Let me start with a well-known story. Kant held that logic and conceptual analysis alone cannot account for our knowledge of arithmetic: “however we might turn and twist our concepts, we could never, by the mere analysis of them, and without the aid of intuition, discover what is the sum [7+5]” (KrV, B16). Frege took himself to have shown that Kant was wrong about this. According to Frege’s logicist thesis, every arithmetical concept can be defined in purely logical terms, and (...) every theorem of arithmetic can be proved using only the basic laws of logic. Hence, Kant was wrong to think that our grasp of arithmetical concepts and our knowledge of arithmetical truth depend on an extralogical source—the pure intuition of time (Frege 1884, §89, §109). Arithmetic, properly understood, is just a part of logic. (shrink)

Early twentieth-century philosophers of perception presented their naïve realist views of perceptual experience in anti-Kantian terms. For they took naïve realism about perceptual experience to be incompatible with Kant’s claims about the way the understanding is necessarily involved in perceptual consciousness. This essay seeks to situate a naïve realist account of visual experience within a recognisably Kantian framework by arguing that a naïve realist account of visual experience is compatible with the claim that the understanding is necessarily involved in the (...) perceptual experience of those rational beings with discursive intellects. The resultant view is middle way between recent conceptualist and non-conceptualist interpretations of Kant, holding that the understanding is necessarily involved in the kind of perceptual consciousness that we, as rational beings, enjoy whilst allowing that the relations of apprehension which constitute perceptual consciousness are independent of acts of the understanding. (shrink)

One of the central debates in contemporary Kant scholarship concerns whether Kant endorses a “conceptualist” account of the nature of sensory experience. Understanding the debate is crucial for getting a full grasp of Kant's theory of mind, cognition, perception, and epistemology. This paper situates the debate in the context of Kant's broader theory of cognition and surveys some of the major arguments for conceptualist and non-conceptualist interpretations of his critical philosophy.

Fichte assigns ‘intellectual intuition’ a new meaning after Kant. But in 1799, his doctrine of intellectual intuition is publicly deemed indefensible by Kant and nihilistic by Jacobi. I propose to defend Fichte’s doctrine against these charges, leaving aside whether it captures what he calls the ‘spirit’ of transcendental idealism. I do so by articulating three problems that motivate Fichte’s redirection of intellectual intuition from being to acting: (1) the regress problem, which states that reflecting on empirical facts of consciousness leads (...) only to further facts and so cannot yield a first principle; (2) the rhapsody problem, which states that the categories form a haphazard set and so lack necessity unless they derive from a first principle; and (3) the nihilism problem, which states that a first principle cannot lie outside our cognition of it, lest it be the cause of our cognition and, being first, the cause of all our actions, reducing us to machines. Crucially, Fichte’s three motivating problems are in fact aspects of a single problem. Leaving any aspect unsolved spoils putative solutions to the other two. Consequently, Fichte requires a single unified solution to all three, which his doctrine of intellectual intuition provides. (shrink)

Logic is usually thought to concern itself only with features that sentences and arguments possess in virtue of their logical structures or forms. The logical form of a sentence or argument is determined by its syntactic or semantic structure and by the placement of certain expressions called “logical constants.”[1] Thus, for example, the sentences Every boy loves some girl. and Some boy loves every girl. are thought to differ in logical form, even though they share a common syntactic and semantic (...) structure, because they differ in the placement of the logical constants “every” and “some”. By contrast, the sentences Every girl loves some boy. and Every boy loves some girl. are thought to have the same logical form, because “girl” and “boy” are not logical constants. Thus, in order to settle questions about logical form, and ultimately about which arguments are logically valid and which sentences logically true, we must distinguish the “logical constants” of a language from its nonlogical expressions. (shrink)

It's well-known that Kant believed that intuition was central to an account of mathematical knowledge. What that role is and how Kant argues for it are, however, still open to debate. There are, broadly speaking, two tendencies in interpreting Kant's account of intuition in mathematics, each emphasizing different aspects of Kant's general doctrine of intuition. On one view, most recently put forward by Michael Friedman, this central role for intuition is a direct result of the limitations of the syllogistic logic (...) available to Kant. On this view, Kant's reasons for introducing intuition are taken to be logical or mathematical, rather than philosophical. The other tendency, which I shall try to develop here, emphasizes an epistemological or phenomenological role for intuition in mathematics arising out of what may loosely be called Kant's ‘antiformalism.’This paper, which focuses specifically on the case of geometry, falls into two parts. First, I consider Kant's discussion of intuition in the Metaphysical Exposition of the concept of space. (shrink)

This paper defends an interpretation of the representational function of sensation in Kant's theory of empirical cognition. Against those who argue that sensations are ?subjective representations? and hence can only represent the sensory state of the subject, I argue that Kant appeals to different notions of subjectivity, and that the subjectivity of sensations is consistent with sensations representing external, spatial objects. Against those who claim that sensations cannot be representational at all, because sensations are not cognitively sophisticated enough to possess (...) intentionality, I argue that Kant does not use the term ?Vorstellung? to refer to intentional mental states exclusively. Sensations do not possess their own intentionality, but they nevertheless perform a representational function in virtue of their role as the matter of empirical intuition. In empirical intuition, the sensory qualities given in sensation are combined with the representation of space to constitute the intuited appearance. The representational function of sensation consists in sensation being the medium out of which intuited appearances are constituted: the qualities of sensations stand in for what the understanding will judge (conceptualize) as material substance. (shrink)

This paper gives an interpretation of Kant's argument for transcendental idealism in the Transcendental Aesthetic. I argue against a common way of reading this argument, which sees Kant as arguing that substantive a priori claims about mind-independent reality would be unintelligible because we cannot explain the source of their justification. I argue that Kant's concern with how synthetic a priori propositions are possible is not a concern with the source of their justification, but with how they can have objects. I (...) argue that Kant's notion of intuition needs to be understood as a kind of representation which involves the presence to consciousness of the object it represents, and that this means that a priori intuition cannot present us with a mind-independent feature of reality. (shrink)

In this paper I offer an interpretation of Kant’s theory of perceptual error based on his remarks in the Anthropology. Both hallucination and illusion, I argue, are for Kant species of experience and therefore require the standard co-operation of sensibility and understanding. I develop my account in a conceptualist framework according to which the two canonical classes of non-veridical experience involve error in the basic sense that how they represent the world as being is not how the world is. In (...) hallucination this is due to the misapplication of categories and in illusion to the misapplication of empirical concepts. Yet there is also room in this framework for a distinction in terms of cognitive functionality between the level of experience, which is merely judgementally structured, and that of judgement proper, which involves the free action of a conscious agent. This distinction enables Kant to allow for the otherwise problematic phenomenon of self-aware non-veridicality. (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)

At A71/B96–7 Kant explains that singular judgements are ‘special’ because they stand to the general ones as Einheit to Unendlichkeit. The reference to Einheit brings to mind the category of unity and hence raises a spectre of circularity in Kant’s explanation. I aim to remove this spectre by interpreting the Einheit-Unendlichkeit contrast in light of the logical distinctions among universal, particular and singular judgments shared by Kant and his logician predecessors. This interpretation has a further implication for resolving a controversy (...) over the correlation between the logical moments of quantity (universal, particular, singular) and the categorial ones (unity, plurality, totality). (shrink)

Kant is well known for his restrictive conception of proper science. In the present paper I will try to explain why Kant adopted this conception. I will identify three core conditions which Kant thinks a proper science must satisfy: systematicity, objective grounding, and apodictic certainty. These conditions conform to conditions codified in the Classical Model of Science. Kant’s infamous claim that any proper natural science must be mathematical should be understood on the basis of these conditions. In order to substantiate (...) this reading, I will show that only in this way it can be explained why Kant thought (1) that mathematics has a particular foundational function with respect to the natural sciences and (2) as such secures their scientific status. (shrink)

The paper assesses Martin's recent logico-phenomenological account of judgment that is cast in the form of an eclectic history of judging, from Hume and Kant through the 19th century to Frege and Heidegger as well as current neuroscience. After a preliminary discussion of the complex unity and temporal modalities of judgment that draws on a reading of Titian's "Allegory of Prudence" , the remainder of the paper focuses on Martin's views on Kant's logic in general and his theory of singular (...) existential judgment in particular. The paper argues against Martin's key claims of the primacy of formal logic over transcendental logic and of the synthetic nature of judgment in Kant. It also takes issue with each of the four interpretations of singular existential judgment in Kant offered by Martin: existence as logical predicate, as copula, as thesis and as logical subject. (shrink)

The aggregate EIRP of an N-element antenna array is proportional to N 2. This observation illustrates an effective approach for providing deep space networks with very powerful uplinks. The increased aggregate EIRP can be employed in a number of ways, including improved emergency communications, reaching farther into deep space, increased uplink data rates, and the flexibility of simultaneously providing more than one uplink beam with the array. Furthermore, potential for cost savings also exists since the array can be formed using (...) small apertures. (shrink)

It is often maintained that one insight of Kant's Critical philosophy is its recognition of the need to distinguish accounts of knowledge acquisition from knowledge justification. In particular, it is claimed that Kant held that the detailing of a concept's acquisition conditions is insufficient to determine its legitimacy. I argue that this is not the case at least with regard to geometrical concepts. Considered in the light of his pre-Critical writings on the mathematical method, construction in the Critique can be (...) seen to be a form of concept acquisition, one that is related to the modal phenomenology of geometrical judgement. (shrink)

In recent years non-conceptual content theorists have taken Kant as a reference point on account of his notion of intuition (§§ 1-2). The present work aims at exploring several complementary issues intertwined with the notion of non-conceptual content: of these, the first concerns the role of the intuition as an indexical representation (§ 3), whereas the second applies to the presence of a few epistemic features articulated according to the distinction between knowledge by acquaintance and knowledge by description (§ 4). (...) This work intends to dismiss the possibility that intuition may have an autonomous function of de re knowledge in support of an interpretative reading which can be labelled as weak conceptualism. To this end, the exploration will be conducted from a strictly transcendental perspective – i.e., by referring to the so called theory of the “concept of a transcendental object”. (shrink)

Kant's distinction between analytic and synthetic method is connected to the so-called Aristotelian model of science and has to be interpreted in a (broad) directional sense. With the distinction between analytic and synthetic judgments the critical Kant did introduced a new way of using the terms 'analytic'-'synthetic', but one that still lies in line with their directional sense. A careful comparison of the conceptions of the critical Kant with ideas of the precritical Kant as expressed in _Ãœber die Deutlichkeit, leads (...) to the interpretation defended here of Kant's distinction between analytic and synthetic judgments within his philosophy of mathematics. (shrink)

This paper outlines the history of the distinction between a higher and a lower cognitive function up to Kant. It is argued that Kant initially drew the distinction in Scholastic terms--as a distinction between a capacity to image particulars and a capacity to represent universals. However, features of his project in the Critique led him to reformulate the distinction in terms of immediacy and mediacy. Nonetheless, for certain purposes the older, Scholastic distinction retained its attractiveness, and this is the ground (...) for much of the subsequent difficulty with his account of intuitions and concepts. (shrink)

This review of contemporary discussions of Kantian philosophy of mathematics is timed for the publication of the essay Kant’s Philosophy of Mathematics. Volume 1: The Critical Philosophy and Its Roots (2020) edited by Carl Posy and Ofra Rechter. The main discussions and comments are based on the texts contained in this collection. I first examine the more general questions which have to do not only with the philosophy of mathematics, but also with related areas of Kant’s philosophy, e. g. the (...) question: What is intuition and singular term? Then I look at more specific questions, e. g.: What is the subject of arithmetic and what is the significance of diagrams in mathematical reasoning? As a result, the reader is presented with a fairly complete overview of modern discussions which can be used as an introduction to the problem field of Kant’s philosophy of mathematics. (shrink)

Hegel had taken the Kantian categories of thought to be merely formal, without content, since, he argued, Kant abstracted the conditions of thought from the world. The Kantian categories can, as such, only be understood subjectively and so are unable to secure a content for themselves. Hegel, following Fichte, tried to provide a content for the logical categories. In order to reinstate an objective status for logic and conceptuality he tries to affirm the unity of thought and being. The idea (...) that this unity is established by reinstating a pre-Kantian metaphysics has in most of the recent Hegel literature been discredited. In the wake of this non-metaphysical Hegel there is a concern that the architectonic of concepts which is taken as the organizing principle of consciousness offers an account of experience which is too schematic. While Hegel disputes the intuition/concept distinction as it is played out in Kant and Fichte, he does nevertheless retain some residue of a notion of intuition in his theory of the Concept. This is central to understanding his notion of experience as it can't simply be equated with rule governed conceptuality. Satisfying the demands of reason for Hegel requires more than conceiving our experience solely as judgments. (shrink)

As is well known, the linguistic/philosophical reflection on natural kind terms has undergone a remarkable development in the early seventies with Putnam and Kripke’s essentialist approaches, touching upon different aspects of Kan’s slant. Preliminarily, however, it might be useful to review some of the theoretical stages in Locke and Leibniz’s approaches on natural kind terms in the light of contemporary reflections, to eventually pinpoint Kant’s contribution and see how some commentators have placed it within the theory of direct reference. Starting (...) with textual evidence even from the logical corpus, in the present essay I will attempt to discuss some of the arguments dismissing Kant’s adherence to this view. These assume that in his approach to the semantics of natural kind Kant appears to be still holding on to a nominalist/conceptualist position, though he seems to be well aware of a few key issues for the theorists of direct reference. (shrink)

What is central to the progression of a sequence is the idea of succession, which is fundamentally a temporal notion. In Kant's ontology numbers are not objects but rules (schemata) for representing the magnitude of a quantum. The magnitude of a discrete quantum 11...11 is determined by a counting procedure, an operation which can be understood as a mapping from the ordinals to the cardinals. All empirical models for numbers isomorphic to 11...11 must conform to the transcendental determination of time-order. (...) Kant's transcendental model for number entails a procedural semantics in which the semantic value of the number-concept is defined in terms of temporal procedures. A number is constructible if and only if it can be schematized in a procedural form. This representability condition explains how an arbitrarily large number is representable and why Kant thinks that arithmetical statements are synthetic and not analytic. (shrink)

Standard interpretations of Kant’s transcendental idealism take it as a commitment to the view that the objects of cognition are structured or made by conditions imposed by the mind, and therefore to what Van Cleve calls “honest-to-God idealism”. Against this view, many more recent investigations of Kant’s theory of representation and cognitive significance have been able to show that Kant is committed to a certain form of Mental Content Externalism, and therefore to the realist view that the objects involved in (...) experience and empirical knowledge are mind-independent particulars. Some of these recent interpreters have taken this result to demonstrate an internal incompatibility between Kant‘s transcendental idealism and his own model of cognitive content and the environmental conditions of empirical knowledge. Against this suggestion, this article argues that, while Kant’s theory of content is indeed best construed as externalist, an adequately adjusted form of transcendental idealism is not only compatible with this externalism, but in fact supports it. More generally, the article develops the position that mental content externalism cannot force the adoption of metaphysical realism. (shrink)

No debate acerca da singularidade de, pelos menos, alguns de nossos pensamentos sobre o mundo, assume-se corriqueiramente que o responsável pela natureza singular do episódio mental não é o próprio episódio e, sim, a proposição singular expressa quer por um proferimento assertórico de sentença singular autônoma, quer pela cláusula complementar em um relato de atribuição de atitude proposicional. As rotas semânticas padrão assumem que a singularidade do episódio mental (conceitual) é por assim dizer “herdada” da singularidade do conteúdo. Argumento que (...) este pressuposto apresenta uma lacuna, pois desconsidera o papel desempenhado em certos atos de pensamento, chamados de episódicos, por habilidades cognitivas tais como a capacidade de perceber objetos particulares, de vivenciar (novamente) ou de projetar-se mentalmente em direção a acontecimentos particulares pessoais, diretamente responsáveis por sua singularidade. No entanto, contra a tese de que haveria capacidades episódicas aí envolvidas, argumento que a singularidade dos atos de pensar episódicos se dá pelo exercício pontual no espaço e no tempo dessas capacidades e há, portanto, um sentido não derivado em que eles podem ser qualificados como singulares. (shrink)

An account of judgment ought to explain the fact that a judgment is, or may be, about some object. A judgment may be about some object if it contains some part, or term, which is related to the object, on the one hand, and related to- ‘combined with’ — the other parts of the judgment, on the other, in such a way that the whole judgment is consequently about that object. The relation of that term to the object may be (...) called ‘reference.’ It is the relation of ‘reference’ that might make a judgment ‘objective,’ and make it be about one or another particular object; and it is the relation combining the referring term with another term that makes the whole thing a judgment; that is, that makes the whole thing represent something as being true of the object referred to. (shrink)

The paper provides a reconstruction of proof by contradiction in Kant’s pure general logic. A seemingly less-explored point of view on this topic is how apagogical proof can account for the formal truth of a judgement. Integrating the argument held by Kjosavik (2019), I intend to highlight how one can use proof by contradiction, conceived as a modus tollens, to establish the logical actuality (logical or formal truth) of a cognition. Although one might agree on the capacity of the proof (...) to prove formal falsity, the logical actuality of a judgement is assessable based on a logically grounded judgement and, as for transcendental logic, this cognitive operation has to presuppose the real possibility of an object. (shrink)

En un pasaje famoso, Kant dijo que "los pensamientos sin contenido son vacíos, las intuiciones sin conceptos son ciegas", lo cual ha dado lugar -de la mano de filósofos y exégetas clásicos y contemporáneos como McDowell- a la idea de que los estados mentales que Kant denomina intuiciones poseen ya un contenido conceptual. En este artículo se propone una lectura que hace énfasis en la independencia o separabilidad de intuiciones y conceptos, y cómo las primeras constituyen un tipo de cognición (...) que, sin ser conceptual, es suficiente para la individuación de particulares. In a famous passage, Kant said that "the thoughts without content are empties, the intuitions without concepts are blind", which has given place, from the hand of classical and contemporaries philosophers and scholars, like McDowell, to the idea that the mental states which Kant calls intuitions have conceptual content. This article proposes a lecture that makes emphasis on independence or separability between intuitions and concepts, and how the firsts constitutes a kind of cognition that while is non-conceptual, is enough for the individuation of particulars. (shrink)

In this dissertation I defend a Kantian notion of the given. I show that something akin to Kant's theory of intuition is necessary to make sense of the normative role perception has in forming perceptual knowledge. ;Perceptual judgments require guidance from the objects they represent. I argue that this normative aspect of perception can be explained only by appeal to a non-conceptual content caused by the object perceived. But isn't this to appeal to the mythical given? I show that it (...) is not by comparing it to the result of Sellars' famous Myth of the Given argument. Contrary to the generally accepted view, what follows from Sellars' argument is not that the given is a myth, but rather that what is immediately present to mind cannot be known. This result leaves an explanatory option which the Sellars' critique does not consider. The given might be a part of knowledge while not itself being independently knowable. ;However, because the possibility of an immediate cognitive content is thought to have been foreclosed by the Sellars argument, much subsequent epistemology has overlooked this alternative. One widespread response has been to embrace coherence theories according to which justification is regarded as a relation between beliefs. These theories regard perception as a thoroughly causal phenomenon and consequently allow no role for perception in the justification of perceptual or other beliefs. ;I argue that in perceptual contexts only perception can decide the case between equally coherent conceptual determinations. But according to the coherentist this kind of justificatory function could not involve perception since perception is a thoroughly causal phenomenon. Against this view, I argue that some notion of the given, one which circumvents Sellars' criticism, is necessary to account for the normative role perception plays in perceptual belief. I show that Kant's notion of sensible intuition circumvents the Sellars critique. The idea of the given is redeemed in Kant's account, since it makes possible a theory of the normative role that perception plays in knowledge. (shrink)

I argue for the Wittgensteinian thesis that mathematical statements are expressions of norms, rather than descriptions of the world. An expression of a norm is a statement like a promise or a New Year's resolution, which says that someone is committed or entitled to a certain line of action. A expression of a norm is not a mere description of a regularity of human behavior, nor is it merely a descriptive statement which happens to entail a norms. The view can (...) be thought of as a sort of logicism for the logical expressivist---a person who believes that the purpose of logical language is to make explicit commitments and entitlements that are implicit in ordinary practice. The thesis that mathematical statements are expression of norms is a kind of logicism, not because it says that mathematics can be reduced to logic, but because it says that mathematical statements play the same role as logical statements. ;I contrast my position with two sets of views, an empiricist view, which says that mathematical knowledge is acquired and justified through experience, and a cluster of nativist and apriorist views, which say that mathematical knowledge is either hardwired into the human brain, or justified a priori, or both. To develop the empiricist view, I look at the work of Kitcher and Mill, arguing that although their ideas can withstand the criticisms brought against empiricism by Frege and others, they cannot reply to a version of the critique brought by Wittgenstein in the Remarks on the Foundations of Mathematics. To develop the nativist and apriorist views, I look at the work of contemporary developmental psychologists, like Gelman and Gallistel and Karen Wynn, as well as the work of philosophers who advocate the existence of a mathematical intuition, such as Kant, Husserl, and Parsons. After clarifying the definitions of "innate" and "a priori," I argue that the mechanisms proposed by the nativists cannot bring knowledge, and the existence of the mechanisms proposed by the apriorists is not supported by the arguments they give. (shrink)

Recently, Kenneth Westphal has presented a highly interesting and innovative reading of Kant's critical philosophy.2 This reading continues a tradition of Kantscholarship of which, e.g., Paul Guyer's work is representative, and in which the antiidealistic potential of Kant's critical philosophy is pitted against its idealistic selfunderstanding. Much of the work in this tradition leaves matters at observing the tensions this introduces in Kant's work. But Westphal's proposed interpretation goes farther. Its attractiveness derives for the most part from the promise that (...) it permits an internal critique of Kant's transcendental idealism (TI), that is, a critique that is based on the very resources of Kantian transcendental philosophy.3 In contrast to these resources, which currently seem to go through a sort of revival in an enormous array of fields, TI is notorious for dismaying even sympathetic interpreters. How attractive and needed such an internal critique of TI would be becomes all the more patent when we place such a promise in the context of some of the contemporary discussions about TI after Allison's famous defense of it. Before directly engaging with Westphal's interpretation, I would therefore like to quickly sketch on what background it acquires its force (I). After characterizing the main features of Westphal's view (II), and supporting it in more detail by an account of Kant's theory of cognitive significance (III), I then want to review the extent of its success to present Kant as issuing an anti-skeptical argument (IV.1), or semantic views that are incompatible with TI (IV.2), or a 'proof of not merely empirical realism' (IV.3). I agree that purely idealist readings of Kant are mistaken. Westphal's... (shrink)

Extended critical discussion of Lucy Allais, *Manifest Reality*.

Martin offers an intriguing account of nineteenth century challenges to the traditional theory of judgment as a synthesis of subject and predicate (the synthesis theory)--criticisms motivated largely by the problem posed by existential judgments, which need not have two terms at all. Such judgments led to a theory of "thetic" judgments, whose essential feature is to "posit" something, rather than to combine terms (as in synthetic judgment). I argue, however, that Kant's official definition of judgment already implicitly recognizes the importance (...) of positing, and that its (otherwise confusing) abstract generality actually affords Kant's own logic an adequate way to accommodate existential judgments within the traditional synthesis theory. Preservation of a synthetic account of judgment is also found to be independently important for Kant's larger aims in the theory of cognition. (shrink)