Penrose's New Argument

It has been argued, by Penrose and others, that Gödel's proof of his first incompleteness theorem shows that human mathematics cannot be captured by a formal system F: the Gödel sentence G(F) of F can be proved by a (human) mathematician but is not provable in F. To this argment it has been objected that the mathematician can prove G(F) only if (s)he can prove that F is consistent, which is unlikely if F is complicated. Penrose has invented a new argument intended to avoid this objection. In the paper I try to show that Penrose's new argument is inconclusive.     

Children's Assignment of Gender to Animal Characters in Pictures

Tests showed that 4- to 6-year-old children believe that people can be influenced or “controlled” both by thinking (e.g., both wishful thinking and magical behavior) and by realistic means (e.g., positive reinforcement, example, and group pressure). Belief in control by thinking did not vary by the subjects' sex or age, influence type (wishing or magical behavior), or target response (behavior, emotion, or thought). Quantitative measures, however, suggested that magical behavior was seen by subjects as being more efficient than wishing, and that emotion was considered easier to influence than thinking. Beliefs in control by thinking were not related to a measure of fantasy—reality differentiation (realism).     

A method for quantifying focused versus overview behavior in AOI sequences

We present a new measure for evaluating focused versus overview eye movement behavior in a stimulus divided by areas of interest. The measure can be used for overall data, as well as data over time. Using data from an ongoing project with mathematical problem solving, we describe how to calculate the measure and how to carry out a statistical evaluation of the results.     

Personality dimensions in patients with sleep-apnea syndrome: comparison with narcolepsy

Personality measures of Anxiety-Neuroticism, Extraversion and Socialization obtained from self-report questionnaires were studied in a group of sleep-apnea patients (15 males, 5 females), and compared with results from a normal control group (63 males, 21 females) and a group of narcoleptic patients (17 males, 32 females). Sleep-apnea patients were significantly higher in Anxiety-Neuroticism and slightly higher in Extraversion than controls. Although the main symptom, i.e. excessive daytime sleepiness, of sleep-apnea and narcoleptic patients is similar, there were distinct differences in pattern of personality measures. Sleep-apnea patients were lower in Anxiety-Neuroticism and higher in Extraversion. Thus, increased sleepiness alone did not induce uniform changes in personality traits in the two patient groups. It is suggested that the particular personality profile of the sleep-apnea patients is secondary to increased psychosocial strain and coping strategies to keep awake. In contrast, the high Somatic Anxiety scores and low Socialization scores in the narcoleptic group are assumed to reflect a constitutional lability which also involves autonomic and sleep functions.     

FACTOR ANALYSIS OF A NEUROTICISM INVENTORY

The Lidvall neuroticism inventory is comprised of 25 questions referring to symptoms presumed to be connected with manifest neurotic anxiety. It was presented to 377 persons, an unscreened group with respect to neurotic symptoms, and a factor analysis with rotation to simple structure was performed.—Four factors could be identified: (1) manifest neurotic anxiety, (2) neurotic difficulties in interpersonal relations, (3) neurasthenic symptoms and (4) obsessive-compulsive symptoms. The factor scales were correlated with Neuroticism and Extraversion in MPI. Neuroticism was shown to be a heterogeneous factor. The correlation between Factor (2) and Extraversion was high.     

The AMBEGUJAS phenomenon and colour constancy

The AMBEGUJAS phenomenon is a reversible flat figure that is spontaneously shifting between two apparent 3-D shapes-'tile' and 'roof'. 2-D perceptions have very rarely been reported. Tied to the shifts between the tile and roof shapes are remarkable changes of perceived colour. In our example, the tile appears to have orange (top half) and blue-green (bottom half) surface colours in white light. The roof appears grey but in an orange illumination and with a blue-green shadow. This phenomenon appears whether a grey display is presented in two coloured illuminations, or a chromatic display with two surface colours (orange and blue-green) is presented in white light. In the coloured illuminations the tile is an example of non-constancy, since its colours are non-veridical colour perceptions. The centre stripe of the display appears to have the same orange and blue-green colours as the lateral stripes but in a shadow. This seems like a colour constancy in a non-constancy situation. An alternative to the classical definition of colour constancy is discussed.