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)

Since his Metaphysische Anfangsgründe der Naturwissenschaft was first published in 1786, controversy has surrounded Immanuel Kant’s conception of matter. In particular, the justification for both his dynamical theory of matter and the related dismissal of mechanical philosophy are obscure. In this paper, I address these longstanding issues and establish that Kant’s dynamism rests upon Leibnizian, metaphysical commitments held by Kant from his early pre-Critical texts on natural philosophy to his major critical works. I demonstrate that, throughout his corpus and inspired (...) by Leibniz, Kant endorses the a priori law of continuity of alteration as a truth of metaphysics, according to which all alterations in experience must occur gradually through all intervening degrees. The principle thus legislates against mechanical philosophy’s absolutely impenetrable atoms, as they would would involve instantaneous changes of velocity in impact. This reveals the metaphysical incoherencies in mechanical philosophy and leaves Kant’s own dynamical theory of matter, grounded on material forces, as the only viable approach to physical explanation. Subsequently, I demonstrate that Kant nevertheless made conceptual space in his system for the theoretical consideration of mechanical explanations, which makes manifest one of the positive roles that the faculty of reason can play with respect to natural science. (shrink)

In his Metaphysische Anfangsgründe der Naturwissenschaft, Kant claims that chemistry is a science, but not a proper science (like physics), because it does not adequately allow for the application of mathematics to its objects. This paper argues that the application of mathematics to a proper science is best thought of as depending upon a coordination between mathematically constructible concepts and those of the science. In physics, the proper science that exhausts the a priori knowledge of objects of the outer sense, (...) only motions and concepts reducible to motions can be legitimately coordinated with mathematical constructions. Since chemistry can neither achieve its own a priori principles of coordination nor be reduced to the coordinated doctrine of motion, it is a merely improper science. (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)

In this paper, I develop a new interpretation of the order of nature, its function, and its implications in Margaret Cavendish’s philosophy. According to the infinite balance account, the order of nature consists in a balance among the infinite varieties of nature. That is, for Cavendish, nature contains an infinity of different types of matter: infinite species, shapes, and motions. The potential tumult implicated by such a variety, however, is tempered by the counterbalancing of the different kinds and motions of (...) matter against one another, or what Cavendish calls the “poising” of nature’s actions by their opposites. The infinite balance account of order offers insight into a central notion of Cavendish’s system and bears important implications for other interpretive issues. To wit, the account resolves the standing issue of whether there is genuine disorder in Cavendish’s universe and elucidates the nature of her opposition to atomism. Nevertheless, the interpretation faces an epistemic challenge, insofar as Cavendish appears to deny knowledge of infinity. I argue that, for Cavendish, our knowledge of the order of nature is conceptual and non-empirical, revealing limits to her apparent empiricism. (shrink)

Kant’s preoccupation with architectonics is a characteristic and noteworthy aspect of his thought. Various features of Kant’s argumentation and philosophical system are founded on the precise definitions of the various subdomains of human knowledge and the derivative borders among them. One science conspicuously absent from Kant’s routine discussions of the organization of knowledge is chemistry. Whereas sciences such as physics, psychology, and anthropology are all explicitly located in the architectonic, chemistry finds no such place. In this paper, I examine neglected (...) passages from Kant’s corpus as well as texts regarding chemistry that Kant himself read in order to unveil his views on the definition of chemistry and its relations with the other sciences. These considerations reveal chemistry to be the science that studies the changes of matter into new kinds. Yet Kant idiosyncratically believes that such a change requires an infinite division of matter, effected by chemical forces. Although this understanding of chemical change dovetails with Kant’s dynamical, continualist theory of matter, it implies that chemistry cannot be reduced to physics. Thus, although chemistry stands alongside empirical physics as an applied natural science in Kant’s architectonic, it remains a distinct, independent science. (shrink)

Kant conceives of chemical dissolutions as involving the infinite division and subsequent blending of solvent and solute. In the resulting continuous solution, every subvolume contains a uniform proportion of each reactant. Erich Adickes argues that this account stands in tension with other aspects of Kant’s Critical philosophy and his views on infinity. I argue that although careful analysis of Kant’s conception of dissolution addresses Adickes’ objections, the infinite division inherent to the process is beyond our human cognition, for Kant. Nevertheless, (...) such infinite division may be considered as an idea of reason to make comprehensible chemical reactions, revealing reason to play a pivotal role in the foundations of chemistry. (shrink)

In his Metaphysische Anfangsgründe der Naturwissenschaft (MAN), Kant claims that chemistry is an improper, though rational science. The chemistry to which Kant confers this status is the phlogistic chemistry of, for instance, Georg Stahl. In his Opus Postumum (OP), however, Kant espouses a broadly Lavoiserian conception of chemistry. In particular, Kant endorses Antoine Lavoisier's elements, oxygen theory of combustion, and role for the caloric. As Lavoisier's lasting contribution to chemistry, according to some histories of the science, was his emphasis on (...) quantitative methods, Kant's assimilation of the chemical revolution raises the question: did Kant continue to think of chemistry as an improper, though rational, science in OP? In this paper, I answer this question affirmatively. I explain that a proper science requires a priori laws for the mathematical construction of its objects: the mere use of quantitative measurements is insufficient for the satisfaction this requirement. Further, I argue, contra Burkhard Tuschling, that in OP Kant retains a central role for mathematical construction in the foundations of proper natural science. Finally, I contend that the prominent a priori components of chemistry discussed in OP—the aether and the enumeration of the elements—do not make chemistry into a proper science. (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)

Thorough comparison of Immanuel Kant’s and Christian Wolff’s divergent appraisals of the science of psychology reveals various ways in which Kant fundamentally altered the Wolffian philosophical apparatus that he inherited. Wolff conceived of a thoroughgoing interplay between empirical and rational psychology, of combining different sorts of cognition in psychology, and of a mathematical science of the soul, or psychometrics. Kant however rejected each of these particular theses and deemed psychology to be no natural science, “properly so-called.” This chapter details these (...) departures from Wolff, explains their basis, and concretizes an underlying contrast in Kant’s and Wolff’s respective philosophical approaches. Namely, whereas Wolff’s philosophical system is malleable, allowing for the combination of various kinds of cognition and methods, in Kant’s Critical philosophy, everything has its proper, preordained niche. At bottom, it is the unyielding rigor of Kant’s system that results in his pessimistic evaluation of the prospects for psychology. (shrink)

In his Metaphysical Foundations of Natural Science, Kant presents the “pure part” of natural science – that is, the a priori principles holding of matter. This special metaphysics of matter is, Kant claims, grounded on the general metaphysics of nature described in the System of Principles of his first Critique. This chapter develops a comprehensive account of Kant’s framework for natural science that touches on interpretive issues that arise in the transition from general to special metaphysics and that outlines his (...) dynamics and its limitations. (shrink)

In his Metaphysical Foundations of Natural Science, Kant accounts for the possibility of an acting-at-a-distance gravitational force, demonstrates the infinite divisibility of matter, and derives analogues to Newtonian laws of motion. The work is his major statement in philosophy of science, and was especially influential in German-speaking countries in the nineteenth century. However, this complex text has not received the scholarly attention it deserves. The chapters of this Critical Guide clarify the accounts of matter, motion, the mathematization of nature, space, (...) and natural laws exhibited in the Metaphysical Foundations; elucidate the relationship between its metaphysics of nature and Kant's critical philosophy; and describe the historical context for Kant's account of natural science. The volume will be an invaluable resource for understanding one of Kant's most difficult works, and will set the agenda for future scholarship on Kant's philosophy of science. (shrink)