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.

---

Factors affecting responses to Likert type questionnaires: introduction of the ImpExp,a new comprehensive model

The major purpose of this paper is to propose a comprehensive model describing the effects of response sets within the theory framework of the stages of responding to questionnaires, and taking into account the effects of collectivist and individualist attributes within cross-cultural contexts. The introduction of this model aims to provide a construct that may help minimize biases in questionnaire-based research as well as providing new directions for theoretical and empirical research in the field of response sets.

Math Preference and Mastery Relationship in Middle School Students with Autism Spectrum Disorders

We conducted this study to determine the relationship between math preference and mastery for five middle school students with autism spectrum disorders. We randomly presented several math addition and subtraction problem formats to determine the students’ preferences. Results indicated that preference was idiosyncratic across students. In addition, preference was not related to mastery in some students. Results are discussed within a theoretical framework of matching law. Implications for practitioners are discussed.

Collins’s incorrect depiction of Dreyfus’s critique of artificial intelligence

Harry Collins interprets Hubert Dreyfus’s philosophy of embodiment as a criticism of all possible forms of artificial intelligence. I argue that this characterization is inaccurate and predicated upon a misunderstanding of the relevance of phenomenology for empirical scientific research.

Visualizations in Mathematics

In this paper we discuss visualizations in mathematics from a historical and didactical perspective. We consider historical debates from the 17th and 19th centuries regarding the role of intuition and visualizations in mathematics. We also consider the problem of what a visualization in mathematical learning can achieve. In an empirical study we investigate what mathematical conclusions university students made on the basis of a visualization. We emphasize that a visualization in mathematics should always be considered in its proper context.

---

Are There Stable Factors in Preadolescent Girls’ Externalizing Behaviors?

Relatively little is known about the factor structure of disruptive behavior among preadolescent girls. The present study reports on exploratory and confirmatory factor analyses of disruptive girl behavior over four successive data waves as rated by parents and teachers in a large, representative community sample of girls (N = 2,451). Five factors were identified from parent ratings (oppositional behavior/conduct problems, inattention, hyperactivity/impulsivity, relational aggression, and callous-unemotional behaviors), and four factors were identified derived from teacher ratings (oppositional behavior/conduct problems/callous-unemotional behaviors, inattention, hyperactivityimpulsivity, and relational aggression). There was a high degree of consistency of items loading on equivalent factors across parent and teacher ratings. Year-to-year stability of factors between ages five and 12 was high for parent ratings (ICC = 0.70 to 0.88), and slightly lower for teacher ratings (ICC = 0.56 to 0.83). These findings are discussed in terms of possible adjustment to the criteria for children's disruptive behavior disorders found in the Diagnostic and Statistical Manual for Mental Disorders.

---

Another Solution to the Problem of Theoretical Terms

In this paper, a solution to the problem of theoretical terms is developed that is based on Carnap’s doctrine of indirect interpretation of theoretical terms. This doctrine will be given a semantic, model-theoretic explanation that is not given by Carnap himself as he remains content with a syntactic explanation. From that semantic explanation, rules for the truth-value assignment to postulates, i.e. sentences that determine the meaning of theoretical terms, are derived. The logical status of postulates will be clarified thereby in such a way that the problem of theoretical terms disappears.

---

Peek-a-boo, I See You: Watching Japanese Hard-core Animation

This essay proposes a phenomenological approach to the viewing of Japanese hard-core animation (widely known in the West as “hentai”), a type of erotica frequently characterized by detailed, unusual and fantastic depictions of sexual activity habitually intended for sexual arousal. Pertinent instances of Japanese traditions of erotica and visual representation, as well as Japanese animation and its industry are briefly reviewed. The main theoretical focus is on the experience of viewing such animated material and is mostly informed by Western notions of pornography and film viewing, particularly Vivian Sobchack’s work on the phenomenology of film.

Appropriate Spiritual Care by Physicians: A Theological Perspective

It is argued that when spiritual care by physicians is linked to the empirical research indicating the salutary effect on health of religious beliefs and practices an unintended degradation of religion is involved. It is contended that it is much more desirable to see support for the patient’s spirituality as part of holistic care. A proposal for appropriate spiritual care by physicians is offered.

Beliefs in conditionals vs. conditional beliefs

On the basis of impossibility results on probability, belief revision, and conditionals, it is argued that conditional beliefs differ from beliefs in conditionals qua mental states. Once this is established, it will be pointed out in what sense conditional beliefs are still conditional, even though they may lack conditional contents, and why it is permissible to still regard them as beliefs, although they are not beliefs in conditionals. Along the way, the main logical, dispositional, representational, and normative properties of conditional beliefs are studied, and it is explained how the failure of not distinguishing conditional beliefs from beliefs in conditionals can lead philosophical and empirical theories astray.

Bootstrapping and knowledge of reliability

This is a critical discussion of a paper on the problem of bootstrapping by Jose Zalabardo.

Die Erfahrung des Anderen. Phänomenologie,Behaviorismus und Spiegelneuronen

The recent discovery of a mirror neuron system sets a challenge for a philosophy of experience such as phenomenology, because in humans and monkeys the mirror system seems to transform seen actions into an inner representation of these actions. This paper tries to outline the guidelines of a transcendental-phenomenological analysis of alterity, different from empirical research. The transcendental research must provide a criterion for interpreting the results of empirical science. On this basis the paper compares the phenomenological analysis of alterity with some results of neuroscientific research. It is argued that Edmund Husserl presents an analysis that enables us to avoid misinterpretations of the role and function of the mirror neuron system.

---

Introduction: Postphenomenological Research

This introduction to the special issue of Human Studies on postphenomenology outlines specific developments which have led to this style of phenomenology. Postphenomenology adapts aspects of pragmatism, including its anti-Cartesian program against early modern subject/object epistemology. Postphenomenology retains and emphasizes the use of phenomenological variations as an analytic tool, and in practice postphenomenology takes what is commonly now called “an empirical turn,” which deeply analyzes case studies or concrete issues under its purview.

Fictional coreference as a problem for the pretense theory

There seems to be a perfectly ordinary sense in which different speakers can use an empty name to talk about the same thing. Call this fictional coreference. It is a constraint on an adequate theory of empty names that it provide a satisfactory account of fictional coreference. The main claim of this paper is that the pretense theory of empty names does not respect this constraint.

Rethinking the Divide: Modules and Central Systems

In this paper I argue that the cognitive system is best viewed as a continuum of cognitive processing from modules to central systems rather than having these as discrete and wholly different modes of cognitive processing. I rely on recent evidence on the development of theory of mind (ToM) abilities and the developmental disorder of autism. I then turn to the phenomenology of modular processes. I show that modular outputs have a stronger force than non-modular or central system outputs. I then evaluate social cognitions and show them to occupy a middle ground with respect to phenomenal strength between modular and non-modular outputs. The evidence presented then seems to indicate a continuum of cognitive processing rather than the traditional division between modules and central systems.

Berkeley,Meaning and Minds: Remarks on Glezakos’ Comments

This is a response to Stavroula Glezakos’ commentary on my paper, in which I address three main points: (1) whether Berkeley is entitled to argue via inference to the best explanation, (2) whether Berkeley’s likeness principle might be too strict, and (3) whether the texts support my reading.

Phenomenology in Lithuania

The article deals with phenomenology in Lithuania. The main thesis of the article is this: phenomenology is a living tradition in need of both development and interpretation. The minor thesis follows from the main one: the Western phenomenological tradition and Lithuanian philosophy interact and develop in tandem with one another. According to the authors, the contact between poetics and philosophy is the dominant form of phenomenology in Lithuania. The phenomenological tradition is treated as creative and living philosophical thought.

Phenomenology and the Third Generation of Cognitive Science: Towards a Cognitive Phenomenology of the Body

Phenomenology of the body and the third generation of cognitive science, both of which attribute a central role in human cognition to the body rather than to the Cartesian notion of representation, face the criticism that higher-level cognition cannot be fully grasped by those studies. The problem here is how explicit representations, consciousness, and thoughts issue from perception and the body, and how they cooperate in human cognition. In order to address this problem, we propose a research program, a cognitive phenomenology of the body, which is basically motivated by the perspective of Merleau-Ponty. We find a substantial clue in developmental psychological studies on the body and language.

---

Mindfulness and Emotion Regulation: The Development and Initial Validation of the Cognitive and Affective Mindfulness Scale-Revised (CAMS-R)

As interest grows in mindfulness training as a psychosocial intervention, it is increasingly important to quantify this construct to facilitate empirical investigation. The goal of the present studies was to develop a brief self-report measure of mindfulness with items that cover the breadth of the construct and that are written in everyday language. The resulting 12-item measure demonstrated acceptable internal consistency and evidence of convergent and discriminant validity with concurrent measures of mindfulness, distress, well-being, emotion-regulation, and problem-solving approaches in three samples of university students. To address potential construct contamination in two items, data are also presented on an alternate 10-item version of the measure.