Mathematizing phenomenology

Husserl is well known for his critique of the “mathematizing tendencies” of modern science, and is particularly emphatic that mathematics and phenomenology are distinct and in some sense incompatible. But Husserl himself uses mathematical methods in phenomenology. In the first half of the paper I give a detailed analysis of this tension, showing how those Husserlian doctrines which seem to speak against application of mathematics to phenomenology do not in fact do so. In the second half of the paper I focus on a particular example of Husserl’s “mathematized phenomenology”: his use of concepts from what is today called dynamical systems theory.

Persisting problems for a quantificational theory of complex demonstratives

I criticized Jeffrey King’s theory of complex demonstratives in “Problems for a Quantificational Theory of Complex Demonstratives.” King replied in “Complex Demonstratives as Quantifiers: Objections and Replies.” I here comment on some of King’s replies.

Sortals for Dummies

Advocates of sortal essentialism have argued that concepts like “thing” or “object” lack the unambiguous individuative criteria necessary to play the role of genuine sortals in reference. Instead, they function as “dummy sortals” which are placeholders or incomplete designations. In disqualifying apparent placeholder sortals, however, these philosophers have posed insuperable problems for accounts of childhood conceptual development. I argue that recent evidence in psychology demonstrates that children do possess simple or basic sortals of physical objects or things. I contend that these concepts provide the genuine individuative criteria necessary for reference. As a consequence, sortalism can be made compatible with the developmental facts of conceptual development.

Towards a New Epistemology of Mathematics

In this introduction we discuss the motivation behind the workshop “Towards a New Epistemology of Mathematics” of which this special issue constitutes the proceedings. We elaborate on historical and empirical aspects of the desired new epistemology, connect it to the public image of mathematics, and give a summary and an introduction to the contributions to this issue.

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Proliferation of Western Methodological Thought in Psychology in Japan: Ways of Objectification

When the field of psychology was first introduced into Japan, it was based on the proliferation of Western thought, particularly experimentation and Darwinian evolutionary theory. The current Japanese word for psychology, shinrigaku, was coined by scholar Amane Nishi in the early 1870s. It originally meant “mental philosophy,” not psychology. Nishi also translated “subject” and “object” into Japanese. Before that, objectivity was not a concept in Japan. And although psychological experimentation must have prompted the subject/object division, experiments did not take root in Japanese psychology until Yujiro Motora, considered the founder of Japanese psychology, established the first psychological laboratory in 1903 at the University of Tokyo. In regards to Darwinian evolutionary theory, it is likely that scholars (e.g., biologists, sociologists, politicians) more readily accepted the theory when introduced into Japanese society in the 1870s because Japanese embrace a view that maintains diffuse boundaries between humans and animals. Finally, the roles of Japanese scholars who studied abroad during of the inception of psychology in Japan are discussed.

The Problem of Moral Spontaneity in the Guodian Corpus

This paper discusses certain conceptual tensions in a set of archeological texts from the Warring States period, the Guodian corpus. One of the central themes of the Guodian corpus is the disanalogy between spontaneous, natural familial relationships and artificial political relationships. This is problematic because, like many early Chinese texts, the Guodian corpus believes that political relationships must come to be characterized by unselfconsciousness and spontaneity if social order is to prevail. This tension will be compared to my earlier work on the “paradox of wu-wei (effortless action),” and the Guodian corpus’ “solution” to the problem of teaching spontaneity—drawing upon the transformative power of music—will be placed within the landscape of early “Confucian” and “Daoist” theories concerning human nature and self-cultivation.

Explanation and Understanding: Action as “Historical Structure”

The first part of this essay is basically historical. It introduces the explanation–understanding divide, focusing in particular on the general–unique distinction. The second part is more philosophical and it presents two different claims on action. In the first place, I will try to say what it means to understand an action. Secondly, we will focus on the explanation of action as it is seen in some explanatory sciences. I will try to argue that in some cases these sciences commit what I call an “external contradiction”.

Experimental Mathematics

The rise of the field of “experimental mathematics” poses an apparent challenge to traditional philosophical accounts of mathematics as an a priori, non-empirical endeavor. This paper surveys different attempts to characterize experimental mathematics. One suggestion is that experimental mathematics makes essential use of electronic computers. A second suggestion is that experimental mathematics involves support being gathered for an hypothesis which is inductive rather than deductive. Each of these options turns out to be inadequate, and instead a third suggestion is considered according to which experimental mathematics involves calculating instances of some general hypothesis. The paper concludes with the examination of some philosophical implications of this characterization.

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Revisiting the Censure Theory of Punishment

This paper is a rejoinder to Thaddeus Metz’s article “Censure Theory Still Best Accounts for Punishment of the Guilty: Reply to Montague.” In his article, Metz attempts to answer objections to censure theory that I had raised previously. I argue in my rejoinder that Metz’s defense of censure theory remains seriously problematic despite what he says in his reply.

Kantian non-conceptualism

There are perceptual states whose representational content cannot even in principle be conceptual. If that claim is true, then at least some perceptual states have content whose semantic structure and psychological function are essentially distinct from the structure and function of conceptual content. Furthermore the intrinsically “orientable” spatial character of essentially non-conceptual content entails not only that all perceptual states contain non-conceptual content in this essentially distinct sense, but also that consciousness goes all the way down into so-called unconscious or subpersonal mental states. Both my argument for the existence of essentially non-conceptual content and my theory of its structure and function have a Kantian provenance.

Kant’s Theory of Arithmetic: A Constructive Approach?

Kant’s theory of arithmetic is not only a central element in his theoretical philosophy but also an important contribution to the philosophy of arithmetic as such. However, modern mathematics, especially non-Euclidean geometry, has placed much pressure on Kant’s theory of mathematics. But objections against his theory of geometry do not necessarily correspond to arguments against his theory of arithmetic and algebra. The goal of this article is to show that at least some important details in Kant’s theory of arithmetic can be picked up, improved by reconstruction and defended under a contemporary perspective: the theory of numbers as products of rule following construction presupposing successive synthesis in time and the theory of arithmetic equations, sentences or “formulas”—as Kant says—as synthetic a priori. In order to do so, two calculi in terms of modern mathematics are introduced which formalise Kant’s theory of addition as a form of synthetic operation.

Two-dimensionalism and the epistemology of recognition

There is reason to expect a reasonable account of a priori knowledge to be linked with an account of the nature of conceptual thought. Recent “two-dimensionalist” accounts of conceptual thought propose an extremely direct connection between the two: on such views, being in a position to know a priori a large number of non-trivial propositions is a necessary condition of concept-possession. In this paper I criticize this view, by arguing that it requires an implausibly internalist and intellectualist conception of capacities we bring to bear in applying concepts in experience. Empirical concept-application depends on the exercise of a variety of capacities, many of which can be grouped together under the general label “recognitional”. As I argue, two-dimensionalism cannot accommodate a plausible account of such capacities. This suggests that the link between a priori knowledge and the nature of conceptual thought is not as direct as twodimensionalists take it to be. I close by briefly sketching a different way to think of that link.

Relational Services

Recent research projects have looked for social innovations, i.e., people creating solutions outside the mainstream patterns of production and consumption. An analysis of these innovations indicates the emergence of a particular kind of service configuration—defined here as relational services—which requires intensive interpersonal relations to operate. Based on a comparative analysis between standard and relational services, we propose to the Service Design discipline an interpretative framework able to reinforce its ability to deal with the interpersonal relational qualities in services, indicating how these qualities can be understood and favored by design activities, as well as the limits of this design intervention. Martin Buber’s conceptual framework is presented as the main interpretative basis. Buber describes two ways of interacting (“I-Thou” and “I-It”). Relational services are those most favoring “I-Thou” interpersonal encounters.

Deeper Affinities: Fundamental Resonances Between Psychoanalysis and Religion

This essay considers how we “create meaning” in the interplay of “felt sense” and “symbols,” and examines the direct and immediate interplay between some common everyday experiences and a series of concepts from psychoanalytic perspectives to reveal how this interplay has affinities with religion. Psychoanalysis and religion are overlapping projects. Psychoanalytic symbolizing of experience facilitates our knowing features of religion not previously known, as well as knowing features previously known, in new ways.

Credibility, Idealisation, and Model Building: An Inferential Approach

In this article we defend the inferential view of scientific models and idealisation. Models are seen as “inferential prostheses” (instruments for surrogative reasoning) construed by means of an idealisation-concretisation process, which we essentially understand as a kind of counterfactual deformation procedure (also analysed in inferential terms). The value of scientific representation is understood in terms not only of the success of the inferential outcomes arrived at with its help, but also of the heuristic power of representation and their capacity to correct and improve our models. This provides us with an argument against Sugden’s account of credible models: the likelihood or realisticness (their “credibility”) is not always a good measure of their acceptability. As opposed to “credibility” we propose the notion of “enlightening”, which is the capacity of giving us understanding in the sense of an inferential ability.

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Enactive appraisal

Emotion theorists tend to separate “arousal” and other bodily events such as “actions” from the evaluative component of emotion known as “appraisal.” This separation, I argue, implies phenomenologically implausible accounts of emotion elicitation and personhood. As an alternative, I attempt a reconceptualization of the notion of appraisal within the so-called “enactive approach.” I argue that appraisal is constituted by arousal and action, and I show how this view relates to an embodied and affective notion of personhood.

Remarks on Grandi’s Comments

This note is a reply to some of Giovanni Grandi’s comments on my paper “Berkeley’s Contingent Necessities.”

The Ethics of Academic Journal Editing

This paper amounts to a reply to Professor Donald G. Brown’s thoughtful comment on my “Ethical Issues in Journal Peer-Review”, which appeared in this journal.

The Alienating Mirror: Toward a Hegelian Critique of Lacan on Ego-Formation

This article brings out certain philosophical difficulties in Lacan’s account of the mirror stage, the initial moment of the subject’s development. For Lacan, the “original organization of the forms of the ego” is “precipitated” in an infant’s self-recognition in a mirror image; this event is explicitly prior to any social interactions. A Hegelian objection to the Lacanian account argues that social interaction and recognition of others by infants are necessary prerequisites for infants’ capacity to recognize themselves in a mirror image. Thus mutual recognition with another, rather than self-recognition in a mirror, is what makes possible subsequent ego-formation and self-consciousness. This intersubjective critique suggests that many of the psychoanalytic consequences that Lacan derives from the mirror stage (e.g., alienation, narcissism, and aggressivity) may need to be rethought.