I am interested in the use Kant makes of the pure intuition of space, and of properties and principles of space and spaces (i.e. figures, like spheres and lines), in the special metaphysical project of MAN. This is a large topic, so I will focus here on an aspect of it: the role of these things in his treatment of some of the laws of matter treated in the Dynamics and Mechanics Chapters. In MAN and other texts, Kant (...) speaks of space as the “ground,” “condition,” and “basis” of various laws, including the inverse-square and inverse-cube laws of attractive and repulsive force, and the Third Law of Mechanics. Moreover, in his proofs of all the laws just mentioned, the language of “construction” figures prominently, which suggests that Kant’s proofs (somehow) rest on or involve mathematical construction in his technical sense. Such claims give rise to a number of questions. How do properties and principles of space and spaces serve to ground this particular set of laws? Which spatial properties and principles is Kant appealing to? What, if anything, does the spatial grounding of the inverse-square and inverse-cube laws of diffusion (treated in the Dynamics Chapter) have in common with that of the Third treated in the Mechanics Chapter)? What role—if any—does mathematical construction play in Kant’s proofs of these laws? Finally, how if at all, are Kant’s grounding claims consistent with his other commitments—for example, how are they consistent with his notorious denial in Prolegomena §38 that there are any laws that “lie in space” (Prol 4:321)? I offer answers to these questions. (shrink)

This article is mainly a critique of Philip Kitcher's book, The Nature of Mathematical Knowledge. Four weaknesses in Kitcher's objection to Kant arise out of Kitcher's failure to recognize the perspectival nature of Kant's position. A proper understanding of Kant's theory of mathematics requires awareness of the perspectival nuances implicit in Kant's theory of pure intuition.

Epistemic invariantism is the view that the truth conditions of knowledge ascriptions don’t vary across contexts. Epistemic purism is the view that purely practical factors can’t directly affect the strength of your epistemic position. The combination of purism and invariantism, pure invariantism, is the received view in contemporary epistemology. It has lately been criticized by contextualists, who deny invariantism, and impurists, who deny purism. A central charge against pure invariantism is that it poorly accommodates linguistic intuitions about certain (...) cases. In this paper I develop a new response to this charge. I propose that pure invariantists can explain the relevant linguistic intuitions on the grounds that they track the propriety of indirect speech acts, in particular indirect requests and denials. [Note: this paper was written in 2010-11.]. (shrink)

It is well known that Kant distinguishes between two kinds of self-consciousness: transcendental apperception and empirical apperception (or, approximately, inner sense). However, Kant sometimes claims that “I think,” the general expression of transcendental apperception, expresses an indeterminate empirical inner intuition (IEI), which differs in crucial ways from the empirical inner intuition produced by inner sense. Such claims undermine Kant’s conceptual framework and constitute a recalcitrant obstacle to understanding his theory of self-consciousness. This paper analyzes the relevant passages, evaluates (...) the major interpretations of IEI, revisits the notion of pure apperception, and proposes an alternative reading: IEI is a ubiquitous, nonfocal, “obscure,” and empirical inner intuition that is built into all nonintrospective conscious states. This reading can successfully account for the peculiarities of IEI, resolving a major mystery in Kant’s theory of self-consciousness. (shrink)

Master's Dissertation -/- (Awarded Distinction from Warwick University – assessed by Professors Stephen Houlgate and Christine Battersby, 2002).

In this chapter, we will summarize recent empirical results highlighting how different groups of people solve pure coordination games. Such games are traditionally studied in behavioural economics, where two people need to coordinate without communicating with each other. Our results suggest that coordination choices vary across groups of people, and that people can adapt flexibly to these differences in order to coordinate between groups. We propose that pure coordination games are a useful empirical platform for studying aspects of (...) mindshaping. Drawing on existing psychological literature on alignment during interactions, we suggest that experience of successful interaction leads people to develop aligned intuitions about what is relevant and appropriate that support coordination when interaction and communication is not possible. Consistent with arguments made in the literature on mindshaping we believe that such alignment is more important for coordination than mindreading inferences about mental states, and indeed that mindreading is instead a form of coordination behaviour that is dependent upon intuitive alignment. (shrink)

W. V. Quine famously defended two theses that have fallen rather dramatically out of fashion. The first is that intensions are “creatures of darkness” that ultimately have no place in respectable philosophical circles, owing primarily to their lack of rigorous identity conditions. However, although he was thoroughly familiar with Carnap’s foundational studies in what would become known as possible world semantics, it likely wouldn’t yet have been apparent to Quine that he was fighting a losing battle against intensions, due in (...) large measure to developments stemming from Carnap’s studies and culminating in the work of Kripke, Hintikka, and Bayart. These developments undermined Quine’s crusade against intensions on two fronts. First, in the context of possible world semantics, intensions could after all be given rigorous identity conditions by defining them (in the simplest case) as functions from worlds to appropriate extensions, a fact exploited to powerful and influential effect in logic and linguistics by the likes of Kaplan, Montague, Lewis, and Cresswell. Second, the rise of possible world semantics fueled a strong resurgence of metaphysics in contemporary analytic philosophy that saw properties and propositions widely, fruitfully, and unabashedly adopted as ontological primitives in their own right. This resurgence — happily, in my view — continues into the present day. -/- For a time, at any rate, Quine experienced somewhat better success with his second thesis: that higher-order logic is, at worst, confused and, at best, a quirky notational alternative to standard first-order logic. However, Quine notwithstanding, a great deal of recent work in formal metaphysics transpires in a higher-order logical framework in which properties and propositions fall into an infinite hierarchy of types of (at least) every finite order. Initially, the most philosophically compelling reason for embracing such a framework since Russell first proposed his simple theory of types was simply that it provides a relatively natural explanation of the paradoxes. However, since the seminal work of Prior there has been a growing trend to consider higher-order logic to be the most philosophically natural framework for metaphysical inquiry, many of the contributors to this volume being among the most important and influential advocates of this view. Indeed, this is now quite arguably the dominant view among formal metaphysicians. -/- In this paper, and against the current tide, I will argue in §1 that there are still good reasons to think that Quine’s second battle is not yet lost and that the correct framework for logic is first-order and type-free — properties and propositions, logically speaking, are just individuals among others in a single domain of quantification — and that it arises naturally out of our most basic logical and semantical intuitions. The data I will draw upon are not new and are well-known to contemporary higher-order metaphysicians. However, I will try to defend my thesis in what I believe is a novel way by suggesting that these basic intuitions ground a reasonable distinction between “pure” logic and non-logical theory, and that Russell-style semantic paradoxes of truth and exemplification arise only when we move beyond the purely logical and, hence, do not of themselves provide any strong objection to a type-free conception of properties and propositions. -/- Most of my arguments in §1 are largely independent of any specific account of the nature of properties and propositions beyond their type-freedom. However, I will in addition argue that there are good reasons to take propositions, at least, to be very fine-grained. My arguments are thus bolstered significantly if it can be shown that there are in fact well-defined examples of logics that are not only type-free but which comport with such a conception of propositions. It is the purpose of §2 to lay out a logic of this sort in some detail, drawing especially upon work by George Bealer and related work of my own. With the logic in place, it will be possible to generalize the line of argument noted above regarding Russell-style paradoxes and, in §3, apply it to two propositional paradoxes — the Prior-Kaplan paradox and the Russell-Myhill paradox — that are often taken to threaten the sort of account developed here. (shrink)

Abstract Both parties in the active philosophical debate concerning the conceptual character of perception trace their roots back to Kant's account of sensible intuition in the Critique of Pure Reason. This striking fact can be attributed to Kant's tendency both to assert and to deny the involvement of our conceptual capacities in sensible intuition. He appears to waver between these two positions in different passages, and can thus seem thoroughly confused on this issue. But this is not, (...) in fact, the case, for, as I will argue, the appearance of contradiction in his account stems from the failure of some commentators to pay sufficient attention to Kant's developmental approach to philosophy. Although he begins by asserting the independence of intuition, Kant proceeds from this nonconceptualist starting point to reveal a deeper connection between intuitions and concepts. On this reading, Kant's seemingly conflicting claims are actually the result of a careful and deliberate strategy for gradually convincing his readers of the conceptual nature of perception. (shrink)

I find much to like in Craig Callender's [2022] arguments for the rational permissibility of non-exponential time discounting when these arguments are viewed in a conditional form: viz., if one thinks that time discounting is rationally permissible, as the social scientist does, then one should think that non-exponential time discounting is too. However, time neutralists believe that time discounting is rationally impermissible, and thus they take zero time discounting to be the normative standard. The time neutralist rejects time discounting because (...) they think it is rationally impermissible to prefer to live a worse life in expectation because of arbitrariness. Callender’s attack on the time-neutralist position is the following: the time-neutralist’s non-arbitrariness intuition assumes the existence of nonexistent ‘pure’ time preferences. In response, I aim to clarify the time-neutralist position and show that the non-arbitrariness argument does not rely on the existence of pure time preferences. Instead, the debate between time neutralism and permissivism about time discounting boils down to a methodological question: can we ever criticize the content of preferences? If so, we should embrace time neutralism. (shrink)

The role of intuition in Kant’s account of experience receives perennial philosophical attention. In this essay, I present the textual case that Kant also makes extensive reference to what he terms “images” that are generated by the imagination. Beyond this, as I argue, images are fundamentally distinct from empirical and pure intuitions. Images and empirical intuitions differ in how they relate to sensation, and all images (even “pure images”) actually depend on pure intuitions. Moreover, all images (...) differ from intuitions in their structure or format. I then turn to a question that naturally arises on the resulting view: if the imagination produces images, and if images are fundamentally distinct from intuitions, then how do intuitions relate to the imagination? I outline reasons for thinking that intuitions and their essential features do not depend on the imagination at all. Though this essay does not decisively argue for this thesis, the resulting view provides a clear account of the distinction between the senses and the imagination in Kant’s theory of sensibility. (shrink)

Many philosophers claim to employ intuitions in their philosophical arguments. Others contest that no such intuitions are used frequently or at all in philosophy. This article suggests and defends a conception of intuitions as part of the philosophical method: intuitions are special types of philosophical assumptions to which we are invited to assent, often as premises in argument, that may serve an independent function in philosophical argument and that are not formed through a purely inferential process. A series of philosophical (...) case studies shows that intuitions in these arguments contain the relevant features. The view has implications for philosophical method, offering a compromise between opponents on the divisive debate of the merits of experimental philosophy: experimental philosophy provides an especially useful role in philosophical assumption analysis. (shrink)

The influence of historical-causal theories of reference developed in the late sixties and early seventies by Donnellan, Kripke, Putnam and Devitt has been so strong that any semantic theory that has the consequence of assigning disjunctive representational content to the mental states of twins (e.g. [H2O or XYZ]) has been thereby taken to refute itself. Similarly, despite the strength of pre-theoretical intuitions that exact physical replicas like Davidson's Swampman have representational mental states, people have routinely denied that they have any (...) intentional/representational states. I want to focus on a particular brand of causal theory that is not historical, the so-called pure informational or nomic covariance theories, and examine how they propose to handle twin cases and replicas like Swampman. In particular, I will take up Fodor. (shrink)

The motivating question of this paper is: ‘How are our beliefs in the theorems of mathematics justified?’ This is distinguished from the question ‘How are our mathematical beliefs reliably true?’ We examine an influential answer, outlined by Russell, championed by Gödel, and developed by those searching for new axioms to settle undecidables, that our mathematical beliefs are justified by ‘intuitions’, as our scientific beliefs are justified by observations. On this view, axioms are analogous to laws of nature. They are postulated (...) to best systematize the data to be explained. We argue that there is a decisive difference between the cases. There is agreement on the data to be systematized in the scientific case that has no analog in the mathematical one. There is virtual consensus over observations, but conspicuous dispute over intuitions. In this respect, mathematics more closely resembles stereotypical philosophy. We conclude by distinguishing two ideas that have long been associated -- realism (the idea that there is an independent reality) and objectivity (the idea that in a disagreement, only one of us can be right). We argue that, while realism is true of mathematics and philosophy, these domains fail to be objective. One upshot of the discussion is that even questions of fundamental physics may fail to be objective in roughly the sense that the question, ‘Is the Parallel Postulate is true?’, understood as one of pure mathematics, fails to be. Another is a kind of pragmatism. Factual questions in mathematics, modality, logic, and evaluative areas go proxy for non-factual practical ones. -/- . (shrink)

By transcendental aesthetic, Kant means “the science of all principles of a priori sensibility” (A 21/B 35). 1 These, he argues, are the laws that properly direct our judgments of taste (B 35 – 36 fn.), i.e. our aesthetic judgments as we ordinarily understand that notion in the context of contemporary art. Thus the first part of the Critique of Pure Reason, entitled the Transcendental Aesthetic, enumerates the necessary presuppositions of, among other things, our ability to make empirical judgments (...) about particular works of art. These presuppositions are sensible rather than intellectual because on Kant’s view, all intellection that considers objects of any kind, whether abstract or concrete, must at base connect to actual, material objects with which we come into direct contact; and this we can do only through sensibility (A 19/B 33). Thus the following discussion explores what Kant claims must be true of us in order to make the sorts of aesthetic judgments we make, rather than any particular class or quality of aesthetic judgments itself. On Kant’s view, what must be true of us in order to make aesthetic judgments is not different from what must be true of us in order to make any other kind of judgment about empirical objects. (shrink)

I argue that Kant’s distinction between the cognitive roles of sensibility and understanding raises a question concerning the conditions necessary for objective representation. I distinguish two opposing interpretive positions—viz. Intellectualism and Sensibilism. According to Intellectualism all objective representation depends, at least in part, on the unifying synthetic activity of the mind. In contrast, Sensibilism argues that at least some forms of objective representation, specifically intuitions, do not require synthesis. I argue that there are deep reasons for thinking that Intellectualism is (...) incompatible with Kant's view as expressed in the Transcendental Aesthetic. We can better see how Kant’s arguments in the first Critique may be integrated, I suggest, by examining his notion of the 'unity' [Einheit] of a representation. I articulate two distinct ways in which a representation may possess unity and claim that we can use these notions to integrate Kant’s arguments in the Aesthetic and the Transcendental Deduction without compromising the core claims of either Sensibilism or Intellectualism—that intuition is a form of objective representation independent of synthesis, and that the kind of objective representations that ground scientific knowledge of the world require synthesis by the categories. (shrink)

In several recent contributions to the growing literature on slurs, Hedger draws upon Kaplan's distinction between descriptive and expressive content to argue that slurs are expressions with purely expressive content. The distinction between descriptive and expressive content and the view that slurs are expressions with purely expressive content has been widely acknowledged in prior work, and Hedger aims to contribute to this tradition of scholarship by offering novel arguments in support of his "pure expressivist" account of slurs. But the (...) account that PE offers is explanatorily inadequate, resting on suspect a priori intuitions which also commit one to denying many basic facts about slurs, such as that slurs largely display systematic differential application and that slurs can be used non-offensively between in-group speakers. In this article I provide clear reasons for rejecting PE, arguing particularly against Hedger as one of PE’s most explicit and recent proponents. In showing that PE is inadequate in at least 11 ways, I argue in favor of a mixed or hybrid approach. (shrink)

Husserl’s phenomenology of imagination embraces a cluster of different theories and approaches regarding the multi-faced phenomenon of imaginative experience. In this paper I consider one aspect that seems to be crucial to the understanding of a particular form of imagination that Husserl names pure phantasy. I argue that the phenomenon of Ego-splitting discloses the best way to elucidate the peculiarity of pure phantasy with respect to other forms of representative acts and to any simple form of act modification. (...) First, I unravel the phenomenological distinctions which, respectively, oppose phantasy to perception, on the one hand, and phantasy to other forms of the so-called “intuitive re-presentations”. Second, I introduce the difference between presentative and representative acts, arguing that this cannot help us to single out the defining feature of phantasy experiences. The third section draws again an important distinction between pure phantasy and neutrality modification, which allows me to finally determine an internal trait of phantasy experiences, which Husserl refers to as the “Ego-splitting”. In this way, I hope to contribute to a refined characterization of Husserl’s phenomenology of imagination. (shrink)

Imperatives cannot be true, but they can be obeyed or binding: `Surrender!' is obeyed if you surrender and is binding if you have a reason to surrender. A pure declarative argument — whose premisses and conclusion are declaratives — is valid exactly if, necessarily, its conclusion is true if the conjunction of its premisses is true; similarly, I suggest, a pure imperative argument — whose premisses and conclusion are imperatives — is obedience-valid (alternatively: bindingness-valid) exactly if, necessarily, its (...) conclusion is obeyed (alternatively: binding) if the conjunction of its premisses is. I argue that there are two kinds of bindingness, and that a vacillation between two corresponding variants of bindingness-validity largely explains conflicting intuitions concerning the validity of some pure imperative arguments. I prove that for each of those two variants of bindingness-validity there is an equivalent variant of obedience-validity. Finally, I address alternative accounts of pure imperative inference. (shrink)

The role and nature of imagination in Kant's Critique of Pure Reason is intensively examined. In addition, the text of Kant's Anthropology from a Pragmatic Point of View will also be considered because it helps illustrate this issue. Imagination is the fundamental power of the mind responsible for any act of forming and putting together representations. A new interpretation of imagination in Kant is given which recognizes its necessary roles as the factor responsible for producing space and time, as (...) an essential component in perception, as the mediator of concepts and intuitions, and as the synthesizing agent which groups together representations into categories. ;The work is divided basically into two parts. The first part looks at the imagination in the Transcendental Aesthetic. It will be shown that space and time themselves are products of imagination. As pure and a priori intuitions space and time are objects of thought and thus are conditioned by the synthetic power of imagination. Moreover, as forms of intuitions space and time are also conditioned by imagination; hence, imagination is a necessary factor in spatial and temporal perception. ;The second part of the thesis concerns the role of imagination in the Transcendental Analytic. Here the role of the imagination is more pervasive. In the Metaphysical Deduction the thesis argues that the imagination is responsible for uniting representations into twelve categories which are the conditions of thinking in general. Therefore the categories themselves owe their origins to imagination. This interpretation hinges on Kant's distinction between transcendental and general logic, which the thesis will discuss in detail. In the Transcendental Deduction the imagination is responsible for taking up representations in such a way that results in their belonging to a single framework of consciousness, thus showing that the categories apply to a posteriori representations. In the Schematism the imagination is necessary in forming the schemata, which join together concepts and intuitions so that both empirical and transcendental judgments are produced. Finally, a critique of Heidegger's idea on imagination as the "common root" of sensibility and understanding will be offered. (shrink)

Kant’s theory of cognition aimed to explain the possibility of scientific knowledge. Aesthetics and life science were not considered by Kant in the context of cognition. By contrast, Cassirer set himself a philosophical task to extend Kant’s theory of cognition to all forms of culture, including pre-scientific knowledge and aesthetics. The present study demonstrates how Cassirer explained the possibility of different objective forms, named symbolic, by employing and transforming Kant’s theory of cognition. For this goal, Cassirer took the following steps: (...) modified the definitions of a priori synthesis (the act of understanding) and pure intuition (the forms of space and time) - main building blocks of Kant’s cognition; indicated the necessary correlation of intuition and synthesis; characterized a priori synthesis and the intuition as notions which include contradicted meanings. Cassirer called this contradiction “twofold oppositions” as characteristic of a priori synthesis. The first argument of the article is that the possibility of various synthetic acts is rooted in the nature of a priori synthesis which carries together two different meanings: the act of uniting elements and the initial unity. One synthetic act forms the world of nature and is connected to scientific space and time, and the other is the product of immediate perceptional space and time, from which the world of myth and aesthetics appears. Thus, Cassirer expanded the scope of “pure” synthesis. The second argument is that Cassirer specified a priori synthesis and pure intuition as a functional concept. The functional concept belongs to the model of concept as-relation that Cassirer has elaborated. It includes moments that are separated and united simultaneously. This definition of concept breaks the rules of consistency. The concept of as-relation justifies the contradictory characteristics of a priori synthesis and pure intuition, which include both the combination of moments in a synthesizing act and the initial unity of intuition. (shrink)

According to the pure part-life view the meaning in our lives is always borne by particular parts of our lives. The aim of this paper is to show that Thaddeus Metz’s rejection of this view is too quick. Given that meaning is a value that often depends on relational rather than intrinsic properties a pure part-life view can accommodate many of the intuitions that move Metz towards a mixed view. According to this mixed view some meaning is borne (...) by parts of our lives and some by our lives as a whole. The arguments in this paper suggest, however, that even if a pure part-life view is to be rejected, a mixed view that incorporates a whole-life aspect is not going to be any more plausible. (shrink)

Laurence BonJour divides approaches to a priori justification into three kinds. Quine’s radical empiricism denies the existence of any special category of a priori justification; moderate empiricism attempts to explain a priori justification in terms of something like knowledge of meaning or grasp of concepts; and rationalism postulates an irreducible ‘rational insight’ into the nature of reality. The positions therefore form a familiar trio of eliminativism, reductionism and anti-reductionism concerning a priori justification. BonJour’s interesting and (in the present philosophical climate) (...) unusual project is to defend rationalism, the anti-reductionist position. Rationalism says that we have an ability to ‘directly or intuitively see or grasp or apprehend … a necessary fact about the nature or structure of reality’ (pp. 15-16). ‘An apparent rational insight,’ he says, ‘purports to be nothing less than a direct insight into the necessary character of reality’ (p. 107). Two clarifications will help to mark out the distinctive character of this view: first, that rational insight is fallible; and second, that although BonJour carefully distinguishes the concepts of necessity and apriority, he none the less claims that rational insight yields a priori knowledge of necessary truths only. On his view, the contingent a priori does not exist, although empirical necessities do... (shrink)

According to Kant, pure intuition is an indispensable ingredient of mathematical proofs. Kant‘s thesis has been considered as obsolete since the advent of modern relational logic at the end of 19th century. Against this logicist orthodoxy Cassirer’s “critical idealism” insisted that formal logic alone could not make sense of the conceptual co-evolution of mathematical and scientific concepts. For Cassirer, idealizations, or, more precisely, idealizing completions, played a fundamental role in the formation of the mathematical and empirical concepts. The (...) aim of this paper is to outline the basics of Cassirer’s idealizational account, and to point at some interesting similarities it has with Kant’s and Peirce’s philosophies of mathematics based on the key notions of pure intuition and theorematic reasoning, respectively. (shrink)

Kant mentions two faculties of the mind that are involved in the knowing process, namely, sensibility and understanding. Through the former, the objects are “given” while through the latter, objects are “thought of.” The receiving faculty, that of sensibility, deals with space and time as pure intuitions. On the other, the thinking faculty - that of understanding, treats concepts or categories. Thus, these faculties of the human reason presuppose the two elements of knowledge: contents or intuitions and thoughts or (...) concepts for sensibility and understanding, respectively. This paper aims at presenting the coming-to-be of knowledge through the operations of the mind in Kant’s Critique of Pure Reason and critically exposes the correlation of sensibility and of understanding in the knowing process. (shrink)

In his genetic phenomenology, Husserl introduces types, pre-predicative frames of experience that guide the perception and cognition of objects. In this essay, I argue that there are two types that are functionally almost identical to Kant’s schemata. To support this conclusion, I first present an interpretation of Kant’s discussion of schemata. I argue that we must see schemata as pure, a priori cognitions that involve only pure intuition, pure concepts of the understanding, and the imagination. I (...) offer two analogies to explain how schemata function to subsume objects under concepts and to anticipate possible objects of experience before moving on to discuss the schema of substance. Next, I present a brief explanation of Husserl’s genetic phenomenology, organizing my presentation around the idea of apperception. This paves the way for a demonstration of how the fundamental type is best understood as standing at the center of a cluster of concepts, including apperception, passive belief, natural bodies, and the one spatio-temporal horizon of experience. I argue that the fundamental type is central to Husserl’s attempt to ground logic in pre-predicative experience. Finally, I compare two specific types with schemata on the grounds cultivated in the previous sections. The first of these types, the fundamental type, functions to pre-predicatively anticipate objects of possible experience, just as schemata do. The second of these types, which is implied by but never discussed in Husserl’s work, serves to mediate between a formal system of rules and an intuitive grasp of the world, just as schemata do. (shrink)

The current technoscientific progress has led to a sectorization in the philosophy of science. Today the philosophy of science isn't is informal interested in studying old problems about the general characteristics of scientific practice. The interest of the philosopher of science is the study of concepts, problems and riddles of particular disciplines. Then, within this progress of philosophy of science, neuroscientific research stands out, because it invades issues traditionally addressed by the humanities, such as the nature of consciousness, action, knowledge, (...) normativity, etc. As a result, the new area of interdisciplinary study of neuroscience and philosophy arises: neurophilosophy. This emerging area applies neuroscientific concepts to traditional philosophical questions, limiting their responses to neuroscientific revelations about nervous systems. Neurophilosophy research focuses on problems related to the indirect nature of mind and brain, computational or representative analysis of brain process, relationships between psychological and neuroscientific research, adequate adaptations of physical and philosophical concepts in neuroscience and the place of cognitive functions. Now, the temporal representation of conscious experience and the types of the neural architecture to represent objects in time have aroused scientific interest. Under these interests, we focus on the studies on the temporary triadic structure of phenomenological consciousness in Dan Lloyd and Rick Grush. From Grush’s studies, the importance of Kantian ideas for cognitive neuroscience emerges, due to the active way in which Kant conceived space and time as forms of intuition, within which the mind interprets its experience. Under this perspective, the theoretical arguments of Dennett-Kinsbourne and Eagleman-Sejnowski represent winks in the direction of Kant-Husserl within the neuroscientific goal while considering that the contents provided by the mind included space, objects and perception of causal relationships. Then, theories of cognitive neuroscience are beginning to suggest that these elements are also, as Kant argued, interpretative elaborations provided by mind / brain, and not only content received from outside. In other words, current cognitive neuroscientific theories try to pass from its Humean phase to a Kantian phase. So, the challenge has been to explain that these elements are provided by the mind and the world itself, and how they have the content they have come from. These are lacking in current studies. Filling this gap helps to involve the analysis of the scientist’s experience in his theoretical attitude. In this sense, an investigation under the Kantian-Husserlian approach that involves pure intuitions a priori with the experience of the scientific and neuroscientific concepts represents a ground-breaking. At present, a neurophilosophical study about this does not exist. In this sense, one feasible proposal for research would be based on the application of neuroscientific results of Moser-Britt to philosophical problems of foundational notions in relativistic physics: space, time, space-time, field, etc., under the Kantian-Husserlian approach, which allows to demonstrate the multidisciplinary link between neurophilosophy and physics. This represents a ground-breaking area in current interests in scientific research, with a positive impact in the field of neuroscience, and contributing to the study of abstraction emphasizing the importance of Kant’s Copernican turn and Husserl’s phenomenological ideas in the construction of physical theories. -/- . (shrink)

Gottlob Frege abandoned his logicist program after Bertrand Russell had discovered that some assumptions of Frege’s system lead to contradiction (so called Russell’s paradox). Nevertheless, he proposed a new attempt for the foundations of mathematics in two last years of his life. According to this new program, the whole of mathematics is based on the geometrical source of knowledge. By the geometrical source of cognition Frege meant intuition which is the source of an infinite number of objects in arithmetic. (...) In this article, I describe this final attempt of Frege to provide the foundations of mathematics. Furthermore, I compare Frege’s views of intuition from The Foundations of Arithmetic (and his later views) with the Kantian conception of pure intuition as the source of geometrical axioms. In the conclusion of the essay, I examine some implications for the debate between Hans Sluga and Michael Dummett concerning the realistic and idealistic interpretations of Frege’s philosophy. (shrink)

Dans l’histoire de la métaphysique, l’époque initiée par Descartes se caractérise par le projet de tirer toute connaissance de son propre fonds. C’est ce que Kant a exprimé par la révolution copernicienne : les structures universelles des objets de l’expérience (temporalité, spatialité, grandeur, force, mathématisabilité, etc.) se règlent sur les structures a priori impliquées dans la constitution du sujet transcendantal (les facultés et leurs formes pures). Par là, toute l’ontologie de l’objet d’expérience possible trouve son fondement dans une présupposition transcendantale (...) : celle de la préconstitution invariante du sujet transcendantal, caractérisée par un système de facultés (sensibilité, imagination, entendement, raison) et de formes pures (intuitions, schèmes, concepts et Idées pures). N’est-il pas possible d’élaborer une philosophie transcendantale qui fasse l’économie d’un tel présupposé ? Tel est le projet que l’auteur voit dans la phénoménologie husserlienne : un dépassement de la révolution copernicienne, dont le but n’est nullement de restaurer une ontologie réaliste, mais d’élucider l’essence du sujet transcendantal sans en présupposer l’identité, ni les facultés invariantes. En voici le principe : toute catégorie d’objets prescrit au sujet transcendantal une structure régulatrice, de sorte que le système des facultés du sujet peut être réélaboré au fil conducteur des types d’objets possibles. Dès lors se présente un cercle apparemment insoluble : l’essence du sujet pur se lit à partir des catégories d’objets, mais ces mêmes objets sont constitués par l’activité synthétique du sujet. Or, comment peut-on admettre le paradoxe selon lequel le sujet serait le produit de ses produits ? (shrink)

I take up Kant's remarks about a " transcendental deduction" of the "concepts of space and time". I argue for the need to make a clearer assessment of the philosophical resources of the Aesthetic in order to account for this transcendental deduction. Special attention needs to be given to the fact that the central task of the Aesthetic is simply the "exposition" of these concepts. The Metaphysical Exposition reflects upon facts about our usage to reveal our commitment to the idea (...) that these concepts refer to pure intuitions. But the legitimacy of these concepts still hangs in the balance: these concepts may turn out to refer to nothing real at all. The subsequent Transcendental Exposition addresses this issue. The objective validity of the concepts of space and time, and hence their transcendental deduction, hinges on careful treatment of this last point. (shrink)

Intuitively, we can conceive of the existence of a conscious state as a pure activity that does not necessarily require a body (or even a brain). This idea has found new support in certain recent theories that present the possibility of a totally disconnected and disembodied consciousness. Against this hypothesis, I argue that human experience is intrinsically embodied and embedded, though in a specific way. Using Sartre’s phenomenology of the body, I first analyze the concept of consciousness as intentionality (...) and a world-disclosing activity, thus explaining how conscious activity can only be expressed through a body that is spatiotemporally related to the world. Then, I argue that bodily consciousness does not necessarily imply the actual presence of an anatomical body but, rather, a process of spatialization and temporalization (hodological space and temporal synthesis) through the “spatiotemporal body”. Finally, I test my thesis by critiquing some cases of apparent disembodied/disconnected consciousness, i.e., dreams, out-of-body experiences, and the brain-in-a-vat scenario. (shrink)

In this paper I present an interpretation of Immanuel Kant’s transcendental deduction of the categories (a dangerous interpretation it turns out), based primarily on the “two-step” argument of the B deduction of the Critique of Pure Reason. I undertake to show that Kant’s distinction between the “pure forms of intuition” and “pure formal intuition” is successful in its attempt to prove that all sensible intuitions presuppose the a priori categories, in a way which is compatible, (...) I claim, with Kant’s statements (in the Aesthetic and elsewhere) that sensible intuition is prior to all concepts; and therefore that the Transcendental Aesthetic presupposes the Transcendental Analytic. Thus my Interpretation is a "conceptualist" reading of the deduction, in holding that perception, as receptivity, presupposes an underlying spontaneity of the pure understanding and categories. The categories are held to be not just compatible with all possible sensible intuitions, but through their "transcendental content" constitutive of the relation of sensible intuitions to objects - and this explains how our thought can represent objects a priori. It is one of the claims of my interpretation that the logical forms of judgment of general logic derive from the pure categories of transcendental logic, rather than vice-versa. I.e. that the logical forms through which we make empirical judgments by combining analytical concepts in inner sense in time, are originally grounded in an atemporal categorial synthesis in pure intuition (i.e. in the form of time but not the dimension of time), referring an outer intuition in general to the transcendental object of intuition (as “something in general” outside sensibility or receptivity), thereby providing the synthetic unity of the manifold which “..all analysis presupposes.” My conceptualist reading of the deduction, I claim, avoids the problems associated with other conceptualist readings, for example inconsistency with the text (“Intuitions are prior to all concepts.” etc.) and blurring of the distinction between receptivity and spontaneity. In my paper I prove that the categories can correctly be held to provide the a priori unity of intuitions, notwithstanding the fact that the latter are “prior to all concepts,” because this unity is not provided by the categories as fully-fledged concepts in the empirical subject, but as the transcendental logical form of these concepts, as a unity in the pure understanding - and the categories therefore require their empirical content or application for their objective reality as concepts. I.e. the categories, as logical functions of judgment for transcendental apperception, in the pure forms of intuition, are prior to all "concepts", correctly speaking, as well as prior to all intuitions, and provide the necessary unity of both. Likewise, at the empirical level my version of conceptualism cannot be accused of blurring the distinction between receptivity and spontaneity, or sensibility and understanding, because although the transcendental content of the categories, as a logical function of judgment in the pure forms of intuition, in transcendental apperception, is in necessary relation to sensibility (in combining the manifold in the pure or formal representation of the transcendental object) their empirical content is not. - At the empirical level the divide between spontaneity (as judgment in the empirical subject) and receptivity (as the effect of transcendental synthesis and the transcendental object on outer and inner sense) remains intact. Conceptualist readings of the deduction also have to avoid infringing Kant’s requirement that the sensible manifold originally be given prior to and independently of all acts of the understanding, or otherwise to qualify the requirement in some way - e.g. by taking a Hegelian direction, such as that taken by John McDowell. On my reading of the deduction the sensible manifold given indeterminately in the pure forms of space and time must be given prior to the categorial synthesis of the manifold in the pure representation of the transcendental object, i.e. in the pure 'concept' of an object in general affecting sensibility. Therefore Kant’s requirement for an undetermined manifold given prior to, and independently of, all acts of the understanding (“..the manifold to be intuited must be given prior to the synthesis of understanding, and independently of it. How this takes place, remains here undetermined” [cf.B145/146]) is not infringed. In a later section of the paper, however, I will argue that the transcendental object (of intuition) does have pure theoretical reason as one of its two interacting immanent aspects, but is distinct from pure theoretical reason in the other of its (the transcendental object of intuition's) two interacting immanent aspects, i.e. pure will, which adds a Schopenhauerian element to my interpretation (which will be argued for in a way which supports Kantian optimism over Schopenhauerian pessimism however, in regard to the freedom of the will). Another perceived inconsistency in the deduction, which my interpretation can explain, is Kant’s description (in the B deduction) of the principle of the necessary synthetic unity of apperception as analytic, while in the A deduction it is described as synthetic. I explain this as a difference in the reference of terms such as “my representations” in the two versions - a transcendental reference in the B version but an empirical and transcendental reference in the A version of the principle. I also show that the first part of the two-step B deduction can correctly be characterised by Kant as analytic and the second, concluding part, synthetic (a point of dispute amongst Kant scholars) because transcendental logic (which refers to both the analytic and synthetic aspects of the principle of apperception) “does not abstract from the pure content of knowledge.” While being a “double aspect” rather than “two world” view of transcendental Idealism (because objects of intuition are comprised of both the empirical and transcendental object, i.e. transcendental referent, of intuition, my view differs significantly from the “double aspect” interpretation of Henry Allison (which distinguishes empirical reality from the “God’s eye” view). The view of transcendental idealism resulting from my reading of the deduction, I claim, allows a full empirical realism, because empirical intuitions, as objects of cognition, are the appearance of both the transcendental subject and the transcendental object (i.e. transcendental referent ) of transcendental synthesis (both as “something in general” outside sensibility or receptivity, or rather outside sensibility as receptivity). I conclude that Kant succeeds (although only with the addition of what I have called my 'Schopenhauerian element') in his attempt to prove that we have a transcendental unity of apperception which both constitutes, and is constituted by, the relation of sensible representations to objects, and that since transcendental apperception is the a priori underlying ground of empirical apperception, the categories (as the logical functions of judgment by which transcendental apperception relates sensible representations to objects) are the a priori underlying ground of all experience, and are therefore valid synthetically a priori for all objects of experience. (shrink)

Is Kant a conceptualist or a nonconceptualist? Very roughly, this amounts to the following question: Do intuitions depend on concepts in order to represent objects? Much recent Kant scholarship is devoted to answering this question, which is of interest not only for its connection to contemporary debates in philosophy of mind and perception, but also because the answer one provides has important implications for how one understands crucial features of Kant’s account of cognition. In this extended review essay, I examine (...) how the authors in this volume, most of whom adopt some version of nonconceptualism, approach the following three questions: (1) Is the unity of the pure intuition of space as an all-encompassing whole independent of the understanding, and if so, what follows with respect to the unity of empirical intuitions? (2) When Kant says that all objects of the senses stand under the categories, does this mean that the categories play a role in generating intuitions, or is there a way of understanding this claim that is compatible with nonconceptualism (according to which intuitions do not depend on concepts in order to be intuitions)? And finally, (3) Are intuitions representational or relational states and what implications does this have for how we understand the role of intuitions in establishing real possibility? (shrink)

In his famous work on vagueness, Russell named “fallacy of verbalism” the fallacy that consists in mistaking the properties of words for the properties of things. In this paper, I examine two (clusters of) mainstream paraconsistent logical theories – the non-adjunctive and relevant approaches –, and show that, if they are given a strongly paraconsistent or dialetheic reading, the charge of committing the Russellian Fallacy can be raised against them in a sophisticated way, by appealing to the intuitive reading of (...) their underlying semantics. The meaning of “intuitive reading” is clarified by exploiting a well-established distinction between pure and applied semantics. If the proposed arguments go through, the dialetheist or strong paraconsistentist faces the following Dilemma: either she must withdraw her claim to have exhibited true contradictions in a metaphysically robust sense – therefore, inconsistent objects and/or states of affairs that make those contradictions true; or she has to give up realism on truth, and embrace some form of anti-realistic (idealistic, or broadly constructivist) metaphysics. Sticking to the second horn of the Dilemma, though, appears to be promising: it could lead to a collapse of the very distinction, commonly held in the literature, between a weak and a strong form of paraconsistency – and this could be a welcome result for a dialetheist. (shrink)

This paper addresses a number of closely related questions concerning Kant's model of intentionality, and his conceptions of unity and of magnitude [Gröβe]. These questions are important because they shed light on three issues which are central to the Critical system, and which connect directly to the recent analytic literature on perception: the issues are conceptualism, the status of the imagination, and perceptual atomism. In Section 1, I provide a sketch of the exegetical and philosophical problems raised by Kant's views (...) on these issues. I then develop, in Section 2, a detailed analysis of Kant's theory of perception as elaborated in both the Critique of Pure Reason and the Critique of Judgment; I show how this analysis provides a preliminary framework for resolving the difficulties raised in Section 1. In Section 3, I extend my analysis of Kant's position by considering a specific test case: the Axioms of Intuition. I contend that one way to make sense of Kant's argument is by juxtaposing it with Russell's response to Bradley's regress; I focus in particular on the concept of ‘unity’. Finally, I offer, in Section 4, a philosophical assessment of the position attributed to Kant in Sections 2 and 3. I argue that, while Kant's account has significant strengths, a number of key areas remain underdeveloped; I suggest that the phenomenological tradition may be read as attempting to fill precisely those gaps. (shrink)

In this paper, I argue that although Kant’s account of empirical schemata in the Critique of Pure Reason is primarily used to explain the shared content of intuitions and empirical concepts, it is also informed by methodological problems in natural history. I argue that empirical schemata, which are rules for determining the spatiotemporal form of objects, not only serve to connect individual intuitions with concepts, but also concern the very features of objects on the basis of which they were (...) connected and ordered in taxonomic systems based on similarity of form. I then suggest that Kant likely had scientific illustrations in mind in his discussion of empirical images in the Schematism chapter and that his account of schemata can help explain the epistemic function of these images in early modern science. (shrink)

Does Kant hold that we can have intuitions independently of concepts? A striking passage from § 13 of the Critique of Pure Reason appears to say so explicitly. However, it also conjures up a scenario where the categories are inapplicable to objects of intuition, a scenario presumably shown impossible by the following Transcendental Deduction. The seemingly non-conceptualist claim concerning intuition have therefore been read, by conceptualist interpreters of Kant, as similarly counterpossible. I argue that the passage in (...) question best supports an underappreciated middle position where intuition requires a pre-conceptual use of the understanding. Such pre-conceptual use of the understanding faces both textual and systematic objections. I show that these objections can be rebutted. (shrink)

: In the first edition of his book on the completeness of Kant’s table of judgments, Klaus Reich shortly indicates that the B-version of the metaphysical exposition of space in the Critique of pure reason is structured following the inverse order of the table of categories. In this paper, I develop Reich’s claim and provide further evidence for it. My argumentation is as follows: Through analysis of our actually given representation of space as some kind of object, the metaphysical (...) exposition will show that this representation is secondary to space considered as an original, undetermined and as such unrepresentable intuitive manifold. Now, following Kant, the representation of any kind of object involves diversity, synthesis and unity. In the case of our representation of space as formal intuition, this involves, firstly, a manifold a priori, i.e. space as pure form, delivered by the transcendental Aesthetic, secondly, a figurative, productive synthesis of that manifold, and, thirdly, the unity provided by the categories. Analysing our given representation of space – the task of the metaphysical exposition – amounts to dismantling its unity and determine its characteristics with respect to the categories. (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)

It is a common intuition in scientific practice that positive instances confirm. This confirmation, at least based purely on syntactic considerations, is what Nelson Goodman’s ‘Grue Problem’, and more generally the ‘New Riddle’ of Induction, attempt to defeat. One treatment of the Grue Problem has been made along Bayesian lines, wherein the riddle reduces to a question of probability assignments. In this paper, I consider this so-called Bayesian Grue Problem and evaluate how one might proffer a solution to this (...) problem utilizing what I call a phenomenological approach. I argue that this approach to the problem can be successful on the Bayesian framework. (shrink)

On the one hand, Scheler's critique of Kant's concept of a priori benefits from Husserl to a large extent, and it complements and deepens Husserl's. On the other hand, Scheler also critiques Husserl's definition of a priori. Husserl's material a priori as ideal object primarily thanks to his so-called "Bolzano- turn". In this connection, Scheler grabs hold of the relation of Husserl to Bolzano from the very beginning. For Scheler, Husserl thinks in a "platonic" way, and still falls in a (...) new type of "Platonism", or rather, logical Platonism, although he correctly refuses the ordinary Platonism. In Scheler's view, Husserl's phenomenological reduction is "not purely" executed, and therefore his phenomenological experience is problematic, or more precisely, the relation between categorial intuition and sensuous intuition is problematic. The final aim of Scheler's critique of Husserl's phenomenological understanding of "objective a priori" is to win the primary position of categorial intuition and its content , ethical insight and its correlate , and ultimately of phenomenological ethics of material value.Einerseits nimmt Schelers Kritik an Kant bezüglich des Begriffs des Apriori die Einsichten Husserls in großem Umfang auf. Schelers Kritik an Kant ergänzt und vertieft die Husserlsche Kant-Kritik. Andererseits kritisiert er aber auch Husserls Bestimmung des Apriori. Vor allem verdankt sich das materiale Apriori als idealer Gegenstand bei Husserl der sogenannten “Bolzano’schen Wendung”. Von Anfang an kritisiert Scheler Husserl in diesem Punkt, indem er dem Verhältnis zwischen Bolzano und Husserl immer präziser nachging. Für Scheler unterliegt Husserl mit Recht keinem platten Platonismus. Aber dennoch verfahre Husserl immerhin “platonistisch”, er unterliege einem “Neoplatonismus”, bzw. einem logischen Platonismus. Weil die phänomenologische Reduktion bei Husserl nach Schelers Meinung “nicht reinlich” durchgeführt wird, ist die phänomenologische Erfahrung bei Husserl problematisch, genauer gesagt ist das Verhältnis zwischen der kategorialen Anschauung und der sinnlichen Anschauung problematisch. Der Endzweck von Schelers Kritik an der phänomenologischen Auffassung des gegenständlichen Apriori bei Husserl besteht darin, die primäre Stelle der kategorialen Anschauung und ihrer Gehalte , sowie der sittlichen Einsicht und ihrer Korrelate und zuletzt der phänomenologisch materialen Wertethik zu gewinnen.S jedne strane, Schelerova kritika Kantova pojma a priori u velikoj mjeri duguje Husserlu, te dopunjuje i produbljuje Husserlovu. S druge strane, Scheler kritizira i Husserlovu definiciju apriorija. Husserlov materijalni a priori kao idealni predmet prvenstveno proizlazi iz njegova takozvanog bolzanovskog obrata. Prema Scheleru, Husserl razmišlja na "platonski" način te upada u novi tip "platonizma" ili, točnije, logičkog platonizma, iako s pravom odbacuje obični platonizam. Scheler smatra da Husserlova fenomenološka redukcija nije izvedena "čisto" te da je stoga njegovo fenomenološko iskustvo proble- matično ili, točnije, problematičan je odnos između kategorijalnog zora i osjetilnog zora. Krajnji cilj Schelerove kritike Husserlova fenomenološkog shvaćanja "objektivnog a priori" jest zadobivanje primarne pozicije kategorijalnog zora i njegova sadržaja , etičkog uvida i njegova korelata te, na koncu, fenomenološke etike materijalne vrijednosti. (shrink)

Recent developments in pure mathematics and in mathematical logic have uncovered a fundamental duality between "existence" and "information." In logic, the duality is between the Boolean logic of subsets and the logic of quotient sets, equivalence relations, or partitions. The analogue to an element of a subset is the notion of a distinction of a partition, and that leads to a whole stream of dualities or analogies--including the development of new logical foundations for information theory parallel to Boole's development (...) of logical finite probability theory. After outlining these dual concepts in mathematical terms, we turn to a more metaphysical speculation about two dual notions of reality, a fully definite notion using Boolean logic and appropriate for classical physics, and the other objectively indefinite notion using partition logic which turns out to be appropriate for quantum mechanics. The existence-information duality is used to intuitively illustrate these two dual notions of reality. The elucidation of the objectively indefinite notion of reality leads to the "killer application" of the existence-information duality, namely the interpretation of quantum mechanics. (shrink)

This contribution examines two radically different explanations of our phenomenal intuitions, one reductive and one strongly non-reductive, and identifies two germane ideas that could benefit many other theories of consciousness. Firstly, the ability of sophisticated agent architectures with a purely physical implementation to support certain functional forms of qualia or proto-qualia appears to entail the possibility of machine consciousness with qualia, not only for reductive theories but also for the nonreductive ones that regard consciousness as ubiquitous in Nature. Secondly, analysis (...) of introspective psychological material seems to hint that, under the threshold of our ordinary waking awareness, there exist further ‘submerged’ or ‘subliminal’ layers of consciousness which constitute a hidden foundation and support and another source of our phenomenal intuitions. These ‘submerged’ layers might help explain certain puzzling phenomena concerning subliminal perception, such as the apparently ‘unconscious’ multisensory integration and learning of subliminal stimuli. (shrink)

Show more ▾ There are various dichotomies in Kant’s philosophy: sensibility vs. rationality, nature vs. freedom, cognition vs. morality, noumenon vs. phenomenon, among others. There are also different ways of mediating these dichotomies, which is the systematic undertaking of Kant’s Critique of the Power of Judgment. One of the most important concepts in this work is the sublime, which exemplifies the connections between the different dichotomies; this fact means the concept’s construction is full of tension. On the one hand, as (...) a pure reflection of aesthetic judgment the sublime must be without interest or purpose, but on the other hand it is “based on the concept of reason” (KU AA:292). On the one hand, the sublime “represents merely the subjective play of the powers of the mind (imagination and reason) as harmonious” (KU AA5:258), but on the other hand, reason “exercises dominion over sensibility” and the imagination is “purposively determined in accordance with a law” of reason (KU AA5:268f). Taking into account these problems concerning the essential definition the sublime, this paper will first illustrate how the sublime embodies the a priori principle of aesthetic judgment through contrasting the judgment of the sublime with the judgment of taste in order to establish a basic logical frame for the judgment of the sublime. Second, this paper redefines the boundary between the mathematically and dynamically sublime in order to reveal both the coexistence of contemplation and movement within the sublime and the unrevealed function of reason and imagination. Finally, contrasting the sublime with moral feeling, this paper elaborates the turning-structure (from sensibility to rationality and from object-intuition to idea-exhibition) of the sublime. (shrink)

In the Critique of Pure Reason, Kant defends the mathematically deterministic world of physics by arguing that its essential features arise necessarily from innate forms of intuition and rules of understanding through combinatory acts of imagination. Knowing is active: it constructs the unity of nature by combining appearances in certain mandatory ways. What is mandated is that sensible awareness provide objects that conform to the structure of ostensive judgment: “This (S) is P.” -/- Sensibility alone provides no such (...) objects, so the imagination compensates by combining passing point-data into “pure” referents for the subject-position, predicate-position, and copula. The result is a cognitive encounter with a generic physical object whose characteristics—magnitude, substance, property, quality, and causality—are abstracted as the Kantian categories. Each characteristic is a product of “sensible synthesis” that has been “determined” by a “function of unity” in judgment. -/- Understanding the possibility of such determination by judgment is the chief difficulty for any rehabilitative reconstruction of Kant’s theory. I will show that Kant conceives of figurative synthesis as an act of line-drawing, and of the functions of unity as rules for attending to this act. The subject-position refers to substance, identified as the objective time-continuum; the predicate-position, to quality, identified as the continuum of property values (constituting the second-order type named by the predicate concept). The upshot is that both positions refer to continuous magnitudes, related so that one (time-value) is the condition of the other (property-value). -/- Kant’s theory of physically constructive grammar is thus equivalent to the analytic-geometric formalism at work in the practice of mathematical physics, which schematizes time and state as lines related by an algebraic formula. Kant theorizes the subject–predicate relation in ostensive judgment as an algebraic time–state function. When aimed towards sensibility, “S is P” functions as the algebraic relation “t → ƒ(t).”. (shrink)

In this paper I argue that the search for explainable models and interpretable decisions in AI must be reformulated in terms of the broader project of offering a pragmatic and naturalistic account of understanding in AI. Intuitively, the purpose of providing an explanation of a model or a decision is to make it understandable to its stakeholders. But without a previous grasp of what it means to say that an agent understands a model or a decision, the explanatory strategies will (...) lack a well-defined goal. Aside from providing a clearer objective for XAI, focusing on understanding also allows us to relax the factivity condition on explanation, which is impossible to fulfill in many machine learning models, and to focus instead on the pragmatic conditions that determine the best fit between a model and the methods and devices deployed to understand it. After an examination of the different types of understanding discussed in the philosophical and psychological literature, I conclude that interpretative or approximation models not only provide the best way to achieve the objectual understanding of a machine learning model, but are also a necessary condition to achieve post hoc interpretability. This conclusion is partly based on the shortcomings of the purely functionalist approach to post hoc interpretability that seems to be predominant in most recent literature. (shrink)

Cusanus, Abstract As a rule Cusanus is interpreted in a theological way, under strong theological presuppositions and within the range of religion. This may be quite understandable since he was a cardinal and had important functions in the Papal States. But, what are the results, when we read his texts under pure philosophical conditions? We may see then that some of his texts are meant neither to assert a belief nor to search for reasons for it, but only to (...) reflect upon the presuppositions of this belief and its different traditions. Instead of asserting his belief Cusanus is beginning to reflect upon his presupositions. We try to give an exemple for this shift with the first proposition in the collection of propositions that follow the dialog De non aliud: „definitio quae se et omnia definit, ea est, quae per omnem mentem quaeritur.“ We will see a quite another Cusanus. Cusanus picks up „definitio“ in the sense of self-determination, developped in the dialog. He begins in quite a traditional manner and ends in a supremely abstract and speculative intuition. The 'Not-other' determines itself in a vision; this vision is an order in which every thing gets its proper place; we as human beings aspire to repeat this vision in our mental life in contact with the world. In this way Cusanus does what all great philosophers do: he reflects in a given set of opinions what is the meaning of „to be“. (shrink)

Tschumi believes that the quality of architecture depends on the theoretical factor it contains. Such a view led to the creation of architecture that would achieve visibility and comprehensibility only after its interpretation. On his way to creating such an architecture he took on a purely philosophical reflection on the basic building block of architecture, which is space. In 1975, he wrote an essay entitled Questions of Space, in which he included several dozen questions about the nature of space. The (...) questions he formulated could be regarded as analogous to the situation in the philosophy of the time, in which the interest in questioning the most obvious forms of understanding the world and intellectual categories increased. The research on space is an area common to many fields of natural sciences, humanities and artistic creation, but it also deals with other problems, such as issues of experience. The concept of space-time continuum proposed by Hermann Minkowski drew attention to the identity of time and space with the events taking place. Probably regardless of the postulates of physicists commenting on Einstein’s discoveries, also in philosophy it increased the importance of the concept of the event which became dominant in Heidegger’s latest work Contributions of Philosophy. Of the event. Furthermore, Tschumi’s reflections on space entered into relation with the problem of experience, which aroused the interest of a group of French philosophers trying to assimilate Georges Bataille’s concept of “inner experience”. Both Tschumi and Derrida referred to Bataille because his views could be used not only to modify the concept of the subject, but also to change the understanding of what constitutes the area of architecture. The discussion on experience has led to the recognition that the subject is not sovereign, but actually a form of what is on their outside. Such insights make it possible to treat the area of the Parc de La Villette as existing mainly when it is organised by its users. The decisive features of the Park are its assumptions, according to which it is a variety of active void that leads to agreeing new social relations with it. The park does not force to participate in already existing moral or political communities, but tries to move into an unknown future in which the scope of free functioning of individuals will be increased. Doubts about the principles of functioning of the individual self and its discovery as a whole composed of non-coherent parts, as well as its dependence on its own depth full of disordered forces, influenced the understanding of architecture as a set of contradictions whose source is a fundamental void anticipating the empty phenomenal space. The use of this phenomenal void in architecture, as well as the rejection of the whole and unity, had a specific political purpose and drew its inspiration from political analyses. In the Parc de La Villette, metaphysics and politics were brought closer together because the philosophy of void was used to create new conditions for community action. It can be argued that the source of this philosophy was the perception of errors in existing societies dependent on the shortcomings of traditional metaphysics. Spacing (espacement) was one of the key terms in Derrida’s philosophy, which was also combined with the concepts of différance and chôra. The study of the nature of space, especially its transition from the level of pure possibility to the level of sensual phenomenon, also contributes to understanding how well designed space can have an impact on its audience. This explanation is based on Tschumi’s assumption that the space of the Parc de La Villette contradicts the integrating approaches and instead exposes contradictions, but it does so in a way that combines incompatible properties into a single piece of architecture. The specificity of such integration is similar to the invention of a musical phrase, which is an ideological message: moral and political. Such a thesis may raise doubts, however, if both the clearly adopted assumptions and those deduced from the work allow for their ↪Quart Nr 2(52)/2019 logically ordered presentation then to a limited extent it may be assumed that the work has achieved a connection between a specific philosophy of space and its practical application. Derrida combined the problem of spatiality with the problem of transcendental imagination in Kant’s philosophy, who in the first version of Critique of Pure Reason assumed that pure imagination precedes the appearance of time and space, even in their transcendental forms. The imagination in such a situation can be described as a factor activating time and space, which indicates what function is played by movement in this activity. This leads us to recognize that the ultra originary source of pure forms of sensual intuition is movement, which in early Greek philosophy was identified with void and its lack of resistance to phenomena occurring in it. Derrida’s philosophy in search of a certain super-transcendental source of time and space pointed to différance which, like void or the chôra, does not have material features or even any other form of being. Différance is the primary cause of the disruption of motionlessness and the introduction of activity into motionless time and space, thus its activity can be described as spacing (espacement). Derrida’s discoveries in this respect are not entirely original, because Hegel already pointed out when examining the present that it is primarily a differential relation (differente Beziehung), which, being seemingly neutral, influences the present with supernatural force and makes it unidentifiable with itself. Differente Beziehung must similarly influence the originary space, negating its initial character by multiplying its divisions and expanding its boundaries. Différance acts by revealing contradictions wherever there is apparent undifferentiation. Tschumi, composing the Parc de La Villette as a variety of void and a set of incompatible layers, followed the rules of différance or the chôra: he made void visible together with its saturation with contradictions. If space can be considered to be the result of the activity of difference, such activity has a certain regularity, which influences the behaviour of its observers. Differences or contradictions fall into a certain rhythm, which can be considered a manifestation of transcendent order. The problem is that what can be considered the source of such order, namely the logos or God, is partly disorder and error. According to descriptions contained in Timaeus, the world is a combination of forces that drive to order with forces of erroneous necessity that resounds in every order and forces it to return to disorder. Derrida denied the possibility of understanding différance as a theological value, even if it were a negative or apophatic theology, but no categorical denial could be perfect. The assumption that différance or the chôra are not endowed with any substance properties cannot deny their activity, and thus a certain force. Already since Democritus, philosophy has multiplied the names of such a force and the contradictory variety of its manifestations, never forgetting also the necessity for reason to withdraw from the possibility of giving its correct characteristics. Such a withdrawal may be interpreted as an expression of respect and, in certain situations, as a cult of the force that precedes reasonableness. The Parc de La Villette, which is an artistic divagation about the contradictions and forces behind them, can be considered as a place of their sublimation, and therefore as a variation of the temple of what differs from order and disorder. (shrink)

This paper concerns non-causal normative explanations such as ‘This act is wrong because/in virtue of__’. The familiar intuition that normative facts aren't brute or ungrounded but anchored in non- normative facts seems to be in tension with the equally familiar idea that no normative fact can be fully explained in purely non- normative terms. I ask whether the tension could be resolved by treating the explanatory relation in normative explanations as the sort of ‘grounding’ relation that receives extensive discussion (...) in recent metaphysics. I argue that this would help only under controversial assumptions about the nature of normative facts, and perhaps not even then. I won't try to resolve the tension, but draw a distinction between two different sorts of normative explanations which helps to identify constraints on a resolution. One distinctive constraint on normative explanations in particular might be that they should be able to play a role in normative justification. (shrink)

Through the philosophies of Bergson and Deleuze, my paper explores a different theory of time. I reconstitute Deleuze’s paradoxes of the past in Difference and Repetition and Bergsonism to reveal a theory of time in which the relation between past and present is one of coexistence rather than succession. The theory of memory implied here is a non-representational one. To elaborate this theory, I ask: what is the role of the “virtual image” in Bergson’s Matter and Memory? Far from representing (...) the simple afterimage of a present perception, the “virtual image” carries multiple senses. Contracting the immediate past for the present, or expanding virtually to hold the whole of memory (and even the whole of the universe), the virtual image can form a bridge between the present and the non-representational past. This non-representational account of memory sheds light not only on the structure of time for Bergson, but also on his concepts of pure memory and virtuality. The rereading of memory also opens the way for Bergsonian intuition to play an intersubjective role; intuition becomes a means for navigating the resonances and dissonances that can be felt between different rhythms of becoming or planes of memory, which constitute different subjects. (shrink)