Kant’s Theory of Arithmetic: A Constructive Approach?

Kant’s theory of arithmetic is not only a central element in his theoretical philosophy but also an important contribution to the philosophy of arithmetic as such. However, modern mathematics, especially non-Euclidean geometry, has placed much pressure on Kant’s theory of mathematics. But objections against his theory of geometry do not necessarily correspond to arguments against his theory of arithmetic and algebra. The goal of this article is to show that at least some important details in Kant’s theory of arithmetic can be picked up, improved by reconstruction and defended under a contemporary perspective: the theory of numbers as products of rule following construction presupposing successive synthesis in time and the theory of arithmetic equations, sentences or “formulas”—as Kant says—as synthetic a priori. In order to do so, two calculi in terms of modern mathematics are introduced which formalise Kant’s theory of addition as a form of synthetic operation.

Rubber hands feel the touch of light

Two experiments involving a total of 220 subjects are reported. The experiments document that "stroking" a false hand with the bright beam of light from a laser pointer can produce tactile and thermal sensations when the hand can be seen as one's own. Overall, 66% of subjects reported somatic sensations from the light. Felt hand location was recalibrated toward the location of the false hand for those subjects who felt the light. Moreover, the proprioceptive recalibration from the laser experience was comparable to that produced by actual coordinated brushing of the false hand and of the unseen real hand after 2 min of stimulation. The illusion may be experienced on one's real hand as well. The results are discussed in terms of multisensory integration.     

Making faces: Creating three-dimensional parameterized models of facial expression

Previous studies of the perceptual processing and dynamics of emotional expression in faces have been limited by the lack of realistic yet controlled stimuli. The present work offers researchers a method for creating such stimuli for exploring these phenomena. We describe the creation of the stimuli and a series of experiments testing the validity of these stimuli with respect to emotional expressions in humans. Participants evaluated synthesized facial images and standardized photographs of six basic emotional expressions for intensity and accuracy of perceived emotion. Comparisons of these measures were qualitatively similar for synthesized and photographed faces. A manipulation of the magnitude of the synthesized expressions yielded a significant effect on the perceived intensity of expression. In a subsequent multidimensional scaling study, no systematic differences were uncovered in the derived configurations of the synthesized expressions and the photographs. These results are discussed in the context of possible future research applications.     

Evaluation of a multicomponent appearance-based sun-protective intervention for young women: uncovering the mechanisms of program efficacy.

An appearance-based sun-protection intervention program was developed, implemented, and evaluated in a sample of 211 Caucasian women (ages 18-25) randomly assigned to the sun-protection program or to a stress management (control) program. The sun-protection program incorporated a novel construct of image norms of aspirational peers (i.e., female media figures, fashion models) approving paleness. The authors targeted these image norms as well as the advantages of tanning, health beliefs about photoaging and skin cancer, and self-efficacy for sun protection. The intervention produced significant differences across conditions favoring sun protection on all constructs but severity of skin cancer and barriers to sun protection. At follow-up, treatment participants exceeded controls both in intention to sun protect and sun-protective behavior and reported lower intention to sunbathe and fewer hours of sunbathing. A mediational model of intervention outcomes revealed distinct mediators for sun protection versus sunbathing.