Entailment and Bivalence

My purpose in this paper is to argue that the classical notion of entailment is not suitable for non-bivalent logics, to propose an appropriate alternative and to suggest a generalized entailment notion suitable to bivalent and non-bivalent logics alike. In classical two valued logic, one can not infer a false statement from one that is not false, any more than one can infer from a true statement a statement that is not true. In classical logic in fact preserving truth and preserving non-falsity are one and the same thing. They are not the same in non-bivalent logics however and I will argue that the classical notion of entailment that preserves only truth is not strong enough for such a logic. I will show that if we retain the classical notion of entailment in a logic that has three values, true, false and a third value in between, an inconsistency can be derived that can be resolved only by measures that seriously disable the logic. I will show this for a logic designed to allow for semantic presuppositions, then I will show that we get the same result in any three valued logic with the same value ordering. I will finally suggest how the notion of entailment should be generalized so that this problem may be avoided. The strengthened notion of entailment I am proposing is a conservative extension of the classical notion that preserves not only truth but the order of all values in a logic, so that the value of an entailed statement must alway be at least as great as the value of the sequence of statements entailing it. A notion of entailment this strong or stronger will, I believe, be found to be applicable to non-classical logics generally. In the opinion of Dana Scott, no really workable three valued logic has yet been developed. It is hard to disagree with this. A workable three valued logic however could perhaps be developed however, if we had a notion of entailment suitable to non-bivalent logics.     

Sculpting the Body Beautiful: Attachment Style,Neuroticism, and Use of Cosmetic Surgeries

Use of cosmetic surgeries has increased steadily over the last decade, and continues to rise in young and old alike. The purpose of present research was to investigate the relationship of personality to use of cosmetic procedures of various kinds. It was expected that adult attachment style, in particular attachment anxiety, would be positively related to use of cosmetic procedures. Attachment anxiety involves excessive approval seeking and concern over achieving and maintaining the love of significant others (such as romantic relationship partners). Such concerns could, in turn, lead to use of a variety of strategies for maintaining positive regard, including cosmetic surgeries to enhance physical appearance. Results supported this hypothesis, particularly among women. Neuroticism was also related to some procedures, though the relationships were generally weaker than those for attachment anxiety, and largely disappeared in regression analyses that controlled for the separate influence of the two variables.     

The History Of Applied Mathematics And The History Of Society

Choosing the history of statistics and operations research as a casestudy, several ways of setting the development of 20th century appliedmathematics into a social context are discussed. It is shown that there isample common ground between these contextualizations and several recent research programs in general contemporary history. It is argued that a closer cooperation between general historians and historians ofmathematics might further the integration of the internalist andexternalist approaches within the historiography of mathematics.     

The interactive effects of conscientiousness and agreeableness on job performance

The authors hypothesized that the relationship between conscientiousness and job performance would be stronger for persons high in agreeableness than for those low in agreeableness. Results of hierarchical moderated regression analyses for 7 independent samples of employees across diverse occupations provided support for the hypothesis in 5 of the samples. In samples supporting the hypothesis, among the highly conscientious workers, those low in agreeableness were found to receive lower ratings of job performance than workers high in agreeableness. One explanation for lack of an interaction between conscientiousness and agreeableness in the other 2 samples is that those jobs were not characterized by frequent, cooperative interactions with others. Overall, the results show that highly conscientious workers who lack interpersonal sensitivity may be ineffective, particularly in jobs requiring cooperative interchange with others.     

Unraveling mechanisms for expert object recognition: bridging brain activity and behavior

Behavioral sensitivity to object transformations and the response to novel objects (Greebles) in the fusiform face area (FFA) was measured several times during expertise training. Sensitivity to 3 transformations increased with expertise: (a) configural changes in which halves of objects were misaligned, (b) configural changes in which some of the object parts were moved, and (c) the substitution of an object part with a part from a different object. The authors found that holistic-configural effects can arise from object representations that are differentiated in terms of features or parts. Moreover, a holistic-inclusive effect was correlated with changes in the right FFA. Face recognition may not be unique in its reliance on holistic processing, measured in terms of both behavior and brain activation.     

The roles of body and mind in abstract thought

How are people able to think about things they have never seen or touched? We demonstrate that abstract knowledge can be built analogically from more experience-based knowledge. People's understanding of the abstract domain of time, for example, is so intimately dependent on the more experience-based domain of space that when people make an air journey or wait in a lunch line, they also unwittingly (and dramatically) change their thinking about time. Further, our results suggest that it is not sensorimotor spatial experience per se that influences people's thinking about time, but rather people's representations of and thinking about their spatial experience.     

Interpersonal behaviors and friendship in a Chinese culture

This research is designed to assess the links between interpersonal behaviors and relationship development. A measure of friendship, labeled 'communion', was developed that focused exclusively on the characteristics of the relationship itself. It was hypothesized that greater use by both parties of behaviors promoting the interests of the other, 'beneficence', and of behaviors respecting the rights of the other, 'restraint', would result in greater communion between the roommates by the end of their first 6 months together. Both dimensions of behavior proved to be related to communion, although beneficence by both parties was relatively stronger than restraint. These findings were discussed in terms of other types of relationships where there is less freedom of involvement and greater hierarchy.