Book reviews

International Journal for Philosophy of Religion -     

Naming and Diagonalization, from Cantor to Godel to Kleene

We trace self-reference phenomena to the possibility of namingfunctions by names that belong to the domain over which thefunctions are defined. A naming system is a structure of theform (D, type( ),{ }), where D is a non-empty set; for everya D, which is a name of a k-ary function, {a}: D^k D is thefunction named by a, and type(a) is the type of a, which tellsus if a is a name and, if it is, the arity of the named function.Under quite general conditions we get a fixed point theorem,whose special cases include the fixed point theorem underlyingGödel's proof, Kleene's recursion theorem and many othertheorems of this nature, including the solution to simultaneousfixed point equations. Partial functions are accommodated byincluding "undefined" values; we investigate different systemsarising out of different ways of dealing with them. Many-sortednaming systems are suggested as a natural approach to generalcomputatability with many data types over arbitrary structures.The first part of the paper is a historical reconstruction ofthe way Gödel probably derived his proof from Cantor'sdiagonalization, through the semantic version of Richard. Theincompleteness proof–including the fixed point construction–resultfrom a natural line of thought, thereby dispelling the appearanceof a "magic trick". The analysis goes on to show how Kleene'srecursion theorem is obtained along the same lines.     

Digit Symbol Substitution test performance: sex differences in a Hebrew-readers' health population

The Digit Symbol Substitution test is simple to administer and sensitive to individual differences related to cognitive performance. The present study evaluated sex-related differences in performance by a Hebrew reading sample. The test was administered to 275 men and 252 women (age range: 20-44 years). Hebrew women significantly scored higher than the men. Means which increased during four consecutive 30-sec. time periods of performance, was significantly greater for the women than the men. This finding indicates women were more effective on this pair-associated learning task than men.     

Multi-attribute choice and affect: The influence of naturally occurring and manipulated moods on choice processes

Based on a two-dimensional model of affect that views Pleasantness and Arousal as affect's two primary dimensions, this study investigates the effects of emotions on choice processes and outcomes. In Study 1, subjects first described their naturally occurring emotional state and then performed two multi-attribute product choice tasks. Subjects in more pleasant mood deliberated longer, used more decision-related information, re-examined more previously examined information, and made more interdimensional moves. Subjects in more aroused mood spent less time deliberating, revealed less information, ignored more product-describing attributes, and re-examined less of previously examined information. Study 2 replicated many of these effects with experimentally manipulated emotions and using a managerial decision-making task. The results are interpreted in terms of (1) a congruency between one's hedonic state and selected decision strategy and (2) a restriction in attentional capacity induced by increased Arousal.     

Supervising Without Controlling: A New Authority intervention for Adolescents with Type 1 Diabetes

Journal of Child and Family Studies - Adolescents with Type 1 Diabetes are at an elevated risk for reduced self-care and imbalanced blood sugar rates with long-term medical consequences. Despite...     

Decrease in suicide rates after a change of policy reducing access to firearms in adolescents: a naturalistic epidemiological study

The use of firearms is a common means of suicide. We examined the effect of a policy change in the Israeli Defense Forces reducing adolescents' access to firearms on rates of suicide. Following the policy change, suicide rates decreased significantly by 40%. Most of this decrease was due to decrease in suicide using firearms over the weekend. There were no significant changes in rates of suicide during weekdays. Decreasing access to firearms significantly decreases rates of suicide among adolescents. The results of this study illustrate the ability of a relatively simple change in policy to have a major impact on suicide rates.     

The sure thing principle,dilations, and objective probabilities

The common theme that unites the four sections is STP, the sure thing principle. But the paper can be divided neatly into two parts. The first, consisting of the first two sections, contains an analysis of STP as it figures in Savage?s system and proposals of changes to that system. Also possibilities for partially ordered acts are considered. The second, consisting of the last two sections, is about imprecise probabilities, dilations and objective probabilities. Variants of STP are considered but this part is self-contained and can be read separately. The main claim there is that dilations, which can have extremely counterintuitive consequences, can be eliminated by a more careful analysis of the phenomenon. It outlines a proposal of how to do it. Here the concept of objective probabilities plays a crucial role.