Kant: Schematism

I offer a new reconstruction of Hegel’s criticism of Kant’s idealism. Kant held that we impose categorial form on experience, while sensation provides its matter. Hegel argues that the matter we receive cannot guide our imposition of form on it. Contra recent interpretations, Hegel’s argument does not depend on a conceptualist account of perception or a view of the categories as empirically conditioned. His objection is that given Kant’s dualistic metaphysics, the categories cannot have material conditions for correct application. This (...) leads to subjectivism in the content of experience: the subject is given an implausibly strong role in determining what is the case. Hegel’s own absolute idealism solves this problem. (shrink)

Bu tez, Kant'ın şematizm olarak adlandırdığı, düşünsel kavramların duyusal görünümlere nasıl uygulanabileceğini açıklamaya çalıştığı edimi konu edinmektedir. Şematizm, düşünürler tarafından genellikle eleştirilmiş veya anlaşılmaz bulunmuştur ancak eleştirel felsefenin oldukça önemli bir yönünü oluşturur. Söz konusu çalışmada, şematizmin temsiller arasındaki geçişlerle nasıl anlaşılabileceği; duyusallık ile anlama yetisi ve anlama yetisi ile akıl arasındaki ilişkiyi nasıl oluşturduğu gösterilecektir. Bu ilişki, anlama yetisinin duyusallıktan gelen malzemeyi nasıl kurduğu, aklın ise anlama yetisinden gelen bilgileri nasıl düzenlediğiyle ilgilidir. Bununla birlikte, temsiller arasındaki olası geçişlerin farklı (...) (gidimli, belirleyici, düşünümsel, benzetimli) şematizm türlerine nasıl olanak sağladığı gösterilmeye çalışılacaktır. Göreceğiz ki şematizm, matematiği ve fizyolojiyi (fizik ve metafizik) zamansallığa dayanarak temellendirir. -/- This thesis deals with the act that Kant calls schematism, the way of applying intellectual concepts to sensible appearances. Schematism has been generally criticized or deemed incomprehensible by thinkers, but it constitutes a vitally important aspect of the critical philosophy. In this study, I will attempt to show how schematism provides transitions between representations and establishes the relation between sensibility and understanding, also between understanding and reason. The relation is about how the understanding constructs the material of sensibility, and how the reason regulates the cognitions of the understanding. In this respect, I will also show that possible transitions between representations (discursive, determinative, reflexive and analogical) enable different ways of schematism. It will be shown that schematism grounds mathematics, and physiology (physics and metaphysics) based on temporality. (shrink)

In "Kant on Freedom and Rational Agency", I aim to give a comprehensive interpretation and a qualified defense of Kant’s doctrine of freedom as a systematic conception of rational agency. -/- Although my book follows Kant in focusing on the idea of free will as a condition of moral agency, it denies that moral freedom of will is the only relevant (transcendental) type of freedom. Human beings also exercise absolute freedom of thought (intellectual autonomy) in their theoretical cognition. Moreover, our (...) creation and appreciation of beauty requires our freedom of imagination. I consider these three varieties of free agency both in their own rights and in their systematic connections, by examining how they differ from and yet relate to each other. On this basis, my interpretation shows that and why for Kant transcendental freedom is the proper anchor ("cardinal point") of all meaningful, rational human activity: our moral efforts to become more virtuous and to make the world a better place; our theoretical efforts to understand, explain and predict the world; and our aesthetic engagement with the world of beauty, both artistic and natural. -/- Additionally, "Kant on Freedom and Rational Agency" illuminates Kant's intricate, multifaceted account by considering the various metaphysical, semantic, epistemological and normative dimensions of Kantian freedom and by revealing their systematic interconnections. One significant benefit of tracing these links is that by doing so we can arrive at a charitable view of how Kant seeks to justify the belief in moral freedom of will. -/- For many commentators, Kant's appeal to a moral ‘fact of reason’ as our basis for believing in supersensible free will is an abject philosophical failure or a lapse into dogmatic rationalism. By contrast, I show that Kant justifies our belief in free will through a rather powerful, two-pronged argumentative strategy. First, he constructs a practical-moral proof of free will via the fact of reason doctrine. Second, he provides a theoretical defense of this moral proof against challenges arising from a naturalistic worldview. The linchpin of this defense is his argument that naturalistic cognizers must presuppose their epistemic freedom of thought as a necessary condition of all objective theoretical (including naturalistic) cognition. Since epistemic freedom of thought and moral freedom of will are both species of transcendental freedom, naturalists cannot (coherently) debunk our practical self-conception as transcendentally free moral agents. The appeal to epistemic freedom of thought provides no positive grounds for believing in a free moral will; but it shields our moral self-awareness (which does provide such grounds) against its most prominent detractors. -/- This defense strategy (among other aspects of Kant’s view that I examine in my book) shows that a significant part of Kant’s legacy is his abiding potential to challenge and provide alternatives to a naturalistic philosophical worldview (held by the “defender of an omnipotent nature”) according to which the mechanistic order of nature engulfs all metaphysical reality and (thereby) our entire humanity. (shrink)

The aim of the Schematism chapter of the Critique of Pure Reason is to solve the problem posed by the “inhomogeneity” of intuitions and categories: the sensible properties of objects represented in intuition are of a different kind than the properties represented by categories. Kant's solution is to introduce what he calls “transcendental schemata,” which mediate the subsumption of objects under categories. I reconstruct Kant's solution in terms of two substantive premises, which I call Subsumption Sufficiency (i.e., that subsuming an (...) object under a transcendental schema is sufficient to subsume it under the corresponding category) and Real Possibility (i.e., that it is really possible to subsume objects under each of the transcendental schemata). These two principles, together with a trivial modal one (the Subsumption-Possibility Link), entail that it is possible to subsume objects under categories; in other words, the argument of the Schematism is valid. The main work of the paper consists in reconstructing Kant's arguments for, and explanations of, these premises. I argue that they hinge on Kant's claim that transcendental schemata are “time-determinations,” which I interpret to mean: rules for reflexively representing the temporal relations among our own representational states. On the basis of this reading, I reconstruct Kant's argument for Subsumption Sufficiency, category by category. I also explain why Real Possibility follows almost immediately. Granting Kant the argument up to this point in the Critique, the argument of the Schematism is sound. (shrink)

Kant posits the schema as a hybrid bridging the generality of pure concepts and the particularity of sensible intuitions. However, I argue that countenancing such schemata leads to a third-man regress. Siding with those who think that the mid-way posit of the Critique of Pure Reason's schematism section is untenable, my diagnosis is that Kant's transcendental inquiry goes awry because it attempts to analyse a form/matter union that is primitive. I therefore sketch a nonrepresentational stance aimed at respecting this primitivity.

Vor dem Hintergrund der Debatte um nichtbegriffliche Vorstellungsinhalte sucht diese Arbeit ein adäquates Verständnis von Kants Lehre der Erkenntnisquellen, Sinnlichkeit und Verstand, und der Ungleichartigkeit der anschaulichen und begrifflichen Vorstellungsweise, speziell bezüglich der Transzendentalen Ästhetik, der Lehre der transzendentalen Synthesis der Einbildungskraft (Selbstaffektion) und der Theorie des transzendentalen Schematismus. -/- Engaging in the Kantian debate on the existence of non-conceptual content, this work attempts to provide an adequate understanding of Kant’s doctrine of the two sources of human knowledge, sensibility and (...) understanding, and of their heterogeneous ways of representing, through intuitions and concepts. It elaborates on a consistent reading of this dualism in relation to the Transcendental Aesthetic, the synthesis of imagination, and the schematism. (shrink)

It has become typical to read Kant and Merleau-Ponty as offering competing approaches to perceptual experience. Kant is interpreted as an ‘intellectualist’ who regards perception as conceptual ‘all the way out’, while Merleau-Ponty is seen as Kant’s challenger, who argues that perception involves non-conceptual, embodied ‘coping’. In this paper, however, I argue that a closer examination of their views of perception, especially with respect to the notion of ‘schematism’, reveals a great deal of historical and philosophical continuity between them. By (...) analyzing Kant’s theory of schematism, the interpretation of it by the Neo-Kantian Pierre Lachièze-Rey, and Merleau-Ponty’s theory of the body schema, we find that aspects of Merleau-Ponty’s theory of perception are better understood as a development of Kant’s theory of perception. (shrink)

My aim in this paper is to offer a systematic analysis of a feature of Kant’s theory of perception that tends to be overlooked, viz., his account of how the imagination forms images in perception. Although Kant emphasizes the centrality of this feature of perception, indeed, calling it a ‘necessary ingredient’ of perception, commentators have instead focused primarily on his account of sensibility and intuitions on the one hand, and understanding and concepts on the other. However, I show that careful (...) attention to what he says about the nature of images, their connection to the imagination, and their role in perception in his Metaphysics Lectures, as well as in the Deduction and Schematism chapters of the first Critique reveals that Kant is working with a richer, more nuanced framework for perception than is often attributed to him. I contend that it is only once we have a revised framework for Kant’s theory of perception in place that we will be able to make further headway in debates, e.g., about whether or not he is a conceptualist about perception. (shrink)

In the Critique of Pure Reason, Kant describes schematism as a (A141/B180–1). While most commentators treat this as Kant's metaphorical way of saying schematism is something too obscure to explain, I argue that we should follow up Kant's clue and treat schematism literally as Kunst. By letting our interpretation of schematism be guided by Kant's theoretically exact ways of using the term Kunst in the Critique of Judgment we gain valuable insight into the nature of schematism, as well as its (...) connection to Kant's concerns in the third Critique. (shrink)

: Usually, when studying schematism we devote almost exclusive attention to the study of the modifications that the categories suffer when combined with time. Instead, we have focused our attention on the determinations that time receives when combined with the categories. Departing from the definition of the transcendental schemata as “determinations of time”, an attempt is made to establish the various determinations that time receives from each one of the categories, as these perform the determination of time in schematism. The (...) categories of quantity allow us to think of time as a series of homogeneous unities; the categories of quality show each instant of time as a receptacle able to receive the different intensities of the real; the categories of relation establish a rule-dependent order on the flow of time; finally, the categories of modality determine the whole of time forming a collective unity that gathers or embraces each one of the instants of time preserving its specificity. (shrink)

A pesar de las escasas referencias al lenguaje en la obra de Kant, cabe plantear la existencia de una concepción semántica latente en el conjunto de la filosofía trascendental. La cuestión del significado se corresponde en Kant a la pregunta por el fundamento de la relación entre una representación universal (o tipo) y el particular que le corresponde. De acuerdo con lo presentado en el parágrafo 59 de la Crítica de la facultad de juzgar, dos son los modelos que nos (...) permiten pensar toda posible relación particular-tipo (hipotiposis): la exposición esquemática y la exposición simbólica. El objetivo principal del presente artículo es analizar la naturaleza, función y lugar sistemático de la noción de exposición esquemática en cuanto modelo de significación operante en el dominio teórico, mostrando a su vez la crítica implícita a la comprensión del funcionamiento de nuestros conceptos en autores como Locke, Berkeley y Hume. Se ubicará asimismo el concepto de exposición simbólica en el contexto de la problemática de una exposición de las ideas de razón. (shrink)

In his lectures on general logic Kant maintains that the generality of a representation (the form of a concept) arises from the logical acts of comparison, reflection and abstraction. These acts are commonly understood to be identical with the acts that generate reflected schemata. I argue that this is mistaken, and that the generality of concepts, as products of the understanding, should be distinguished from the classificatory generality of schemata, which are products of the imagination. A Kantian concept does not (...) provide mere criteria for noting sameness and difference in things, but instead reflects the inner nature of things. Its form consists in the self-consciousness of a capacity to judge (i.e. the Concept is the ‘I think’). (shrink)

In this paper we analyze an ambiguity concealed in the concept of determination as used by Kant in his characterization of the transcendental schema as “transcendental time-determination”. We claim that, in this context, “determination” can be understood in a dynamic way as well as in a static manner. In the first case, transcendental schemata are procedures of synthesis or temporal determination of the empirical manifold. In the second case, transcendental schemata are the basic temporal properties or determinations produced by those (...) procedures. (shrink)

In this piece I address the question of how the two parts of the *Metaphysics of Morals* are to be related to each other through invocation of the notion of practical schematism. In the process I argue that understanding the notion of moral teleology will help us address the relationship between Kant's principles of right, virtue and the categorical imperative.

In the early steps of the Transcendental Deduction in the Critique of Pure Reason, Kant briefly addresses the threat posed by usurpatory concepts such as 'fate' and 'fortune'. Commentators have largely passed over these remarks, but in this paper I argue that a careful analysis of the reasons why 'fate' and 'fortune' are usurpatory reveals an important point about the relation between the Deduction and the Principles chapters of the Critique. In particular, I argue that 'fate' and 'fortune' are usurpatory (...) because they are unable to discriminate between the particular contents of experience, and that this requires that Kant provide an account of how the categories are able to accomplish this task. And this in turn shows that the justificatory work begun in the Deduction can be completed only in the Schematism and Principles. (shrink)

El objetivo de nuestro artículo es ofrecer una interpretación del capítulo sobre “El esquematismo de los conceptos puros del entendimiento” de la Crítica de la razón pura de Immanuel Kant. Nuestra hipótesis es que en la doctrina del esquematismo se decide la posibilidad de la constitución ontológica del objeto como objeto. Consiguientemente, mostraremos que únicamente con los esquemas trascendentales nos encontramos con los predicados ontológicos fundamentales de la objetividad. Esto se demuestra estableciendo que solo gracias a la doctrina del esquematismo (...) se pone de manifiesto el dinamismo interno de la cooperación entre la sensibilidad y el entendimiento que da lugar al conocimiento objetivo. (shrink)

IN THE FIRST EDITION TRANSCENDENTAL DEDUCTION of the categories Kant does not mention the logical functions of judgment. In the second edition the Deduction can be said to be dominated by the logical functions of judgment. A transcendental deduction supplies a method for showing that pure concepts can have applicability. My contention is that the two deductions constitute exactly the same method, and so are the exact same deduction. The difference between them, rather, is in the characterization of the pure (...) concepts that the method is supposed to be a method for. The undifferentiated categories of the A edition become the logical functions together with their schemata in the B edition. This does not mean that Kant has split the A edition notion of categories since the A edition categories are equivalent to just the schemata themselves. (shrink)

This entirely new translation of Critique of Pure Reason by Paul Guyer and Allan Wood is the most accurate and informative English translation ever produced of this epochal philosophical text. Though its simple, direct style will make it suitable for all new readers of Kant, the translation displays a philosophical and textual sophistication that will enlighten Kant scholars as well. This translation recreates as far as possible a text with the same interpretative nuances and richness as the original.

In this paper I advance an account of Kant’s Schematism according to which a schema in general is a pattern of imaginative synthesis that explains how intuitions have the content required for them to fall under a concept corresponding to the schema. An empirical schema is a pattern of imaginative synthesis that is responsive to the qualities of the sensations involved in the intuition which it synthesizes. A transcendental schema, in contrast, is not responsive to the particular qualities of the (...) sensations involved in intuitions but only to structural relations between intuitions. So a transcendental schema is a form of imaginative synthesis that explains how intuitions have the content required for them to fall under a category corresponding to the schema. This account can be grounded in the text of the Critique of Pure Reason, and it also does justice to Kant’s commitment to sensible and empirical schemata as well as transcendental schemata, his association of schemata with imagination and imaginative synthesis, and his claim that “schematism … is an art concealed in the depths of the human soul” (A141/B180). (shrink)

According to Kant the figurative synthesis and the schemata are both serving the mediation of intuition and concept. In this article, I investigate their respective functions and the special manner of their cooperation in the process of knowledge. Kant prefers geometrical concepts as examples for schemata. The schema of a triangle is a rule to construct it, that is a rule which is able to produce an image. The representation of a triangle requires a construction, which is an action of (...) the pure productive imagination: the figurative synthesis connects the manifold in pure intuition following the rules for construction. But important aspects remain hidden in mathematical examples. It is after all the same figurative synthesis which enables us to apprehend an object with the use of empirical concepts (A 224/B 271). This action of imagination and its cooperation with schematization becomes especially clear in the use of empirical concepts. (shrink)

This contribution first proposes to link the transcendental deduction to the problematic function of the understanding, and the transcendental schematism to the assertoric function of the faculty of judgment. Then it deals with classical objections against the irrelevance of schematism and the doctrine of subsumption, and concludes that the universal character of the transcendental scheme is not the same as the universal character of the concept (which lies in the extension, hence in a relation of subordination), but results necessarily from (...) a synthesis of representations in the pure "a priori" imagination (relation of coordination). (shrink)

This landmark book is now reissued in a new edition that has been vastly rewritten and updated to respond to recent Kantian literature.

SummaryThe paper is concerned with the connection between Kant's conception of transcendental schematism and his analysis of the conditions of the possibility of synthetic a priori judgments. After dealing with some of the standard objections to Kant's theory, I argue that transcendental schemata must be construed as pure intuitions. I then point out that the Principles of Pure Understanding are a set of synthetic a priori judgments which assert the function of the various schemata as necessary conditions of the possibility (...) of experience, and that each of these judgments involves the relation of a pure concept to pure intuition . Finally, I argue that the connection between a category and its schema must itself be both synthetic and a priori. It therefore requires a “deduction”, which Kant himself does not provide, but which I endeavor, in part, to provide for him. (shrink)