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.     

Theological and Biblical Interpretations of Current Movements and Emerging Paradigms Within Bereavement Studies

Among the predominant themes in the last few years of bereavement studies have been those around disenfranchised grief, masculine grief, spirituality and grief, and the movement from medical/hierarchical models of grief work/counseling to a more non-hierarchical model that emerges internally, inherently, and intrinsically within the bereaved. In the latter model the grief counselor becomes a facilitator or, as Alan Wolfelt noted at the Chicago ADEC conference, a companioning presence. The intent of this article is to take this conversation into the realm of theology, and/or biblical theology. The following offers theological analysis of what is already good clinical theory. Integrating theories from anthropology and theology, this article will explore the concepts of voice, etic and emic theory, and incarnational theology as they relate to emerging patterns in bereavement studies. It will also relate a model of the Kingdom of God to disenfranchised grief, as well as offer support for the theory of masculine grief from biblical sources and complementary fields of study.     

Intuitionistic uniformity principles for propositions and some applications

This note deals with the prepositional uniformity principlep-UP: p x N A (p, x) x N p A (p, x) ( species of all propositions) in intuitionistic mathematics.p-UP is implied by WC and KS. But there are interestingp-UP-cases which require weak KS resp. WC only. UP for number species follows fromp-UP by extended bar-induction (ranging over propositions) and suitable weak continuity. As corollaries we have the disjunction property and the existential definability w.r.t. concrete objects. Other consequences are: there is no non-trivial countable partition of;id is the only injective function from to; there are no many-place injective prepositional functions; card () is incomparable with the cardinality of all metric spaces containing at least three elements.     

Sets and Classes as Many

In this paper the view is developed that classes should not be understood as individuals, but, rather, as classes as many of individuals. To correlate classes with individuals labelling and colabelling functions are introduced and sets identified with a certain subdomain of the classes on which the labelling and colabelling functions are mutually inverse. A minimal axiomatization of the resulting system is formulated and some of its extensions are related to various systems of set theory, including nonwellfounded set theories.     

Rhetoric and Double Hermeneutics in the Human Sciences

Based on an analysis of double hermeneutics in the human sciences, a distinction between a weak and a strong rhetorical analysis of human-scientific research is introduced, taking account of the self-reflective character of hermeneutic interpretation. The paper argues that there are three hermeneutic topics in the research process for human-scientific experience, which are associated with applying specific rhetorical tools. The three topics are described under the following rubrics: (a) bridging the gap between experience-near and experience-distant concepts; (b) achieving integrity of the cultural objects dispersed in different interpretive strategies; and (c) taking into consideration that an important task of hermeneutic interpretation in human-scientific research is to give an account of the object's immanent narrative coherence. The paper is written in the conviction that a kind of re-methodologization of philosophical hermeneutics which does not rehabilitate epistemological foundationalism can provide a new philosophical identity to the human sciences.     

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.     

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.     

Dowód aksjomatyzowalności pewnychn-wartościowych rachunków zdań

Praca ta zostaa wykonana pod kierunkiem prof. drJerzego Supeckiego. Jej szczególny przypadek dotyczcyn-wartociowego rachunku zda o jednej wartoci wyrónionej by referowany w Warszawie na zjedzie Grupy Logiki Instytutu Filozofii i Socjologii PAN. Streszczenie tego referatu [5] zostao wydrukowane w Sprawozdaniach Wydziau Nauk Spoecznych PAN.Allatum est die 19 Aprilis 1963     

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.     

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.     

Clocks,Creation and Clarity: Insights on Ethics and Economics from a Feminist Perspective

This essay discusses the origins, biases, and effects on contemporary discussions of economics and ethics of the unexamined use of the metaphor an economy is a machine. Both neoliberal economics and many critiques of capitalist systems take this metaphor as their starting point. The belief that economies run according to universal laws of motion, however, is shown to be based on a variety of rationalist thinking that – while widely held – is inadequate for explaining lived human experience. Feminist scholarship in the philosophy of science and economics has brought to light some of the biases that have supported the mechanistic worldview. Possible alternatives to the an economy is a machine include an economy is a creative process and an economy is an organism. Such metaphors are intellectually defensible as guides to scientific inquiry and provide a richer ground for moral imagination.     

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.     

Pr?dikative klassen

We consider certain predicative classes with respect to their bearing on set theory, namely on its semantics, and on its ontological power. On the one hand, our predicative classes will turn out to be perfectly suited for establishing a nice hierarchy of metalanguages starting from the usual set theoretical language. On the other hand, these classes will be seen to be fairly inappropriate for the formulation of strong principles of infinity. The motivation for considering this very type of classes is a reasonable philosophy of set theory. Familiarity is assumed only with basic concepts of both set theory and its philosophy.     

Self and others in “private language”

The aim of this paper is to restore the interdependent or complementary relationship between self and others against the universalistic one (as I call it) that Kant, for example, once insisted on, by reexamining the concept of so-called private language. I shall consider some views in speech act theory and pragmatics, since there has often been discussion about such a private occurrence as the speaker's sincerity. For example, Jürgen Habermas situates it in the speaker's internal nature as will be seen later. In my opinion, alter ego is an ego because we can empathize (einfühlen) with it, and yet it is alter ego because it has some private experiences which we cannot perfectly comprehend.     

Quantitative Versuche über die Prägnanz von Punktmustern

Summary The intention of the paper is to describe Prägnanz-phenomena in terms of information theory. Two different concepts for the application of informational variables to perceptual processes are discriminated. For several reasons, Attneave's concept (1951) is preferred: In the sense of information theory single figures can be treated as signal structures; thus the degree of regularity in them should be specifiable in terms of informational variables.Two quasi-informational parameters are used to describe the degree of regularity in simple dot patterns.It was expected that perceived figural quality of dot patterns would increase with the redundancy of spatially distributed messages. At a constant word-length (= constant number of dots), the quality perceived should be the better the lower the entropy (or uncertainty) of the figure.In several experiments the information measures used turned out to be closely related to different operationally defined response-variables for figural quality, e.g. figural goodness-ratings and exactness of the reproduction of dot-positions. Besides, an inverse relationship is observed between interestingness-ratings and redundancy measures.The results are discussed in terms of information theory and psychological concepts. It is shown, that it has important implications on the psychological theory of perception to regard the human perceiver as an information-decoding-system. Apparently there must be some dynamically active system which enables the perceiver to utilize the redundancy of spatial brightness-distributions for sure and quick recognition.     

Sex differences in susceptibility to social influence

Sex differences in compliance and persuasiveness were examined while varying the sex-role relevance of the stimulus. Undergraduate students were asked to respond to opinion statements previously discussed by a fictitious group. Subjects read the group's unanimous opinion accompanying each statement and were told they would participate in a discussion with this group. Some subjects responded to statements about female sex-role relevant activities and others to statements about male sex-role relevant activities. Sex of influence source was manipulated by showing subjects all male or all female names of group members. Compliance was measured by the extent to which a subject's response approximated the group's opinion. The results show that males were more compliant than females when the stimulus statements concerned female sex-role-related activities and that females were more easily influenced when they responded to statements about male sex-role-related activities. Further, subjects were somewhat more easily persuaded by women on female sex-role-related activities and more influenced by men's opinions on issues relevant for males.In most of the social influence literature, alterations in a subject's behavior in an experimental situation has been termed conformity. However, conformity may involve either private acceptance or overt alterations in behavior without cognitive change (i.e., compliance). Throughout this article the term compliance refers to shifts in behavior toward an immediate and transitory social influence (Sherif & Sherif, 1969, p. 191).     

The effects of fading,feedback, and feedback plus instruction on the perfomance of institutionalized retarded children in number retention exercises

Summary Three feedback training procedures, fading, feedback and feedback plus instruction, were used in conjunction with reinforcement contingencies to assess the performance of 12 mentally retarded boys in number rentention exercises. The fading and the feedback plus instruction procedures were the only ones to yield highly significant effects: none of the procedures led to any substantially improved performance in transfer exercises. Advantages of fading over the more traditional procedure (less errors, ability to learn difficult exercises) are discussed, as are the problems arising in the application of this method. Analysis of the exercises showed that premature removal of the additional colour cues in the fading procedure resulted in a substantial reduction of the number of correct responses, especially in the difficult exercises, and that the feedback procedure was particularly unsuccessful in difficult exercises. Methodological problems encountered in previous retention studies were indicated and an attempt made to overcome them.

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Zusammenfassung Kombiniert mit Belohnungen, die nur für richtige Antworten erfolgten, wurden drei Rückmelde-Trainingsverfahren: Fading, Feedback und Feedback plus Instruction angewandt, um 12 geistig retardierte Jungen an Zahlen-Konservations-Aufgaben zu trainieren. Nur die Fading- und Feedback plus Instruction-Techniken zeigten hoch signifikante Trainingsgewinne, doch keine der Techniken führte zu bedeutenden Verbesserungen bei Transferaufgaben. Die Vorteile der Fading-Technik gegenüber mehr traditionellen Verfahren (weniger Fehler, Erlernen schwierigerer Aufgaben) wurde ebenso erörtert wie Probleme ihrer Anwendung. Aufgabenanalysen zeigten, daß erstens verfrühtes Ausblenden der zusätzlichen Farben bei der Fading-Technik zu einem starken Absinken der Anzahl der richtigen Antworten besonders bei schwierigen Aufgaben führt; und daß zweitens die Feedback-Technik beim Erlernen schwieriger Aufgaben besonders geringen Erfolg hat. Methodologische Probleme bei vorausgegangenen Konservationsexperimenten wurden aufgezeigt, und es wurde versucht, diese methodologischen Probleme zu lösen.

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This paper is based on a thesis submitted by the author to the University Mannheim as partial fulfillmant of the requirements for the degree of Master of Science (Diplom). The writer is greatly indebted to Dr. Norman H. Stein for his guidance throughout the planning and execution of the study and to his helpful suggestions and criticisms. The writer is also indebted to Dr. Byron J. Ward for making subjects available at Syracuse State School, and to the teachers of the Association for Retarded Children in Syracuse, New York. The study was conducted during a one year stay at Syracuse University. The financial support of the Studentenwerk Mannheim for tuitions and living expenses and a travel grant of the Fulbright Commission is gratefully acknowledged.     

Gender specificity in value structures

Separate factor analyses of the value rankings of 53 male and 77 female college students yielded three factors for each gender. Interpretation suggested Creative Self-Determination versus Submissive Dependency, Personal Gratification versus Sociopolitical Consciousness, and Existential Responsibility versus Traditionalism as core concepts for the female respondents; while males' axiological dimensions were labeled Communal Idealism versus Entrepreneural Pragmatism, Hedonism versus Egalitarianism, and Sybaritic Bohemianism versus Traditional Sobriety. Each pole of the female factors was interpreted as reflecting a major ideological referent component of the Women's Liberation Movement, while male factors were construed as constituting perspectives for interpreting varieties of response to feminist ideology. Techniques for increasing individuals' levels of self-actualization by direct intervention in axiological organization were discussed.     

Deceit as a function of sex of subject and target person

Thirty male and female undergraduates were run in same- and opposite-sex pairs to determine if the extent of experimentally sanctioned deceit would be influenced by sex pairings and potential for harm to another's self-esteem. Ss, who all believed they were playing the role of a teacher in a learning experiment, were instructed to provide false feedback (lie) at least three times during 30 trials to a learner, the other S. Consistent with hypotheses derived from a consideration of the potential harm to another's self-esteem and a suggested norm of white lying, perceived relative importance of male and female sex roles, and greater female concern for the social welfare of others, it was found that white lies occurred significantly more often than lies, that males were significantly more likely to give false feedback than females, that females were the target of false feedback significantly more often than males, and that the interaction between sex of S and sex of target person was also significant in that males lied to females more than any other sex pairing.This research was partially supported by the New Mexico Highlands University Institute of Scientific Research. A brief version of this report was presented at the Rocky Mountain Psychological Association meeting, Denver, May, 1974.     

Some aspects of eloquence in Descartes's works

In Descartes's philosophy, communicating scientific and philosophical truth does not represent a problem that can be traced back to humanistic rhetoric, meant as the art of persuasion. Descartes states his belief in the eloquence of reason: a clear, precise, and adequately expressed thought cannot fail to convince the listener. This is the measure of the distance between the level of truth and the level of opinion. However, the moment of confrontation with the public is also the very moment when the truth of the new knowledge enters into conflict with other, different conceptions. Education and history influence communication with the result that the distinction between intellectual conviction and persuasion becomes less straightforward. Rational eloquence, as Descartes is well aware, must be articulated in such a way as to avoid any possible language equivocation and to adopt exposition strategies ensuring effective access to readers. The aim of this paper is to illustrate some aspects of this tension as expressed by the writer Descartes with reference to a number of texts (from the Regulae to the Meditationes) that were essential for the elaboration and dissemination of his philosophy.