, the account of objective cognition in science, and the relation between scientific and pre-scientific experience. My historical narrative identifies two shifts. The first is from Cohen's conceptualist answer to the threat of subjectivism to Cassirer's (...) functionalist answer to empiricism. The second is from Cassirer's conceptualism about scientific experience to his symbolic non-conceptualism about everyday perception. My reconstruction reveals the fate of neo-Kantian conceptualism to be linked to the fate of pre-scientific perception and suggests that the continuing significance of the Marburg philosophers lies in their responses to the coming apart of the manifest and the scientific image. (shrink)

In the second edition of Hermann Cohen’s Kant’s Theory of Experience, he abandons the interpretation of Kant’s Anticipations of Perception that he gave in the first edition, in favourof a radically different one. On his early interpretation, the Anticipations is largely of psychological interest for its influence on, and continuing significance for, physiological psychology and psychophysics. But on his mature interpretation, it defends the superiority of a dynamic conception of nature over a mechanical conception. Further, on his early interpretation, Cohen (...) thought the Anticipations was not a central part of Kant’s critical theory of knowledge. But on his mature interpretation, he thinks it is absolutely central to that project. What is more, Cohen seems to have revised his interpretation in a relatively short period of time, in 1880-1. This paper argues that Cohen’s change in views about Kant’s Anticipations is explained by his reception of Leibniz in the very early 1880s, and specifically Cohen’s reception of Leibniz’s arguments against Descartes’ view that extension is the essence of matter. (shrink)

The aim of this paper is to analyze Dimitry Gawronsky’s doctrine of actual infinitesimals. I examine the peculiar connection that his critical idealism establishes between transcendental philosophy and mathematics. In particular, I reconstruct the relationship between Gawronsky’s differentials, Cantor’s transfinite numbers, Veronese’s trans-Archimedean numbers and Robinson’s hyperreal numbers. I argue that by means of his doctrine of actual infinitesimals, Gawronsky aims to provide an interpretation of calculus that eliminates any alleged given element in knowledge.

This essay examines the provenance of a single, curious term that William James often used in connection with his own pragmatism. The term is Denkmittel, an uncommon German contraction of Denk and Mittel. James’s Central European sources for this now forgotten bit of philosophical jargon provide a small illustration of a bigger historical point that too often gets obscured. Pragmatism—James’s pragmatism, at least—was both allied with and inspired by a broader sweep of scientific instrumentalism that was already flourishing in fin (...) de siècle European philosophy. (shrink)