Kant: Science, Logic, and Mathematics

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)

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.

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)

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)

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)

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)

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)

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)

Cover Philosophical Mechanics in the Age of Reason Katherine Brading and Marius Stan Description From pebbles to planets, tigers to tables, pine trees to people; animate and inanimate, natural and artificial; bodies are everywhere. Bodies populate the world, acting and interacting with one another, and they are the subject-matter of Newton's laws of motion. But what is a body? And how can we know how they behave? In Philosophical Mechanics in the Age of Reason, Katherine Brading and Marius Stan examine (...) the struggle for a theory of bodies. -/- At the beginning of the 18th century, physics was the branch of philosophy that studied bodies in general. Its primary task was to provide a qualitative account of the nature of bodies, including their essential properties, causal powers, and generic behaviors. Pursued by a variety of figures both canonical (from Leibniz to Kant) and less familiar (from Du Châtelet and Euler to d'Alembert and Lagrange), this proved a difficult task. At stake were the appropriate epistemologies and methods for theorizing about the natural world. Solutions demanded the combined resources of philosophy, physics, and mechanics: what Brading and Stan call a “philosophical mechanics.” -/- Brading and Stan analyze a century of widespread, concerted efforts to solve “the problem of bodies,” they examine the consequences of the many failures, both for the problem itself and for philosophy more generally. They reveal relationships among disparate themes of 18th century physics and philosophy, from the nature of matter to the motion of a vibrating string; causation to the principle of least action; and the role of subtle matter in collision theory to analytic mechanics. All of these, Brading and Stan argue, are related to the eventual emergence of physics as an independent discipline, autonomous from philosophy, more than a century after Newton's Principia. This book provides a new framing of natural philosophy and its transformations in the Enlightenment; and it proposes an account of how physics and philosophy evolved into distinct fields of inquiry. (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.

A testimony is somebody else’s reported experience of what has happened. It is an indispensable source of knowledge. It only gives us historical cognition, however, which stands in a complex relation to rational or philosophical cognition: while the latter presupposes historical cognition as its matter, one needs the architectonic “eye of a philosopher” to select, interpret, and organize historical cognition. Kant develops this rationalist theory of testimony. He also practices it in his own work, especially while theorizing about race as (...) a subject of natural philosophy. In three dedicated essays on this subject, he treats race from the standpoint of a philosophical investigator of nature (Naturforscher), who (as Kant puts it in the first Critique) learns from nature “like an appointed judge who compels witnesses to answer the questions he puts to them.” This view underwrites Kant’s use of travel reports (a type of testimony) in developing and defending his theory of race. (shrink)

This article explains Kant’s claim that sciences must take, at least as their ideal, the form of a ‘system’. I argue that Kant’s notion of systematicity can be understood against the background of de Jong & Betti’s Classical Model of Science (2010) and the writings of Georg Friedrich Meier and Johann Heinrich Lambert. According to my interpretation, Meier, Lambert, and Kant accepted an axiomatic idea of science, articulated by the Classical Model, which elucidates their conceptions of systematicity. I show that (...) Kant’s critique of the mathematical method is compatible with his adherence to this axiomatic conception of science. I further show that systematicity furthers traditionally accepted logical ideals of scientific knowledge, which explains why Meier and Kant think that sciences must be ‘systematic’. (shrink)

It is widely held that, in his pre-Critical works, Kant endorsed a necessitation account of laws of nature, where laws are grounded in essences or causal powers. Against this, I argue that the early Kant endorsed the priority of laws in explaining and unifying the natural world, as well as their irreducible role in in grounding natural necessity. Laws are a key constituent of Kant’s explanatory naturalism, rather than undermining it. By laying out neglected distinctions Kant draws among types of (...) natural law, grounding relations, and ontological levels, I show that his early works present a coherent and sophisticated laws-first account of the natural order. (shrink)

Ecology arguably has roots in eighteenth-century natural histories, such as Linnaeus's economy of nature, which pressed a case for holistic and final-causal explanations of organisms in terms of what we'd now call their environment. After sketching Kant's arguments for the indispensability of final-causal explanation merely in the case of individual organisms, and considering the Linnaean alternative, this paper examines Kant's critical response to Linnaean ideas. I argue that Kant does not explicitly reject Linnaeus's holism. But he maintains that the indispensability (...) of final-causal explanation depends on robust modal connections between types of organism and their functional parts; relationships in Linnaeus's economy of nature, by contrast, are relatively contingent. Kant's framework avoids strong metaphysical assumptions, is responsive to empirical evidence, and can be fruitfully compared with some contemporary approaches to biological organization. (shrink)

I argue that Kant has developed a broad systematic account of the architectonic functionality of pure reason that can be used and advanced in contemporary contexts. Reason, in the narrow sense, is responsible for the picture of a well-ordered universe of science consisting of architectonic ideas of science, sciences and parts of sciences. In the first section (I), I show what Kant means by the architectonic ideas by explaining and interrelating the concepts of (a) the faculty of reason, (b) ideas (...) (as principles), (c) method, and (d) sciences of reason. Thereafter (II), I think through his holistic understanding of science and scientific progress and suggest differentiating between four levels of use of architectonic ideas, drawing on the metaphor of a well-structured universe as imagined by Kant in his work on the Universal Natural History and Theory of the Heavens. I also claim that each possible idea of reason can be (apart from its primary function) additionally regarded as a fourth-level architectonic concept when explicitly conceived as an object of (e. g. philosophical) studies, i. e. from a mere methodological perspective. In the final section (III), I unveil the potential of Kant’s theory by pointing out how this architectonic methodological function of pure reason is tacitly used in Karl-Otto Apel’s contemporary philosophical research programme. You can get the official version of the paper and the whole issue (open access) by clicking on the attached link. (shrink)

Leibniz, and many following him, saw the Principle of Sufficient Reason (PSR) as pivotal to a scientific (demonstrated) metaphysics. Against this backdrop, Kant is expected to pay close attention to PSR in his reflections on the possibility of metaphysics, which is his chief concern in the Critique of Pure Reason. It is far from clear, however, what has become of PSR in the Critique. On one reading, Kant has simply turned it into the causal principle of the Second Analogy. On (...) a different reading, PSR is but the supreme principle of reason, which roughly states that, if the conditioned is given, so is the unconditioned. On my reading, PSR appears in the guises of both the causal principle and the supreme principle. This twofold specification, I argue, is key to understanding (i) Kant’s allegations that past metaphysicians failed to prove PSR, (ii) his own Critical account of the possibility of metaphysics in both of its parts (ontology and metaphysics proper), and (iii) his nuanced answer to the contentious question about the relation between physical inquiry and metaphysical reasoning about nature (both being quests for reasons). (shrink)

The present investigation brings into view the philosophy of nature of German Idealism, a philosophical movement which emerged around the beginning of the nineteenth century. German Idealism appro- priated certain motivations of the Kantian philosophy and developed them further in a "speculative" manner (Engelhardt 1972, 1976, 2002). This powerful philosophical movement, associated above all with the names of Fichte, Schelling and Hegel - and moreover having nothing whatsoever to do with the "subjective idealism" of George Berkeley - was replaced by (...) philosophical positions designated roughly as metaphysics of the will, Marxism, life-philosophy, phenomenology and existentialism, as well as positivism, empiricism, philosophy of science, the linguistic turn, and analytic philosophy. These philosophical positions more or less still shape us today. German Idealism amounts to a virtual intellectual-historical antithesis to these movements and thus presents itself in retrospect as a striking alternative. The basis of Idealism - in its various respective forms - is the ideal <Ideelle>, and thus the opposite of that which is real. It continually takes as its task explaining the real in terms of the ideal, and this is especially true of the Idealists' philosophy of nature.' Is this a hopeless undertaking? Does Idealism not lack an empirical basis? Can one secure any solid ground whatsoever in the ether of the ideal? In what follows, I explain how, more than anyone else, Schelling and Hegel sought to handle this problem and to cope with it. By way of anticipation, a clear preference for the Hegelian philosophy of nature will emerge in what follows, a preference which may come as some surprise considering how much controversy has surrounded the significance of that view. The project of renewing a thoroughgoing philosophy of nature can meaningfully begin here. (shrink)

In Kant's Critique of Judgment, his exploration of how something like life (organized matter) can appear to the faculties of a finite consciousness makes life as possible as it is impossible. A passing reference Kant makes to the idea that every organ of an organism can be seen as a parasite is taken as a lever to deconstruct his notion of organized beings as forming an ultimately coherent nature (an ethicoteleological whole). This reading is placed alongside Paul de Man's deconstruction (...) of the sublime as Augenschein and Darstellung von Ideen to show that the unity of the third critique, sometimes viewed as a fractured work, comes from the similar failures of sublimity and purposive organization. This reading is offered to suggest the importance of biodeconstruction for an engagement with the history and present of thought about the natural sciences. (shrink)

In contrast to the previously widespread view that Kant's work was largely in dialogue with the physical sciences, recent scholarship has highlighted Kant's interest in and contributions to the life sciences. Scholars are now investigating the extent to which Kant appealed to and incorporated insights from the life sciences and considering the ways he may have contributed to a new conception of living beings. The scholarship remains, however, divided in its interest: historians of science are concerned with the content of (...) Kant's claims, and the ways in which they may or may not have contributed to the emerging science of life, while historians of philosophy focus on the systematic justifications for Kant's claims, e.g., the methodological and theoretical underpinnings of Kant's statement that living beings are mechanically inexplicable. My aim in this paper is to bring together these two strands of scholarship into dialogue by showing how Kant's methodological concerns (specifically, his notion of reflective judgment) contributed to the ontological concern with life as a distinctive object of study. I argue that although Kant's explicit statement was that biology could not be a science, his implicit and more fundamental claim was that the study of living beings necessitates a distinctive mode of thought, a mode that is essentially analogical. I consider the implications of this view, and argue that it is by developing a new methodology for grasping organized beings that Kant makes his most important contribution to the new science of life. (shrink)

Ernst Mayr argued that the emergence of biology as a special science in the early nineteenth century was possible due to the demise of the mathematical model of science and its insistence on demonstrative knowledge. More recently, John Zammito has claimed that the rise of biology as a special science was due to a distinctive experimental, anti-metaphysical, anti-mathematical, and anti-rationalist strand of thought coming from outside of Germany. In this paper we argue that this narrative neglects the important role played (...) by the mathematical and axiomatic model of science in the emergence of biology as a special science. We show that several major actors involved in the emergence of biology as a science in Germany were working with an axiomatic conception of science that goes back at least to Aristotle and was popular in mid-eighteenth-century German academic circles due to its endorsement by Christian Wolff. More specifically, we show that at least two major contributors to the emergence of biology in Germany—Caspar Friedrich Wolff and Gottfried Reinhold Treviranus—sought to provide a conception of the new science of life that satisfies the criteria of a traditional axiomatic ideal of science. Both C.F. Wolff and Treviranus took over strong commitments to the axiomatic model of science from major philosophers of their time, Christian Wolff and Friedrich Wilhelm Joseph Schelling, respectively. The ideal of biology as an axiomatic science with specific biological fundamental concepts and principles thus played a role in the emergence of biology as a special science. (shrink)

The metaphysical “Law of Continuity of Alterations” says that whenever an object alters from one state to another, it passes through a continuum of intermediate states. Kant treated LCA as a transcendental law of understanding. The primary purpose of the paper is to reconstruct and evaluate Kant’s three arguments for LCA. All three are found to be inadequate. However, a secondary goal of the paper is to show that LCA would have more naturally been construed as a regulative principle of (...) reason. I conclude with some remarks about how this could work. (shrink)

In Kant, Science, and Human Nature, Robert Hanna argues against a version of scientific realism founded on the Kripke/Putnam theory of reference, and defends a Kant-inspired manifest realism in its place. I reject Kriple/Putnam for different reasons than Hanna does, and argue that what should replace it is not manifest realism, but Kant‘s own scientific realism, which rests on a radically different theory of reference. Kant holds that we picture manifest objects by uniting manifolds of sensation using concepts-qua-inferential-rules. When these (...) rules are demonstrated to be invalid, we replace the picture of the macroscopic world with a picture of the microscopic entities of theoretical science that unites the very same manifolds using different rules of inference. Thus, we refer to "unobservable" theoretical entities in the same way that we do manifest ones: by specifying both their determinate location in space and time and the concepts by which they are understood. (shrink)

The problem of synthetic judgements touches on the question of whether philosophy can draw independent statements about reality in the first place. For Kant, the synthetic judgements a priori formulate the conditions of the possibility for objectively valid knowledge. Despite the principle fallibility of its statements, modern science aims for objective knowledge. This gives the topic of synthetic a priori unbroken currency. This paper aims to show that a modernized version of transcendental philosophy, if it is to be feasible at (...) all, must “bid farewell” to the concept of being “free of empiricism” or the “purity” of the a priori. Approaches to this end can already been found in Kant’s reflections on non-pure synthetic knowledge. Moreover, the a priori validity of knowledge does not exclude the possibility that it can be discovered empirically. In keeping with Kant, Fries and Nelson anticipated this separation (usually first attributed to Reichenbach) between the validity and discovery context of knowledge and pointed out that the a priori could be discovered empirically, but never proven. There are currently still good reasons why transcendental philosophical concepts are of fundamental importance for modern science, although it must not be overlooked that even within the framework of a modernized transcendental philosophy, several unsolved problems remain or are raised. For example, the irredeemability of the universal validity and necessary claims of the a priori, the problem of a clear demarcation between the phenomenal and noumenal world. Moreover, the “beautiful structure” or the Kantian system, which constituted its persuasive power, is lost. (shrink)

In this essay I offer a partial rehabilitation of Cohen’s Kant interpretation. In particular, I will focus on the center of Cohen’s interpretation in KTE, reflected in the title itself: his interpretation of Kant’s concept of experience. “Kant hat einen neuen Begriff der Erfahrung entdeckt,”7 Cohen writes at the opening of the first edition of KTE (henceforth, KTE1), and while the exact nature of that new concept of experience is hard to pin down in the 1871 edition, he states it (...) succinctly in the second edition (henceforth KTE2): experience is Newtonian mathematical natural science.8 While this equation of experience with mathematical natural science has few contemporary defenders, I believe it is substantially correct, with one important qualification. Kant uses the term Erfahrung in a number of different senses in the Kritik der reinen Vernunft (henceforth, KrV). I will argue that a central, and neglected, sense of that key technical term aligns with Cohen’s reading; what Kant sometimes refers to as ‘universal experience’ (sometimes, simply ‘experience’) is, in broad outlines, correctly interpreted by Cohen as mathematical natural science. (shrink)

Kant’s views on animals have received much attention in recent years. According to some, Kant attributed the capacity for objective perceptual awareness to non-human animals, even though he denied that they have concepts. This position is difficult to square with a conceptualist reading of Kant, according to which objective perceptual awareness requires concepts. Others take Kant’s views on animals to imply that the mental life of animals is a blooming, buzzing confusion. In this article I provide a historical reconstruction of (...) Kant’s views on animals, relating them to eighteenth-century debates on animal cognition. I reconstruct the views of Buffon and Reimarus and show that (i) both Buffon and Reimarus adopted a conceptualist position, according to which concepts structure the cognitive experience of adult humans, and (ii) that both described the mental life of animals as a blooming, buzzing confusion. Kant’s position, I argue, is virtually identical to that of Reimarus. Hence Kant’s views on animals support a conceptualist reading of Kant. The article further articulates the historical antecedents of the Kantian idea that concepts structure human cognitive experience and provides a novel account of how the ideas of similarity and difference were conceptualized in eighteenth-century debates on animal cognition. (shrink)

Kant argues in the Critique of the Teleological Power of Judgment that the first stage in resolving the problem of teleology is conceiving it correctly. He explains that the conflict between mechanism and teleology, properly conceived, is an antinomy of the power of judgment in its reflective use regarding regulative maxims, and not an antinomy of the power of judgment in its determining use regarding constitutive principles. The matter in hand does not concern objective propositions regarding the possibility of objects (...) or actual features of certain objects, namely, organisms. It is rather a methodological issue as to the appropriate way to explain the generation, development, and function of organisms. Taken in this manner as subjective maxims guiding the explanation and inquiry of organisms, the principles of mechanism and teleology need not necessarily be seen as contradictorily opposed but instead can be combined in the study of organisms. This, however, is not enough to complete the analysis of the antinomy of the teleological power of judgment. In order to show that there is an antinomy in this case, Kant has to establish that both seemingly conflicting maxims are necessary and natural to the human mind. He does it by grounding them in the ‘special character’ or peculiarity (Eigentümlichkeit) of the human understanding. However, it is not entirely clear just what exactly this peculiarity of the human understanding is. Paul Guyer argues that Kant suggests two different accounts of the peculiarity of the human intellect. According to one account, this peculiarity consists in the fact that our understanding forms general concepts and according to another, in its propensity to proceed from the parts to the whole. I will argue in this paper that Kant puts forward a single account, in which the combination of these two features demonstrate the peculiarity of the human understanding manifested in the encounter with organisms. This account explains the necessity of the regulative maxims of mechanism and teleology, and thus completes Kant’s analysis of the antinomy of the teleological power of judgment. (shrink)

In the present paper I investigate the role that analogy plays in eighteenth-century biology and in Kant’s philosophy of biology. I will argue that according to Kant, biology, as it was practiced in the eighteenth century, is fundamentally based on analogical reflection. However, precisely because biology is based on analogical reflection, biology cannot be a proper science. I provide two arguments for this interpretation. First, I argue that although analogical reflection is, according to Kant, necessary to comprehend the nature of (...) organisms, it is also necessarily insufficient to fully comprehend the nature of organisms. The upshot of this argument is that for Kant our understanding of organisms is necessarily limited. Second, I argue that Kant did not take biology to be a proper science because biology was based on analogical arguments. I show that Kant stemmed from a philosophical tradition that did not assign analogical arguments an important justificatory role in natural science. Analogy, according to this conception, does not provide us with apodictically certain cognition. Hence, sciences based on analogical arguments cannot constitute proper sciences. (shrink)

This article presents a critical analysis of two influential readings of Kant’s Second Analogy, namely, Gerd Buchdahl’s “modest reading” and Michael Friedman’s “strong reading.” After pointing out the textual and philosophical problems with each, I advance an alternative reading of the Second Analogy argument. On my reading, the Second Analogy argument proves the existence of necessary and strictly universal causal laws. This, however, does not guarantee that Kant has a solution for the problem of induction. After I explain why the (...) empirical lawfulness of nature does not guarantee the empirical uniformity of nature, I examine the modal status of empirical laws in Kant and argue contra Buchdahl and Friedman that empirical laws express two different kinds of necessity that are not reducible to each other. -/- . (shrink)

This paper examines Du Châtelet’s and Kant’s responses to the famous vis viva controversy – Du Châtelet in her Institutions Physiques (1742) and Kant in his debut, the Thoughts on the True Estimation of Living Forces (1746–49). The Institutions was not only a highly influential contribution to the vis viva controversy, but also a pioneering attempt to integrate Leibnizian metaphysics and Newtonian physics. The young Kant’s evident knowledge of this work has led some to speculate about his indebtedness to her (...) philosophy. My study corrects such speculations as well as misunderstandings of the Living Forces. This corrective result has implications for how to investigate Kant’s relation to the ever-evolving landscape of Leibniz exegeses. (shrink)

Review of Michael Friedman, Kant’s Construction of Nature: A Reading of the Metaphysical Foundations of Natural Science. Cambridge: Cambridge University Press (2015), 646 pp., $37.99 (paper).

It is well known that Kant claims that causal judgments, including judgments about forces, must have an a priori basis. It is less well known that Kant claims that we can perceive the repulsive force of bodies through the sense of touch. Together, these claims present an interpretive puzzle, since they appear to commit Kant to both affirming and denying that we can have perceptions of force. My first aim is to show that both sides of the puzzle have deep (...) roots in Kant's philosophy. My second aim is to present three potential solutions to the puzzle and show that each faces problems. (shrink)

Kant’s theory of biology in the Critique of the Power of Judgment may be rejected as obsolete and attacked from two opposite perspectives. In light of recent advances in biology one can claim contra Kant, on the one hand, that biological phenomena, which Kant held could only be explicated with the help of teleological principles, can in fact be explained in an entirely mechanical manner, or on the other, that despite the irreducibility of biology to physico-mechanical explanations, it is nonetheless (...) proper science. I argue in response that Kant’s analysis of organisms is by no means obsolete. It reveals biology’s uniqueness in much the same way as several current theorists do. It brings to the fore the unique purposive characteristics of living phenomena, which are encapsulated in Kant’s concept of “natural end” and which must be explicated in natural terms in order for biology to become a science. I maintain that Kant’s reluctance to consider biology proper science is not a consequence of his critical philosophy but rather of his inability to complete this task. Kant lacked an appropriate theoretical framework, such as provided later by modern biology, which would enable the integration of the unique features of biology in an empirical system. Nevertheless, as I show in this paper, the conceptual problems with which Kant struggled attest more to the relevance and depth of his insights than to the shortcomings of his view. His contribution to the biological thought consists in insisting on an empirical approach to biology and in providing the essential philosophical underpinning of the autonomous status of biology. (shrink)