Kant: Science, Logic, and Mathematics

This Element analyzes Kant's metaphysics and epistemology of the exact science of nature. It explains his theory of true motion and ontology of matter. In addition, it reconstructs the patterns of evidential reasoning behind Kant's foundational doctrines.

In this paper, we analyse conceptions of induction and certainty in Wolff and Crusius, highlighting their competing conceptions of physics. We discuss (i) the perspective of Wolff, who assigned induction an important role in physics, but argued that physics should be an axiomatic science containing certain statements, and (ii) the perspective of Crusius, who adopted parts of the ideal of axiomatic physics but criticized the scope of Wolff’s ideal of certain science. Against interpretations that take Wolff’s proofs in physics to (...) be based on empirical statements that are probable, we show how inductively established statements, coupled with assumptions concerning the uniformity of nature, can be certain according to Wolff. We examine Crusius’ little known work on physics and show that he attacked Wolff, arguing that many statements of physics are probable. We provide a discussion of the reception of methodological rules similar to Newton’s Regulae Philosophandi, discussing different interpretations of such rules. We conclude by briefly hinting at how the debate between Wolff and Crusius provides historical context for understanding Kant’s philosophy of natural science. (shrink)

A Calculus of Qualia (CQ) was proposed (on PhilPapers). The key idea is that, for example, blackness is radically different than █. The former term, “blackness” refers to or is about a quale, whereas the latter term, “█” instantiates a quale in the reader's mind and is non-referential, *it does not even refer to itself*. The meaning and behavior of these terms is radically different. In this paper in this series of papers, we discuss Godel Incompleteness and the incompleteness or (...) not of CQ. (shrink)

The present work is a beautific monograph over Kant’s philosophy. It begins with the proper analysis of nature and significance of content copernican revolution. The author has systematically formulated the epistemic and non-epistemic implications of Kant’s Philosophy the epistemic implications cover the philosophical issues and seminal significance: the notion of space and time, the nature and function of categories, distinction of phenomena and noumena, refutation of idealism and Kantain transcendental idealism, transcendental unity of pure apperception, nature function and limitations of (...) reason (vernuft) and few more. The non-epistemic implication encompass: metaphysical, ethical and aesthetic implications. In metaphysical implication the author clearly demonstrated the limit of reason as a theoretical reason can’t venture into the realm of metaphysical(noumenal) entities such as God, Soul and cosmos- leading to reputation of metaphysics. The ethical implication is directed towards ,analysing the nature and good will, holy will and autonomous will, and apart from that a critical treatment is offered to categorical imperative postulated and maxims of morality. The aesthetics implication tries to analyse the content notion of beauty, sublime and teleology of nature. It is on account of the conceptual clarity, linguistic beauty and systematic exposition of the subject matter that book will receive the enthusiastic response from the students and scholars of philosophy. -/- This book is also Peer reviewed in JICPR, Volume XIX, No. 2, April-June, 2002 by Prof. Laksminarayan Lenka, Department of Philosophy, North Eastern Hill University, Shillong. (shrink)

In his lectures on Logic and Metaphysics, Kant distinguishes between logical and real essences. While the former is related to concepts and is knowable, the latter is related to things and is unknowable. In this paper, I argue that the unknowability is explained by the modal characteristic of real essences as a necessitating ground on which a priori knowledge is impossible. I also show how this claim is related to the unknowable necessity of particular laws of nature. Since laws of (...) nature are conceived as grounded in real essences, the unknowability of the latter is equivalent to Kant's other claim that there can be no knowledge of the necessity of particular laws of nature. Necessity can only be known a priori, and therefore, the necessity of particular laws is only assumed and conceived as grounded in something unknowable, a real essence. This conclusion will allow me to attribute to Kant a position I label as “regulative essentialism”, meaning that real essences have an indispensable role in accordance with the rational interest to explain nature as a system of laws and natural kinds, combined with an epistemic humility about the correspondence of our empirical concepts to real essences. (shrink)

To believe that logic has no history might at first seem peculiar today. But since the early 20th century, this position has been repeatedly conflated with logical monism of Kantian provenance. This logical monism asserts that only one logic is authoritative, thereby rendering all other research in the field marginal and negating the possibility of acknowledging a history of logic. In this paper, I will show how this and many related issues have developed, and that they are founded on only (...) one prominent statement by Kant. I will argue, however, that this statement takes on a very different meaning in a broader context of the history and philosophy of science, and that Kant and his supporters never advocated the logical monism that they are still said to hold today. (shrink)

Early modern foundations for mechanics came in two kinds, nomic and material. I examine here the dynamical laws and pictures of matter given respectively by Newton, Leibniz, and Kant. I argue that they fall short of their foundational task, viz. to represent enough kinematic behavior; or at least to explain it. In effect, for the true foundations of classical mechanics we must look beyond Newton, Leibniz, and Kant.

Kant was well versed in many of the debates taking place in the life sciences during his day. One of the more central areas of contention concerned the proper means for discriminating between material bodies composed of organised parts (like clocks or automatons) and living material bodies composed of organised parts (like plants and animals). For many theorists, it seemed clear that the physically organised structure of a body was distinct from any vital forces responsible for the life processes or (...) metabolism at work within it. This was the approach taken by the chemist Georg Stahl (1659-1734), for example, who resisted attempts to provide a mechanical account of metabolism, arguing instead that only something like a physis or anima could explain a living body’s capacity for the movement of otherwise inert material parts. This was a position which Kant appears to have appreciated when, in discussing the issue in 1766, he exclaimed “I am convinced that Stahl, who is disposed to explain animal processes in organic terms, was frequently closer to the truth than [the mechanists] Hofmann or Boerhaave, to name but a few” (2:331). And indeed, by 1790 Kant would reach conclusions similar to Stahl’s regarding the manner by which we must reflectively judge animal processes to be operating, given that for Stahl the biological body was best taken to be a complex, self-organising system of material parts and a purposive force or physis responsible for their ongoing interrelation. (shrink)

There is a collection of words being used by Kant when it comes to his discussion of the various processes associated with the English word “generation.” The closest German word, Erzeugung, can be used either generically—to form an idea, to create an effect or event—or as part of a scientific theory. Kant used Erzeugung in both senses repeatedly across his corpus and referred from his earliest works to scientific theories regarding cosmological formation, the generation of earthquakes and volcanoes, and the (...) production of biological life, all by way of Erzeugung. The constellation of theories revolving around questions of organic generation were of special interest to Kant, and he spent time throughout his career considering the various processes by which the generation and subsequent development of an individual might occur. (shrink)

Kant’s use of epigenesis differed according to the context within his remarks were made and can be seen to be falling within three main types of consideration. The first of these considered epigenesis as a theory of biological generation. A second group of related uses of the term epigenesis consider whether the biological account impacts discussions of the transference of soul from parent to child. The third type of consideration stems from Kant’s efforts, primarily in the 1770s, to use epigenesis (...) as a model for understanding the spontaneous generation of ideas, with reason positioned thereby as a self-formative capacity. (shrink)

This essay considers Kant’s theory of modality in light of a debate in contemporary modal metaphysics and modal logic concerning the Barcan formulas. The comparison provides a new and fruitful perspective on Kant’s complex and sometimes confusing claims about possibility and necessity. Two central Kantian principles provide the starting point for the comparison: that the possible must be grounded in the actual and that existence is not a real predicate. Both are shown to be intimately connected to the Barcan formulas, (...) and Kant’s views on what he distinguishes as three different kinds of modality are then considered in light of this connection. (shrink)

The aim of the Analytic of Concepts is to derive and deduce a set of pure concepts of the understanding, the categories, which play a central role in Kant’s explanation of the possibility of synthetic a priori cognition and judgment. This chapter is structured around two questions. First, what is a pure concept of the understanding? Second, what is involved in a deduction of a pure concept of the understanding? In answering the first, we focus on how the categories differ (...) from the pure forms of sensibility and examine whether they are known only to be the pure forms of human thinking or rather the forms of discursive cognition as such. In answering the second, we draw a distinction between the application and the exemplification of the categories and use it to identify different ways of understanding Kant’s project in the Transcendental Deduction of the Categories. These questions connect because the answer to the first determines how we should understand the kind of entitlement which is to be established in the Deduction. (shrink)

SPECIAL SECTION: BUILDING UNIVERSES: THE PHILOSOPHICAL AND MATHEMATICAL UNDERPINNINGS OF COSMOLOGY (EIGHTEENTH–TWENTIETH CENTURIES).

The of aim of this paper is to enquire about some theoretical aspects of Kant’s philosophy that are connected to the representation ‘I’ and the question of self-identification in self-consciousness. The subjective capacity to represent itself through the representation ‘I’ will be articulated on the basis of the structure the so-called de se or I-thoughts developed by Perry and Recanati. In this regard, a contrast between Longuenesse’s view and my approach on self-identification and the different uses of I as subject (...) will be considered. (shrink)

This paper analyzes the historical context and systematic importance of Kant's hypothetical use of reason. It does so by investigating the role of hypotheses in Kant's philosophy of science. We first situate Kant’s account of hypotheses in the context of eighteenth-century German philosophy of science, focusing on the works of Wolff, Meier, and Crusius. We contrast different conceptions of hypotheses of these authors and elucidate the different theories of probability informing them. We then adopt a more systematic perspective to discuss (...) Kant's idea that scientific hypotheses must articulate real possibilities. We argue that Kant's views on the intelligibility of scientific hypotheses constitute a valuable perspective on scientific understanding and the constraints it imposes on scientific rationality. (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)

Book Review of Kenneth Westphal's Kant’s Critical Epistemology: Why Epistemology Must Consider Judgment First.

In this paper, building on recent and longstanding work (Warren 2001, Friedman 2013, Glezer 2018), I investigate how the account of the essences or natures of material substances in the Metaphysical Foundations is related to Kant’s demand for the completeness of the system of nature. We must ascribe causal powers to material substances for the properties of those substances to be observable and knowable. But defining those causal powers requires admitting laws of nature, taken as axioms or principles of natural (...) science, which govern anything that can be constructed mathematically or “given as an object of experience” (MAN, 4:474–75). Presenting a complete system of nature requires adumbrating the properties of material substances that can be objects of experience. But it is not possible to show how those properties are involved in explanations of the phenomena without involving the laws that govern interactions between material substances. For Kant, or so I will argue, it is not possible to account for the natures of things, or for the features of laws of nature, independently of each other. The paper will substantiate the Finitist Account (FA) of Kant on laws. The Finitist Account has it that modal judgments about the possible proofs that can be made, or interactions that can be explained, are (1) based on concrete intuitive reasoning and motivated by the desire to avoid appeal to the actual infinite, (2) grounded in finite decision procedures, which are (3) based on reliable systems of axioms or rules of inference. (shrink)

Kant often seems to suggest that a cognition – whether an everyday cognition or a scientific cognition – cannot be beautiful. In the Critique of Judgment and the Lectures on Logic, he writes: ‘a science which, as such, is supposed to be beautiful, is absurd.’ (CJ 184 (5:305)) ‘The expression "beautiful cognition" is not fitting at all’ (LL 446 (24:708)). These claims are usually understood rather straightforwardly. On the one hand, cognition cannot be beautiful since on Kant’s account, it is (...) all about concepts whilst beauty is defined by its non-conceptual nature. On the other hand, beauty cannot contribute to cognition since the former is grounded on subjective feelings whilst cognition is all about objective knowledge. However, I will argue that Kant’s view of the relationship between cognition and beauty is not as straightforward as it may seem, and that both of these claims are in fact false. As I will show, cognition can be beautiful, and the feeling of beauty is cognitively valuable. Yet it is not because beauty is a sign of the truthfulness of a theory. Nor is it because the process that gives rise to the feeling of beauty, the free play, furthers scientific progress. Rather, it is because the experience of beauty stimulates our cognitive powers and thereby enhances our cognitive activity. On this basis, contrary to what is usually thought, cognition can, and in fact should, be beautiful for Kant. (shrink)

The Kant-Lexikon is a guide to the philosophical work of Immanuel Kant and incorporates the latest scholarship. This textbook edition presents the most important entries contained in the comprehensive, three-volume lexicon released in 2015.

During the course of the eighteenth century important changes occurred in the conception of matter held by British natural philosophers. Historians of science have described these changes in different ways, but certain common features can be abstracted from the more recent accounts. First, there was a movement away from Newtonian matter theory, which saw all matter as the various organizations of homogeneous particles and the forces of attraction and repulsion acting between them. In place of this theory increasing favour was (...) shown towards a more empirical or ‘chemical’ approach to matter which assumed the existence of several essentially distinct types of matter each endowed with different specific qualities or properties. Second, there was an increasing tendency to accept activity as a property of matter itself rather than to ascribe it to immaterial forces. (shrink)

The aim of the paper is to analyse the geometrical aspects of a series of modern paintings and to show the parallel between them and the development of modern geometry. It starts with El Greco, offering a geometrical explanation of his painting the figures in a prolonged manner. Further the analogy between the impressionist way of creating space and the geometrical idea of Cayley to use projective space as a basis for non-Euclidean geometry is reconstructed. Next the paper describes the (...) parallel between the creation of space in the paintings of Cézanne and Picasso and the concept of space in algebraic topology. In conclusion the paper deals with the analogy between Kandinski's abstract paintings and the set-theoretical foundations of geometry. (shrink)

This essay is concerned with Graham Bird’s treatment, in The Revolutionary Kant, of Kant’s mathematical antinomies. On Bird’s interpretation, our error in these antinomies is to think that we can settle certain issues about the limits of physical reality by pure reason whereas in fact we cannot settle them at all. On the rival interpretation advocated in this essay, it is not true that we cannot settle these issues. Our error is to presuppose that the concept of the unconditioned has (...) application to physical reality. Once this presupposition has been abandoned, we can retrieve sound arguments from the antinomies, not indeed to demonstrate that the views originally being defended are correct, but to demonstrate that the views originally being attacked are incorrect. The essay concludes with some comments concerning how this disagreement relates to a broader disagreement about the best way to understand Kant. (shrink)

Kant’s revolutionary new approach to philosophy was accompanied by the introduction of a largely novel terminology. With the Kant-Lexikon, a lexical reference gives the modern reader access to his work on the basis of present-day editions and takes into account 20th century and contemporary research and advances in lexicology. The Kant-Lexikon includes 2395 entries authored by 221 scholars.

There is substantial scholarship concerning the origin and use of the question “quid facti” in Kant’s Transcendental Deduction. There is also substantial scholarship concerning the question in the work of Salomon Maimon, the skeptical critic of Kant. The pictures of the “quid facti” question that emerge from these two bodies of literature, however, are rather different, and there has been no attempt to reconcile them. The goal of this paper is thus to compare Kant’s and Maimon’s understandings of the quaestio (...) facti in order to understand how and why they differ. Part I begins by summarizing the legal context of the quaestio facti and identifying three sub-questions within it. Part II lays out Kant’s understanding of the quid facti as concerning the question of the empirical origin of a judgment. Part III shows how Maimon’s skeptical use of the quid facti question was made possible by his focus on a different aspect of the legal question: the question of whether a judgment has been made. Finally, using these results, Part IV argues, against the usual interpretation, that Maimon’s skeptical use of the quaestio facti can stand alone, separate from the quaestio juris. (shrink)

Logical empiricists claimed that following modern mathematical logic and math-ematical physics, they resolutely abandoned the Kantian synthetic a priori. Recently, this claim was challenged by Michael Friedman and Alan Richardson who have argued that Kant’s scientific legacy in the twentieth century philosophy was much more complex and subtle. Even before them, Quine insisted that the logical empiricists still followed Kant, above all, in preserving the sharp distinction between the underlying a priori framework of logic, on the one hand, and the (...) empirical laws formulated within this framework, on the other hand. In this paper we are going to demonstrate, with the example of Hans Reichenbach, that this was only the tip of the iceberg of latent Kant-ianism in the works of the logical empiricists. Indeed, despite his anti-Kantian rhetoric, Reichenbach failed to purify his philosophy from the ghost of Kant at least in three respects: (i) He never became what he claimed to be: a “radical empiricist”. In fact, he often relied on a priori principles, or “definitions”. (ii) Reichenbach continued to think in Kantian terms. In particular, he took over from Kant the strong distinction between analytic and synthetic knowledge, and between propositions of ethics and propositions of logic. (iii) A third point that Reichenbach took over from Kant was the practice of criticism: he transformed it in critical investigation of our knowledge, in particular, of science. (cf. Reichenbach 1938: 7) In this paper we shall concentrate on (i) and shall not discuss (ii) and (iii). In other words, we shall criticize Reichenbach’s claim that he was a radical empiricist. Furthermore, we shall see that Reichenbach employed two conceptions of empiricism, both embedded in Kant’s theoretical heritage. (shrink)

Kant’s theoretical philosophy includes various claims that seem to be incompatible with later advancements in science. The project for this chapter is to (a) cash out the main challenges to Kant’s account of space and geometry based on developments in logic, mathematics, and physics up to about 1920 in the form of several concrete objections; (b) assess the strength of these objections; and (c), where needed, canvass some strategies for how to mitigate the damage and defend a form of Kantianism (...) that is compatible with the relevant scientific developments. It turns out that Kant’s account of space and geometry emerges surprisingly unscathed. (shrink)

A collection of essays investigating key historical and scientific questions relating to the concept of natural purpose in Kant's philosophy of biology.

Nomic essentialism is the surprising view that properties of particulars are importantly dependent on laws. In this paper, I consider what I call a moderate nomic essentialist reading of Kant, on which the thesis of dependence on law is restricted to properties of empirical objects. I argue that this reading is more plausible than it might seem, and can be textually motivated by the relational character of empirical objects, the role of laws in determinism, and Kant’s laws-first account of what (...) it is to be a material particular. I also compare this reading with more familiar contemporary arguments for nomic essentialism. Finally, I consider two problems for nomic essentialism—the problem of circularity and the problem of nomic governance—and outline some possible responses on Kant’s behalf. (shrink)

This book highlights Kant's fundamental contrast between the mechanistic and dynamical conceptions of matter, which is central to his views about the foundations of physics, and is best understood in terms of the contrast between objects of sensibility and things in themselves.

In the Metaphysical Foundations of Natural Science, Kant attempts to argue a priori from the indefinite divisibility of space to the indefinite metaphysical divisibility of matter. This is one type of argument from the continuity of space – purportedly established by Euclidean geometry – to the continuity of matter. I compare Kant’s argument to parallel reasoning in Du Châtelet, whose work he knew. Both philosophers appeal to idealism about matter in their reasoning, yet also face difficulties in explaining why continuity, (...) though not some other properties from geometry, applies to matter. Both also risk inconsistency in adopting potentialist accounts of material parts, while also committing to realism about infinitesimals. An important difference between them is that Du Châtelet deploys at least three definitions of continuity; only one of these, amounting to indefinite divisibility, is shared with Kant. (shrink)

This paper aims to evaluate the relevance of Kant’s much discussed essentialism and mechanism for present-day philosophy of psychiatry. Kendler et al (2011) have argued that essentialism is inadequate for conceptualizing psychiatric disorders. In this paper, I develop this argument in detail by highlighting a variety of essentialism that differs from the one rejected by Kendler et al. I show that Kant’s essentialism is not directly affected by the argument of Kendler et al (2011), and that Kendler et al’s (2011) (...) argument also does not affect other essentialist positions in psychiatry. Hence, the rejection of essentialism in psychiatry needs more arguments than the one supplied by Kendler et al. Nevertheless, the study of current psychiatry also provides reasons to reject Kant’s essentialism and his transcendental project. I argue that Kant’s theory of mechanical explanation is more relevant for analyzing present-day philosophy of psychiatry, insofar as (a) modern psychiatric research into the causes of psychiatric disorders fits the mechanist paradigm, (b) Kant’s theory of mechanical explanation is importantly similar to modern theories of mechanical explanation applicable to psychiatry, such as those of Bechtel and associates, and (c) Kant’s stance that mechanism constitutes a regulative ideal points to useful arguments for the pursuit of mechanical explanations in psychiatry. (shrink)

This paper offers a nuanced interpretation of Kant’s conception of the a priori, particularly in the context of constitutive principles. Contrary to the received view that separates necessity/universality from constitutivity—a distinction Kant allegedly failed to make—I propose a dual interpretation of the a priori that reconciles these aspects. This interpretation differentiates between a priori as ground (a priori-g) and as knowledge (a priori-k). The a priori-g, rooted in our mind’s invariant structure, encompasses pure intuitions, concepts, and apperception, underpinning all knowledge (...) and embodying constitutivity. Conversely, the a priori-k, deriving its necessity and universality from the a priori-g, is explained by the immutable subjective constitution. This paper argues that Kant implicitly prefigured Reichenbach’s distinction between necessity/universality and constitutivity, viewing their interconnectedness as justifying an extension of the former “marks” to all apriority. My analysis focused less on the synthetic a priori or the synthetic method and more on the constitutive, transcendental dimension of apriority, revealing Kant’s reasoning within the systematic context of the first Critique. It makes explicit Kant’s multiple notions of experience and a priori and his interconnected reasons for them—something that tends to be passed over in contemporary literature on constitutive a priori principles. (shrink)

The General Remark to the Dynamics (hereafter, “the Remark”), appended to the second chapter of Kant’s MAN (4:523–35), is a perplexing tract. Therein, Kant offers a quadripartite characterization of the “specific variety of matter” – that is, those properties that vary among bodies, such as density, cohesion, aggregative state, friction, elasticity, and chemical affinity – that is bookended by reflections on his preference for a force-based methodology for explaining natural phenomena, which he dubs the “metaphysical-dynamical mode of explanation” (4:525). These (...) considerations, particularly the discussion of the specific variety of matter, appear prima facie divorced from priorities of MAN. In this chapter, I clarify the relationship between rational and empirical physics to which Kant aspired in MAN and argue for the following theses. First, rational physics grounds empirical physics insofar as the forces or phenomena of empirical physics are derived from the fundamental forces of rational physics (attraction and repulsion). Second, the relation of derivation between these forces is a real relation; that is, the derivative forces are not simply logically defined in terms of the fundamental forces, but rather emerge from a complex interplay between the fundamental forces. Finally, I contend that additional posits—different sorts of matter as well as an omnipresent dynamical aether—are necessary to derive empirical, physical phenomena from the interactions of fundamental forces. (shrink)

This is a book about philosophy, physics, and mechanics in the 18th century, and the struggle for a theory of bodies. Bodies are everywhere, or so it seems: from pebbles to planets, tigers to tables, pine trees to people; animate and inanimate, natural and artificial, they populate the world, acting and interacting with one another. And they are the subject- matter of Newton's laws of motion. At the beginning of the 18th century, physics was that branch of philosophy tasked with (...) the study of body in general. With such an account in hand, the special areas of philosophy (whether natural, moral, or political) that presuppose special kinds of bodies (such as plants, animals, and human beings) could proceed assured of the viability of their objects and the unity of their shared enquiries. For all had "bodies" in common. So: What is a body? And how can we know? This is the Problem of Bodies, and the quest for a solution animated natural philosophy throughout the Age of Reason. (shrink)

Throughout Immanuel Kant’s works on natural philosophy, he utilizes an omnipresent aether to explain a wide variety of physical events: including optical, thermodynamical, chemical, and magnetic phenomena. Kant even went as far as claiming that the existence of an omnipresent physical aether can be deduced a priori (without appeal to experience, observation, or experiment), in the notorious “aether proof” of his _Opus postumum_. In retrospect, these commitments are widely seen as a blunder, especially after the demise of the luminiferous aether (...) at the turn of the 20th century. In this paper, I situate Kant’s theory of the aether in the context of the physics of his day. I show that, contra the common understanding of the Scientific Revolution, the 17th and 18th centuries witnessed a staggering proliferation of aethereal explanations in natural philosophy: those appealing to subtle substances as causal grounds for classes of physical phenomena. Kant was a part of this tradition in physics, and his aether theory was no embarrassment but rather revealed a keen understanding both of coeval aethereal theories and their shortcomings. (shrink)

This book provides the first comprehensive discussion regarding the role that Kant ascribes to systematicity in the sciences. It considers not only what Kant has to say on systematicity in general, but also how the systematicity requirement for science is specified in different fields of knowledge. The chapters are divided into three thematic sections. Part 1 is devoted to historical context. The chapters explore precursors of Kant's account of the systematicity of the sciences. Part 2 addresses the application of systematicity (...) to the special sciences-cosmology, physics, chemistry, logic, mathematics, the life sciences and history. Finally, Part 3 explores the systematicity of philosophy. Kant and the Systematicity of the Sciences will be of interest to scholars and advanced students working on Kant and the history and philosophy of science. (shrink)

In 1786 Georg Forster published a widely read critique of Immanuel Kant’s theory of race. Since then, the dispute between Forster and Kant on the unity of mankind has been widely discussed in light of both Forster’s essay and Kant’s decision to write a lengthy response to Forster in 1788. In this discussion I widen the frame for considering the two positions by focusing on Kant’s lectures on Physical Geography. In these notes Kant emerges as an ethnographer asking many of (...) the same questions posed by Forster himself, a man who had become famous since his time spent onboard James Cook’s second voyage to the South Pacific (1772-1775). Placing Kant’s ethnography in closer conversation with Forster reveals the many similarities (and some well-known differences) between the two. By including some of Forster’s other writings from the 1780s in an assessment of their debate, a much fuller picture can be had regarding natural historical investigations into the unity and difference of mankind at the time. (shrink)

I address a longstanding problem in Kant scholarship: how is Kant’s use of the term ‘mechanism’ to be understood? It seems that Kant uses that term in a variety of ways, from a narrow sense (“motion communicated between matter”) to a very wide sense (“any causation that is not noumenal”). I argue that Kant has a unified conception of mechanism, where the wider senses are to be understood in light of a conception of nature according to which all of nature (...) is purely mechanistic in the narrow sense. In contrast to his mechanistic predecessors, Kant holds that this conception of nature is an idea, an imaginary end-point of science that we need for orientation but can only approach asymptotically. (shrink)

In this paper I discuss in what sense physics, chemistry, and the life sciences constitute a systematic unity according to Kant. I start by discussing Christian Wolff’s views on the hierarchy of sciences. I then argue that in one specific sense physics, chemistry and several life sciences constitute a unity: physics and chemistry provide statements that can be used to provide proofs in the life sciences. However, the unity of physics, chemistry, and the life sciences is limited in scope, since (...) Kant claims that the purposeful unity of organisms is mechanically inexplicable. I finally discuss whether there are laws within the life sciences according to Kant. I argue that the fact that Kant acknowledged that physics and chemistry ground the life sciences does not imply that there are laws of life. The reason is that life sciences of Kant’s time were concerned with explaining the purposeful unity of organisms, which is mechanically inexplicable according to Kant, and the regularities discussed by life scientists in Kant’s time lack a priori grounding. (shrink)

The aim of this collection is to create a curated set of key German source texts from the eighteenth-century life sciences devoted to theories of generation, heredity, and race. The criteria for inclusion stem from our sense that there is an argument to be made for connecting three domains of inquiry that have heretofore remained mostly distinct in both their presentation and scholarly analysis: i) life science debates regarding generation and embryogenesis, ii) emerging philosophical and anthropological theories regarding the nature (...) of racial typology, and iii) the role of empire in supplying the ethnographic materials in use as evidence for the various investigations and theories being proposed. The Key Texts volume thus has three sections. The first section is devoted to selections from theorists working to create an account of the processes guiding generation and embryogenetic development. Given that at the time there were few ways to definitively prove that babies received contributions from both parents in their creation, mixed-race children became increasingly valuable sources of evidence for those insisting on joint inheritance. Although this sets up the second section of the volume—since one can trace a clear facet of racial biometric science out of this original set of enquiries—the bulk of section two is devoted to the many different accounts created at the time to understand and delineate racial differences. The third section is focused on ‘race and empire’ in order to situate the scientific texts of the previous sections in their socio-historical context. By including these pieces, it is our aim to remind readers that scientific curiosity over the nature and origin of racial diversity did not develop in a vacuum but indeed existed in full knowledge of the exploitation and dispossession of human beings. The ‘materials’ for this research program were in many cases either directly taken from black and brown human beings caught up in Europe’s colonial projects or were provided by the data gathered during large-scale voyages of exploration. The material basis of this type of research was rarely reflected upon by any of the theorists in sections one and two of the volume, a fact that has led many historians of science to focus on these theories without attention to the socio-historical context; we are deliberately trying to avoid this and indeed to deepen our own readers’ appreciation of the fact. (shrink)

Cohen’s “Logic of Pure Knowledge” marks a transformation of transcendental philosophy through its new and radical interpretation of pure thinking. For Cohen, thought is in its essence creative and needs no external elements in order to produce knowledge. This study is an attempt to reconstruct the way in which Cohen understands how thinking can create its pure content from nothing. My thesis is that Kant’s distinction between the determinable and the determining I offers the theoretical context in which the productivity (...) of thinking in Cohen’s system can be understood. Thinking creates its pure content by questioning the nothing that stands before it. (shrink)

Despite recent essentialist approaches to Kant’s laws of nature, it is unclear whether Kant’s critical philosophy is compatible with core tenets of essentialism. In this paper, I first reconstruct Kant’s position by identifying the key metaphysical and epistemological features of his notion of ‘nature’ or ‘essence’. Two theses about natures can be found in the literature, namely that they are noumenal in character (_noumenal thesis_) and that they guide scientific investigation as regulative ideas of reason (_regulative thesis_). I argue that (...) Kant’s notion of nature does not entail the noumenal thesis and, based on his model of causal explanation, I propose a novel, _phenomenal thesis_, that allows for a better understanding of the function of natures as regulative ideas. In the last part of the paper, I show that Kant’s ‘essentialism’ is a genuine form of essentialism committed to _de re_ modality, although it differs in several respects from major contemporary essentialist accounts. I conclude by suggesting that Kant’s essentialism (if appropriately updated) can be relevant to the contemporary debate, which has so far been dominated by Humean and Aristotelian proposals. (shrink)