While interest in Kant's philosophy has increased in recent years, very little of it has focused on his theory of science. This book gives a general account of that theory, of its motives and implications, and of the way it brought forth a new conception of the nature of philosophical thought. To reconstruct Kant's theory of science, the author identifies unifying themes of his philosophy of mathematics and philosophy of physics, both undergirded by his distinctive (...) logical doctrines, and shows how they come together to form a relatively consistent system of ideas. A new analysis of the structure of central arguments in the Critique of Pure Reason and the Prolegomena draws on recent developments in logic and the philosophy of science. Professor Brittan's unified account of the philosophies of mathematics and physics explores the nature of Kant's commitment to Euclidean geometry and Newtonian mechanics as well as providing an integrated reading of the Critique of Pure Reason and the Metaphysical Foundations of Natural Science. Contemporary ideas help both to illuminate Kant's position and to show how that position, in turn, illuminates contemporary problems in the philosophy of science. Originally published in 1978. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. (shrink)

The paper attempts to summarize the debate on Kant’s philosophy of geometry and to offer a restricted area of mathematical practice for which Kant’s philosophy would be a reasonable account. Geometrical theories can be characterized using Wittgenstein’s notion of pictorial form . Kant’s philosophy of geometry can be interpreted as a reconstruction of geometry based on one of these forms — the projective form . If this is correct, Kant’s philosophy is a reasonable reconstruction of such theories (...) as projective geometry; and not only as they were practiced in Kant’s time, but also as architects use them today. (shrink)

본 연구는 기하학에 대한 구조-구성주의 인식론을 정당화하는 것이다. 즉 구조주의와 구성주의를 융합하는 필자의 고유한 인식론으로 기하학적 인식의 본성을 해명하는 것이다. 그러나 현재의 연구는 이러한 큰 주제에 접근하기 위한 예비적 연구로서 칸트의 기하학적 직관 개념에 대한 역사-비판적 분석을 제공하는 데 한정된다. 잘 알려져 있는 것처럼, 칸트는 수학적 인식, 특히 기하학적 인식을 위해서 직관이 핵심적으로 중요하다고 주장했다. 그런데 칸트가 말하는 기하학적 인식을 위한 직관의 역할이 무엇인지는 여전히 논쟁적이다. 이점과 관련해서 역사적으로 대립적인 두 가지 해석이 있다. 하나는 베스(E. Beth), 힌티카(J. Hintikka), 프리드만(M. Fridman) (...) 등으로 이어지는 논리적 해석이며, 다른 하나는 파슨스(Parsons)와 칼슨(E. Carson)에 의해 제공된 현상학적 해석이다. 이에 필자는 특히 프리드만과 칼슨의 논쟁을 중심으로 두 해석의 내용을 재구성하고, 다음에 두 해석의 종합 가능성을 해명하고자 한다. 이를 위해 헬름홀츠-피아제의 인식론, 즉 “군 이론”에 근거한 새로운 구성주의 인식론을 제안할 것이다. 그러나 본고에서는 1차적 근사의 차원에서 그 개략적 구조만을 소개하는 데 만족하고, 종합의 구체적 내용인, 헬름홀츠-피아제의 공간 인식론에 근거한 구조-구성주의 공간 이론은 다른 지면에서 전개될 것이다. (shrink)

Kant's theory of arithmetic is not only a central element in his theoretical philosophy but also an important contribution to the philosophy of arithmetic as such. However, modern mathematics, especially non-Euclidean geometry, has placed much pressure on Kant's theory of mathematics. But objections against his theory of geometry do not necessarily correspond to arguments against his theory of arithmetic and algebra. The goal of this article is to show that at least some (...) important details in Kant's theory of arithmetic can be picked up, improved by reconstruction and defended under a contemporary perspective: the theory of numbers as products of rule following construction presupposing successive synthesis in time and the theory of arithmetic equations, sentences or "formulas"—as Kant says—as synthetic a priori. In order to do so, two calculi in terms of modern mathematics are introduced which formalise Kant's theory of addition as a form of synthetic operation. (shrink)

Kant’s theory of arithmetic is not only a central element in his theoretical philosophy but also an important contribution to the philosophy of arithmetic as such. However, modern mathematics, especially non-Euclidean geometry, has placed much pressure on Kant’s theory of mathematics. But objections against his theory of geometry do not necessarily correspond to arguments against his theory of arithmetic and algebra. The goal of this article is to show that at least some important details (...) in Kant’s theory of arithmetic can be picked up, improved by reconstruction and defended under a contemporary perspective: the theory of numbers as products of rule following construction presupposing successive synthesis in time and the theory of arithmetic equations, sentences or “formulas”—as Kant says—as synthetic a priori. In order to do so, two calculi in terms of modern mathematics are introduced which formalise Kant’s theory of addition as a form of synthetic operation. (shrink)

Both Kant's architectonic and the Yijing can be structured as four perspectival levels: 0 + 4 + 12 + = 64. The first, unknowable level is unrepresentable. The geometry of logic provides well‐structured maps for levels two to four. Level two consists of four basic gua , corresponding to Kant's category‐headings . Level three's twelve gua, derived logically from the initial four, correspond to Kant's twelve categories. Level four correlates the remaining 48 gua to Kant's (...) theory of the four university faculties , and to four categorially organized domains comprising his philosophical system. (shrink)

Both Kant’s architectonic and the Yijing can be structured as four perspectival levels: 0 + 4 + 12 + = 64. The first, unknowable level is unrepresentable. The geometry of logic provides well-structured maps for levels two to four. Level two consists of four basic gua, corresponding to Kant’s category-headings. Level three’s twelve gua, derived logically from the initial four, correspond to Kant’s twelve categories. Level four correlates the remaining 48 gua to Kant’s theory of the four university (...) faculties, and to four categorially organized domains comprising his philosophical system. (shrink)

In this paper, I critically discuss Frege’s philosophy of geometry with special emphasis on his position in The Foundations of Arithmetic of 1884. In Sect. 2, I argue that that what Frege calls faculty of intuition in his dissertation is probably meant to refer to a capacity of visualizing geometrical configurations structurally in a way which is essentially the same for most Western educated human beings. I further suggest that according to his Habilitationsschrift it is through spatial intuition that (...) we come to know the axioms of Euclidean geometry. In Sect. 3, I argue that Frege seems right in claiming in The Foundations, §14 that the synthetic nature of the Euclidean axioms follows from the fact that they are independent of one another and of the primitive laws of logic. If the former were dependent on the latter, they would be analytic in Frege’s sense of analyticity. But then they would not be independent of one another and due to their mutual provability would lose their status as axioms of Euclidean geometry, since according to Frege an axiom of a theory T is per definitionen unprovable in T. I further argue that only by invoking pure spatial intuition can Frege “explain” the epistemological status of the axioms of Euclidean geometry completely: their synthetic a priori nature. Finally, I argue that his view about independence in The Foundations, §14 seems to clash with his conception of independence in his mature period. In Sect. 4, I scrutinize Frege’s somewhat vague, but unduly neglected remarks in The Foundations, §26 on space, spatial intuition and the axioms of Euclidean geometry. I argue that for the sake of coherence Frege should have said unambiguously that space is objective, that it is independedent not only of our spatial intuition, but of our mental life altogether including our judgements about space, instead of encouraging the possible conjecture that in his view it contains an objective and a subjective component. I further argue that for Frege the objectivity of both space and the axioms of Euclidean geometry manifests itself in our universal and compulsory acknowledgement of the Euclidean axioms as true. I conclude Sect. 4 by arguing that there is a conflict between the subjectivity of our spatial intuitions as stressed in The Foundations, §26 and Frege’s thesis in his dissertation that the axioms of Euclidean geometry derive their validity from the nature of our faculty of intuition. To resolve this conflict, I propose that in the light of his avowed realism in The Foundations Frege could have replaced his early thesis by saying that although we come to know the axioms of Euclidean geometry through spatial intuition and are justified in acknowledging them as true on the basis of geometrical intuition, their truth is independent not only of the nature of our faculty of intuition and singular acts of intuition, but of our mental processes and activities in general, including the inner mental act of judging. In Sect. 5, I argue that Frege most likely did not adopt Kant’s method of acquiring geometrical knowledge via the ostensive construction of concepts in spatial intuition. In contrast to Kant, Frege holds that the axioms of three-dimensional Euclidean geometry express state of affairs about space obtaining independently of our spatial intuition. In Sect. 6, I conclude with a summarized assessment of Frege’s philosophy of geometry. (shrink)

While not paramount among Kant scholars, issues in the philosophy of mathematics have maintained a position of importance in writings about Kant’s philosophy, and recent years have witnessed a rejuvenation of interest and real progress in interpreting his views on the nature of mathematics. My hope here is to contribute to this recent progress by expanding upon the general tacks taken by Jaakko Hintikka concerning Kant’s writings on geometry.Let me begin by making a vile suggestion: Kant did not have (...) a philosophy of mathematics. When Kant was writing about mathematics, essentially he was reporting the views of others. The texts provide sufficient evidence to make this suggestion plausible. Generally, when Kant writes about mathematics in his mature works, he does so in order to illustrate or argue for a philosophical point. There are important references to mathematical method in the preface to the 1787 edition of Critique of Pure Reason; however, Kant’s purpose is to describe those basic features of a method that he intended to incorporate in his theory of philosophical method: ‘our new method of thought, namely, that we can know a priori of things only what we ourselves put into them.’ Indeed, Kant makes it clear in this preface that he thought there to be no extant problems to be solved in mathematical methodology; such was the state of the science, he thought. It was for this reason that Kant felt some confidence in borrowing from this method to improve the state of metaphysics; it is also for this reason that one should not expect to find Kant engaging in basic research in mathematical methodology. Similarly, the material on syntheticity added to the second edition Introduction to Critique of Pure Reason occurs in the context of a discussion of the syntheticity of metaphysical principles; that the propositions of both disciplines are synthetic a priori lends credence to the extrapolation of some features from the mathematical method for use in developing a metaphysics. Many writers find a philosophy of mathematics in the ‘Transcendental Aesthetic’; it is clear, however, that in this section his concern is to support his theory of the nature of space, time, and sensation. What is said about geometry, for example, is restricted to those of its features relevant to the subjectivity of space. The other major discussion of mathematics and its method is found in the section, ‘Doctrine of Method.’ Here we find Kant’s fullest account of the mathematical method and of constructions. It must be borne in mind, though, that his purpose is to argue against views that the proper methods of mathematics and metaphysics are identical, that the disciplines differ in subject matter alone. The result of the discussion is not a theory of mathematical method, but an account of the method proper to the philosopher.2 Kant simply is mentioning certain features of mathematical method sufficient to support the claim that the philosopher cannot incorporate it lock, stock, and barrel.’ In short, we do not find a systematic theory of mathematics or its method described by Kant in the first Critique, nor do we find discussions of mathematics other than in contexts where philosophical positions are being developed. This holds for Kant’s other works, too. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Journal of the History of Philosophy 44.4 (2006) 559-575 MuseSearchJournalsThis JournalContents[Access article in PDF]Kant's Critical Concepts of MotionKonstantin PollokThere are two significant places in Kant's Critical corpus where he discusses the concept of motion. The first is in the Critique of Pure Reason, where in the "Deduction of the Categories" Kant writes:Motion, as an act of the subject (not as a determination of an object†), and therefore (...) the synthesis of the manifold in space, first produces the concept of succession—if we abstract from this manifold and attend solely to the act through which we determine the inner sense according to its form.In this passage Kant simply refers to the concept of motion, and the immediate context in which this reference occurs reveals little about what he means by it. In the Metaphysical Foundations of Natural Science, however, motion plays a more significant role, and, concomitantly, it is in his writings on natural science that Kant most fully expresses his thoughts on the subject. For present purposes, the most relevant passage is paragraph 15 of the Preface of the Metaphysical Foundations, where Kant says that theconcept of matter had … to be carried through all four of the indicated functions of the concepts of the understanding (in four chapters), where in each a new determination of this concept was added. The basic determination of something that is [End Page 559] to be an object of the outer senses had to be motion, because only thereby can these senses be affected. The understanding traces back all other predicates of matter belonging to its nature to this, and natural science, therefore, is either a pure or applied doctrine of motion. The metaphysical foundations of natural science are therefore to be brought under four chapters. The first considers motion as a pure quantum in accordance with its composition, without any quality of the movable, and may be called phoronomy. The second takes into consideration motion as belonging to the quality of matter, under the name of an original moving force, and is therefore called dynamics. The third considers matter with this quality as in relation to another through its own inherent motion, and therefore appears under the name of mechanics. The fourth chapter, however, determines matter's motion or rest merely in relation to the mode of representation or modality, and thus as appearance of the outer senses, and is called phenomenology. 2The first passage from the first Critique (quoted above) reveals both that the concept of motion plays a central role in Kant's epistemology and that he distinguishes clearly between motion of the object, on the one hand, and action of the subject, on the other. The two concepts of motion are quite different—the former belonging to transcendental philosophy and geometry (to "pure science" in the Kantian sense), the latter to the metaphysical and empirical investigation of nature. By contrast, the second passage from the Metaphysical Foundations shows that the conceptual apparatus Kant developed in his transcendental philosophy is also relevant for understanding the empirical concept of motion. Since all empirical concepts are based on transcendental conditions for their possibility, this connection between elements of the Critical philosophy should come as no surprise. What remains unclear, however, is the sort of connection involved, and whether in the particular case of motion there might not be a more intimate relationship between the transcendental conditions and the empirical concept than one might at first suspect.Indeed, this is a possibility that has been entertained by a number of commentators. In his investigation of Kant's metaphysics of nature, Lothar Schäfer, for example, contends that "the original perspective on the unity of the sensibility in which nature reveals itself, and which belongs to the conception of nature, results in the original perspective on motion. Therefore, the laws of nature are laws of motion …." 3 Similarly, in her book on Kant's theory of natural science, Karen Gloy argues thatin the predicable 'motion' the connection of elements of the understanding with... (shrink)

The submitted study presents a philosophical assessment of the Kant's Theory of Aesthetics, which is mainly exposed in his "Critique of Judgment". In the author's view Kant's Theory represents one of the most important interpretations of the fundamental philosophical problem of aesthetic Being in the modern history of philosophy, and is, at the same time, one of the best examples of Cartesian account of the metaphysical foundations of aesthetics. Upon reflection this fact turns out to be (...) a very important one for our understanding of philosophical origins of modern aesthetics. (edited). (shrink)

It is occasionally claimed that the important work of philosophers, physicists, and mathematicians in the nineteenth and in the early twentieth centuries made Kant’s critical philosophy of geometry look somewhat unattractive. Indeed, from the wider perspective of the discovery of non-Euclidean geometries, the replacement of Newtonian physics with Einstein’s theories of relativity, and the rise of quantificational logic, Kant’s philosophy seems “quaint at best and silly at worst”.1 While there is no doubt that Kant’s transcendental project involves his own (...) conceptions of Newtonian physics, Euclidean geometry and Aristotelian logic, the issue at stake is whether the replacement of these conceptions collapses Kant’s philosophy into an unfortunate embarrassment.2 Thus, in evaluating the debate over the contemporary relevance of Kant’s philosophical project one is faced with the following two questions: (1) Are there any contradictions between the scientific developments of our era and Kant’s philosophy? (2) What is left from the Kantian legacy in light of our modern conceptions of logic, geometry and physics? Within this broad context, this paper aims to evaluate the Kantian project vis à vis the discovery and application of non-Euclidean geometries. Many important philosophers have evaluated Kant’s philosophy of geometry throughout the last century,3 but opinions with regard to the impact of non-Euclidean geometries on it diverge. In the beginning of the century there was a consensus that the Euclidean character of space should be considered as a consequence of the Kantian project, i.e., of the metaphysical view of space and of the synthetic a priori character of geometry. The impact of non-Euclidean geometries was then thought as undermining the Kantian project since it implied, according to positivists such.. (shrink)

The key word in the title of this book is "essay," for Strawson has not written an introduction to Kant, nor a commentary on the Critique. It would be closer to truth to say that Strawson has attempted to extract and to translate into a contemporary idiom what he takes to be philosophically important in the Critique. Kant's major positive achievement, according to Strawson, is the partial carrying out of a certain program, viz., "that of determining the fundamental general (...) structure of any conception of experience such as we can make intelligible to ourselves." But this program can be dissociated from the Kantian motif that the structure of experience is "imposed by our capacities." Thus Strawson speaks of the "doctrinal fantasies of transcendental idealism." Given Strawson's concern with what he takes to be Kant's positive achievement, he doesn't hesitate to expose the weakness of some of Kant's arguments, to restate many of them in a more convincing way, or even to supply new arguments. But Strawson also exhibits a remarkable sensitivity to many recondite aspects of the Critique, e.g., the role of "pure intuition" in Kant's theory of geometry, and the status of "self-consciousness." The result of Strawson's essay is a philosophically exciting encounter where one can learn as much about Kant as he can about Strawson's own central concerns, and indeed about some of the most central issues of philosophy, both past and present.—R. J. B. (shrink)

This paper argues that kant's general epistemology incorporates a theory of algebra which entails a less constricted view of kant's philosophy of mathematics than is sometimes given. To extract a plausible theory of algebra from the "critique of pure reason", It is necessary to link kant's doctrine of mathematical construction to the idea of the "schematism". Mathematical construction can be understood to accommodate algebraic symbolism as well as the more familiar spatial configurations of geometry.

Very often, the rise of non-Euclidean geometry and Einstein's theory of relativity are seen as the decisive defeat of Kant's theoretical philosophy. Scientific progress seems to render Kant's philosophy obsolete. This view became dominant during the first decades of the twentieth century, when the movement of logical positivism arose. Despite extensive criticism of basic tenets of this movement later in the twentieth century, its view of Kant's philosophy is still common. Although it is not my (...) intention to defend Kant infinitely, I think that this view is rather unsatisfactory and even misleading.Let us consider the first factor: non-Euclidean geometry. If one reads the firstCritiquecarefully, it becomes clear that the claims of transcendental logic do not imply Euclidean geometry. Kant's notion of space, as explained in the aesthetics chapter, is rather limited: it does neither entail nor presuppose a specific form of geometry. None of his statements about the form of space is specific enough to imply or support Euclidean geometry. Although Kant uses several examples, Euclidean geometry does not play any systematic role; only the pure form of space is at issue in the aesthetics chapter. In my view, the same holds in the case of Newton's physics: it is neither presupposed nor entailed by Kant's transcendental logic. The justification of Newton's physics requires further specialisation and application of the transcendental framework to empirical concepts like matter and motion. Kant took this step in hisMetaphysical Foundations of Natural Science. (shrink)

Written for the general reader and the student of moral philosophy, this book provides a clear and unified treatment of Kant's theory of morals. Bruce Aune takes into account all of Kant's principal writings on morality and presents them in a contemporary idiom. Originally published in 1980. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of (...) these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. (shrink)

In his new book the eminent Kant scholar Henry Allison provides an innovative and comprehensive interpretation of Kant's concept of freedom. The author analyzes the concept and discusses the role it plays in Kant's moral philosophy and psychology. He also considers in full detail the critical literature on the subject from Kant's own time to the present day. In the first part Professor Allison argues that at the centre of the Critique of Pure Reason there is the (...) foundation for a coherent general theory of rational agency. The second part employs this account of rational agency as a key to understanding Kant's concept of moral agency and associated moral psychology. The third part focuses on Kant's attempt to ground both moral law and freedom in the Groundwork and the Critique of Practical Reason. This is a major contribution to the interpretation of Kant which will be of special interest to scholars and graduate students of Kant's moral theory. (shrink)

This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.

To vindicate morality against skeptical doubts, Kant must show that agents can be moved to act independently of their sensible desires. Kant must therefore answer a motivational question: how does an agent get from the cognition that she ought to act morally to acting morally? Affectivist interpretations of Kant hold that agents are moved to act by feelings, while intellectualists appeal to cognition alone. To overcome the significant shortcomings of each view, I develop a hybrid theory of motivation. My (...) central interpretive claim is that Kant is a special kind of motivational internalist: on his view, agents are moved to act by a feeling of intellectual pleasure at the prospect of accomplishing a task they have set for themselves, a feeling that originates in free choice. The resulting theory is immune to the challenges facing intellectualism and affectivism, thus strengthening the prospects of Kant’s justification of morality. (shrink)

This Element examines Kant's innovative account of labour in his political philosophy and develops an intersectional analysis of Kant. By demonstrating that Kant's analysis of slavery, citizenship, and sex developed in inter-linked ways over several decades, culminating in his development of a 'trichotomy' of Right, the author shows that Kant's normative account of independence is configured through his theory of labour, and is continuous with his anthropological accounts of race and gender, providing a systemic justification for (...) the dependency of women and non-whites embedded in his philosophy of right. By examining Kant's arguments about slavery as intertwined with his account of domestic labour, the author argues that his ultimate rejection of slavery may owe more to his changing conceptualization of labour than to his theory of race, and that his final arguments against slavery rehearse strategies for embedding intersectional patterns of domestic dependence in his account of the rightful state. (shrink)

First published in 1962. Kant’s philosophical works, and especially the _Critique of Pure Reason_, have had some influence on recent British philosophy. But the complexities of Kant’s arguments, and the unfamiliarity of his vocabulary, inhibit understanding of his point of view. In _Kant’s Theory of Knowledge _an attempt is made to relate Kant’s arguments in the _Critique of Pure Reason _to contemporary issues by expressing them in a more modern idiom. The selection of issues discussed is intended to present (...) a continuous argument, of an epistemological kind, which runs centrally through the _Critique_. The argument deals with essentially with the problems, raised in the Transcendental Analytic, about the status of categories. It deals with certain preliminary assumptions made in setting these problems, and discusses the way in which the various sections of the Analytic contribute to their solution. It also deals with Kant’s criticisms of traditional metaphysics, and ends with an account of his effort in the Third Antinomy to resolve the conflict between freedom and causality, and so to effect a transition of knowledge to moral philosophy. (shrink)

This book offers an account of Kant's theory of moral motivation that comprehends the most challenging and controversial aspects of Kant's theory of the will and human moral motivational psychology. It argues for a new approach to the question about the purity of the Kantian moral motive.

Kant's theory of the intuitive intellect has a broad and substantial role in the development and exposition of his critical philosophy. An emphasis on this theory's reception and appropriation on the part of the German idealists has tended to divert attention from Kant's own treatment of the topic. In this essay, I seek an adequate overview of the theory Kant advances in support of his critical enterprise. I examine the nature of the intuitive intellect's object; (...) its epistemic relation to its object; its mode of comprehension; the relationship between these cognitive elements; and I ask which minds Kant regards as intuitive intellects. (shrink)

An Essay on Kant’s Theory of Evil shows the centrality of the doctrine of radical evil within Kant's critical philosophy. Combining textual accuracy with systematic ethical theory, it fills the gaps Kant left open in his own doctrine, and provides a non-mystifying account of human immorality, which shows the pertinence of the Kantian view to our moral concerns.

In my dissertation, I argue that contemporary interpretive work on Kant's philosophy of geometry has failed to understand properly the diagrammatic aspects of Euclidean reasoning. Attention to these aspects is amply repaid, not only because it provides substantial insight into the role of intuition in Kant's philosophy of mathematics, but also because it brings out both the force and the limitations of Kant's philosophical account of geometry. ;Kant characterizes the predecessors with which he was engaged (...) as agreeing that mathematical judgments are analytic a priori. This is an inadequate account of geometrical judgments for Kant, because it cannot be reconciled with the evident success of the Euclidean practice in producing a priori knowledge of the nature of space. The ubiquitous presence of diagrams in Euclidean proofs suggests that, at least in Kant's time, any plausible account of the establishment of geometrical judgments must provide for the role of quasi-perceptual representations of individuals. Kant's claim that mathematical judgments are synthetic a priori reflects, in its positive aspect, his recognition of the importance of these 'intuitive' representations to Euclidean reasoning. Furthermore, Kant's doctrine that geometrical knowledge is established by the construction of concepts in intuition can be usefully understood as an attempt to accommodate the role of diagrams in the establishment of synthetic a priori geometrical judgments. ;Both Kant's rejection of the analytic a priori account of mathematics and his positive account of geometry depend on the plausibility of his appeals to Euclidean practice. Attention to the role of diagrams in Euclidean proof supports Kant's contention that intuitive representations are an essential component of Euclidean reasoning; however, the role of diagrams in both reductio proofs and in proofs by cases brings out tensions in Kant's positive account. The use of diagrams to represent impossible geometrical situations in reductio proofs indicates that Kant's notion of 'construction in intuition' can have a broader application than the construction of instances of geometrical concepts . Similarly, proofs by cases undermine Kant's attempts to explain the generality of judgments established through the consideration of individuals by appeal to the rules for the construction of those individuals. ;Contemporary interpretive debates about Kant's philosophy of geometry have centered on the philosophical role played by his appeal to intuition. This appeal cannot be primarily understood as an attempt to establish that the fundamental assumptions of Euclidean geometry are necessary truths about space. Nor can the role for intuition be regarded as merely licensing moves in geometrical proofs like an inference rule in modern logic. Instead, by understanding Kant's appeal to intuition as, at least in part, an attempt to accommodate the diagrammatic features of Euclidean reasoning, a much richer role for intuition is revealed. Intuition is required to play a logical role by expressing spatial relationships and establishing the existence of geometrical entities. In addition, it plays a quasi-perceptual role by supporting the truth of certain claims appealed to during the course of Euclidean proof. (shrink)

Anne Margaret Baxley offers a systematic interpretation of Kant's theory of virtue, whose most distinctive features have not been properly understood. She explores the rich moral psychology in Kant's later and less widely read works on ethics, and argues that the key to understanding his account of virtue is the concept of autocracy, a form of moral self-government in which reason rules over sensibility. Although certain aspects of Kant's theory bear comparison to more familiar Aristotelian (...) claims about virtue, Baxley contends that its most important aspects combine to produce something different - a distinctively modern, egalitarian conception of virtue which is an important and overlooked alternative to the more traditional Greek views which have dominated contemporary virtue ethics. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:BOOK REVIEWS 535 second English volume), Ratzinger's Behold the Prerced One (pp. 1345 ), and W. Kasper's Theology and Church (pp. 94-108; Kasper says simply, "Rahner's characterization of neo-Chalcedonianism is historicaly inaccurate," p. 214, note 18). As it is, Ols's treatment reminds us that Rahner's own writings, which overlooked the later Councils of Constantinople, presume that Chalcedon had been the end of a development in Christology; this inaccurate presumption (...) has dominated too much of the writing which has followed Rahner's essay. Ols returns to this problem of " latent monophysitism " in some classical christologies in the final chapters of his work (VIII-XI). With a careful examination of the christology of Aquinas, the author skillfully demonstrates the rich development of Christ's true humanity that is possible within the classical approach; he deals specifically with the topics of Christ's knowledge, his sinlessness, and the concept of person. (It is interesting to note that, like Rahner and others before and after, Ols thinks that the word "person" is not particularly felicitous and would prefer simply the word hypostasis or subsistence [p. 187]. His wish is likely to have no more success than previous suggestions in this regard.) Although limited in its intent, this hook is rich in many ways. Ols's knowledge of St. Thomas is deep, and he uses that knowledge well. His critique of Rahner and Schilleheeckx may he forceful in its negative assertions, hut I believe it is accurate in pointing out the philosophical idealism that underlies much of their christological writings. This idealism is too often overlooked and needs the corrective of what we might call "Mediterranean realism." Although his criticism may he incisive, it is never unfair or strident, and he is aware of the positive insights that these men have contributed to our continuing reflections on the Lord. By intent, Ols's work is essentially one of evaluation and criticism. Nevertheless, the chapters that reflect on (and develop) Aquinas's teaching and give a positive presentation of the real human· ity of the Lord lead one to hope that the author will follow this study with a fully elaborated christology. St. Joseph's Seminary, Dunwoodie Yonkers, New York JAMES T. O'CONNOR Kant's System of Rights. By LESLIE A. MULHOLLAND. New York: Columbia University Press, 1990. Pp. xvii + 434. $49.00. Several good hooks on Kant's political philosophy have appeared in the past decade, hut the literature on Kant's political philosophy is still both slimmer and weaker than on any other aspect of his thought. 536 BOOK REVIEWS Though we still await a definitive study of the topic, this book goes a long way toward filling some important gaps. Even the best books on Kant's political philosophy tend to treat only the broad outlines of Kant's position, shying away from detailed exposition of Kant's theories of individual right and external possession and of the political theory based on them. Mulholland's is not only the most detailed but also the most persuasive account of these matters which has yet been presented in English. The book's first four chapters attempt to lay the foundations for Kant's political philosophy through a general discussion of his ethical theory. The main function of these (somewhat overlong) introductory chapters is to argue for a tension between the law of nature formula (which Mulholland prefers as a guide to Kant's theory of right) and the formula of humanity as end in itself. According to Mulholland, the law of nature formula leads to a theory of rights and political obliga· tion which places Kant in the natural law tradition, whereas the formula of humanity commits him to what Mulholland calls the " deed principle ": that acquired rights can come about only through a deed on the part of those having the duties corresponding to the rights through which these duties have been assumed. Mulholland argues that if we take the deed principle strictly, then we must base political obligation on consent and thus on a social contract. The burden of Mulholland's argument throughout the book is that Kant cannot sustain the deed principle, and it is... (shrink)

During the last twenty years, Kant's theory of biology has increasingly attracted the attention of scholars and developed into a field which is growing rapidly in importance within Kant studies. The volume presents fifteen interpretative essays written by experts working in the field, covering topics from seventeenth- and eighteenth-century biological theories, the development of the philosophy of biology in Kant's writings, the theory of organisms in Kant's Critique of the Power of Judgment, and current perspectives (...) on the teleology of nature. (shrink)

This book constitutes one of the most important contributions to recent Kant scholarship. In it, one of the pre-eminent interpreters of Kant, Henry Allison, offers a comprehensive, systematic, and philosophically astute account of all aspects of Kant's views on aesthetics. The first part of the book analyses Kant's conception of reflective judgment and its connections with both empirical knowledge and judgments of taste. The second and third parts treat two questions that Allison insists must be kept distinct: the (...) normativity of pure judgments of taste, and the moral and systematic significance of taste. The fourth part considers two important topics often neglected in the study of Kant's aesthetics: his conceptions of fine art, and the sublime. (shrink)

Konstantin Pollok offers the first book-length analysis of Kant's theory of normativity that covers foundational issues in theoretical and practical philosophy as well as aesthetics. Interpreting Kant's 'critical turn' as a normative turn, he argues that Kant's theory of normativity is both original and radical: it departs from the perfectionist ideal of early modern rationalism, and arrives at an unprecedented framework of synthetic a priori principles that determine the validity of our judgments. Pollok examines the (...) hylomorphism in Kant's theory of normativity and relates Kant's idea of our reason's self-legislation to the 'natural right' tradition, revealing Kant's debt to his predecessors as well as his relevance to contemporary debates on normativity. This book will appeal to academic researchers and advanced students of Kant, early modern philosophy and intellectual history. (shrink)

This seminal contribution to Kant studies, originally published in 1982, was the first to present a thorough survey and evaluation of Kant's theory of mind. Ameriks focuses on Kant's discussion of the Paralogisms in the Critique of Pure Reason, and examines how the themes raised there are treated in the rest of Kant's writings. Ameriks demonstrates that Kant developed a theory of mind that is much more rationalistic and defensible than most interpreters have allowed.

Kant's masterpiece, Critique of Pure Reason, is universally recognized to be among the most difficult of all philosophical writing, and yet it is required reading in almost every course that covers modern philosophy. Most students find Critique of Pure Reason impenetrable without the help of secondary sources. While there are numerous advanced scholarly works on the topic, Dicker's is the first treatment explicitly designed for undergraduates to read alongside the primary text, rendering Kant's views accessible without oversimplifying them. (...) His book will be useful to both undergraduate and graduate students tackling this notoriously difficult yet highly influential thinker in courses in modern philosophy, epistemology, and Kant. (shrink)

La philosophie de la géométrie de Hölder, si l’on s’en tient à une lecture superficielle, est la part la plus problématique de son épistémologie. Il soutient que la géométrie est fondée sur l’expérience à la manière de Helmholtz, malgré les objections sérieuses de Poincaré. Néanmoins, je pense que la position de Hölder mérite d’être discutée pour deux motifs. Premièrement, ses implications méthodologiques furent importantes pour le développement de son épistémologie. Deuxièmement, Poincaré utilise l’opposition entre le kantisme et l’empirisme comme un (...) argument pour justifier son conventionnalisme géométrique. Cependant, Hölder montre qu’une stratégie alternative n’est pas exclue: il sait tirer parti des objections kantiennes pour développer un empirisme cohérent. En même temps, surtout dans Die mathematische Methode [Holder 1924], il adopte aussi bien les expressions que les conceptions de Kant. Dans mon article, je considère d’abord les arguments de Hölder pour la méthode déductive en géométrie dans Anschauung und Denken in der Geometrie [Holder 1900], en relation avec sa façon d’aborder la théorie de la quantité [Holder 1901]. Ensuite, j’examine son rapport avec Kant. À mon sens, les considérations méthodologiques de Hölder lui permettent de préfigurer une relativisation de l’a priori. (shrink)

La philosophie de la géométrie de Hölder, si l’on s’en tient à une lecture superficielle, est la part la plus problématique de son épistémologie. Il soutient que la géométrie est fondée sur l’expérience à la manière de Helmholtz, malgré les objections sérieuses de Poincaré. Néanmoins, je pense que la position de Hölder mérite d’être discutée pour deux motifs. Premièrement, ses implications méthodologiques furent importantes pour le développement de son épistémologie. Deuxièmement, Poincaré utilise l’opposition entre le kantisme et l’empirisme comme un (...) argument pour justifier son conventionnalisme géométrique. Cependant, Hölder montre qu’une stratégie alternative n’est pas exclue: il sait tirer parti des objections kantiennes pour développer un empirisme cohérent. En même temps, surtout dans Die mathematische Methode [Holder 1924], il adopte aussi bien les expressions que les conceptions de Kant. Dans mon article, je considère d’abord les arguments de Hölder pour la méthode déductive en géométrie dans Anschauung und Denken in der Geometrie [Holder 1900], en relation avec sa façon d’aborder la théorie de la quantité [Holder 1901]. Ensuite, j’examine son rapport avec Kant. À mon sens, les considérations méthodologiques de Hölder lui permettent de préfigurer une relativisation de l’a priori. (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)

The theory of action underlying Immanuel Kant's ethical theory is the subject of this book.

Much of the scholarship on Kant’s theory of concept formation has focused on the question of whether his theory suffers from circularity, i. e., whether it presupposes the very concepts whose origin it should explain. In this article, I defend Kant against a well-known objection raised by Hannah Ginsborg. Ginsborg, I argue, overlooks the relatively narrow aim of Kant’s theory of concept formation. Kant explicitly frames it as an account of a concept’s inherent generality, or form. However, (...) Ginsborg’s objection is not about a concept’s form; it concerns the concept’s content. Moreover, Kant addresses the issue that she raises in his theory of definitions, which explains how a concept’s content can be revised and perfected. Kant considered all empirical concepts to be incomplete and imprecise. For this reason, he denied that they can be properly defined. Kant also did not regard the content of empirical concepts as fixed or permanent. Indeed, he expected that we would continually expand and revise their content on the basis of experience. I argue that these facts, along with the narrow scope of Kant’s theory of concept formation, effectively defuse Ginsborg’s objection. (shrink)

La philosophie de la géométrie de Hölder, si l’on s’en tient à une lecture superficielle, est la part la plus problématique de son épistémologie. Il soutient que la géométrie est fondée sur l’expérience à la manière de Helmholtz, malgré les objections sérieuses de Poincaré. Néanmoins, je pense que la position de Hölder mérite d’être discutée pour deux motifs. Premièrement, ses implications méthodologiques furent importantes pour le développement de son épistémologie. Deuxièmement, Poincaré utilise l’opposition entre le kantisme et l’empirisme comme un (...) argument pour justifier son conventionnalisme géométrique. Cependant, Hölder montre qu’une stratégie alternative n’est pas exclue: il sait tirer parti des objections kantiennes pour développer un empirisme cohérent. En même temps, surtout dans Die mathematische Methode [Holder 1924], il adopte aussi bien les expressions que les conceptions de Kant. Dans mon article, je considère d’abord les arguments de Hölder pour la méthode déductive en géométrie dans Anschauung und Denken in der Geometrie [Holder 1900], en relation avec sa façon d’aborder la théorie de la quantité [Holder 1901]. Ensuite, j’examine son rapport avec Kant. À mon sens, les considérations méthodologiques de Hölder lui permettent de préfigurer une relativisation de l’a priori. (shrink)

I use recent work on Kant and diagrammatic reasoning to develop a reconsideration of central aspects of Kant’s philosophy of geometry and its relation to spatial intuition. In particular, I reconsider in this light the relations between geometrical concepts and their schemata, and the relationship between pure and empirical intuition. I argue that diagrammatic interpretations of Kant’s theory of geometrical intuition can, at best, capture only part of what Kant’s conception involves and that, for example, they cannot explain (...) why Kant takes geometrical constructions in the style of Euclid to provide us with an a priori framework for physical space. I attempt, along the way, to shed new light on the relationship between Kant’s theory of space and the debate between Newton and Leibniz to which he was reacting, and also on the role of geometry and spatial intuition in the transcendental deduction of the categories. (shrink)

This paper is about Poincaré’s view of the foundations of geometry. According to the established view, which has been inherited from the logical positivists, Poincaré, like Hilbert, held that axioms in geometry are schemata that provide implicit definitions of geometric terms, a view he expresses by stating that the axioms of geometry are “definitions in disguise.” I argue that this view does not accord well with Poincaré’s core commitment in the philosophy of geometry: the view that (...) geometry is the study of groups of operations. In place of the established view I offer a revised view, according to which Poincaré held that axioms in geometry are in fact assertions about invariants of groups. Groups, as forms of the understanding, are prior in conception to the objects of geometry and afford the proper definition of those objects, according to Poincaré. Poincaré’s view therefore contrasts sharply with Kant’s foundation of geometry in a unique form of sensibility. According to my interpretation, axioms are not definitions in disguise because they themselves implicitly define their terms, but rather because they disguise the definitions which imply them. (shrink)

From Descartes to Hume, philosophers in the seventeenth and eighteenth centuries developed a dialectic of radically conflicting claims about the nature of the self. In the Paralogisms of The Critique of Pure Reason, Kant comes to terms with this dialectic and with the character of the experiencing self. In this study, Powell seeks to elucidate these difficult texts, showing that the structure of the Paralogisms provides an essential key to understanding both Kant's critique of "rational psychology" and his (...) class='Hi'>theory of self-consciousness. As Kant realized, the ways in which we must represent ourselves to ourselves have import not only for epistemology, but for our view of persons and of our own immortality, as well as for moral philosophy. His theory of self-consciousness is also shown to have implications for contemporary discussions of the problem of other minds, functionalism, and the problem of indexical self-reference. (shrink)

The prevailing interpretation of Kant’s _First Critique _in Anglo-American philosophy views his theory of a priori knowledge as basically a theory about the possibility of empirical knowledge, or the a priori conditions for that possibility. Instead, Robert Greenberg argues that Kant is more fundamentally concerned with the possibility of a priori knowledge—the very possibility of the possibility of empirical knowledge in the first place. Greenberg advances four central theses: the _Critique_ is primarily concerned about the possibility, or relation (...) to objects, of a priori_,_ not empirical knowledge, and Kant’s theory of that possibility is defensible; Kant’s transcendental ontology must be distinct from the conditions of the possibility of a priori knowledge; the functions of judgment, in Kant’s discussion of the Table of Judgments, should be seen according to his transcendental logic as having content, not as being just logical forms of judgment making; Kant’s distinction between and connection of ordering relations and reference relations have to be kept in mind to avoid misunderstanding the _Critique_. At every step of the way Greenberg contrasts his view with the major interpretations of Kant by commentators like Henry Allison, Jonathan Bennett, Paul Guyer, and Peter Strawson. Not only does this new approach to Kant present a strong challenge to these dominant interpretations, but by being more true to Kant’s own intent it holds promise for making better sense out of what have been seen as the _First Critique_’s discordant themes. (shrink)