This paper presents an analysis of Seneca's 58th letter to Lucilius and Porphyry's Isagoge, which were the origin of the tree diagrams that became popular in philosophy and logic from the early Middle Ages onwards. These diagrams visualise the extent to which a concept can be understood as a category, genus, species or individual and what the method of dihairesis (division) means. The paper explores the dissimilarities between Seneca's and Porphyry's tree structures, scrutinising them through the perspective of modern graph (...) theory. Although traditional trees can be interpreted in a modern way, their terms and definitions defy modern standardisation. These distinctions are not only useful for differentiating between Seneca's and Porphyry's trees, but also for comprehending the evolution of this philosophical tradition. Thus the paper highlights the continued significance of these tree diagrams in analysing concepts and categories in philosophy and structuring objects and information in modern fields such as artificial intelligence, computer science, bioinformatics, graph theory, and many more. (shrink)

In Kant’s Critique of Pure Reason and the Method of Metaphysics (CUP 2023), I argue that the first Critique is not only a ‘propaedeutic’ to metaphysics, but actually already establishes parts of metaphysics. These parts belong to what Kant calls transcendental philosophy. Additionally, I also provide an account of Kant’s critique of dogmatism and Wolff as its main defender. In this paper, I take up Luigi Filieri’s and Davide Dalla Rosa’s invitation to further develop my characterization of transcendental philosophy and (...) I respond to Michael Walschots’s objections against my interpretation of Kant’s critique of Wolff’s dogmatism. (shrink)

In this article, I re-examine Kant’s many senses of cognition, thought, and object in order to better understand his account of logic, and, in particular, transcendental logic. In laying out the multiple and conflicting ways Kant defines each of those terms, the relation between transcendental logic and pure general logic can be revealed as analogous to, and, indeed, linked to, the isomorphism that exists between the categories of the understanding and the logical forms of judgment, which are equivalent if one (...) ignores the manifold of intuition. This means transcendental logic is a general logic, even as a logic of (some) cognizing. (shrink)

This essay considers Kant’s theory of modality in light of a debate in contemporary modal metaphysics and modal logic concerning the Barcan formulas. The comparison provides a new and fruitful perspective on Kant’s complex and sometimes confusing claims about possibility and necessity. Two central Kantian principles provide the starting point for the comparison: that the possible must be grounded in the actual and that existence is not a real predicate. Both are shown to be intimately connected to the Barcan formulas, (...) and Kant’s views on what he distinguishes as three different kinds of modality are then considered in light of this connection. (shrink)

European Journal of Philosophy, Volume 29, Issue 4, Page 988-1009, December 2021.

A critical discussion of Lu-Adler's chapter on Kant's mature view of pure general logic. I sketch an alternative interpretation of its formality on which Kant would hold no deduction is possible of this logic's laws.

This paper defends Kant against a neo‐Hegelian line of criticism, recently advanced by John McDowell, Robert Pippin, and Sebastian Rödl, targeting Kant's alleged claim that forms of sensibility other than space and time are possible. If correct, the criticism identifies a deep problem in Kant's position and points toward Hegel's position and method as its natural solution. I show that Kant has the philosophical resources to respond effectively to the criticism, notably including the set of claims about the limits of (...) meaningful thought that P. F. Strawson calls Kant's “principle of significance.” By Kant's lights, first, the concept “non‐spatio‐temporal form of sensibility” is meaningless, so he cannot meaningfully grant that such a form is possible; and second, there is no need to prove (e.g., from reflection on pure intellect) that non‐spatio‐temporal forms of sensibility are impossible, because insofar as the concept “knowing” means anything, that meaning is provided by our own always‐already‐spatio‐temporal case. An upshot of the argument is that Kant's two “stems” of knowledge or cognition, sensibility and understanding, are merely aspects of a single epistemic capacity rather than each a separate capacity in its own right. Many today are unwilling to take Kant's claims about the limits of meaningful thought at face value, notwithstanding their ubiquity and explicitness. This paper is therefore an indirect argument on behalf of that dimension of Kant's position: We have something significant to lose in not taking it seriously. (shrink)

Frege claims that the laws of logic are characterized by their “generality,” but it is hard to see how this could identify a special feature of those laws. I argue that we must understand this talk of generality in normative terms, but that what Frege says provides a normative demarcation of the logical laws only once we connect it with his thinking about truth and science. He means to be identifying the laws of logic as those that appear in every (...) one of the scientific systems whose construction is the ultimate aim of science, and in which all truths have a place. Though an account of logic in terms of scientific systems might seem hopelessly antiquated, I argue that it is not: a basically Fregean account of the nature of logic still looks quite promising. (shrink)

Each of Kant’s three Critiques offers an account of the nature of a mental faculty and arrives at this account by means of a procedure I call ‘faculty analysis’. Faculty analysis is often regarded as among the least defensible aspects of Kant’s position; as a consequence, philosophers seeking to inherit Kantian ideas tend to transpose them into a different methodological context. I argue that this is a mistake: in fact faculty analysis is a live option for philosophical inquiry today. My (...) argument is as follows: Faculty analysis is a live option for certain kinds of philosophical theories if so-called “agentialist” views about the nature of belief are correct. There are good reasons for thinking that such views are correct. So faculty analysis should not be dismissed out of hand. Since the first premise in this argument bears a lot of weight, a large part of the paper is devoted to clarifying and defending it, in part by arguing that Kant himself holds a version of agentialism about belief. (shrink)

The Role of the Notion of Truth in the Project of Kant’s Critical Philosophy [English] The discussion about Kant’s theory of truth usually revolves around his ascription to some version of the coherence or correspondence theory of truth, and the matching criteria of truth. These discussions often deliberate which theory of truth is most appropriate given the critical principles. Instead, this paper aims to exhibit, through the evolution of Kant’s notion of truth in his precritical years and through the project (...) of a transcendental logic, the intrinsic relation between the notion of truth and the very principles of critical philosophy; and to raise again the questions about the definition and the criteria of truth, but in the framework of the question of the possibility of truth. [Español] La discusión en torno a la teoría kantiana de la verdad suele girar alrededor de las preguntas —íntimamente relacionadas entre sí— por la adscripción de Kant a una versión coherentista o correspondentista de la verdad y por los correspondientes criterios de verdad. Estas discusiones suelen ponderar qué teoría de la verdad resulta más adecuada dados ya los principios críticos. En contraste con esto, este trabajo pretende mostrar, a través de la evolución de la noción de verdad del Kant precrítico y del proyecto de una lógica trascendental, la vinculación intrínseca de la noción de verdad con los principios mismos de la filosofía crítica, y replantear las preguntas por la definición y el criterio de verdad en el marco de la pregunta por la posibilidad de la verdad. (shrink)

It is commonly thought that the distinction between subjectively valid judgements of perception and objectively valid judgements of experience in the Prolegomena is not consistent with the account of judgement Kant offers in the B Deduction, according to which a judgement is ‘nothing other than the way to bring given cognitions to the objective unity of apperception’. Contrary to this view, I argue that the Prolegomena distinction maps closely onto that drawn between the mathematical and dynamical principles in the System (...) of Principles: Kant’s account of the Prolegomena distinction strongly suggests that it is the Analogies of Experience that make it possible for judgements of perception to give rise to judgements of experience. This means that judgements of perception are objectively valid with regard to the quantity and quality of objects, and subjectively valid with regard to the relation they posit between objects. If that is the case, then the notion of a judgement of perception is consistent with the B Deduction account of judgement. (shrink)

The importance of the pure concepts of the understanding (i.e. the categories) within Kant’s system of philosophy is undeniable. As I hope to make clear in this essay, however, the categories are also an essential part of Kant’s critique of Christian Wolff. In particular, I argue that Kant’s development of the categories represents a decisive break with the Wolffian conception of the understanding and that this break is central to understanding the task of the Transcendental Analytic. This break, however, is (...) not merely that Kant affirms while Wolff and his followers deny a sharp distinction between sensibility and the understanding, which is the aspect of Kant’s rejection of Wolff that scholars most frequently note. Rather, this break concerns differences in their views about the understanding itself. For while Wolff conceives of the understanding as a mental capacity to extract and make distinct content already present in the senses, Kant conceives of the understanding in its “real use” as a capacity to produce purely intellectual content. (shrink)

The paper argues that much of the difficulty with making progress on the issue of the normativity of logic for thought, as discussed in the literature, stems from a misapprehension of what logic is normative for. The claim is that, rather than mono-agent mental processes, logic in fact comprises norms for quite specific situations of multi-agent dialogical interactions, in particular special forms of debates. This reconceptualization is inspired by historical developments in logic and mathematics, in particular the pervasiveness of such (...) dialogical conceptions in the early days of logic in ancient Greece. The multi-agent, dialogical perspective then allows for the formulation of compelling 'bridge principles’ between the relation of logical consequence and dialogical normative principles, something that is notoriously difficult to achieve in a mono-agent setting pertaining exclusively to thought and belief. The upshot is also that the truth-preserving rules of logic generally do not have a primary normative bearing on mono-agent mental processes, and in this sense the paper sides with Harman's critique of the idea that logic has a normative import for thought and belief. (shrink)

This paper offers a novel solution to the long-standing puzzle of why the Canon of Pure Reason maintains, in contradiction to Kant’s position elsewhere in the first Critique, both that practical freedom can be proved through experience, and that the question of our transcendental freedom is properly bracketed as irrelevant in practical matters. The Canon is an a priori investigation of our most fundamental practical capacity. It is argued that Kant intends its starting point to be explanatorily independent of transcendental (...) logic and the ontic more generally, an independence that would be compromised if transcendental freedom were included in that starting point, even in a mode of supposition. In a different sense, however, practical reason precisely is dependent on the ontic: it can be realized only in beings. This species of dependence is used to explain the puzzling claim that practical freedom can be experienced. (shrink)

The book addresses two main areas of Kant’s theoretical philosophy: the doctrine of transcendental idealism and various central aspects of the arguments from the Metaphysical and Transcendental Deductions, as well as the relation between the deduction argument and idealism. -/- Among the topics covered are the nature of objective validity, the role and function of transcendental logic in relation to general or formal logic, the possibility of contradictory thoughts, the meaning of the Leitfaden at A79 and the unity of cognition, (...) the two-steps-in-one-proof interpretation and categorial instantiation, categorial illusion, Strawson’s transcendental argument, the persistently perplexing question of the derivation of the categories, and the relation between apperception, objectivity, judgement, and idealism. -/- With regard to idealism in particular, the focus is on the metaphysical two-aspect interpretation and its problems, on the merits and demerits of the controversial phenomenalist reading of Kant’s idealism, and on the topic of subjectivism and epistemic humility. -/- In all of the aforementioned topics, the book presents wholly novel interpretations compared to the standard or mainstream interpretations. (shrink)

In A Theory of Justice (1971), John Rawls introduces the concept of “reflective equilibrium.” Although there are innumerable references to and discussions of this concept in the literature, there is, to the present author's knowledge, no discussion of the most important question: Why reflective equilibrium? In particular, the question arises: Is the method of reflective equilibrium applicable to the choice of this method itself? Rawls's drawing of parallels between Kant's moral theory and his own suggests that his concept of “reflective (...) equilibrium” is on a par with Kant's concept of “transcendental deduction.” Treating these two approaches to justification as paradigmatic, I consider their respective merits in meeting the reflexive challenge, i.e., in offering a justification for choice of mode of justification. In the first part of this enquiry (Eng 2014a), I raised the issue of the reflexivity of justification and questioned whether the reflexive challenge can be met within the framework of A Theory of Justice. In the second part (Eng 2014b), I outlined a Kantian approach that represents a paradigmatic alternative to Rawls. In this third and final part, I shall argue that Rawls's reflective equilibrium cannot justify the choice of itself and that in the broader perspective thus necessitated, we cannot escape the metaphysical issues integral to the Kantian approach. (shrink)

It is well known that the notion of transcendental logic has a prominent role in both Kant’s and Husserl’s theories of knowledge. The main aim of the present paper is to study the links between formal and transcendental logic in Husserl on the one hand, and the links between general logic and transcendental logic in Kant on the other. There is a debate about the proper relation between transcendental logic and general logic in Kant’s philosophy. By means of our definition (...) of transcendental logic, mainly drawn from Husserl’s analyses, we will try to offer an appropriate interpretation of Kant’s view. (shrink)

This paper aims to elucidate the Kantian notion of the “concept of an object in general”. In a passage from the Critique of Pure Reason, Kant offers a clue to this by indicating that the categories are the concepts that define the object in general. This paper seeks to clarify the notion of “concept of an object in general” by analyzing how the relationship between categories and the object is to be understood. For this, it first explains the Kantian doctrine (...) of conceptual inclusion and of the highest genus, and relates it to the notion at hand. Secondly, it investigates the way in which the relationship between the concept of an object in general and the categories is to be understood, based on the aforementioned passage of the First Critique. Finally, it shows the role that referentiality plays in the way that this concept and its relation with the categories should be understood. (shrink)