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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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.

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Die Geschichte der „Stellungnahme zur psychoanalytischen Therapie“

Ohne Zusammenfassung

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No Regrets, or: Edith Piaf Revamps Decision Theory

I argue that standard decision theories, namely causal decision theory and evidential decision theory, both are unsatisfactory. I devise a new decision theory, from which, under certain conditions, standard game theory can be derived.

Carl Friedrich von Weizsäcker

Ohne Zusammenfassung

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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.

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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.

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Aktuelle Probleme der Krankenhausplanung in der Psychosomatischen Medizin und Psychotherapie

Ohne Zusammenfassung

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Trumping the causal influence account of causation

Here is a simple counterexample to David Lewis’s causal influence account of causation, one that is especially illuminating due to its connection to what Lewis himself writes: it is a variant of his trumping example

Bootstrapping and knowledge of reliability

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

Ontology,matter and emergence

“Ontological emergence” of inherent high-level properties with causal powers is witnessed nowhere. A non-substantialist conception of emergence works much better. It allows downward causation, provided our concept of causality is transformed accordingly.

The Causal Chain Problem

This paper addresses a problem that arises when it comes to inferring deterministic causal chains from pertinent empirical data. It will be shown that to every deterministic chain there exists an empirically equivalent common cause structure. Thus, our overall conviction that deterministic chains are one of the most ubiquitous (macroscopic) causal structures is underdetermined by empirical data. It will be argued that even though the chain and its associated common cause model are empirically equivalent there exists an important asymmetry between the two models with respect to model expansions. This asymmetry might constitute a basis on which to disambiguate corresponding causal inferences on non-empirical grounds.

Intersubjectivity in perception

The embodied, embedded, enactive, and extended approaches to cognition explicate many important details for a phenomenology of perception, and are consistent with some of the traditional phenomenological analyses. Theorists working in these areas, however, often fail to provide an account of how intersubjectivity might relate to perception. This paper suggests some ways in which intersubjectivity is important for an adequate account of perception.

Translucent experiences

This paper considers the claim that perceptual experience is “transparent”, in the sense that nothing other than the apparent public objects of perception are available to introspection by the subject of such experience. I revive and strengthen the objection that blurred vision constitutes an insuperable objection to the claim, and counter recent responses to the general objection. Finally the bearing of this issue on representationalist accounts of the mind is considered.

Interpreting Neurath’s Protocols. Reply to Nottelmann

This paper responds to a recent criticism of Uebel's analysis of Neurath's protocol statements and proposes some independent amendments.

The many minds account of vagueness

This paper presents an new epistemicist account of vagueness, one that avoids standard arbitrariness worries by exploiting a plenitudinous metaphysic.

Was Kant a nonconceptualist?

I criticize recent nonconceptualist readings of Kant’s account of perception on the grounds that the strategy of the Deduction requires that understanding be involved in the synthesis of imagination responsible for the intentionality of perceptual experience. I offer an interpretation of the role of understanding in perceptual experience as the consciousness of normativity in the association of one’s representations. This leads to a reading of Kant which is conceptualist, but in a way which accommodates considerations favoring nonconceptualism, in particular the primitive character of perceptual experience relative to thought and judgment.

Perception and its objects

Early modern empiricists thought that the nature of perceptual experience is given by citing the object presented to the mind in that experience. Hallucination and illusion suggest that this requires untenable mind-dependent objects. Current orthodoxy replaces the appeal to direct objects with the claim that perceptual experience is characterized instead by its representational content. This paper argues that the move to content is problematic, and reclaims the early modern empiricist insight as perfectly consistent, even in cases of illusion, with the realist contention that these direct objects of perception are the persisting mind-independent physical objects we all know and love.

God and The Possibility of Random Creation

In this paper I discuss a number of problems associated with the suggestion that it is possible for God to randomly select a possible world for actualization.

Divine Incoherence

In this note I show that Noreen Johnson misunderstands my argument and consequently fails to refute my thesis that God’s omnipotence conflicts with his omniscience.