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Kant's Notion of a Transcendental Schema

The Constitution of Objective Cognition between Epistemology and Psychology

by Lara Scaglia (Author)
©2020 Thesis 294 Pages

Summary

The main aim of this book is to provide a critical and historical inquiry into Kant’s schematism chapter contained in the Critique of Pure Reason. More specifically, the book argues that Kant’s schematism chapter is a necessary step within the project of the Critique. It deals with a problem of its own, one which is not the object of the previous chapters: How can categories be applied to intuitions? The author shows that the term ‘schema’ has an interesting and long tradition of different philosophical uses that finds in the works of Kant a point of no-return. In the philosophical works written before Kant, the notion of schema did not have a specific and distinctive meaning and function of its own but was rather used in different contexts (from rhetoric to logic to psychology). After Kant, all philosophers who speak of schemata refer in one way or another back to Kant’s distinctive notion, which possesses a specific, epistemic meaning. Moreover, this book aims to provide a contribution to the understanding of the relation between philosophy and the sciences. It is by means of demonstrating the importance of the schematism chapter not only within the Critique but also from a broader perspective, deriving from the fact that Kant’s doctrine of schemata had an impressive influence not only on philosophers but also on psychologists.

Table Of Contents

  • Cover
  • Title Page
  • Copyright
  • Preface
  • About the author
  • About the book
  • Citability of the eBook
  • Contents
  • Introduction
  • Main objectives of the study
  • Method
  • State of the art
  • Structure
  • Part I: Kant’s theory of schematism and its context
  • 1.The notion of schema before Kant
  • 1.1 Ancient times
  • 1.2 Middle Ages
  • 1.3 Modern Ages
  • 1.3.1 Tetens’s conception of schema
  • 1.4 Conclusion
  • 2.Kant’s pre-critical notion of schema
  • 2.1 The metaphysical notion of schema in the Nova Dilucidatio
  • 2.2 The new significance of schema in the Dissertation from 1770. A first reference to the problem of objectivity
  • 2.2.1 Schema and the forms of the worlds
  • 2.2.2 The novelty of the account of space and time as schemata in the Dissertation: Comparison with Newton and Leibniz
  • 2.2.3 The limitations of Kant’s Dissertation and the need of a further solution to the question of objectivity
  • 3.The introduction of the transcendental forms in the Critique of Pure Reason
  • 3.1 The doctrine of sensibility
  • 3.2 The doctrine of the understanding
  • 4.Analysis of the schematism chapter
  • 4.1 The Transcendental Doctrine of Judgement
  • 4.2 Time-mediation
  • 4.3 Schemata and their faculty
  • 4.4 Schemata: images or concepts?
  • 4.5 The table of schemata
  • 4.6 Schemata as conditions of the significance of the pure concepts
  • 5.Debates over the schematism chapter in Kantian scholarship
  • 5.1 Main criticisms of the schematism chapter
  • 5.1.1 A redundant addition within the Critique of Pure Reason
  • a) Zschocke’s focus on the Transcendental Aesthetic
  • b) Curtius: the schematism chapter and § 24
  • 5.1.2 Schematism’s obscure terminology
  • a) Curtius: difficulties concerning the notion of subsumption
  • b) Walsh: schemata and concepts
  • c) Guyer: incongruences in the relation between categories and schemata
  • d) Allison: difficulties concerning the distinctions among faculties and the variety of schemata’s definitions
  • 5.1.3 The priority ascribed to time over space
  • a) Zschocke’s criticism of time as being the only mediating function
  • b) Walsh’s introduction of “organic” schemata
  • c) Guyer: Schemata and temporality
  • 5.2 In response to the criticisms of the schematism chapter
  • 5.2.1 The necessity of schematism in the Critique of Pure Reason
  • a) The distinction between the function of the Transcendental Deduction and the task of the schematism chapter
  • b) “Knowing that and knowing how”
  • 5.2.2 The obscurity of the chapter
  • a) Subsumption
  • b) “To be” and “to do”: defining schemata
  • c) The distinction between categories and forms of intuition
  • d) Categories and schemata
  • e) Schemata and principles
  • f) Schemata and ideas
  • g) Judgement and its role between reason and understanding
  • 5.2.3 Space and time
  • a) Time, at least
  • b) Dynamic schemata
  • c) Difficulties within Kant’s text
  • Part II: After Kant
  • 1.The philosophical reception and criticism of the schematism chapter
  • 1.1. The earliest receptions of Kant’s schematism chapter
  • 1.2. Idealism and post-Kantianism
  • 1.3. From the late nineteenth to the early twentieth century
  • 2.Kant’s distinction between philosophy and psychology
  • 2.1. Philosophy as a system of concepts
  • 2.2 Psychology: a doctrine of the inner sense
  • 2.3 Is Kant a transcendental psychologist?
  • 3.Kant’s notion of a schema in twentieth-century psychology
  • 3.1 Schema theories
  • 3.2 Frederic Bartlett
  • 3.2.1 A pioneer of applied psychology
  • 3.2.2 Experimental method
  • 3.2.3 The topics of experiments
  • 3.2.4 Remembering
  • 3.2.5 Schematic settings
  • 3.2.6 Meaning
  • 3.2.7 Conclusion
  • 3.3 Jean Piaget’s interpretation of Kant’s notion of a schema
  • 3.3.1 An interest in both theoretical and empirical studies
  • 3.3.2 A “philosophical shock”
  • 3.3.3 Piaget’s notion of schemata
  • 3.3.4 An example of a schema: the object
  • 3.3.5 Experience as an organisation through schemata. Piaget’s perspective between empiricism and apriorism
  • 3.3.6 Piaget’s novelty and difference from Kant’s view
  • 3.4 Lawrence Barsalou’s reception of Kant’s transcendental schematism
  • 3.4.1 Cognitive psychology
  • 3.4.2 Categorisation
  • 3.4.3 Modal theory versus amodal theory
  • 3.4.4 Properties
  • a) Neural representations
  • b) Schematic perceptual symbols
  • c) Multimodal symbols
  • d) Simulators
  • e) Frames
  • f) Linguistic indexing and control
  • 3.4.5 Barsalou and Kant
  • 3.4.6 Psychology and philosophy
  • Conclusion
  • Schema: the history of an idea
  • The function of schematism
  • Schematisms’s legacy between philosophy and psychology
  • New perspectives
  • Bibliography
  • Lists of abbreviations for classical works
  • Primary literature
  • Secondary literature
  • Online resources
  • List of figures
  • List of tables
  • Index
  • Series Index

Introduction

Main objectives of the study

The main aim of this book is to provide a critical and historical inquiry on Kant’s schematism chapter contained in the Critique of Pure Reason. More specifically, I am going to argue that Kant’s schematism chapter is a necessary step within the project of the Critique. It deals with a problem of its own, one which is not the object of the previous chapters: how can categories be applied to intuitions? I will show that the term ‘schema’ has an interesting and long tradition of different philosophical uses that finds in the works of Kant a point of no-return. In the philosophical works written before Kant, the notion of schema did not have a specific and distinctive meaning and function of its own but was rather used in different contexts (from rhetoric to logic to psychology). After Kant, all philosophers who speak of schemata refer in one way or another back to Kant’s distinctive notion, which possesses a specific, epistemic meaning. Moreover, I aim to provide a contribution to the understanding of the relation between philosophy and the sciences. I will do this by means of demonstrating the importance of the schematism chapter, not only within the Critique, but also from a broader perspective, deriving from the fact that Kant’s doctrine of schemata had an impressive influence not only on philosophers, but also on psychologists.

The project originates from the results obtained through my Master’s thesis about Kant’s notion of experience and the task Kant ascribes to philosophy, namely to deal with the conditions of possibility of experience and of sciences, limiting their domains. Particular disciplines sometimes use and find their claims on the basis of hidden assumptions (for instance through a definition of justice or of goodness) that, although at their basis, are not openly scrutinised. For example: physicists do not ask themselves what the meaning of expressions such as, “to make a discovery” or “atoms exist” is, or what the relation of the existence attributed to atoms and the existence of complex objects of everyday life is. Such problems are regarded exactly as the main aim of philosophy from a critical perspective: to clarify concepts for the purpose of checking or defending our epistemic judgements. A critical, philosophical attitude characterises those researchers who, when confronted with something puzzling (for example: the oar, which appears to be bent when held under the water, but is straight when held outside of it), rather than rejecting the problem, they try to analyse and ←15 | 16→clarify its underlying assumptions. In this example, the conflict between different kinds of perceptions remains (the oar held under the water and the oar outside of it; the sun that rises, although we know it does not actually do so), but the unity of experience is saved: there are not two worlds in opposition to each other (the “world where the sun rises” and the “world of physical theories”), because our apparently opposing claims are not absolute but have to be seen as standing within a field of reference, a framework of conditions of possibilities, which philosophy aims to bring to light.

From this standpoint, I have decided to devote my attention to Kant’s notion of schema, which has often been regarded as the most obscure topic of the Critique: “famous for its profound darkness, because nobody has ever been able to make anything out of it” (Schopenhauer 1819, p. 552, transl. R. B. Haldane & J. Kemp). In a similar way, Hegel refers to Kant’s artificial “[…] construction through lifeless schema” -“[…] Construction zum leblosen Schema” (Hegel 1968-, 7, p. 36, transl. L.S.) - and Herder regards ‘schema’ as “[…] a fictitious middle term between two vanished fictitious functions.” - “[…] dritte Fiktion zwischen zwei verschwundenen Fiktionen.” - (Herder 1799, p. 418, transl. L.S.). While many critics reject its importance and suggest that Kant’s schematism chapter is a redundant part of the Critique of Pure Reason, I believe that it is productive to apply the principle of charity in order to figure out the function Kant attributes to it. Most importantly, of the problem the schematism chapter aims at solving is this: what is the method of application of pure concepts to intuitions? It is one thing to possess a concept, or to know a rule; it is quite another thing to apply the concept and to recognise correctly the instances we can refer it to.

Moreover, I find that it is interesting and important to focus on the history of philosophical terms and problems that are related to non-philosophical disciplines. Philosophers often use terms that come from several fields of human experience and knowledge and provide them with new significance in accordance to the question they aim at solving, thus creating their own technical language. Kant gives to ‘schema’ (a term used before him in rhetoric, logic, and psychology) a particular meaning and uses it to solve an epistemological question whose origins are related to the philosophy of mathematics. But the problem of schematism is also a great example of the difficulties and importance of discriminating between fields of knowledge. Several authors before and especially after Kant have regarded schematism as a psychological rather than a philosophical topic; even Kant himself sometimes uses a psychological terminology in his discussions. Given this, what is the relation between philosophy and psychology? If they share topics (for instance, the problem of cognition), are ←16 | 17→they both necessary and separated disciplines? Why? Or should we revise our customary disciplinary distinction?

To investigate these questions, I intend to evaluate the function of the schematism chapter in the Critique of Pure Reason by means of: 1) an historical study of the uses of the term ‘schema’ before and after Kant, in order to show how it becomes a philosophically defined term, and how Kant arrives at his own problem of schematism; 2) achieving a critical definition of the notion of schema (as it is presented in the chapter of the Critique) in order to decide whether the introduction of schemata is a necessary step in Kant’s transcendental project, or a redundant addition to the pure forms of the sensibility and of the understanding; 3) the understanding of the legacy of Kant’s schemata focusing on the relation (if there is any) between transcendental schemata and related psychological and philosophical notions developed by his successors.

Method

During the development of this research, it became clear to me that the customary distinction between historical and critical methods is an oversimplification. Both are needed and mutually linked to one another. On the one hand, I carried out an historical inquiry on the philosophical uses of the concept of schema before and after Kant. Then, before considering the uses of the term within the Critique of Pure Reason, I researched whether Kant himself used the term in his pre-critical works. It is present only in two texts: the Nova Dilucidatio (1755) and the dissertation De mundi intelligibilis atque sensibilis forma et principiis (1770). Moreover, although Kant does not yet use the terminology of schematism, in Untersuchung über die Deutlichkeit der Grundsätze der natürlichen Theologie und der Moral (1764), relevant aspects of the problem of applying pure concepts to experience are already present. Finally, I focused on the legacy of Kant’s notion, not only by considering the main receptions among philosophers, but also stressing how three influential twentieth-century psychologists - Jean Piaget, Frederic Bartlett and Lawrence Barsalou - took up Kant’s terminology while refashioning the function of schemata to their own agendas. I have decided to enter this territory, since the concept of a schema has become a lively discussed topic within cognitive psychology, often with reference to Kant and equally often with misunderstandings of his own notion. It is important to rectify this reception of Kant, and it should help to clarify the relations between philosophy and psychology in this area.

In my historical analysis of the idea of schema, I have considered the aims of the texts inquired in order to understand meaning and function of ‘schema’ ←17 | 18→in each of them. For instance, in the passages of Kant’s works investigated here, the purposes of the author differ and because of this, ‘schema’ assumes different functions: from its metaphysical significance in the Nova Dilucidatio over its description as “outline” (AA II, p. 393) in the Dissertation of 1770 up to the manifold definitions present in the schematism chapter of the Critique of Pure Reason. From this perspective, these diversifications, although present in the texts of the same author, do not generate incoherence and any contradiction, because Kant’s aims in each of the passages considered are different. Besides, I show how he develops schematism from problems in the definition of mathematics (namely the problem of the application of pure concepts to experience) and how he comes to identify the solution to the problem of such an application with the notion of schema, that was used in texts of his predecessors and contemporaries such as Joachim Georg Darjes, Johann Nicolas Tetens and Christian Thomasius. In this inquiry concerning the origins of Kant’s schematism, I do not see a conflict or an alternative between historical and critical methods in philosophy, but a necessary and advantageous mutual engagement. Moreover, the notion of schema is a perfect example of how a notion of the past can be used to confront current problems concerning the notions of imaging and frames, the relation between cognitive functions and perception, or the tasks and limits of philosophy and psychology. The legitimacy of this historical and critical research is provided by the fact that there are theoretical similarities between the questions Kant investigates by referring to the notion of schema and by the references that later modern authors often make to Kant as their main interlocutor.

State of the art

Although Kant scholarship is notoriously plentiful, there are very few monographs exclusively dedicated to the problem of schematism (Califano 1968, Camartin 1971, Kang 1985, Gasperoni 2016, Fisher 2017). This topic still requires further analysis, and I will therefore hope to give a distinct contribution by contextualising Kant’s views, thus helping to better explain their meaning and their impact.

To inquire the different uses of ‘schema’ in the history of philosophy I have built on to the entries on ‘schema’, written by Werner Stegmaier and Theo Herrmann in the Historisches Wörterbuch der Philosophie (1992) and to the original texts of the authors here considered. Moreover, I have largely profited of the Kant-Lexikon, edited in 2015 by Marcus Willaschek, Jürgen Stolzenberg, Georg Mohr and Stefano Bacin, that provides the largest and most penetrating lexical reference on Kant. Classical commentaries on the schematism chapter ←18 | 19→are those of Smith 1918, Beck 1965a, Klemme 2004, and Paton 1936. Moreover, one of the most important contributions to the debate concerning the importance of the schematism chapter in the Critique of Pure Reason is given by the views presented in Cassirer 1922–57 and Cohen 1871: the former believes that it is useless, while the latter stresses the fundamental role of schemata. Another important contribution is given by de Vleeschauwer 1937, who declares that the doctrine of schematism can be explained only by referring to Kant’s distinction between two kinds of reason and experience, i.e. the difference between synthesis speciosa and intellectual synthesis presented in the second edition of the Critique of Pure Reason. Other fundamental studies are those of: Holzhey 1970, who distinguishes several notions of objects in the Critique, and Scaravelli 1968 and Barone 1958 with their contributions to understanding the relation between general and transcendental logic. Apart from these, six critical studies of the twentieth century will be considered in closer detail, namely: Zschocke 1907, Curtius 1914, Walsh 1957–58, Dahlstrom 1984, Guyer 2006 and Allison 2004. These interpreters have been chosen because they differ in tasks and approaches and are therefore perfect examples for showing how the schematism chapter, given its obscurities and difficulties, has generated a long-standing and lively debate, one that has not found a conclusive point yet. Moreover, I have decided to investigate and evaluate the direct and indirect references to Kant’s doctrine of schematism in his successors: from the earliest receptions of Maimon, Herder, Humboldt, through idealists and post-Kantians (Fichte, Schelling, Hegel, Herbart, Beneke, Schleiermacher, and Fries) to authors of the late nineteenth and early twentieth centuries (Dilthey, Nietzsche, Bergson, Husserl, Heidegger, Cassirer, Whitehead, Horkheimer, and Wittgenstein). Finally, I shall focus on the psychological receptions of the notion of schema. One of the distinctive aims of this dissertation is to provide an interpretation of schematism in consideration of the relation between transcendental philosophy and psychology. The background of this interest is the following. Famously, Strawson 1966 combines his analytical standpoint and his interest in the transcendental philosophy. According to Kitcher 1990, Strawson’s analytical account disregards the core of Kant’s inquiry, namely its “dark side”, which concerns his ubiquitous talk of cognitive faculties – such as sensibility, the understanding, imagination, reason, memory and so on - and which can offer important contributions for the development of psychological and interdisciplinary theories of cognition. Besides, while interest in Kant’s views on psychology has grown (e.g. Satura 1971; Hatfield 1992; Sturm 2001, 2009), more profound studies on the legacy of Kant’s schematism in psychology are scarce (Marshall 1995; Brook 2003; Wagoner 2013). I shall therefore look closely at the psychological studies that established the interest in schema ←19 | 20→theories and that were, directly or indirectly, influenced by Kant: namely those of Piaget, Bartlett and Barsalou. I will evaluate them against the background of my interpretation of the schematism chapter.

Structure

This dissertation is divided into two main parts. In the first part, the opening chapter focuses on the meanings of the notion of schema before Kant, while the second is devoted to the pre-critical meaning of the notion of schema in the Nova Dilucidatio and in the Dissertation from 1770. The third chapter aims at providing a broad overview of the preliminaries chapters to the schematism chapter in the Critique of Pure Reason, namely the Transcendental Aesthetic and the Transcendental Deduction; the fourth consists in an analysis of the chapter about schematism, while the fifth aims at considering the interpretations of Zschocke, Curtius, Walsh, Dahlstrom, Guyer and Allison, in order to determine the function of this controversial chapter.

The opening chapter of the second part provides a short overview of the philosophical legacy of Kant’s schematism, by considering the receptions of Kant’s doctrine among idealists, post-Kantians and philosophers of the late nineteenth and early twentieth centuries such as Bergson, Husserl, Heidegger, Whitehead and Wittgenstein. The second chapter focuses on Kant’s distinction between philosophy (in which the notion of schema assumes a fundamental role) and psychology and on Kitcher’s interpretation of Kant’s doctrine as a transcendental psychology, while the third concerns the psychological legacy of Kant’s schematism, focusing on the schema theories and the thoughts of Piaget, Bartlett and Barsalou.←20 | 21→

Details

Pages
294
Year
2020
ISBN (PDF)
9783631821442
ISBN (ePUB)
9783631821459
ISBN (MOBI)
9783631821466
ISBN (Hardcover)
9783631804384
DOI
10.3726/b16942
Language
English
Publication date
2020 (March)
Keywords
Function of schemata Reception of Kant's schematism Psychological interpretations Philosophical criticisms Understanding and sensibility
Published
Berlin, Bern, Bruxelles, New York, Oxford, Warszawa, Wien, 2020. 294 pp., 5 fig. b/w, 2 tables.

Biographical notes

Lara Scaglia (Author)

After her master’s studies in Milan, Lara Scaglia completed her PhD at the Universitat Autònoma de Barcelona (UAB), Spain, under the supervision of professor Thomas Sturm. She collaborated with the Centre d‘Història de la Ciència (CEHIC) and was a visiting fellow at the Collaborative Research Centre SFB 991 ‚The Structure of Representations in Language, Cognition, and Science‘ at Heinrich-Heine-Universität Düsseldorf, Germany, and a postdoc DAAD fellow at the Goethe University Frankfurt, Germany.

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Title: Kant's Notion of a Transcendental Schema
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296 pages