Creating Creativity: A Behavior Analytic Approach

The Psychological Record - Creativity and innovation have brought about phenomenal changes throughout human history. Art, science, medicine, industry, and technology have all grown through creative...     

Seeing What’s Possible: Videos are more Effective than Written Portrayals for Enhancing the Relatability of Scientists and Promoting Black Female Students’ Interest in STEM

Sex Roles - Although interactions with Black female scientists can alter beliefs about STEM (science, technology, engineering, mathematics) and encourage Black female students’ interest in...     

Counterexample Search in Diagram-Based Geometric Reasoning

Topological relations such as inside, outside, or intersection are ubiquitous to our spatial thinking. Here, we examined how people reason deductively with topological relations between points, lines, and circles in geometric diagrams. We hypothesized in particular that a counterexample search generally underlies this type of reasoning. We first verified that educated adults without specific math training were able to produce correct diagrammatic representations contained in the premisses of an inference. Our first experiment then revealed that subjects who correctly judged an inference as invalid almost always produced a counterexample to support their answer. Noticeably, even if the counterexample always bore a certain level of similarity to the initial diagram, we observed that an object was more likely to be varied between the two drawings if it was present in the conclusion of the inference. Experiments 2 and 3 then directly probed counterexample search. While participants were asked to evaluate a conclusion on the basis of a given diagram and some premisses, we modulated the difficulty of reaching a counterexample from the diagram. Our results indicate that both decreasing the counterexample density and increasing the counterexample distance impaired reasoning performance. Taken together, our results suggest that a search procedure for counterexamples, which proceeds object-wise, could underlie diagram-based geometric reasoning. Transposing points, lines, and circles to our spatial environment, the present study may ultimately provide insights on how humans reason about topological relations between positions, paths, and regions.     

Theories and Theoria of the Atonement: A Proposal

This article traces the origins of language about ‘theories’ of the atonement in Friedrich Schleiermacher and F.C. Baur’s historicization of Protestant theology in Germany. It follows the growth and promulgation of this conceptualization as it spread to America and Great Britain in the later nineteenth century. This approach contributed to the growth and development of the doctrine and its history, while severely limiting it in important ways. I note four dangers implicit within uncritical use of ‘theory’ language in studies of the history of the doctrine of the atonement, and conclude by arguing that a more fitting approach lies in the ancient and medieval concept of theoria, or contemplation, which serves as the broader telos for appreciating the riches we have in the work of Christ, within which modest contemporary notions of theory can and should play a role.