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.     

Fragmentation and re-integration of experience

Secular and religious counselors require a model of psychotherapy that conceptualizes human beings as conscious, goal-seeking entities. Such a model, based on the construct being in one's own world, is sketched in broad outline in this essay. The building blocks for the model are the intentional modes that lie at the heart of the self-world dialectic in which we live our lives. It is demonstrated how these intentional modes are organized into a gestalt-like whole referred to as the existential gestalt. From the diagram of the existential gestalt the concepts of intentional clarity and modal congruence are derived. These concepts enable us to understand the processes of the fragmentation and re-integration of experience that lie at the heart of psychotherapy. Inclusiveness and purposefulness, two additional factors that are important for assessing the adequacy of the existential gestalt, are also briefly touched upon.     

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.     

“Emotionally, Soulfully, Spiritually ‘Free to Think and Act’: The Helen Flanders Dunbar (1902–59) Memorial Lecture on Psychosomatic Medicine and Pastoral Care”

This essay aims to stimulate rethinking about religious and medical healing and wholeness. While psychiatrist (Helen) Flanders Dunbar (1902–1959) is well known as a psychosomatic investigator and as Medical Director of the Council for Clinical Training, the initial home of Anton Boisen's groundbreaking movement for the clinical pastoral education of institutional chaplains and parish ministers, she is less appreciated as a theologically-trained scholar. This essay explores an earlier era's understanding of the spiritual and the more soulful components of healing and how Dunbar combined these to focus on helping all peoples become free to think and act. This essay was originally delivered as The Helen Flanders Dunbar Memorial Lecture on Psychosomatic Medicine and Pastoral Care at Columbia Presbyterian Center of the New York-Presbyterian Hospital, New York on November 2, 1999.     

“Anchor-range” results with “same” and “different” responses and similar and dissimilar stimuli

Summary Blocks of pairs of dissimilar (anchor-like) circles were unexpectedly followed by single pairs of similar circles and vice versa. The dissimilar circles were 3 and 10 mm in diameter, and the similar circles were 3 and 5 mm, 5 and 7 mm, and 7 and 10 mm in diameter. In a second experiment, the dissimilar and similar circles did not overlap in size (e.g., they were 1.5 and 5 mm and 7 and 10 mm, respectively). The same responses to the unexpected same pairs of similar circles were faster than the same responses to the identical pairs in the blocks. In contrast, the different responses to the unexpected different pairs of similar circles were slower than the different responses to the identical pairs in the blocks. Similar stimuli accelerate same responses and slow down different responses. So the time results (and the error results as well) suggest that the context of the block dissimilar circles increased the perceived similarity of the unexpected similar circles. These anchor-range results are not explained by Thurstonian theories, which are based on the absolute properties of stimuli. Instead, they imply that the relation between the similar circles in the context of the relation between the dissimilar circles affected performance.     

Groups to Resolve Conflicts Between Groups: Diplomacy with a Therapeutic Dimension

The group self, an individual's self-perception as a member of a group, is distinguished from the group's self, a personification of the group as a person with a self. The perceived group's self of an opposing other group is often a repository for attributes group members are not ready to recognize in their own group's self. Theoretically, the need for an adversarial other to hold one's own group's unwanted attributes—and thus to complete one's own group's self—contributes, however unconsciously, to the apparent intractability of intergroup disputes. In dealing with these issues, I compare intergroup conflict resolution (ICR) groups with therapy groups, on the one hand, and advocacy groups on the other. All of this sets the stage for a presentation of two ICR projects and their analysis in group-developmental terms.     

Some modifications of Scott's theorem on injective spaces

D. Scott in his paper [5] on the mathematical models for the Church-Curry -calculus proved the following theorem.A topological space X. is an absolute extensor for the category of all topological spaces iff a contraction of X. is a topological space of Scott's open sets in a continuous lattice.In this paper we prove a generalization of this theorem for the category of , -closure spaces. The main theorem says that, for some cardinal numbers , , absolute extensors for the category of , -closure spaces are exactly , -closure spaces of , -filters in , >-semidistributive lattices (Theorem 3.5).If = and = we obtain Scott's Theorem (Corollary 2.1). If = 0 and = we obtain a characterization of closure spaces of filters in a complete Heyting lattice (Corollary 3.4). If = 0 and = we obtain a characterization of closure space of all principial filters in a completely distributive complete lattice (Corollary 3.3).     

Spirituality in Older Adults: A Cross-Cultural and Interfaith Perspective

The definition of spirituality poses a variety of problems for the development of theory and research, as well as practical problems for persons interested in promoting the spiritual well-being of older adults. Although any definition of spirituality is problematic, a definition is proposed that comes out of the writer's clinical experience and is relevant to his understanding of the aging process in different cultural and religious contexts. Two case studies are presented to illustrate the relevance of the definition to the experience of older persons from different cultural and religious backgrounds. Reflections on the case studies suggest ways that an appropriately trained advocate might have helped the persons in these illustrations make changes in their situations that might have improved the quality of their lives. Material from the case studies is also used to clarify differences among terms such as spirituality, religion, religiosity, and piety. The paper proposes to be a contribution to a theoretical foundation for studying and working with spirituality in older adults.     

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.     

The drive for meaning in William James' analysis of religious experience

Summary Now that we have looked at the characteristics of mystical experience, we are ready to discuss the assumption made in this paper that mystical experience can be translated into an understanding of integration or the drive for meaning which Fingarette pursues in a much more analytic fashion. Reviewing the conversion process as an integration process we have seen that for the sick-souled, beset with the meaninglessness or melancholy which paralyzes his will, his own awareness of wrong in his situation prevents him from opening up to larger views of reality. But, as James has described, at the same time as the subject is attending so strongly to his own sense of worthlessness, all the while the forces of mere organic ripening within him are going on towards their own prefigured result, and his conscious strainings are letting loose subconscious allies behind the scenes, which in their way work toward rearrangements. Yet the rearrangements can only come about by obeying the command of Chaung-Tse: Cease striving. The result is self-transformation in reconciling, unifying states. There is achieved a supersensuous meaning to the ordinary outward data of consciousness; facts already objectively before us fall into a new expressiveness and make a new connection with our active life.However, James cautions us to realize that the same incursions of the subconscious which produce such reconciling, unifying states can also produce pathological states, a diabolical mysticism, a sort of religious mysticism turned upside down. In such a state the meanings of events become dreadful and the ruling emotion is pessimism. To this possibility James applied the pragmatic test, By their fruits..., and concluded that the mystical experience which brings optimism to the individual is a genuine experience and one which brings truth. In our context then, we would say that real integration brings the subject away from the melancholy and meaninglessness he felt into the genuinely insightful resolution of which Fingarette speaks.Conversion, then, is a process in James's analysis of religious experience analogous to the process of integration and meaning-discovery while mysticism is analogous to the state in which integration or meaning-discovery is achieved. Conversion is climaxed by self-surrender; mysticism is characterized by new determination, self-transformation: two ways of describing an indivisible event. Furthermore, the four characteristics James applies to mysticism are indeed characteristic of the experience of integration.Two other points should be added here which are much in line with James's treatment of experience. In the first place, one of the basic principles of radical empiricism is that not only objects but relations between objects are the subject of experience. Such an experience of relationships, of wholeness, is exactly what characterizes integration. At the same time, the five senses are suspended, and the insight is experienced with such a strong immediacy that it is almost sensed. James refers to this quality of mystical states: The records show that even though the five senses be in abeyance in them, they are absolutely sensational in their epistemological quality, if I may be pardoned the barbarous expression, - that is, they are face to face presentations of what seems immediately to exist.I am not saying that every integration is a mystical experience. Rather I have been saying that James's discussion of religious experiences such as healthy-minded, sick-souled, melancholy, conversion, and mysticism provide analogues for better understanding the phenomenological processes and characteristics of the drive for meaning and integration which Fingarette analyzes. In fact, the very notion of religion itself for James bears not just an analogous resemblance but perhaps an identification with integration. For in his personal letters James had defined religious experience as Any moment of life that brings the reality of spiritual things more home to one. And in Varieties James defines religion as a man's total reaction upon life....; his attitude towards what he felt to be the primal truth.If we look upon this outlook of James toward religion as an exaggeration of the reality of integration, we can follow James to what he perceives as the importance of religion upon an individual's life. The man of religious feeling possesses the excitement of a higher kind of emotion, an enthusiastic temper of espousal in regions where morality strictly so called can at best but bow its head and acquiesce. So we are brought again to the area of creativity in which an individual has experienced the widening of the area of his immediate experience and is re-born in the karmic pattern, a valid pattern for both James and Fingarette. As Fingarette describes it, the converted individual creates values which the dead reality he had previously faced did not possess. The result of the achieved integration is explained by James when referring to religious experience as an excitement of the cheerful, expansive, dynamogenic order which, like any tonic, freshens our vital powers. This emotion overcomes temperamental melancholy [meaninglessness] and imparts endurances to the subject, or a zest, or a meaning, or an enchantment and glory to the common objects of life.We might sum up this discussion not by a criticism of the shortcomings of James's treatment of the religious life, such as his apparent insensitivity to the part played by institutions in the religious experience itself, but rather by underscoring the richness of the phenomenological analysis James has undertaken. James Edie acknowledges that James's studies of religious experience itself rather than of religion. ... are not only more sound phenomenologically than some of the studies which have, under the influence of Husserl, up to now explicitly invoked the phenomenological method, but they are also the first to establish any solid basis for a true phenomenology of religious experience.And John Wild has pointed out the parallel between James's concept of melancholy and Heidegger's concept of anxiety as the genesis of the process of becoming: beginning with the prospect of death and nothingness, the individual gropes toward new birth.As we have seen, then, James's analysis of the varieties of religious experience leads to a fruitful discussion of the psychological processes involved in melancholy and meaninglessness, rearrangement and integration. In all such experiences, a sense of inner unity is reached to which the following words of Fingarette would apply by analogy: The soul-racking death which leads to blissful rebirth is the death of the subjectively experienced, anxiety-generated self perception; it is the emergence into the freedom of introspective self-forgetfulness of the psychically unified self.     

Distance and fusion in Robinson Jeffers' “the purse-seine” and other poems

Distance and fusion are fundamental ideas in Bowenian thinking, especially as expressed in the dynamic of distancing and pursuing. In this paper I have used these ideas as a means to briefly examine a short selection of Robinson Jeffers' poetry, which provides us with a literary example of these concepts in action.My thanks to M. K. Lane and the anonymous reviewers of an earlier draft of this article for their many suggestions, especially to the reviewer who helped me better distinguish between distance and fusion, and intimacy and autonomy.     

Richard Zaner’s Phenomenology of the Clinical Encounter

The clinical ethics propounded by Richard Zaner is unique. Partly because of his phenomenological orientation and partly because of his own daily practice as a clinical ethicist in a large university hospital, Zaner focuses on the particular concrete situations in which patients and their families confront illness and injury and struggle toward workable ways for dealing with them. He locates ethical reality in the clinical encounter. This encounter encompasses not only patient and physician but also the patients family and friends and indeed the entire lifeworld in which the patient is still striving to live. In order to illuminate the central moral constituents of such human predicaments, Zaner discusses the often-overlooked features of disruption and crisis, the changed self, the patients dependence and the physicians power, the violation of personal boundaries and their necessary reconfiguring, and the art of listening.     

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.     

Chris: The “crazy” kid as a family hero

A case is discussed of an eleven-year-old schizophrenic male who had made a conscious decision several years earlier to act crazy to keep his parents from fighting and divorcing. A relabeling of his crazy behavior as that of a family hero was a first step in releasing him from marital difficulties and beginning to return him to a normal life.     

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.     

How to frame the free will problem

Conclusion The exchange is almost complete. I have argued that if we wish to view the free will problem in a non-question-begging way, we should frame the problem in more radical terms than we usually do. If we frame the problem this way, then we discover a compelling reason for rejecting all of the familiar isms in favor of my non-realism thesis. This thesis holds that free choice has a coherent meaning just in case it is treated as a subjective term; thus, if we try to view free choice as denoting classes of entities that themselves possess the characteristic of freeness, it is logically inconsistent. My thesis is supported by a certain metaphilosophical view. I admit that this metaphilosophical view — which tries to locate everything where it belongs — is neither provable nor refutable. But if my argument in this paper is correct, when we assert any of the positions that presuppose the coherence of free will (Hard Determinism, Soft Determinism, Libertarianism, Incompatibilism, Compatibilism), we should add the fact that we have adopted a metaphilosophical view that supports these. Since these metaphilosophies are non-truth-tracking views, our joint declaration of our lower level free will theory and its supporting metaphilosophy will sound Pickwickian (e.g., I believe that Libertarianism is true and I support that view with the metaphilosophical thesis that the most important role of philosophy is not to track truth, but to create an intellectual climate best for improving the human condition.) If I have shown that my opponents are forced to such declarations, I will be satisfied.     

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.     

Proof-Theoretic Modal PA-Completeness I: A System-Sequent Metric

This paper is the first of a series of three articles that present the syntactic proof of the PA-completeness of the modal system G, by introducing suitable proof-theoretic objects, which also have an independent interest. We start from the syntactic PA-completeness of modal system GL-LIN, previously obtained in [7], [8], and so we assume to be working on modal sequents S which are GL-LIN-theorems. If S is not a G-theorem we define here a notion of syntactic metric d(S, G): we calculate a canonical characteristic fomula H of S (char(S)) so that _G H (S) and _GL-LIN H, and the complexity of H gives the distance d(S, G) of S from G. Then, in order to produce the whole completeness proof as an induction on this d(S, G), we introduce the tree-interpretation of a modal sequent Q into PA, that sends the letters of Q into PA-formulas describing the properties of a GL-LIN-proof P of Q: It is also a d(*, G)-metric linked interpretation, since it will be applied to a proof-tree T of H with H = char(S) and ( H) = d(S, G).     

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.     

Religious Parties, Religious Political Identity, and the Cold Shoulder of Liberal Democratic Thought

Elements of the relation between religion and politics are standard themes in political theory: toleration and free exercise rights; the parameters of separation of church and state; arguments for and against constraints imposed on religious discourse by philosophic norms of public reason. But religious parties and partisanship are no part of political theory, despite contemporary interest in value pluralism and in liberal democratic theory's capacity to address multicultural, religious, and ethnic group claims. This essay argues that religious parties are missing elements in discussions of identity politics. They play an important role not just in expressing but also in constructing and mobilizing religious political identity. Political activity linked to parties is a principal way of bringing diffuse, politically unorganized groups, whose leaders are self-appointed and not regularly accountable for the way they represent co-religionists in political life, into the democratic mainstream. With political organization and especially partisanship, the fact of pluralism is made concrete for democratic purposes.