Kant on empiricism and rationalism

This paper aims to correct some widely held misconceptions concerning Kant's role in the formation of a widespread narrative of early modern philosophy. According to this narrative, which dominated the English-speaking world throughout the twentieth century, the early modern period was characterized by the development of two rival schools: René Descartes's, Baruch Spinoza's, and G. W. Leibniz's rationalism; and John Locke's, George Berkeley's, and David Hume's empiricism. Empiricists and rationalists disagreed on whether all concepts are derived from experience and whether humans can have any substantive a priori knowledge, a priori knowledge of the physical world, or a priori metaphysical knowledge. The early modern period came to a close, so the narrative claims, once Immanuel Kant, who was neither an empiricist nor a rationalist, combined the insights of both movements in his new Critical philosophy. In so doing, Kant inaugurated the new eras of German idealism and late modern philosoph

A Correspondence Theory of Objects? On Kant's Notions of Object, Truth, and Actuality

Ernst Cassirer claimed that Kant's notion of actual object presupposes the notion of truth. Therefore, Kant cannot define truth as the correspondence of a judgment with an actual object. In this paper, I discuss the relations between Kant's notions of truth, object, and actuality. I argue that Kant's notion of actual object does not presuppose the notion of truth. I conclude that Kant can define truth as the correspondence of a judgment with an actual object

Kant on truth-aptness

Many scholars claimed that, according to Immanuel Kant, some judgements lack a truth-value: analytic judgements, judgements about items of which humans cannot have experience, judgements of perception, and non-assertoric judgements. However, no one has undertaken an extensive examination of the textual evidence for those claims. Based on an analysis of Kant's texts, I argue that: (1) according to Kant, only judgements of perception are not truth-apt. All other judgements are truth-apt, including analytic judgements and judgements about items of which humans cannot have experience. (2) Kant sometimes states that truth-apt judgements are actual bearers of truth or falsity only when they are taken to state what is actually the case. Kant calls these judgements assertoric. Other texts ascribe truth and falsity to judgements, regardless of whether they are assertoric. Kant's views on truth-aptness raise challenges for correspondentist and coherentist interpretations of Kant's theory of truth; they rule out the identification of Kant's crucial notion of objective validity with truth-aptness; and they imply that Kant was not a verificationist about truth or meaning

Kant and abstractionism about concept formation

This chapter outlines Kant’s account of empirical concept formation and discusses two objections that have been advanced against it. Kant holds that we form empirical concepts, such as colour concepts, by comparing sensory representations of individuals, identifying shared features, and abstracting from the differences between them. According to the first objection, we cannot acquire colour concepts in this way because there is no feature that all and only the instances of a given colour share and the boundary between colours is conventional. According to the second objection, assuming that all instances of a given colour share certain features, we can identify them only if we already possess a concept of that colour. None of the two objections is convincing as it stands. Kant can offer replies to both objections that are consistent with his views and with empirical evidence concerning the perception and representation of colours

Christian Wolff and experimental philosophy

This chapter discusses the relation between Christian Wolff's philosophy and the methodological views of early modern experimental philosophers. The chapter argues for three claims. First, Wolff's system relies on experience at every step and his views on experiments, observations, hypotheses, and the a priori are in line with those of experimental philosophers. Second, the study of Wolff's views demonstrates the influence of experimental philosophy in early eighteenth-century Germany. Third, references to Wolff's empiricism and rationalism are best identified or replaced with references to his endorsement of the tenets of experimental philosophers and of a mathematical demonstrative method

Introduction

The articles in the symposium “Teaching Early Modern Philosophy: New Approaches” provide theoretical reflections and practical advice on new ways of teaching undergraduate survey courses in early modern philosophy. This introduction lays out the rationale for the symposium and summarizes the articles that compose it

Kant’s false subtlety of the four syllogistic figures in its intellectual context

This chapter discusses the relation between Kant’s views on the foundations of syllogistic inference in ‘The False Subtlety of the Four Syllogistic Figures’, the views of eighteenth-century German authors who wrote on syllogism, and the conception of metaphysics that Kant developed in 1762-1764. Kant’s positions are, on the whole, rather original, even though they are not as independent from the intellectual context as Kant’s later, Critical philosophy. Despite Kant’s polemical tone, his views on syllogism are not primarily motivated by polemical purposes. They are strongly influenced by his views on the method of metaphysics

The origins of early modern experimental philosophy

This paper argues that early modern experimental philosophy emerged as the dominant member of a pair of methods in natural philosophy, the speculative versus the experimental, and that this pairing derives from an overarching distinction between speculative and operative philosophy that can be ultimately traced back to Aristotle. The paper examines the traditional classification of natural philosophy as a speculative discipline from the Stagirite to the seventeenth century; medieval and early modern attempts to articulate a scientia experimentalis; and the tensions in the classification of natural magic and mechanics that led to the introduction of an operative part of natural philosophy in the writings of Francis Bacon and John Johnston. The paper concludes with a summary of the salient discontinuities between the experimental/speculative distinction of the mid-seventeenth century and its predecessors and a statement of the developments that led to the ascendance of experimental philosophy from the 1660s

An algorithm for constructing certain differential operators in positive characteristic

Given a non-zero polynomial $f$ in a polynomial ring $R$ with coefficients in a finite field of prime characteristic $p$, we present an algorithm to compute a differential operator $\delta$ which raises $1/f$ to its $p$th power. For some specific families of polynomials, we also study the level of such a differential operator $\delta$, i.e., the least integer $e$ such that $\delta$ is $R^{p^e}$-linear. In particular, we obtain a characterization of supersingular elliptic curves in terms of the level of the associated differential operator.Comment: 23 pages. Comments are welcom

Introduction

The articles in the special issue ‘Experience in natural philosophy and medicine’ discuss the roles and notions of experience in the works of a range of early modern authors, including Galileo Galilei, Francis Bacon, the Dutch atomist David Gorlaeus, William Harvey, and Christian Wolff. The articles extend the evidential basis on which we can rely to identify trends, changes and continuities in the roles and notions of experience in the period of the Scientific Revolution. The articles also shed light on the longstanding influence of traditional views and the emergence of early modern experimental philosophy. This introduction highlights the benefits of considering medicine in connection with natural philosophy when studying early modern views on experience and summarizes the articles