Partially-Ordered (Branching) Generalized Quantifiers: A General Definition

Following Henkins discovery of partially-ordered (branching) quantification (POQ) with standard quantifiers in 1959, philosophers of language have attempted to extend his definition to POQ with generalized quantifiers. In this paper I propose a general definition of POQ with 1-place generalized quantifiers of the simplest kind: namely, predicative, or cardinality quantifiers, e.g., most, few, finitely many, exactly , where is any cardinal, etc. The definition is obtained in a series of generalizations, extending the original, Henkin definition first to a general definition of monotone-increasing (M) POQ and then to a general definition of generalized POQ, regardless of monotonicity. The extension is based on (i) Barwises 1979 analysis of the basic case of M POQ and (ii) my 1990 analysis of the basic case of generalized POQ. POQ is a non-compositional 1st-order structure, hence the problem of extending the definition of the basic case to a general definition is not trivial. The paper concludes with a sample of applications to natural and mathematical languages.     

The treatment of adolescents and their families in cultural transition: Issues and recommendations

Increasing numbers of immigrant families with adolescent children are seeking therapy because of intergenerational conflicts specific to the adolescent separation-individuation phase of the life cycle and transitional problems related to immigration and cultural transition. Three types of adolescent immigrants are identified and discussed: Immigrants (subtypes Reluctants and Optimists), Immigrant-Americans, and Americans. Therapists' issues which can negatively affect therapy with such adolescents and families are also discussed. Effective therapy with immigrant families requires that family therapists become more culturally sensitive, therapeutically flexible, and accepting of family values to which they may be diametrically opposed. Recommendations for therapy are offered.Dr. Baptiste is himself an immigrant. The experiences and observations discussed here are culled from his work with immigrant families and children over the past 19 years in the District of Columbia, Massachusetts, Indiana, and New Mexico.Portions of this article will appear in a chapter Psychotherapy with adolescent immigrants and their families in cultural transition in B. Settles and D. Hanks (Eds.),Families on the move: Emigration, immigration, migration and mobility. Sage Publications, 1990, and are used here with permission.     

A reduction rule for Peirce formula

A reduction rule is introduced as a transformation of proof figures in implicational classical logic. Proof figures are represented as typed terms in a -calculus with a new constant P ⁽⁽⁾⁾. It is shown that all terms with the same type are equivalent with respect to -reduction augmented by this P-reduction rule. Hence all the proofs of the same implicational formula are equivalent. It is also shown that strong normalization fails for P-reduction. Weak normalization is shown for P-reduction with another reduction rule which simplifies of (( ) ) into an atomic type.This work was partially supported by a Grant-in-Aid for General Scientific Research No. 05680276 of the Ministry of Education, Science and Culture, Japan and by Japan Society for the Promotion of Science. Hiroakira Ono     

The artist as transgressor in Mandel'štam's poetry

In Mandel'tam's writing, artistic creativity is described as based on the indispensable yet contradictory modes of compliance and deviation. The artist, by his artistic nature, must be an obedient disciple to the tradition that inspires him, and, at the same time, a violator who renders what inspires him in an individual form. Thus, art implies iterability through novelty. In the totalitarian state, this double nature of art acquires a sinister context and brings the artist to an unavoidable conflict with the state. He has a choice between a servile compliance with the state's command and artistic independence. If the artist complies, he loses his ingenuity; if, on the other hand, he has the courage to break away from the established order, his fate is martyrdom. The criteria of truth and falsehood, the issue of loyalty, of compromise and collaboration or resistance become most relevant. Such words as outcast or non-contemporary acquire the meaning of non-collaborationist or enemy of the people. In the totalitarian state a genuine artist is viewed as a law-breaker, and his art leads him to crime. The notions of compliance and deviation cease being merely aesthetic terms and assume in Mandel'tam's poetry complex, subtle and tragic overtones.I would like to express my gratitude to John Barnstead, Thomas Blakeley, James Doull, Elena Glazov-Corrigan, Gregory Glazov, Leonard Kazdan, Peter Kussmaul, Malcolm Ross, Detlev Steffen, and Ieva Vitins for their valuable criticism, suggestions, and revisions of my English.     

A Work in Progress

After expressing gratitude to each contributor, and briefly commenting on each, I probe several main themes of my work, addressing the question of the apparent difference between my earlier philosophical and later clinical writings. Central to both is the reflexivity of the human agent, and that each exhibits a form of practice regardless of the specific aims embedded in each. I then address the theme of narrative writing as my work has developed over the past several decades – at the heart of which are questions of self and integrity.     

John Dewey's impact on Turkish education

Conclusion The cultural characteristics of any country generally give shape to the educational system. However, no country can assert its own educational system to be wholly indigenous. All the systems come into being as a synthesis of various ingredients of the home country and other countries. And it is quite natural to make use of the experiences and stock of knowledge of the others. This fact is indispensable especially when education is concerned. The curicial problem is to what extent the borrowing process should be used. When the process of borrowing ideas become to take the form of imitation or copy, unexpected results and failure are unavoidable.     

Difficult Patients in Group Analysis: The Personification of (ba) I:A/M

Following a discussion of the treatment of difficult patients in group analysis, two theories are proposed concerning a fourth basic assumption in the unconscious life of groups, called Incohesion: Aggregation/Massification or (ba) I:A/M and the personification of basic assumption processes, in particular that of (ba) I:A/M by difficult patients. These theories are illustrated with clinical data. Special attention is given to crustacean and amoeboid forms of encapsulation as a defence against the fear of annihilation within the context of the traumatogenic process. It is suggested that for difficult patients the treatment of choice is dyadic psychotherapy/psychoanalysis followed by group analysis.     

Influence and development: Two basic paradigms of education

The article discusses two basic paradigms of western educational theory, namely the concept of influence and the concept of development. Two historical contextes are analyzed, John Locke's theory of human learning and Jean-Jacques Rousseau's theory of natural development. Both theories are rejected in favour of a position beyond influence and development. This position of a theory of education (Erziehung) is marked with the term moral communication.An earlier and slightly different version of this article was presented to the International Symposion The Crisis of Schools (Corsendonck/Belgium, March 1992). It was translated from the german original by Annette Roeder. The final draft is my own.     

Yes,Virginia, Lemons are Yellow

This paper discusses a number of themes and arguments in The Quest for Reality: Stroud's distinction between philosophical and ordinary questions about reality; the similarity he finds between the view that coloris unreal and the view that it is subjective; his argument against thesecondary quality theory; his argument against the error theory; and the disappointing conclusion of the book.     

Dynamic Inconsistency and Performable Plans

An agent may abandon an initiated action plan, although he doesnot acquire new information or encounter unforeseen obstacles.Such dynamic inconsistency can be to the agent';s guaranteeddisadvantage, and there is a debate on how it should rationallybe avoided. The main contenders are the sophisticated andthe resolute approaches. I argue that this debate is misconceived,since both approaches rely on false assumptions about theperformability of action plans. The debate can be reformulated,so as to avoid these mistaken assumptions. I try to show that sucha reformulation must rely on certain implausible claims.     

The responsive order: A new empiricism

The uniqueness of logic is upheld and contrasted with twenty roles of a wider responsive order that includes us and our procedures. Empirical responses are precise, but different in different approaches. Procedures and findings are independent of (not separable from) their concepts. Two-way feedback obviates a top-down derivation of findings from assumptions, hypotheses, history, or language. The postmodern problems of interpretation, conditions of appearances and relativism involve the ancient error of making perception the model-instance of experience. Instead, bodily interaction functions in language and precedes perception and interpretation. Logic, space time locations and individuated referents involve positional relations derived from comparing. Beyond Kuhn, Feyerabend, Newton and Einstein, if we can give interaction priority over comparing, the responsive objectivity of both can be upheld. A new empiricism, neither naive nor constructivist, uses the words order, explication, truth, and exactly to build on Wittgenstein and on Dilthey's hermeneutic. Natural language is metaphor-like, originally crossed. Logic must ignore its assumptions. It must render everything as a machine and drop humans and animals out. A new discipline is proposed, to move between the logical and the responsive orders, to deal with the machine/human interface and the social uses of science such as bioengineering.     

Do we need the power metaphor to construct our interpersonal reality?

In my own attempt to answer the question whether we need the power metaphor to construct our interpersonal relations, I have come to the conclusion that it is not necessary. I advocate the standpoint that the power metaphor is an epistemological/operational instrument which, applied to interpersonal relations, leads to selffulfilling prophecies; the power metaphor realizes itself. Of course, it is necessary to recognize when, under what circumstances, and how we operate with respect to the power metaphor. This knowledge which, when achieved, allows us to correct ourselves and look for alternatives. However, I see it as an epistemological and operational error to deal with the power metaphor as if it were an objective given, independent of the observer, which we cannot avoid, of which we are victims, and to whose construction we do not contribute. It is important for therapists to realize that some clients construct their problems with respect to the power metaphor and act accordingly, explicitly or implicitly. To that extent, knowledge about this construction offers the therapist options which can help him in his therapeutic work to encourage the overpowering of this operational and epistemological instrument-the power metaphor.Originally appeared in a special issue ofZeitschrift fur systemische Therapie (1986),4, 258–268, guest-edited by the author.     

Micro-economic models of problem choice in basic science

This paper describes the way in which a certain representation of basic scientific knowledge can be coupled with traditional microeconomic analysis to provide an analysis of rational research planning or agenda setting in basic science. Research planning is conceived as a resource allocation decision in which resources are being allocated to activities directed towards the solution of basic scientific problems. A structuralist representation of scientific knowledge is employed to provide a relatively precise characterization of a basic scientific problem.The research reported here was partially supported by a grant from the EXXON Foundation.     

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.     

Amodale Ergänzung und „Erwartungsfehler“ des Gestaltpsychologen

Zusammenfassung Der Fehler des Gestaltpsychologen wird durch das Erstaunen enthüllt, das von einem gestaltpsychologisch orientierten Forscher empfunden wird, wenn eine gewisse Erscheinung den Erwartungen nicht entspricht, die eine schematische Anwendung des Gestaltprinzips hervorrufen würde. Einige Beispiele, in denen ein solcher Fehler in klarer Weise erscheint, werden angegeben und besprochen. Es werden noch einige Bemerkungen über manche Bedingungen und Folgen der amodalen Ergänzung hinzugefügt.

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Amodal totalization and the Gestalt-Error

Summary The gestalt-expectation-error consists in the surprise felt by a gestalt oriented student of perception, when a perceptual phenomenon does not correspond to the expectations raised by a schematic application of gestalt laws. Some examples of such expectation-errors are presented and discussed. A few remarks on the conditions and the effects of amodal completion phenomena are added.

     

Some relationships between the information function of IRT and the signal/noise ratio and reliability coefficient of classical test theory

It is shown that IRTs information function for an item is functionally related to local versions of classical test theories' signal/noise ratio and reliability coefficient.     

Theorizing Gender for Experimental Game Theory: Experiments with “Sex Status” and “Merit Status” in an Asymmetric Game

In experimental game-theoretic research, to the extent that sex has been considered at all, the approach has been to focus on the individual level of analysis. This paper reports the results of experiments designed to focus on sex/gender and to expand the level of analysis to include the institutional level. An asymmetric game was designed such that players in the male and female institutional locations had 3 and 2 alternatives, respectively. Players earned the institutional locations based on a test, so that top and bottom scorers respectively merited the 3- and 2-alternatives locations. Game-theoretic understandings of sex-of-player were compared to the expectations states theory concept of sex status; that is, men expect and are expected to perform more competently than women. Results indicated that top-scorer men and women behave similarly; bottom-scorer men resist their low merit status (behaving the most rationally of all player groups); bottom-scorer women accept their low merit status (behaving the most irrationally of all player groups). Whereas game theory cannot provide a coherent understanding of these findings, the concept of sex status helps to interpret the behavior of all four player groups and shows how judgments about rationality and irrationality depend critically on the interpretive framework used.     

Advances in Behaviorism: It's Not What It Used to Be

Behaviorism has changed over the past half century and its modern form is not familiar to many educators and other applied professionals. Put briefly, behaviorism has changed from the molecular and absolutist form of years past, when basic researchers, therapists and educators sought to modify isolated target behaviors. Modern behaviorism is relativistic and molar and the articles included in this issue are meant to illustrate this changed emphasis. The first article shows how the matching law has redefined the old law of effect and how that affects application. The second shows how relational frames provide a behavioral treatment of cognitive variables that dispels the stereotyped view of behavior modification. The third treats molar classes of behaviors as traits, and individual behaviors as states, applying that distinction to aspects of the relative frequencies of behaviors of children at home and at school. Finally, the last article shows specifically how behavioral methods have been (and are) applied to the behavior of autistic children, in a program that has been extremely successful over the past few years.     

Effects of amphetamine on vigilance performance in normal and hyperactive children

Deficient sustained attention is a symptom of hyperactivity that can be improved by stimulant medication. Recently, amphetamine has been shown to increase detections during a vigilance task in both normal and hyperactive boys. The present study applied signal detection analysis to the vigilance performance of 15 hyperactive and 14 normal boys divided into two age groups (6–9 and 10–12). A computerized continuous performance test was administered under amphetamine and placebo. Overall group comparisons indicated that perceptual sensitivity or d was higher for the normal boys and the older groups, and analysis of drug treatments showed that amphetamine significantly increased d. Interactions between drugs and age groups demonstrated that amphetamine affected the younger boys to a significantly greater degree than the older children for both d and response bias or . It is notable that the results were essentially parallel for both normal and hyperactive children.     

Once More into the Breach of Self-Ownership: Reply to Narveson and Brenkert

In reply to Narveson, I distinguish his no-proviso argument from his liberty argument, and I show that both fail. I also argue that interference lacks the strategic status he assigns to it, because it cannot be appropriately distinguished, conceptually and morally, from prevention; that natural resources do enjoy the importance he denies they have; that laissez-faire economies lack the superiority he attributes to them; that ownership can indeed be a reflexive relation; that anti-paternalism does not entail libertarianism; and that he misrepresents the doctrines of a number of philosophers, including John Locke, Ronald Dworkin, and myself. In reply to Brenkert, I show that he seriously misconstrues my view of the nature of freedom, and of its relationship to self-ownership. I then refute his criticisms of my treatment of the contrasts between self-ownership, on the one hand, and autonomy and non-slavery, on the other. I also show that his attempt to exorcize the demon of self-ownership is multiply flawed.