From I: A/M to “Who am I?”—Aggregation/Massification and Trauma-Based Affects and Object Relations in Groups: A Response to Earl Hopper

Hopper's portrayal of the fourth basic assumption of Incohesion: Aggregation/Massification has two components: (1) a revision of Turquet's theory of BA Oneness to incorporate the polarity of aggregation and massification stemming from annihilation anxiety; and (2) a conception of the difficult patient as having an encapsulated psychosis. Hopper's theory of the encapsulated psychosis offers an important but incomplete perspective in explaining borderline and narcissistic pathology, as well as psychological trauma. In this response to Hopper, I suggest that the fourth assumption is in fact a still more primitive state of boundary opening and closing. I also see a need to differentiate trauma as such from borderline pathology, and further hold that the relationship between Hopper's British Independent theory and trauma theories based on dissociation needs to be clarified.     

Joint action and group action made precise

The paper argues that there are two main kinds of joint action, direct joint bringing about (or performing) something (expressed in terms of a DO-operator) and jointly seeing to it that something is the case (expressed in terms of a Stit-operator). The former kind of joint action contains conjunctive, disjunctive and sequential action and its central subkinds. While joint seeing to it that something is the case is argued to be necessarily intentional, direct joint performance can also be nonintentional. Actions performed by social groups are analyzed in terms of the notions of joint action (basically DO and Stit).A precise semantical analysis of the aforementioned kinds of joint action is given in terms of time-trees. With each participant a tree is connected, and the trees are joined defining joint possible worlds in terms of state-expressing nodes from the trees. Sentences containing DO and Stit are semantically evaluated with respect to such joint possible worlds. Intentional joint actions are characterized in terms of the notion of we-intention (joint intention), characterized formally by means of a special operator.     

The Client Is the Most Important Common Factor: Clients' Self-Healing Capacities and Psychotherapy

I first briefly review the dodo bird verdict and suggest that we should be responding to it by looking for a new way to conceptualize how therapy works. Then I describe the dominant medical or treatment model of psychotherapy and how it puts the client in the position of a dependent variable who is operated on by supposedly potent therapeutic techniques. Next I argue that the data do not fit with this model. An alternative model is that the client is the most important common factor and that it is clients' self-healing capacities which make therapy work. I then argue that therapy has two phases—the involvement phase and the learning phase—and that the involvement phase is the most important. I next review the five learning opportunities provided by therapy. Finally, I argue that a relational model of therapy focused on consultation, collaboration, and dialogue is better than a treatment model.     

On Ultrafilter Logic and Special Functions

Logics for generally were introduced for handling assertions with vague notions,such as generally, most, several, etc., by generalized quantifiers, ultrafilter logic being an interesting case. Here, we show that ultrafilter logic can be faithfully embedded into a first-order theory of certain functions, called coherent. We also use generic functions (akin to Skolem functions) to enable elimination of the generalized quantifier. These devices permit using methods for classical first-order logic to reason about consequence in ultrafilter logic.Presented by André Fuhrmann     

Naive realism about operators

A source of much difficulty and confusion in the interpretation of quantum mechanics is a naive realism about operators. By this we refer to various ways of taking too seriously the notion of operator-as-observable, and in particular to the all too casual talk about measuring operators that occurs when the subject is quantum mechanics. Without a specification of what should be meant by measuring a quantum observable, such an expression can have no clear meaning. A definite specification is provided by Bohmian mechanics, a theory that emerges from Schrödinger's equation for a system of particles when we merely insist that particles means particles. Bohmian mechanics clarifies the status and the role of operators as observables in quantum mechanics by providing the operational details absent from standard quantum mechanics. It thereby allows us to readily dismiss all the radical claims traditionally enveloping the transition from the classical to the quantum realm — for example, that we must abandon classical logic or classical probability. The moral is rather simple: Beware naive realism, especially about operators!     

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.     

Relentless writing and the death of memory in elementary education

This paper explores the relentless character of writing in elementary education. We begin with the reflections of a Grade Three teacher on incidents in her classroom regarding writing and the leaving of traces, followed with a consideration of the deep cultural investment we have in leaving such traces. A brief examination of the latest work by Lucy Calkins is followed by a discussion of the paradoxical relations between writing, remembering and forgetting and the forging of community as an order of memories. The issue of writing as the rendering of experience into cultural capital is followed by concluding remarks on the pleasures of walking around unwritten.     

Axioms for Deliberative Stit

Based on a notion of companions to stit formulas applied in other papers dealing with astit logics, we introduce choice formulas and nested choice formulas to prove the completeness theorems for dstit logics in a language with the dstit operator as the only non-truth-functional operator. The main logic discussed in this paper is the basic logic of dstit with multiple agents, other logics discussed include the basic logic of dstit with a single agent and some logics of dstit with multiple agents each of which corresponds to a semantic condition concerning the number of possible choices for agents.     

Self-Constitution in the Ethics of Plato and Kant

Plato and Kant advance a constitutional model of the soul, in which reason and appetite or passion have different structural and functional roles in the generation of motivation, as opposed to the familiar Combat Model in which they are portrayed as independent sources of motivation struggling for control. In terms of the constitutional model we may explain what makes an action different from an event. What makes an action attributable to a person, and therefore what makes it an action, is that it issues from the person's constitution, and therefore from the person as a whole, rather than from some force working on or in the person. This in turn implies an account of what makes an action good: what makes an action good is that it is deliberated upon and chosen in a way that unifies the person into a constitutional system. Through deliberative action we constitute ourselves as unified agents. Platonic justice and Kant's categorical imperative are shown to be normative standards for action because they are principles of self-constitution.     

The Self Psychology of Heinz Kohut: What's It All About Theologically?

As a psychoanalytic thinker who offered by means of his self psychology a new paradigm of psychological development and functioning, Heinz Kohut was also a theologian manqué. With the help of the method of interpretation devised by Paul Tillich and David Tracy, Kohut's limit-concepts of tragic man, the self-object, and empathy, all set within his theory of narcissism, are elucidated as theological constructs. These are critiqued for adequacy from a Christian perspective. The conclusion is that Kohut's understanding of the human dilemma and of the way of salvation correlates well with Christianity, while his view of empathy as the means of salvation has created some confusion. Kohut has thus left an unfinished, profoundly important, agenda for theologians and clinicians.     

Fallacies and moral dilemmas

The continuing debate between utilitarians and deontologists often takes the form of disagreement over how particular moral dilemmas are to be resolved, but protagonists on both sides tend to overlook the possibility of resolving a dilemma with remainder, such as regret. The importance of remainder is also overlooked by critics of some absolutist ways of resolving or slipping between the horns of certain moral dilemmas. Moreover, deontologists, if not utilitarians, can be criticised for overlooking the possibility that, according to their theory, some dilemmas may be irresolvable. Virtue ethics, with its concentration on the agent, readily accommodates both mention of remainder and irresolvable dilemmas, and yields a specification of tragic dilemmas which the other two theories might like to take on.     

The numbers game: Gender and attention to numerical information

Research suggests that males outperform females on standardized tests of math ability from early adolescence onward. Several explanations for this difference focus on the different experiences of females and males with numerical information. We reasoned that males have more experience with numerical information than females because typical male interests (e.g., sports) are more likely to involve numerical information than typical female interests (e.g., physical appearance). Thus, we predicted that males would attend more to numerical information than would females, at least when the information was presented in a male-related or gender-neutral context. Females were expected to attend more than males when the context was female-related. Results using White/Caucasian subjects provided some support for these predictions. Implications for future research on the relationship between the gender-linkage of math materials and gender differences in math performance are discussed.     

Care and the dynamics of social world

The concept of social world is formulated for the purpose of deepening our understanding of the dynamics of inclusion, exclusion, and care in interpersonal interaction. World is defined as an irreducible subject-object polarity.Social world is the extremely fragile environment within which people meet, and is easily destroyed. With special attention to family and church life, the conditions for maintaining or losing this environment are examined. Three levels of social world are defined. On the highest level, mutual care, rather than shared opinion, is seen as the factor that facilitates the preservation of social world in the face of world-threatening issues.     

Intellectual fascism

Intellectual fascism is the arbitrary belief that individuals possessing certain good traits (such as intelligence and creativity) are intrinsically superior to those possessing bad traits (such as stupidity or lack of artistry). Although it is true that under certain conditions and for various purposes some human traits are more advantageous or better than others, rating people as good or bad on the basis of their intellectual performances is inaccurate and is often as pernicious as is political-social fascism. Moreover, where political fascists at least rate themselves highly while damning and persecuting others, intellectual fascists tend to severely damn themselves (as well as others) when they lack superlative intellectual and artistic traits. According to RET, all global ratings of people tend to be fascistic overgeneralizations. Intellectual fascism is political-social fascism with the trait names changed—the same hearse with different license plates.This article is a revision of one that originally appeared in a book by Dr. Ellis entitledSuppressed.     

Structuring argumentation in a social constructivist framework: A pedagogy with computer support

What we usually think of as higher order skills in argumentation can be profitably viewed as systematic structures for organizing and representing information. Standard terms like line of argument, synthesis, analysis and draft can be viewed as ways of constructing, storing, and accessing data in a social context — data structures for social communication. What makes argument difficult are the multiple structures that arguers have to construct and negotiate when reading and composing. In this paper, we describe the WARRANT project, a project designed to identify data structures of written argument and to design and implement computer tools to aid in the reading and design of argument.     

Reflections on “difficult” embeddings

The main purpose of this note is to present difficult embeddings of minimal and full intuitionistic logic into classical linear logic, and to prove their soundness and faithfulness. Moreover, it is also pointed out that Girard's translation of intuitionistic logic into classical linear logic is provably equivalent to one of the translations considered in this paper.     

Foundations of a new system of probability theory

The aim of my book is to explain the content of the different notions of probability.Based on a concept of logical probability, which is modified as compared with Carnap, we succeed by means of the mathematical results of de Finetti in defining the concept of statistical probability.The starting point is the fundamental concept that certain phenomena are of the same kind, that certain occurrences can be repeated, that certain experiments are identical. We introduce for this idea the notion: concept K of similarity. From concept K of similarity we derive logically some probability-theoretic conclusions:If the events E() are similar —of the same kind - on the basis of such a concept K, it holds good that intersections of n of these events are equiprobable on the basis of K; in formulae: E(₁)...E( _{n K} E('₁)...E(' _n , _{i j} ,' _j ' _j for ij On the basis of some further axioms a partial comparative probability structure results from K, which forms the starting point of our further investigations and which we call logical probability on the basis of K.We investigate a metrisation of this partial comparative structure, i.e. normed -additive functions m _K, which are compatible with this structure; we call these functions m _K measure-functions in relation to K.The measure-functions may be interpreted as subjective probabilities of individuals, who accept the concept K.Now it holds good: For each measure-function there exists with measure one the limit of relative frequencies in a sequence of the E().In such an event, where all measure-functions coincide, we speak of a quantitative logical probability, which is the common measure of this event. In formulae we have: l _K (h _n lim h _n )=1 in words: There is the quantitative logical probability one that the limit of the relative frequencies exists. Another way of saying this is that the event ^* (h_n lim h _n) is a maximal element in the comparative structure resulting from K.Therefore we are entitled to introduce this limit and call it statistical probability P.With the aid of the measure-functions it is possible to calculate the velocity of this convergence. The analog of the Bernoulli inequation holds true: m _K (¦h _n –P¦)1–1/4n².It is further possible in the work to obtain relationships for the concept of statistical independence which are expressed in terms of the comparative probability.The theory has a special significance for quantum mechanics: The similarity of the phenomena in the domain of quantum mechanics explains the statistical behaviour of the phenomena.The usual mathematical statistics are explained in my book. But it seems more expedient on the basis of this new theory to use besides the notion of statistical probability also the notion of logical probability; the notion of subjective probability has only a heuristic function in my system.The following dualism is to be noted: The statistical behaviour of similar phenomena may be described on the one hand according to the model of the classical probability theory by means of a figure called statistical probability, on the other hand we may express all formulae by means of a function, called statistical probability function. This function is defined as the limit of the relative frequencies depending on the respective state of the universe. The statistical probability function is the primary notion, the notion of statistical probability is derived from it; it is defined as the value of the statistical probability function for the true unknown state of the universe.As far as the Hume problem, the problem of inductive inference, is concerned, the book seems to give an example of how to solve it.The developed notions such as concept, measure-function, logical probability, etc. seem to be important beyond the concept of similarity.The present work represents a summary of my book Grundzüge zu einem neuen Aufbau der Wahrscheinlich-keitstheorie [5], For this reason, I have frequently dispensed with providing proof and in this connection refer the interested reader to my book.     

Interpretations of the first-order theory of diagonalizable algebras in peano arithmetic

For every sequence |p _n } _n of formulas of Peano ArithmeticPA with, every formulaA of the first-order theory diagonalizable algebras, we associate a formula ⁰ A, called the value ofA inPA with respect to the interpretation. We show that, ifA is true in every diagonalizable algebra, then, for every, ⁰ A is a theorem ofPA.     

Modal Logics of Succession for 2-Dimensional Integral Spacetime

We consider the problem of axiomatizing various natural successor logics for 2-dimensional integral spacetime. We provide axiomatizations in monomodal and multimodal languages, and prove completeness theorems. We also establish that the irreflexive successor logic in the standard modal language (i.e. the language containing and ) is not finitely axiomatizable.     

Expletives and woman's place

This study empirically examined the relationship between the expletives, bitch and bastard, and sex-role stereotyping. The expletives were rated by 68 men and 68 women on 80 trait adjectives as to how typical or characteristic each trait was of the stereotypic bitch or bastard in our society. The sex-role implications of the 10 trait terms judged most characteristic of each expletive were then examined. For male subjects, the most distinguishing feature between the two expletives was the inclusion of the stereotypically masculine trait dominant, in their characterization of bitch. Female subjects, on the other hand, did not ascribe such opposite sex-role stereotype traits to bitch, but rather emphasized stereotypically masculine traits in their characterization of bastard. These results are discussed in terms of the regulatory and expressive nature of language, as well as the differential sanction value of the terms bitch and bastard for out-of-role behavior.