Axiomatizations of Hyperbolic Geometry: A Comparison Based on Language and Quantifier Type Complexity

Hyperbolic geometry can be axiomatized using the notions of order andcongruence (as in Euclidean geometry) or using the notion of incidencealone (as in projective geometry). Although the incidence-based axiomatizationmay be considered simpler because it uses the single binary point-linerelation of incidence as a primitive notion, we show that it issyntactically more complex. The incidence-based formulation requires some axioms of the quantifier-type \forall\exists\forall, while the axiom system based on congruence and order can beformulated using only \forall\exists-axioms.     

Empathic accuracy and accommodative behavior among newly married couples

An established method for assessing empathic accuracy was used to examine the consequences of accurate understanding during the early years of marriage. Structural equation modeling analyses simultaneously examined within–individual and across–partner associations among variables (actor effects and partner effects). During the first year of marriage, actor effects and partner effects were observed for two presumed consequences of empathic accuracy—accommodative behavior and couple well–being. Actor effects, partner effects, or both were observed for three possible determinants of empathic accuracy—commitment level, partner perspective–taking, and psychological femininity. Levels of empathic accuracy reliably declined following the first year of marriage, as did the strength of the above–noted associations with empathic accuracy.     

How Do I Treat My Hungry Lion: A Model for Violence Management in Prison

This theoretical model for the management of violence relies on the notion that there are fundamentally only two kinds of prison violence—provoked and unprovoked—and that all violence is caused by the influence of some fear-causing agent which triggers the autonomic nervous system's Fight or Flight Response (FFR) which in turn causes the release of FFR chemicals to create and enable an action potential for violence in the actor. Provoked violence is an act of violence which occurs in response to an FFR instigated by some external, independent contemporaneous, real or imagined fear causing agent. Treating provoked violence must include suppressing the production of an excess of FFR stimulant chemicals, which at the same time employing psychodynamic therapy to modify the negative behavior learned from a lifetime of excessive responses to FFR chemical releases. Unprovoked violence is the result of an actor's addiction to FFR chemicals. This addiction leads the actor to experience an apperceptive compulsion to engage in thrill seeking as a method of exposing himself to fear causing agents that are calculated to cause the release of FFR chemicals. In order to treat unprovoked violence you must treat both the chemical addiction and the negative pattern of behavior which was learned to support the habit of self-triggering an FFR. Thus any successful treatment of violence must employ both energetic and psychodynamic models for development of fear management strategies.     

Metaphor and Persuasive Communication: A Multifunctional Approach

Metaphors are pervasive in both mass communication and interpersonal exchanges and can play an important role in persuasion. Metaphor serves multiple functions in persuasive communication, and the effect of metaphor on persuasion is potentially mediated by multiple psychological process mechanisms. Nevertheless, we propose that past and future research in this area can be organized or grouped into three simple categories. First, metaphorical statements can activate information that is directly applied to the communication topic and thereby influence attitudes toward the communication topic. Second, metaphorical language may influence impressions of the communication source and thereby impact attitudes toward the communication topic. Third, metaphors may affect attitudes toward the communication topic by influencing the direction or amount of elaboration that takes place when recipients process literal statements contained in the communication. A review of past research is organized into these three categories, and proposals for future research in each category are introduced. It is concluded that future research within each of these domains should focus on two related questions: under what conditions does metaphor elicit a given psychological process in the receiver (e.g., attribute mapping, valence transfer), and under what conditions will a given process result in an increase versus decrease in persuasion?     

The perception of surface curvature from optical motion

Observers viewed the optical flow field of a rotating quadric surface patch and were required to match its perceived structure by adjusting the shape of a stereoscopically presented surface. In Experiment 1, the flow fields included rigid object rotations and constant flow fields with patterns of image acceleration that had no possible rigid interpretation. In performing their matches, observers had independent control of two parameters that determined the surface shape. One of these, called the shape characteristic, is defined as the ratio of the two principle curvatures and is independent of object size. The other, called curvedness, is defined as the sum of the squared principle curvatures and depends on the size of the object. Adjustments of shape characteristic were almost perfectly accurate for both motion conditions. Adjustments of curvedness, on the other hand, were systematically overestimated and were not highly correlated with the simulated curvedness of the depicted surface patch. In Experiment 2, the same flow fields were masked with a global pattern of curl, divergence, or shear, which disrupted the first-order spatial derivatives of the image velocity field, while leaving the second-order spatial derivatives invariant. The addition of these masks had only negligible effects on observers’ performance. These findings suggest that observers’ judgments of three-dimensional surface shape from motion are primarily determined by the second-order spatial derivatives of the instantaneous field of image displacements.     

Testing the attentional model of brightness contrast with relative area and figure-ground organization unconfounded

Using gray-white metric patterns, for which figure-ground relationships had been previously determined, several features of an attentional theory of brightness contrast were investigated. Experiment I, involving three subjects and the method of constant stimuli, showed that ground, the unattended area, could be reliably perceived as brighter; responses were affected by both the type of pattern and level of contrast ratio. Experiment II, involving 40 subjects and the method of magnitude estimation, used metric patterns for which attentional factors were not confounded with relative area. The results supported the first study and further indicated the primary involvement of relative area rather than focus of attention in brightness contrast.