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 5:305) ‘The expression "beautiful cognition" is not fitting at all’ (LL 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)

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.

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)

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)

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)

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)

Thomas Kuhn explicitly states that the paradigm shift implies a change of the world. This is because the paradigm is seen as constitutive of nature itself. In this paper, I will try to interpret this thesis by inscribing Kuhn's theory in the larger Kantian theoretical framework. As the last chapter of the „Critique of pure reason” shows, Kant thought that reason is inherently historical and evolves through revolutions. This dynamical perspective on reason comes clearly to light especially in the „Appendix” (...) to the „transcendental Dialectic”, where the Idea of reason is seen as an abstract theoretical framework that makes possible and guides the understanding. It will be shown that the Kuhnian paradigm and the Kantian transcendental Ideea function in similar ways. Both serve as an orientation for scientific research, they make rules possible, and constitute nature in a weak, indirect, way. The relation between Ideea and understanding in the first „Critique” parallels in many ways the kuhnian relation between paradigm and normal science. (shrink)

For Kant, inquiry into nature properly requires seeking to explain all material wholes merely mechanically, in terms of their parts. There is no consensus on how he justifies this Principle of Mechanism. I argue that Kant seeks to derive this claim about part and wholes neither from his laws or mechanics, nor from the mere discursivity of our understanding (two standard options in the literature), but instead from a priori principles laid out in the first Critique, which govern parts, wholes, (...) and magnitudes. These principles are also fundamental to Kant’s account of mathematics. Therefore, Kant’s Principle of Mechanism and his philosophy of mathematics have common foundations. (shrink)

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 topic of this dissertation is the concept of nature and how Kant and Hegel each conceive of it. Both agree that <nature> cannot be an empirical concept but is rather presupposed in all experience and object-related thinking. Yet, Kant holds that we can only conceive of nature as a unified whole when we conceive of it as a mechanical system. Whereas, according to Hegel, the unity of all the different kinds of natural phenomena can only be accounted for by (...) means of his dialectical method. A crucial and novel point in my reading of Kant is that the concept of nature as a mechanical system is merely a regulative ideal, i.e., an imaginary end-point of science that we only approach asymptotically. It is this point that allows me to resolve long-standing puzzles in the scholarship regarding organisms and free will. For this point allows for a coherent reading of Kant, a reading that involves that 1) we do in fact have experience of organisms as purposive and that 2) Kant’s distinctive kind of determinism is compatible with an open future. My reading of Kant furthermore provides a uniquely suited entry-point into Hegel’s dialectical account of nature, according to which not only human beings and organisms, but even solar systems do not fit the mould of a flat-footed mechanical determinism. This allows me to show that Hegel is—in several respects—both an inheritor and radicalizer of Kant. (shrink)

A commentary on §§ 64-68 of Kant's "Critique of the Power of Judgment". Nach einer allgemeinen Definition von zweckmäßigen Gegenständen und deren Binnendifferenzierung in künstliche und natürliche Zwecke, setzt Kant in § 64 mit einer vorläufigen Definition des eigentlichen Untersuchungsgegenstandes ein. Dinge sind genau dann Naturzwecke, wenn sie von sich selbst Ursache und Wirkung sind. Kant veranschaulicht diese Definition am Beispiel eines organischen Gegenstandes: an einem Baum. In § 65 soll die vorläufige Definition von Naturzwecken präzisiert und von einem bestimmten (...) Begriff abgeleitet werden. Kant führt die Selbstverursachung von Organismen zunächst auf eine Bildungskraft im Inneren der Dinge zurück. Da diese Kraft aber nicht erfahrbar ist, und da sich der Mensch natürliche Organismen dennoch nur durch die Wirksamkeit einer solchen Kraft erklären kann, wird sie als ein a priori regulatives Prinzip der menschlichen Urteilskraft gedeutet, das keinen gegenstandskonstitutiven, sondern einen bloß forschungsheuristisch–regulativen Charakter hat. In den §§ 66 und 67 versucht Kant zu zeigen, daß der Mensch die Idee der Teleologie der Natur als apriorisch–regulatives Prinzip bei der Beurteilung einzelner natürlicher Organismen (§ 66) und der Natur als System der Zwecke im ganzen verwendet (§ 67). In § 68 wertet Kant die Ergebnisse der "Analytik“ wissenschaftstheoretisch aus. Da die Teleologie der Natur auf einem unabhängigen, immanenten Prinzip beruht, ist sie eine eigenständige systematische Wissenschaft, die vor allem von der Theologie, aber auch von der mathematischen Naturwissenschaft verschieden ist. (shrink)

This chapter looks at Schopenhauer’s philosophy of science. In particular, it examines Schopenhauer’s conception of scientific explanation and his argument that this mode of explanation is essentially incapable of yielding understanding of the world. In so doing, the chapter considers relations between Schopenhauer’s views and modern debates over mechanism that occupied such figures as Leibniz, Newton, and Kant. It also considers Schopenhauer’s conception of explanation in light of modern rationalist theories of understanding. The chapter concludes by examining and assessing Schopenhauer’s (...) view of the relation between the sciences and his metaphysics of will. (shrink)

Kant scholars have paid relatively little attention to his raciology. They assume that his racism, as personal prejudice, can be disentangled from his core philosophy. They also assume that racism contradicts his moral theory. In this book, philosopher Huaping Lu-Adler challenges both assumptions. She shows how Kant's raciology--divided into racialism and racism--is integral to his philosophical system. She also rejects the individualistic approach to Kant and racism. Instead, she uses the notion of racism as ideological formation to demonstrate how Kant, (...) from his social location both as a prominent scholar and as a lifelong educator, participated in the formation of modern racist ideology. As a scholar, Kant developed a ground-breaking scientific theory of race from the standpoint of a philosophical investigator of nature or Naturforscher. As an educator, he transmitted denigrating depictions of the racialized others and imbued those descriptions with normative relevance. In both roles, he left behind, as one of his legacies, a worldview that excluded non-whites from such goods as recognitional respect and candidacy for cultural and moral achievements. Scholars who research and teach Kant's philosophy therefore have an unshakable burden to take part in the ongoing antiracist struggles, through their teaching practices as well as their scholarship. And they must do so with a pragmatic attention to nonideal social realities and a deliberate orientation toward substantial racial justice, equality, and inclusion. Lu-Adler pushes the discourse about Kant and racism well beyond the old debates about whether he was racist or whether his racism contaminates his philosophy. By foregrounding the lasting legacies of Kant's raciology, her work calls for a profound reorientation of Kant scholarship. (shrink)

We received several critical comments regarding the "The Science of Spiritual Biology." We reply to those criticisms in order to further clarify some of the important points that were made. It is only to be expected that a strong emotional response may be evoked by the revolution in scientific thinking that the modern paradigm of cognitive biology presents. We have to be prepared to accept that, and maintain the integrity of the scientific approach.