Mathematical Practice,Fictionalism and Social Ontology

From the perspective of mathematical practice, I examine positions claiming that mathematical objects are introduced by human agents. I consider in particular mathematical fictionalism and a recent position on social ontology formulated by Cole (2013, 2015). These positions are able to solve some of the challenges that non-realist positions face. I argue, however, that mathematical entities have features other than fictional characters and social institutions. I emphasise that the way mathematical objects are introduced is different and point to the multifaceted role that relations and interconnections play in this context. Finally, I argue that mathematical entities can be considered to be pragmatically real.

     

A collection of 4,741 word fragments that have unique completions with respect to 146,205 words

A collection of 4,741 word fragments that have a unique completion is described. All word fragments are specified by two letters (e.g.,__Q__U__can only be completed by the word LIQUEURS). The words completing these fragments range in length from five to nine letters. The fragments are unique with respect to a pool of 146,205 words, which helps rule out the possibility that obscure words could be used as a completion to the fragments. The collection of fragments as well as the words that complete them is available in ASCII format on computer disks or in printed form.     

Personality correlates of logical and sociomoral judgment

This study examined the relation of the California Psychological Inventory (CPI) to stages of logical and sociomoral judgment. Logical judgment was measured using adaptations of the pendulum and correlations tasks of Inhelder and Piaget; moral judgment was scored using the standard Kohlberg interview. In a sample of 143 adults, logical and sociomoral judgment were correlated .30 to .50 with most of the Class I (Factor 2) CPI scales, those capturing social poise and interpersonal adequacy, and Class III (Factor 3) CPI scales, those capturing achievement potential and intellectual efficiency. The findings offer support for a cognitive interpretation of competence and ego development.     

Psychotherapists' religious beliefs and their perception of the psychotherapy process

In a comparison of religious and nonreligious psychotherapists' perceptions of a portion of a psychotherapeutic session no significant differences were found on the Vanderbilt Psychotherapy Process Scale for four groups of therapists designated according to their scores on three religious questionnaires. While the results suggest attitudes toward religion are not reflected in therapists' practice of psychotherapy, limitations of the study indicate the need for more rigorous testing of this possibility.     

A Russian adaptation of the child behavior checklist: Psychometric properties and associations with child and maternal affective symptomatology and family functioning

The Child Behavior Checklist's (CBCL) applicability to a sample of 105 Russian 9- and 10-year-old children was evaluated by examining the internal consistency of Russian adaptations of parent and teacher report forms. In addition, child behavior scores were correlated with child reports of internalizing symptoms and maternal reports of their own internalizing symptoms and general family functioning. Finally, rates of child behavior problems and patterns of interrater agreement were compared with U.S. normative data. The psychometric properties of the adaptations demonstrate the adequacy of these instruments for use in Russia. Internal consistency and interrater agreement were generally comparable to estimates obtained in U.S. normative samples. Further, an exploration of the construct validity of the Russian versions of the CBCL and Teacher Report Form (TRF) lends additional support to the adequacy of these instruments.This work was supported in part by grants from the International Research Exchanges Board (IREX) (with funds provided by the Andrew Mellon Foundation, the National Endowment for the Humanities, and the U.S. Department of State) and the National Institute of Mental Health (MH-00508, an RSDA to D. Pauls). None of these organizations is responsible for the views expressed. In addition, the authors wish to thank Thomas Achenbach for his helpful comments and suggestions.