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.     

Applications of object relations theory and self-psychology in current group therapy

In an effort to explore how group therapists can apply psychoanalytic theory in the group modality to advantage, two major developments in analytic theory are examined. 1) Kernberg stresses the neutral interpretive stance and utilizes concepts of protective identification and splitting in dealing with borderline pathology. This paper illustrates concretely how such theory can be used by the group therapist to encourage working through in the group situation. 2) Kohut's work stresses the empathic, nurturant analytic stance and focuses upon idealization, the grandiose self and the self-object. An understanding of these concepts helps the group therapist avoid obstacles in the treatment of narcissistic patients and can enrich the therapeutic work. The paper concludes that treatment of the difficult patient may be enhanced by the group situation in combination with specific psychoanalytic concepts.     

The family as portrayed on prime-time television, 1947–1990: Structure and characteristics

Successful family series across four decades of American prime-time television were examined. Family portrayals were defined as either conventional or nonconventional. Conventional families were categorized as couples without children and couples with children. Nonconventional families were categorized as single parent or contrived. Additional family characteristics were also recorded including sex of single parent, reason for singleness, social class status, females employed outside the home, live-ins, race, and whether the presentation was dramatic or comedic. The data show a trend toward more equal presentation of conventional and nonconventional families, few divorced or female single parents, and few minority families. Implications of findings are discussed and future research questions suggested.     

Illustrating two complementary enterprises at the interface of psychology and religion through reading Winnicott

Our work at the interface of psychology and religion can proceed in two complementary directions. When reading a psychological theory, (1) we may pay special attention to how certain concepts in particular, and the system of ideas as a whole, are being or might be used to interpret religious phenomena. We may focus on how those ideas may be involved in doing psychology of religion: the psychological interpretation of religious phenomena. Alternatively, (2) we may pay special attention to how certain concepts in particular, and the system of ideas as a whole, are being or might be used, either implicitly or explicitly, to make claims about human nature, about the meaning and purpose of life, about God. We may identify the psychology as religion-theology: psychological ideas potentially functioning in a religious-theological manner. I will illustrate this by: (a) examining D. W. Winnicott's article, Transitional Objects and Transitional Phenomena (1953/1986) in terms of three successive concepts or categories: transitional object, transitional phenomena, and a third intermediate area of experiencing; (b) considering how these categories can be used in psychology of religion; (c) reconsidering how the psychological categories may function as religious-theological. The discussion is intended to illustrate how we might more fully appreciate how and why a psychological theory may work well in doing psychology of religion when we more fully appreciate how that psychology implicitly functions as theology.     

Distinctions between subgroups of asthmatic children: Parental reactions to experimental separation

Parental reactions to experimental separation were analyzed for two groups of asthmatic children, those for whom behavioral factors were judged highly relevant to asthma and those for whom such factors appeared unimportant. The former group of 13 (predicted positives) had shown a highly significant improvement in asthma during separation from their families; the latter group of 12 (predicted negatives) had not. Coding of standardized interviews conducted around the time of separation disclosed that parents (mothers, especially) of predicted positives scored significantly higher than parents of predicted negatives on such scales as fussing over the child at the time of leave taking, missing child, experiencing pain and discomfort during the separation, being anxious over child's welfare, etc. Psychological test data did not discriminate between the parents' or childrens' groups as clearly as the more focused separation interviews but the test results were consistent with interview differences. The separation elicited very strong emotional reactions from several mothers.This study was supported by United States Public Health Service Grant No. HD01060 from the National Institute of Child Health and Human Development. Kirk Brady, John Means, loan Muser, and Claire Purcell contributed to data collection and/or data analysis.     

A game-based formal system for Ł∞

A formal system for , based on a game-theoretic analysis of the ukasiewicz prepositional connectives, is defined and proved to be complete. An Herbrand theorem for the predicate calculus (a variant of some work of Mostowski) and some corollaries relating to its axiomatizability are proved. The predicate calculus with equality is also considered.     

In and behind a Lenneberg paradigm

Lenneberg suggested that a chimpanzee's linguistic ability could be tested by presenting sentences containing two prepositional phrases joined by a conjunction. This would involve joining two semantic propositions, and thus represents a more complex test of chimpanzee syntactic competence than previously attempted. Jane, a five year-old language trained chimpanzee, was tested on her ability to both produce and comprehend sentences involving a preposition (in or behind) and a conjunction (and). The results from production and comprehension were substantially the same. Jane showed the ability to appropriately deploy and, behind and in, but displayed very little flexibility in their use. It is suggested that a chimpanzee may be able to learn some rules of syntax but is not able to be creative with that syntax.     

The Deep Structure of Group Life: Unconscious Dimensions

There is a reconsideration and renaissance of interest in expanded conceptions of unconscious processes as they affect individuals and groups (Grotstein, 1999). Recent focus on social unconscious (Hopper, 1996) and cultural unconscious processes (Henderson, 1988) and the nature of intersubjectivity (Harwood and Pines, 1998) raise questions about the location of group analysis. This paper considers the deep structure of group life by examining four functions of the unconscious: repressive, conservative, creative, and mythopoetic (Ellenberger, 1970). On an individual level of analysis, these functions are equated respectively with formative ideas about the: personal–subjective, social–political, intersubjective–cultural and collective–objective unconscious. Group level analogs, as they develop and affect groups and their members, are explored as synthetic, shared, symbolicy and synchronous unconscious processes.     

Poetry in Existential Psychotherapy with Couples and Families

The use of poetry during the process of existential psychotherapy with couples and families is described and illustrated. In this approach, poems can be utilized to help the couple and/or family notice meaning potentials in the future, actualize and make use of such meaning potentials in the here and now, and re-collect and honor meanings previously actualized and deposited in the past.     

A partially ordered extention of the integers

This paper presents a monotonic system of Post algebras of order +* whose chain of Post constans is isomorphic with 012 ... -3-2-1. Besides monotonic operations, other unary operations are considered; namely, disjoint operations, the quasi-complement, succesor, and predecessor operations. The successor and predecessor operations are basic for number theory.The editing of this unified version of two previous papers [Epstein, Rasiowa 1990, 1991] by the authors was completed, except for footnotes, while the first author visited at Warsaw University during June–July, 1994. The footnotes were added by the first author in September, 1994.Presented byRyszard Wójcicki     

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.     

Froebel and the Rise of Educational Theory in the United States

This contribution compares entries on Friedrich Froebel and the kindergarten in German and United States histories of education from 1857 to 1933. In the American histories, Froebel appears as the great hero of education of the 19th century, whereas in the German histories, Pestalozzi is the hero. This difference in the perspectives goes back to fundamental differences in the political culture and political traditions of the two countries, which differed greatly as to the shaping of the public and private spheres. Consequently, there were also different views on public education. In the immigration society of the United States, it was important to integrate children with various language and cultural backgrounds. As families could not do this alone, public kindergartens were needed. In Germany, in contrast, Froebels idea of the kindergarten was seen as an attack on family ties, and Pestalozzi was highly esteemed, because he made home education central. The American interest in making citizens produced Froebel as the hero; the German interest in leaving the education of young children to mothers and in the family lauded Pestalozzi. This case study of the reception of Froebel in Germany and the United States illustrates the high context-dependence of the construction of educational heroes.     

Children's understanding of some temporal terms denoting order,duration, and simultaneity

This study examined the comprehension by children of the concepts of order, duration, and simultaneity as reflected in certain linguistic structures. The children in the study were 3, 5, and 7 years old. Temporal order was examined through children's comprehension of two-clause sentences containing the conjunctions after, before, since, and until. Temporal duration was examined through children's understanding of one-clause sentences containing the progressive aspect and two-clause sentences containing the conjunctions since and until. These two conjunctions signal duration in the main clause when they conjoin two clauses. Simultaneity was studied through children's comprehension of two-clause sentences containing while. The results revealed that the order sentence structures (before and after) were generally comprehended by the children before the duration or simultaneous sentence structures, although at 7 years of age children were still not performing above chance on the order relation in since and until sentences. The duration sentence structures were comprehended by the children before the simultaneous sentence structures. The results support the literature in cognitive psychology and in philosophy which argues that order is simpler than duration is simpler than simultaneity.This report is based on a dissertation submitted to the University of Michigan in partial fulfillment of the requirement for the Ph.D.     

Descartes and the Primacy of Practice: The Role of the Passions in the Search for Truth

This paper argues that Descartes conceives of theoretical reason in terms derived from practical reason, particularly in the role he gives to the passions. That the passions serve — under normal circumstances — to preserve the union of mind and body is a well-known feature of Descartes's defense of our native make-up. But they are equally important in our more purely theoretical endeavors. Some passions, most notably wonder, provide a crucial source of motivation in the search after truth, and also serve to reinforce memory. Our cognitive successes and failure scan also be tracked by passions and trains of passions.     

Variations in use of the term “or”

Two studies showed that adults' responses to questions involving the term or varied markedly depending upon the type of question presented. When presented with various objects (A's and B's) and asked to circle all things which are A or B subjects tended to circle A's as well as B's, whereas when asked to circle all the A's or B's subjects showed a relatively stronger tendency to circle one or the other. Moreover the nature of the sets of objects (As and Bs) influenced behavior as well. There was also evidence that the effects due to question wording or set type transferred.     

Six-year-old children's understanding of sentences adjoined with time adverbs

The adjoining of clauses with temporal links is the basis for many sentences that convey sequence of events. The present study attempts to delineate 6-year-old children's (N=30) understanding of the meaning sequences imparted by sentences adjoined with after, before, and until. Their performance of the meaning sequence for each of 24 carefully constructed sentences is compared to an adult model. Analysis of the results (using a Wilcoxon Matched Pairs Signed Rank Test) indicated that: (1)Ss understood sentences adjoined with after according to an adult model more frequently than before adjoined sentences (P<0.01); (b) Until adjoined sentences with a negative marker in the main clause were understood according to an adult model more often than until adjoined sentences with no such negative element, but the difference was not significant at a=0.01; (3)Ss understood before adjoined sentences according to an adult model more often than until adjoined sentences, but the difference was not significant at a=0.01. In general, the results indicated that 6-year-olds have not yet completed development of an adult grammar with respect to adjoining clauses with temporal links, after, before, and until.     

"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.     

Comments on “the measurement of factorial indeterminacy”

Guttman's index of indeterminacy (2² – 1) measures the potential amount of uncertainty in picking the right alternative interpretation for a factor. When alternative solutions for a factor are equally likely to be correct, then the squared multiple correlation ² for predicting the factor from the observed variables is the average correlation _AB between independently selected alternative solutionsA andB, while var ( _AB )=(1 – ²)²/s, wheres is the dimensionality of the space in which unpredicted components of alternative solutions are to be found. When alternative solutions for the factor are not equally likely to be chosen, ² is the lower bound for E( _AB ); however, E( _AB ) need not be a modal value in the distribution of _AB . Guttman's index and E( _AB ) measure different aspects of the same indeterminacy problem.     

Treating connectionism properly: Reflections on Smolensky

Summary In this essay, I undertake to examine the principal theses of Paul Smolensky's 1988Behavioral and Brain Sciences target article, On the proper treatment of connectionism, from the point of view of the methodology and epistemology of science, that is, the philosophical theory of theories in general. After exploring the instrumentalist and realist views of the relationships between micro- and macrotheories on their home ground in the natural sciences, the procedures by which a phenomenally described cognitive task is prepared for symbolic or subsymbolic modeling, and the contrast between the deliberate conscious reasoning processes of a novice and intuitive behavior of an expert in solving a given family of cognitive problems, I argue that although Smolensky is right about what it would take for connectionist subsymbolic models to relate to symbolic models as micro- to macrotheories, he is wrong in concluding that they do. On the contrary, it would be something of a miracle if the idealized nomological structure of the behavior of stochastic patterns of activity over large numbers of subsymbolic units in a connectionist machine corresponded even approximately to the nomological structure of the conceptual level behavior of a Von Neumann computer running off a program whose syntax had been explicitly designed to structurally operationalize a determinate fragment of intentional semantics — unless, of course, the connectionist machine had been deliberately constructed to implement the symbol processor in the first place.I conclude that the proper treatment of connectionism is to be found among the blandly ecumenical proposals for irenic cooperation and division of labor that Smolensky considers and rejects.