How to Apply Mathematics

This paper presents a novel account of applied mathematics. It shows how we can distinguish the physical content from the mathematical form of a scientific theory even in cases where the mathematics applied is indispensable and cannot be eliminated by paraphrase.     

Spezifische psychoanalytische Interventionen

It is held that specific ingredients are responsible for the effectiveness of various psychotherapies and it is supposed that for this reason particular therapeutic approaches are more efficient than others. First, this article presents Bruce E. Wampold’s research on psychotherapeutic efficacy, which gives evidence that psychotherapies efficiency is due to general, not to specific factors. It is shown that in the end the common factors like alliance, compliance, empathy and the fact, that therapists generally make best use of their personality, are interpersonal factors. The impact of these empirical results on psychotherapy, on theory and practice is described in the light of two metatheories, the “medical modell”and the “contextual model”. The author delineates some consequences, for instance that in psychotherapeutic practice the diagnosis-based indication for therapy has to be replaced by fitting-indication. Regarding outcome research, the randomized goldstandard research design has to be replaced by a fitting indication concerning therapist /patient and patient/paticular treatment. Further it is shown that although specific ingredients in a strict sense are not active, therapists have to realize that they are nessessary even if active only as a component of the healing context. How specific ingredients might be realized within a healing context is shown with regard to the adaptive approach to psychoanalysis.     

The time-course of recovery from interruption during reading: eye movement evidence for the role of interruption lag and spatial memory

Two experiments examined how interruptions impact reading and how interruption lags and the reader's spatial memory affect the recovery from such interruptions. Participants read paragraphs of text and were interrupted unpredictably by a spoken news story while their eye movements were monitored. Time made available for consolidation prior to responding to the interruption did not aid reading resumption. However, providing readers with a visual cue that indicated the interruption location did aid task resumption substantially in Experiment 2. Taken together, the findings show that the recovery from interruptions during reading draws on spatial memory resources and can be aided by processes that support spatial memory. Practical implications are discussed.     

Intentional suppression of unwanted memories grows more difficult as we age

People often encounter reminders to memories that they would prefer not to think about. When this happens, they often try to exclude the unwanted memory from awareness, a process that relies upon inhibitory control. We propose that the ability to regulate awareness of unwanted memories through inhibition declines with advancing age. In two experiments, we examined younger and older adults' ability to intentionally suppress retrieval when repeatedly confronted with reminders to an experience they were instructed to not think about. Older adults exhibited significantly less forgetting of the suppressed items compared to younger adults on a later independent probe test of recall, indicating that older adults failed to inhibit the to-be-avoided memories. These findings demonstrate that the ability to intentionally regulate conscious awareness of unwanted memories through inhibitory control declines with age, highlighting differences in memory control that may be of clinical relevance in the aftermath of unpleasant life events.     

The cognitive dynamics of negated sentence verification

We explored the influence of negation on cognitive dynamics, measured using mouse-movement trajectories, to test the classic notion that negation acts as an operator on linguistic processing. In three experiments, participants verified the truth or falsity of simple statements, and we tracked the computer-mouse trajectories of their responses. Sentences expressing these facts sometimes contained a negation. Such negated statements could be true (e.g., "elephants are not small") or false (e.g., "elephants are not large"). In the first experiment, as predicted by the classic notion of negation, we found that negation caused more discreteness in the mouse trajectory of a response. The second experiment induced a simple context for these statements, yet negation still increased discreteness in trajectories. A third experiment enhanced the pragmatic context of sentences, and the discreteness was substantially diminished, with one primary measure no longer significantly showing increased discreteness at all. Traditional linguistic theories predict rapid shifts in cognitive dynamics occur due to the nature of negation: It is an operator that reverses the truth or falsity of an interpretation. We argue that these results support both propositional and contextual accounts of negation present in the literature, suggesting that contextual factors are crucial for determining the kind of cognitive dynamics displayed. We conclude by drawing broader lessons about theories of cognition from the case of negation.     

Reevaluation of Piaget’s concept of egocentrism: New perspectives on a misunderstood idea

The paper states the goal of this special issue and briefly summarizes the topics of the papers addressed in this issue.     

Object-based representations govern both the storage of information in visual short-term memory and the retrieval of information from it

Interest is growing in how information is retained in visual short-term memory (VSTM). We describe an experiment that assesses VSTM within the context of multidimensional signal detection theory. On every trial, participants were presented with a 250-ms display containing four colored shapes. They were then probed 900 ms later with a colored shape and made separate old/new judgments about the color and the shape. In any particular trial, one, both, or neither of the probed features had been presented. Performance differed according to whether both probed features belonged to a single object or to two different objects. When both probed features belonged to the same object, featural retrieval was better than would be predicted by independent feature storage. When both probed features belonged to two different objects, featural retrieval was worse than would be predicted by independent feature storage. We conclude that storage in and retrieval from VSTM operate on the basis of object-based representations.     

Compatibility between tones, head movements, and facial expressions

The study tests the hypothesis of an embodied associative triangle among relative tone pitch (i.e., high or low tones), vertical movement, and facial emotion. In particular, it is tested whether relative pitch automatically activates facial expressions of happiness and anger as well as vertical head movements. Results show robust congruency effects: happiness expressions and upward head tilts are imitated faster when paired with high rather than low tones, while anger expressions and downward head tilts are imitated faster when paired with low rather than high tones. The results add to the growing evidence favoring an embodiment account that emphasizes multimodal representations as the basis of cognition, emotion, and action.     

Sensitivity to initial values in full non‐parametric maximum‐likelihood estimation of the two‐parameter logistic model

Parameters of the two‐parameter logistic model are generally estimated via the expectation–maximization (EM) algorithm by the maximum‐likelihood (ML) method. In so doing, it is beneficial to estimate the common prior distribution of the latent ability from data. Full non‐parametric ML (FNPML) estimation allows estimation of the latent distribution with maximum flexibility, as the distribution is modelled non‐parametrically on a number of (freely moving) support points. It is generally assumed that EM estimation of the two‐parameter logistic model is not influenced by initial values, but studies on this topic are unavailable. Therefore, the present study investigates the sensitivity to initial values in FNPML estimation. In contrast to the common assumption, initial values are found to have notable influence: for a standard convergence criterion, item discrimination and difficulty parameter estimates as well as item characteristic curve (ICC) recovery were influenced by initial values. For more stringent criteria, item parameter estimates were mainly influenced by the initial latent distribution, whilst ICC recovery was unaffected. The reason for this might be a flat surface of the log‐likelihood function, which would necessitate setting a sufficiently tight convergence criterion for accurate recovery of item parameters.