Yablo's paradox and referring to infinite objects

The blame for the semantic and set-theoretic paradoxes is often placed on self-reference and circularity. Some years ago, Yablo [1985; 1993] challenged this diagnosis, by producing a paradox that's liar-like but does not seem to involve circularity. But is Yablo's paradox really non-circular? In a recent paper, Beall [2001] has suggested that there are no means available to refer to Yablo's paradox without invoking descriptions, and since Priest [1997] has shown that any such description is circular, Beall concludes that Yablo's paradox itself is circular. In this paper, we argue that Beall's conclusion is unwarranted, given that (1) descriptions are not the only way to refer to Yablo's paradox, and (ii) we have no reason to believe that because the description involves self-reference, the denotation of the description is also circular. As a result, for all that's been said so far, we have no reason to believe that Yablo's paradox is circular.

The relationship of adult attachment dimensions to depression and agoraphobia

We examined the unique relations between the five dimensions of the Attachment Style Questionnaire (ASQ; Feeney, Noller, & Hanrahan, 1994) and depression and agoraphobic behavior (i.e., avoidance of situations where high anxiety is experienced). In addition, we examined mediation models in an attempt to clarify the link between adult attachment and these two dimensions of psychopathology. In testing these models, we administered the ASQ, General Self-Efficacy Scale, Agoraphobic Catastrophic Cognitions Questionnaire, Beck Depression Inventory, and the Mobility Inventory for Agoraphobia (a measure of the degree to which situations are avoided that are typically anxiety provoking for people with agoraphobia) to 122 participants (44 with agoraphobia, 25 with a current major depressive disorder, and 53 with no current psychopathology). The results showed that the insecure attachment dimensions of need for approval, preoccupation with relationships, and relationships as secondary were uniquely associated with depression and that general self-efficacy partly mediated the relationship between need for approval and depression. In contrast, only preoccupation with relationships was uniquely associated with agoraphobic behavior, and catastrophic cognitions about bodily sensations partly mediated this association.

Personality disorders and adult attachment dimensions in a mixed psychiatric sample: A multivariate study

The associations between personality disorders and adult attachment dimensions were assessed in a sample of 487 consecutively admitted psychiatric subjects. Canonical correlation analysis showed that two sets of moderately correlated canonical variates explained the correlations between personality disorders and adult attachment patterns. The first and second attachment variates closely resembled the avoidance and anxiety attachment dimensions, respectively. The first personality disorder variate was mainly characterized by avoidant, depressive, paranoid, and schizotypal personality disorders, whereas dependent, histrionic, and borderline personality disorders loaded on the second canonical variate. However, these linear combinations of personality disorders were different from those obtained from principal component analysis. The results extend previous studies linking personality disorders and attachment patterns and suggest the importance of focusing on specific constellations of symptoms associated with dimensions of insecurity.

Stem and crown dimensions as predictors of thinning responses in a crowded tropical rainforest plantation of Flindersia brayleyana F. Muell.

A 67-year-old plantation of Flindersia brayleyana F. Muell. in the wet tropics of north-cast Queensland had developed with minimal management. Before thinning, the stand had a canopy stem density of 770 stems ha(-1) of which 564 were F brayleyana, a stand basal area of 78 m(2) ha(-1), a mean stem diameter at breast height (dbh) of 36 cm, and a mean dbh increment of 5.2 mm year(-1) over the life of the plantation and 0.5 mm year I at the time of thinning. Sixty-three percent of the trees had crown ratios (crown diameter determined from foliage projected area: dbh) of less than 12. Thinning treatments removed 57% of the canopy stems and 45% of the stand basal area. Mean dbh increment over 2.5 years after thinning on basaltic soil was 5.8 +/- 0.3 mm year(-1), but for trees with crown ratio

Genetic Simplex Modeling of Eysenck's Dimensions of Personality in a Sample of Young Australian Twins

The relative stability and magnitude of genetic and environmental effects underlying major dimensions of adolescent personality across time were investigated. The Junior Eysenck Personality Questionnaire was administered to over 540 twin pairs at ages 12, 14 and 16 years. Their personality scores were analyzed using genetic simplex modeling which explicitly took into account the longitudinal nature of the data. With the exception of the dimension lie, multivariate model fitting results revealed that familial aggregation was entirely explained by additive genetic effects. Results from simplex model fitting suggest that large proportions of the additive genetic variance observed at ages 14 and 16 years could be explained by genetic effects present at the age of 12 years. There was also evidence for smaller but significant genetic innovations at 14 and 16 years of age for male and female neuroticism, at 14 years for male extraversion, at 14 and 16 years for female psychoticism, and at 14 years for male psychoticism.

Experimenting with infinite groups, I

A group is termed parafree if it is residually nilpotent and has the same nilpotent quotients as a given free group. Since free groups are residually nilpotent, they are parafree. Nonfree parafree groups abound and they all have many properties in common with free groups. Finitely presented parafree groups have solvable word problems, but little is known about the conjugacy and isomorphism problems. The conjugacy problem plays an important part in determining whether an automorphism is inner, which we term the inner automorphism problem. We will attack these and other problems about parafree groups experimentally, in a series of papers, of which this is the first and which is concerned with the isomorphism problem. The approach that we take here is to distinguish some parafree groups by computing the number of epimorphisms onto selected finite groups. It turns out, rather unexpectedly, that an understanding of the quotients of certain groups leads to some new results about equations in free and relatively free groups. We touch on this only lightly here but will discuss this in more depth in a future paper.

Phobic anxiety in 11 nations: part II. Hofstede's dimensions of national cultures predict national-level variations

Hofstede's dimensions of national cultures termed Masculinity-Femininity (MAS) and Uncertainty Avoidance (UAI) (Hofstede, 2001) are proposed to be of relevance for understanding national-level differences in self-assessed fears. The potential predictive role of national MAS was based on the classical work of Fodor (Fodor, 1974). Following Fodor, it was predicted that masculine (or tough) societies in which clearer differentiations are made between gender roles (high MAS) would report higher national levels of fears than feminine (or soft/modest) societies in which such differentiations are made to a clearly lesser extent (low MAS). In addition, it was anticipated that nervous-stressful-emotionally-expressive nations (high UAI) would report higher national levels of fears than calm-happy and low-emotional countries (low UAI), and that countries high on both MAS and UAI would report the highest national levels of fears. A data set comprising 11 countries (N > 5000) served as the basis for analyses. As anticipated, (a) high MAS predicted higher national levels of Agoraphobic fears and of Bodily Injury-Illness-Death fears; (b) higher scores on both UAI and MAS predicted higher national scores on Bodily Injury-Illness-Death fears, fears of Sexual and Aggressive Scenes, and Harmless Animals fears; (c) higher UAI predicted higher national levels of Harmless Animals, Bodily Injury-Illness-Death, and Agoraphobic fears. (C) 2003 Elsevier Ltd. All rights reserved.

The Short-EMBU in Australia, Spain, and Venezuela - Factorial invariance, and associations with sex roles, self-esteem, and Eysenckian personality dimensions

The short(s)-EMBU (Swedish acronym for Egna Minnen Betraffande Uppfostran [My memories of upbringing]) consists of 23 items, is based on the early 81-item EMBU, and was developed out of the necessity of having a brief measure of perceived parental rearing practices when the clinical and/or research context does not adequately permit application of time-consuming test batteries. The s-EMBU comprises three subscales: Rejection., Emotional Warmth, and (Over)Protection. The factorial and/or construct validity and reliability of the s-EMBU were examined in samples comprising a total of 1950 students from Australia, Spain, and Venezuela. The data were presented for the three national groups separately. Findings confirmed the cross-national validity of the factorial structure underlying the s-EMBU. Rejection by fathers and mothers was consistently associated with high trait-neuroticism and low self-esteem in recipients of both sexes in each nation, as was high parental emotional warmth with high femininity (humility). The findings on factorial validity are in keeping with previous ones obtained in East Germany, Greece, Guatemala, Hungary, Italy, and Sweden. The s-EMBU is again recommended for use in several different countries as. a reliable, functional equivalent to the original 81-item EMBU.

Modeling of adsorption and nucleation in infinite cylindrical pores by two-dimensional density functional theory

In this paper, we present an analysis of argon adsorption in cylindrical pores having amorphous silica structure by means of a nonlocal density functional theory (NLDFT). In the modeling, we account for the radial and longitudinal density distributions, which allow us to consider the interface between the liquidlike and vaporlike fluids separated by a hemispherical meniscus in the canonical ensemble. The Helmholtz free energy of the meniscus was determined as a function of pore diameter. The canonical NLDFT simulations show the details of density rearrangement at the vaporlike and liquidlike spinodal points. The limits of stability of the smallest bridge and the smallest bubble were also determined with the canonical NLDFT. The energy of nucleation as a function of the bulk pressure and the pore diameter was determined with the grand canonical NLDFT using an additional external potential field. It was shown that the experimentally observed reversibility of argon adsorption isotherms at its boiling point up to the pore diameter of 4 nm is possible if the potential barrier of 22kT is overcome due to density fluctuations.

Various topological excitations in the SO(4) gauge field in higher dimensions

Following the original analysis Of Zhang and Hu for the 4-dimensional generalization of Quantum Hall effect, there has been much work from different viewpoints on the higher dimensional condensed matter systems. In this paper, we discuss three kinds of topological excitations in the SO(4) gauge field of condensed matter systems in 4-dimension-the instantons and anti-instantons, the 't Hooft-Polyakov monopoles, and the 2-membranes. Using the phi-mapping topological theory, it is revealed that there are 4-, 3-, and 2-dimensional topological currents inhering in the SO (4) gauge field, and the above three kinds of excitations can be directly and explicitly derived from these three kinds of currents, respectively. Moreover, it is shown that the topological charges of these excitations are characterized by the Hopf indices and Brouwer degrees of phi-mapping. (c) 2005 Elsevier Inc. All rights reserved.