A general proof of consistency of heuristic classification for cognitive diagnosis models

The Asymptotic Classification Theory of Cognitive Diagnosis (Chiu et al., 2009, Psychometrika, 74, 633–665) determined the conditions that cognitive diagnosis models must satisfy so that the correct assignment of examinees to proficiency classes is guaranteed when non‐parametric classification methods are used. These conditions have only been proven for the Deterministic Input Noisy Output AND gate model. For other cognitive diagnosis models, no theoretical legitimization exists for using non‐parametric classification techniques for assigning examinees to proficiency classes. The specific statistical properties of different cognitive diagnosis models require tailored proofs of the conditions of the Asymptotic Classification Theory of Cognitive Diagnosis for each individual model – a tedious undertaking in light of the numerous models presented in the literature. In this paper a different way is presented to address this task. The unified mathematical framework of general cognitive diagnosis models is used as a theoretical basis for a general proof that under mild regularity conditions any cognitive diagnosis model is covered by the Asymptotic Classification Theory of Cognitive Diagnosis.     

Looking ahead from age 6 to 13: A deeper insight into the development of planning ability

Planning ability gradually increases throughout childhood. However, it remains unknown whether this is attributable to global factors such as an increased ability and willingness to inhibit premature, impulsive responding, or due to the availability of specific planning operations, such as being able to mentally plan ahead more steps (‘search depth’) or to derive a clear temporal order of goals by the task layout (‘goal hierarchy’). Here, we studied the development of planning ability with respect to these global and problem‐specific aspects (search depth and goal hierarchy) of performance in 178 children from 6 to 13 years using the Tower of London task. As expected, global performance gradually developed with age. In accordance, planning durations increasingly reflected global problem demands with longer pre‐planning in harder problems. Furthermore, specific planning parameters revealed that children were increasingly capable of mentally searching ahead more steps. In contrast, the ability to derive a goal hierarchy did not show age‐related changes. While the global development of planning performance and adaptive planning durations were proposed to primarily reflect enhanced self‐monitoring, the specific increase in search depth across childhood that most likely proceeds until young adult age represents more directly planning‐related processes. Thus, development of planning ability is supported by multiple contributions.     

Just Annexation

Fabre defends a human rights‐focused cosmopolitan theory of peace. One would expect that, given this view, she would be in favour of human rights‐promoting annexations by liberal states. However, she distances herself from this view, adopting the common‐sense view that annexing states ‘act ultra vires’. I argue that her core cosmopolitan view motivates a different and, in principle, much more positive view of four types of annexations. In the course of defending this view, I take a critical look at her appeal to perverse moral incentives and the notion of a cosmopolitan ethos.     

Kierkegaard on Existential Kenosis and the Power of the Image: Fear and Trembling and Practice in Christianity

What is the role of the image in faith? How should we relate to Abraham and Christ? Through new readings of two of Kierkegaard’s rarely compared texts, this article locates the religious power of the image in its ability to cleanse the subject of received mis‐images of Christianity, and suggests that Kierkegaard was inspired by elements of Rheno‐Flemish mysticism. Kierkegaard not only identifies this inward existential kenosis as the correct form of imitation, he narratively induces this in his reader. As well as examining this textual performativity and the imagination’s role of kenotically preparing the subject for her subsequent upbuilding, this article identifies the movement of kenosis as constitutive of faith – a task that involves suffering, but a suffering that is always accompanied and tempered by love.