Inverses for Normal Modal Operators

Given a 1-ary sentence operator , we describe L - another 1-ary operator - as as a left inverse of in a given logic if in that logic every formula is provably equivalent to L. Similarly R is a right inverse of if is always provably equivalent to R. We investigate the behaviour of left and right inverses for taken as the operator of various normal modal logics, paying particular attention to the conditions under which these logics are conservatively extended by the addition of such inverses, as well as to the question of when, in such extensions, the inverses behave as normal modal operators in their own right.     

"Solar love": Nietzsche,Merleau-Ponty and the fortunes of perception

Both Nietzsche and Merleau-Ponty repudiate the mirror view of perception and embrace what Nietzsche refers to as solar love or creative perception. I argue that Merleau-Ponty thinks of this type of perception primarily in terms of convergence and Nietzsche in terms of divergence. I then show how, contrary to their own emphases, Merleau-Ponty's notion of flesh and Nietzsche's idea of chaos suggest that convergence and divergence are abstractions from an ontologically prior realm of hybrid perceptions. In this realm, each perception is shot through with the others, simultaneously inside and outside one another. The creative tension among these perceptions continually produces new perspectives or voices, that is, a realm whose very being is metamorphosis. Moreover, this realm of hybrid perceptions suggests a political principle that might prove attractive for communities in an age of diversity and cultural hybridity.     

Gender stereotypes and dimensions of effective leader behavior

Research has consistently found that effective leadership is perceived as characterized by traits similar to those associated with masculine gender roles. These perceptions would appear to be at odds with extensive research indicating that effective leadership requires consideration and structuring behaviors—behaviors that seem to represent both masculine and feminine styles. In two separate studies, the correspondence between gender stereotypes and dimensions of effective leadership were assessed. Results indicate that consideration behaviors are perceived to be feminine, while structuring behaviors are perceived to be masculine. Similarly, qualities that characterize the masculine gender role are perceived to be consistent with structuring, while qualities associated with the feminine gender roles are perceived to be consistent with consideration. It is suggested that an increased awareness of the androgynous nature of effective leadership behaviors might weaken the biases in favor of male leaders.     

Fitting the factor analysis model

When the covariance matrix (p×P) does not satisfy the formal factor analysis model for m factors, there will be no factor matrix (p×m) such that =(-) is diagonal. The factor analysis model may then be replaced by a tautology where is regarded as the covariance matrix of a set of residual variates. These residual variates are linear combinations of discarded common factors and unique factors and are correlated. Maximum likelihood, alpha and iterated principal factor analysis are compared in terms of the manner in which is defined, a maximum determinant derivation for alpha factor analysis being given. Weighted least squares solutions using residual variances and common variances as weights are derived for comparison with the maximum likelihood and alpha solutions. It is shown that the covariance matrix defined by maximum likelihood factor analysis is Gramian, provided that all diagonal elements are nonnegative. Other methods can define a which is nonGramian even when all diagonal elements are nonnegative.A modified version of this paper forms part of a Ph.D. thesis submitted to the University of South Africa.Presently at the National Institute for Personnel Research, South Africa.     

The ω-rule

We prove that all proofs in -logic (a first order logic with -rule added) in which -rule is used finitely many times can be turned into proofs in which the -rule is used at most one time. Next, we prove that the word finitely above cannot be changed by the word infinitely.     

Allgemeinpsychologische Untersuchungen zum Vigilanzverhalten

Zusammenfassung Mit Hilfe eines 2×2×2-Designs wurde die Wirkung der Anzahl der Signalflächen, Anzahl der irrelevanten Reize und Art der Motivation auf die Vigilanzleistung untersucht. Dabei zeigte sich, daß die Wahrscheinlichkeiten von verpaßten Signalen und falschen Alarmen mit der Anzahl der Signalquellen zunehmen. Die Menge der Nicht-Signale gleicher Modalität wie die Signalreize beeinflußt weder die Signalentdeckungen noch die falschen Alarme.Weiterhin wurde versucht, eine Systematisierung von Motivationswirkungen in Vigilanzaufgaben im Rahmen des detection-Modells vorzunehmen. Bei großen Gewinnen für richtige Signalentdeckungen und geringen Verlusten für falsche Alarme (Risiko-Motivation) ergab sich eine wesentlich höhere Entdeckungswahrscheinlichkeit und eine geringfügig höhere Rate von falschen Alarmen als bei geringen Gewinnen für richtige Signalentdeckungen und hohen Kosten für falsche Alarme (Vorsichts-Motivation). Weiterhin zeigte sich unter Risiko-Motivation ein Abfall der Entdeckungswahrscheinlichkeit und bei Vorsichts-Motivation ein Anstieg, während sich die entsprechenden Raten der falschen Alarme im Verlauf der Aufgabe nicht signifikant veränderten.

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Experimental application of detection theory to vigilance behaviour

Summary In a 2×2×2-design the effects of number of dials, number of irrelevant stimuli and kind of motivation were combined. It was found out, that probabilities of missed signals and false alarms increased with spatial uncertainty. The number of irrelevant stimuli, which were of equal sensory modality as the relevant stimuli, had no influence either on detection probability or on false alarms rate.Further attempt was made to systematize effects of motivation on vigilance performance in the detection model. With great values for hits and small costs for false alarms (risky motivation) there was an essentially higher detection pobability and a slightly higher false alarms rate than with small values for hits and high costs for false detections (cautious motivation). The probabilities of detections decreased under risky motivation and increased under cautious motivation as the watch prolonged, whereas the corresponding probabilities of false alarms showed no significant changes.

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Teil I der Dissertation, die im Januar 1969 der Philosophischen Fakultät der Freien Universität Berlin vorgelegt wurde.     

On finite approximability of ψ-intermediate logics

The aim of this note is to show (Theorem 1.6) that in each of the cases: = {, }, or {, , }, or {, , } there are uncountably many -intermediate logics which are not finitely approximable. This result together with the results known in literature allow us to conclude (Theorem 2.2) that for each : either all -intermediate logics are finitely approximate or there are uncountably many of them which lack the property.     

A longitudinal study of the marriage role expectations of college women: 1961–1984

The marriage role expectations of female university students enrolled in an introductory marriage and family course at the University of Kentucky in 1961 (N=72), 1972 (N=58), 1978 (N=115), and 1984 (N=81) were compared. The 1972 group was found to be significantly more egalitarian than the 1961 group in overall marriage role expectations and on all subscales except authority. The 1978 and 1984 groups were significantly more egalitarian than the 1961 group on overall marriage role expectations and on all seven of the subscales: authority, homemaking, child care, personal characteristics, social participation, education, and employment and support. The 1978 group was significantly more egalitarian than the 1972 group only on authority and homemaking, with no significant differences on the other five subscales or on overall role expectation score. The 1984 group was significantly more egalitarian than the 1972 group only on authority, homemaking, and child care, and was slightly (not satistically significant) more traditional on personal characteristics and social participation. There were no significant differences between the 1978 and 1984 groups on overall expectation or on any of the subscales. In fact, the 1984 group was slightly more traditional on homemaking, personal characteristics, social participation, employment and support, and overall expectations. The data from this study showed the greatest gain in egalitarian trends to be between 1961 and 1972, with a continuation of the trends at a somewhat slower rate of change between 1972 and 1978, and a discontinuation of the trend toward more egalitarian expectations between 1978 and 1984.The data were collected in February 1961, January 1972, September 1978, and September 1984. Special acknowledgement and appreciation are expressed to Jessie Ringo (retired), University of Kentucky, for making the 1961 data available for this study.     

Managerial Stress, Locus of Control, and Job Strain in Taiwan and UK: A Comparative Study

This study investigated managerial stress in Taiwan and UK using the Occupational Stress Indicator-2 (OSI-2) and the Work Locus of Control (WLCS) scale. Results showed that the reliability and validity of the measures used were acceptable and comparable in the two samples. There were similarities as well as differences in managerial stress in the two countries. Recognition and Managerial role were important predictors of strain for the Chinese managers, whereas Relationships, Organizational climate, and Personal responsibility were important predictors of strain for UK managers. There were consistent moderating (vulnerability) effects of internal control for the Taiwanese managers. Results corroborated some previous studies conducted in the West. However, caution was also suggested for generalizing Western-originated concepts and theories across cultural boundaries.     

A Revenge-Immune Solution to the Semantic Paradoxes

The paper offers a solution to the semantic paradoxes, one in which (1) we keep the unrestricted truth schema True(A)A, and (2) the object language can include its own metalanguage. Because of the first feature, classical logic must be restricted, but full classical reasoning applies in ordinary contexts, including standard set theory. The more general logic that replaces classical logic includes a principle of substitutivity of equivalents, which with the truth schema leads to the general intersubstitutivity of True(A) with A within the language.The logic is also shown to have the resources required to represent the way in which sentences (like the Liar sentence and the Curry sentence) that lead to paradox in classical logic are defective. We can in fact define a hierarchy of defectiveness predicates within the language. Contrary to claims that any solution to the paradoxes just breeds further paradoxes (revenge problems) involving defectiveness predicates, there is a general consistency/conservativeness proof that shows that talk of truth and the various levels of defectiveness can all be made coherent together within a single object language.     

On some structural aspects of physical problems

Bachelard's concept of the problématique is used in order to classify physical problems and their interrelations. This classification is effectuated along two dimensions. Along the horizontal dimension, physical problems are divided into the kinds that the different modes of physics' development define. These modes are themselves determined by the interplay among the conceptual system, the object and the experimentation transactions specific to physics. Along the vertical dimension, physical problems are classified according to the different stages of maturation they have to undergo before the process of their solution is effectively undertaken. To determine these maturation stages, the Althusserian conception of ideology is used. The interrelations between physical problems are examined through the introduction and elaboration of the notion interdependence network.It is a pleasure to thank Marcello Pera and Kostas Gavroglou for their very helpful comments and criticisms.     

Maturing Religious Experience and the Postmodern Self

Past attempts to define mature religion have been rooted in a modernist theological anthropology which assumes an atomistic, universal, rational, and stable human self. Yet postmodernists resist universal statements about humanity and understand the self as an ever-changing social construct. This paper suggests a theological anthropology more adequate to the postmodern world, examines maturing religious experience from this perspective, and considers ways pastoral care/counseling can nurture healthy, integrative, and maturing Christian faith in postmodern culture.     

Codependence and Interdependence: Cross-Cultural Reappraisal of Boundaries and Relationality

This article explores the cross-cultural implications of the Western notion of boundaries and the Asian matrix of relationality for pastoral care ministry. Theorists of codependence (relationship addiction) show that American awareness of boundaries produces phobic attitudes toward the interwoven interplay of human relationships. Noting the underlying American cultural ideal (i.e., individual autonomy), evidences that boundaries are culturally defined are reviewed. Drawing upon the social-psychological concept of interdependence (Asian construal of self), the author proposes that there is a need for a different understanding of boundaries, since some Asian people have strikingly different construals of the self, of others, and of the interdependence of the two. Boundaries and relationality need to be in dialogue with each other so as to create relational boundaries that empower mutual relations within which we may come to experience the power of the relational, triune God.     

African American Dance - Philosophy,Aesthetics, and ‘Beauty’

This essay considers the recuperation of beauty as a productive critical strategy in discussions of African American dance. I argue that black performance in general, and African American concert dance in particular, seeks to create aesthetic sites that allow black Americans to participate in discourses of recognition and appreciation to include concepts of beauty. In this, I suggest that beauty may indeed produce social change for its attendant audiences. I also propose that interrogating the notion of beauty may allow for social change among audiences that include dance theorists and philosophers. Through a case-study consideration of work by three African American choreographers, Donald Byrd (b. 1949), Ulysses Dove (1947 – 1996), and Abdel Salaam (b. 1949), I ultimately hope to suggest critical possibilities aligning dance performance with particular aesthetic theory relevant to its documentation and interpretation.     

A further analysis of the affective meanings associated with male and female sex-trait stereotypes

This study was concerned with the qualitative differences in the male and female sex-trait stereotypes. Previous research employing the item pool of the Adjective Check List (ACL) had indicated no relationship between the stereotype loading of the adjectives and their favorability ratings. In the present study, university students rated the ACL items for strength and activity, and these ratings were used to demonstrate that the male stereotype was appreciably stronger and more active than the female stereotype. It was found that the strength ratings were highly correlated with both activity and favorability ratings which were, themselves, unrelated. It was concluded that the principal qualitative difference between the stereotypes lay in the connotations of activity and passivity associated, respectively, with the male and female stereotype traits, and that any assertion of greater social desirability for the male stereotype was based on its greater activity and not, as is often supposed, on its greater favorability.     

Utility theory with inexact preferences and degrees of preference

a–b* c–d is taken to mean that your degree of preference for a over b is less than your degree of preference for c over d. Various properties of the strength-of-preference comparison relation * are examined along with properties of simple preferences defined from *. The investigation recognizes an individual's limited ability to make precise judgments. Several utility theorems relating a–b * c–d to u(a)–u(b) are included.     

A Translation of Intuitionistic Predicate Logic into Basic Predicate Logic

Basic Predicate Logic, BQC, is a proper subsystem of Intuitionistic Predicate Logic, IQC. For every formula in the language {, , , , , , }, we associate two sequences of formulas 0,1,... and 0,1,... in the same language. We prove that for every sequent , there are natural numbers m, n, such that IQC , iff BQC n m. Some applications of this translation are mentioned.     

On a complexity-based way of constructivizing the recursive functions

Let g _E(m, n)=o mean that n is the Gödel-number of the shortest derivation from E of an equation of the form (m)=k. Hao Wang suggests that the condition for general recursiveness mn(g _E(m, n)=o) can be proved constructively if one can find a speedfunction _{s s}, with _s(m) bounding the number of steps for getting a value of (m), such that mn _s(m) s.t. g _E(m, n)=o. This idea, he thinks, yields a constructivist notion of an effectively computable function, one that doesn't get us into a vicious circle since we intuitively know, to begin with, that certain proofs are constructive and certain functions effectively computable. This paper gives a broad possibility proof for the existence of such classes of effectively computable functions, with Wang's idea of effective computability generalized along a number of dimensions.We are grateful to an anonymous referee for Studia Logica for valuable advice leading to substantial improvements in the presentation of the main definitions and theorem.     

Are there human rights?

Conclusion In conclusion, I have tried to show that if there are any rights at all, legal, moral and political, there are at least the sorts of human rights cited in the Universal Declaration, rights which extend beyond the slender base provided by Hart's right to be free and which include the right to an adequate human life for everyone, rights shared by all, rights that, as rights, imply correlative duties. Even though the duties thus implied are admittedly imperfect, as rights, they confer upon right-holders, the authority to obligate others.I have argued for the most part against regarding any rights, even some human, rights (interchangable here with manifesto rights, welfare rights, rights of recipience, social and economic rights, programme rights, Fawcett calls them, positive in rem rights) as claims to rights or proposals for adoption as rights. I have argued that to have a right of any kind, including especially a human right, one shared by and held equally by all human beings,while not unconditional or unalterable, is fundamentally important, - to return once again to Feinberg's definition at the opening of this paper. A human right is fundamentally important, however, only if it, too, implies an obligation on the part of other people, one in which other people are obligated to use their power and resources to make things happen. To havea right is to be in a position to impose corresponding obligations on others. As Kant pointed out, a right of any kind gives a right holder a title to compel.

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Gender,Race, and Speech Style Stereotypes

Considerable research has shown that people have stereotypical beliefs about the speech and communication style of women and men. There is less research about stereotypes of Black people's speech, and none that jointly or comparably investigates communication stereotypes as a function of both gender and race. In this study, White college students (n = 111) rated a fictional character's speech on 36 pairs of words characteristic of communication style (e.g., emotional–unemotional) and also generated dialogue for the character. Targets' race and sex were varied. Results showed that beliefs about speech style were stronger for race than gender. Black speakers, both women and men, were rated as more direct and emotional, and less socially appropriate and playful, than White speakers. The dialogue generated by participants for Black speakers was less grammatical and more profane than for White speakers. Gender effects were consistent with earlier research but suggest a weakening of stereotypes; women's speech was seen as somewhat less direct and more emotional than men's speech. Beliefs about speech and communication style are important because they may function not only to describe what is but to prescribe what should be in social interaction.