This paper investigates conceptions of explanation, teleology, and analogy in the works of Immanuel Kant (1724-1804) and Georges Cuvier (1769-1832). Richards (2000, 2002) and Zammito (2006, 2012, 2018) have argued that Kant’s philosophy provided an obstacle for the project of establishing biology as a proper science around 1800. By contrast, Russell (1916), Outram (1986), and Huneman (2006, 2008) have argued, similar to suggestions from Lenoir (1989), that Kant’s philosophy influenced the influential naturalist Georges Cuvier. In this article, I wish to (...) expand on and further the work of Russell, Outram, and Huneman by adopting a novel perspective on Cuvier and considering (a) the similar conceptions of proper science and explanation of Kant and Cuvier, and (b) the similar conceptions of the role of teleology and analogy in the works of Kant and Cuvier. The similarities between Kant and Cuvier show, contrary to the interpretation of Richards and Zammito, that some of Kant’s philosophical ideas, whether they derived from him or not, were fruitfully applied by some life scientists who wished to transform life sciences into proper sciences around 1800. However, I also show that Cuvier, in contrast to Kant, had a workable strategy for transforming the life sciences into proper sciences, and that he departed from Kant’s philosophy of science in crucial respects. (shrink)

The way of thinking of mathematicians and chemists in their respective disciplines seems to have very different levels of abstractions. While the firsts are involved in the most abstract of all sciences, the seconds are engaged in a practical, mainly experimental discipline. Therefore, it is surprising that many luminaries of the mathematics universe have studied chemistry as their main subject. Others have started studying chemistry before swapping to mathematics or have declared some admiration and even love for this discipline. Here (...) I reveal some of these mathematicians who were involved in chemistry from a biographical perspective. Then, I analyze what these remarkable mathematicians and statisticians could have learned while studying chemical subjects. I found analogies between code-breaking and molecular structure elucidation, inspiration for statistics in quantitative analytical chemistry, and on the role of topology in the study of some organic molecules. I also analyze some parallelisms between the way of thinking of organic chemists and mathematicians in terms of the use of backward analysis, search for patterns, and use of pictures in their respective researches. (shrink)

Kant famously distinguishes between the methods of mathematics and of metaphysics, holding that metaphysicians err when they avail themselves of the mathematical method. Nonetheless, in the Metaphysical Foundations of Natural Science, he insists that mathematics and metaphysics must jointly ground ‘proper natural science’. This article examines the distinctive contributions and unity of mathematics and metaphysics to the foundations of the science of body. I argue that the two are distinct insofar as they involve distinctive sorts of grounding relations – mathematics (...) pertains to formal grounding, while metaphysics concerns material grounding – while they are unified insofar as they treat motion, the fundamental determination of the science of body. (shrink)

Kant’s treatment of organic phenomena in the third _Critique_ is relatively well-known. Less known is that Schelling offered an original answer to the same problems in his early writings on the philosophy of nature. Even less known is the significance of his rethinking of the role of chemistry in his approach to organic phenomena. In this article, after outlining the problem of organic phenomena at the end of the eighteenth century, I reconstruct Schelling’s account of chemistry against the background of (...) Kant’s theory of matter. I show that, while Schelling endorses Kant’s verdict that chemistry is not a proper science, he nevertheless assigns to it a far greater scope and explanatory power than Kant does. After that, I briefly sketch Schelling’s solution to the problem of organic phenomena while stressing the significance of his thinking about chemistry for this solution. (shrink)

Kant’s denial that psychology is a properly so-called natural science, owing to the lack of application of mathematics to inner sense, has garnered a great deal of attention from scholars. Although the interpretations of this claim are diverse, commentators by and large fail to ground their views on an account of Kant’s conception of applied mathematics. In this article, I develop such an account, according to which the application of mathematics to a natural science requires both a mathematical representation and (...) a metaphysical validation for the positive use of this representation to achieve a priori knowledge about nature. The second condition—that of metaphysical validation—has been overlooked in the literature. I show that psychology’s falling short of natural scientific propriety consists not in our lacking sufficient mathematical tools for the representation of inner states, according to Kant. After all, we can represent the mere temporality of inner states with the line and their intensities with numbers. Rather, the problem is that metaphysics does not validate the further use of such mathematical entities for the achievement of a priori knowledge about inner phenomena. (shrink)

In his Kritik der reinen Vernunft, Kant asserts that laws of nature “carry with them an expression of necessity”. There is, however, widespread interpretive disagreement regarding the nature and source of the necessity of empirical laws of natural sciences in Kant's system. It is especially unclear how chemistry—a science without a clear, straightforward connection to the a priori principles of the understanding—could contain such genuine, empirical laws. Existing accounts of the necessity of causal laws unfortunately fail to illuminate the possibility (...) of non-physical laws. In this paper, I develop an alternative, ‘ideational’ account of natural laws, according to which ideas of reason necessitate the laws of some non-physical sciences. Chemical laws, for instance, are grounded on ideas of the elements, and the chemist aims to reduce her phenomena to these elements via experimentation. Although such ideas are beyond the possibility of experience, their postulation is necessary for the achievement of reason's theoretical ends: the unification and explanation of the cognitions of science. (shrink)

Counteracting a widespread interpretation of Schelling’s project of a philosophy of nature as anti-Kantian, this paper claims that Kant’s doctrine of the schematism plays a central role in the emergence and development of Schelling’s project. My argument will be structured in the following way. First, I will discuss Schelling’s reception of the schematism in his Ideas for a Philosophy of Nature of 1797, especially as regards his association of it with Kant’s dynamical conception of matter in the Metaphysical Foundations of (...) Natural Science. Relying on this reconstruction, I will argue, secondly, that Schelling brings together a central issue of the Critique of Pure Reason (the objectivity of pure concepts) and the overall problem of the Metaphysical Foundations (the transition from pure philosophy to empirical sciences) by addressing the issue of a schematism specifically related to outer sense. Thirdly, I maintain that this issue is at the core of the overall argument developed in the Ideas, where it appears in the form of a schematism of “materiality as such”. Finally, I suggest that the notion of a schematism of materiality as such offers a useful key to understanding the unfolding of Schelling’s project between 1797 and 1800. (shrink)

Traditional debates, such as those regarding whether the universe is finite in spatial or temporal extent, exemplified, according to Kant, the inherent tendency of pure reason to lead us astray. Although various aspects of Kant’s arguments fail to find a footing in modern cosmology, Kant’s objections to the search for a complete objective description of the cosmos are related to three intertwined issues that are still of central importance: the applicability of universal laws, the status of distinctively cosmological laws, and (...) the explanatory sufficiency of laws. We will advocate a broadly Kantian position on these three issues as part of a critical response to a prevalent strain of Leibnizian rationalism in contemporary cosmology. (shrink)

The chemist Jeremias Benjamin Richter (1762–1807) coined the term “stoichiometry” and proposed the “law of definite proportions.” He is also commonly acknowledged as having been a student of Immanuel Kant (1724–1804). This paper demonstrates how Kant’s philosophy positively shaped Richter’s approach to chemistry in the _Anfangsgründe der Stöchiometrie_ (1792–1794) and outlines two ways in which Richter attempted to represent the chemical force in “pure intuition”: (1) “reductionistic forces,” in which qualitative features scale with the quantity of matter; and (2) generalized (...) “abstracted forces,” in which a plurality of dissolution- and bonding-properties are latent within the chemical in the manifold of space-time. (shrink)

Neo-Kantianism emerged over the course of the 1860s and it occupied a leading position in the German universities from the 1870s until the First World War. Demands for getting "back to Kant" had become common since the early 1860s, and these demands were discussed in the meetings of the Philosophical Society of Berlin (Philosophische Gesellschaft zu Berlin; PGB), which was the international organization of Hegelians. In this paper I address some reactions among the PGB members to the 1860s Kant revival. (...) The journal "Der Gedanke", the organ of the PGB, reported closely how Kant returned to the spotlight of German philosophy. The reactions of the PGB members to the Kant revival was not only critical. Over the course of the 1860s the interest on Kant among the members grew little by little. (shrink)