John Nash: The Sufferings of Those Who Loved Him

This article, as a sequel to three previous papers on John Nash by Capps (2003, 2004a, & 2004b), focuses on the other side of Nashs beautiful mind by examining the sufferings of those who loved him. Nashs mistress and wife, appear to have suffered the most by Nashs narcissistic and paranoid schizophrenic tendencies due to his noncommittal and disrespectful attitudes. Nashs exploitive and experiential ways of relating to his close male friends (special friendships) seemed to have caused much pain and agony in at least two of his special friends. In addition, Nashs two sons also suffered from his lack of affection and responsibility. Thus it is crucial for people in mental health professionals as well as in pastoral care and counseling not only to care for the mentally ill but also for those who are around him or her.     

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.     

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 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.     

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.     

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.     

Feminism versus minority group identity: Not for black woman only

An analytical review of the literature revealed four basic hypotheses that have been adopted by researchers investigating Black women and their relationships. The hypotheses have been identified by the author as follows: The weakening hypothesis, the double whammy hypothesis, the Black matriarchy hypothesis, and the Black racism hypothesis. In addition, a discussion of the implication that the hypotheses have for Black and White researchers was given. Finally, suggestions for new approaches and directions that future research should take were included.     

The elegant solution to the problem of impotence

Although most therapists are committed to debunking the dual myths that sex requires an erection and that sex equals intercourse, sex researchers continue to use successful intercourse as a primary dependent variable. It is here asserted that RET therapists would do well to approach the problem of erectile dysfunction from a more elegant philosophical perspective. The treatment approach outlined here is aimed at reducing client disturbance as well as increasing sexual satisfaction rather than at simply helping the client to regain his potency.     

Many stimuli are frightening,but some are more frightening than others: The contributions of preparedness,dangerousness, and unpredictability to making a stimulus fearful

The nonrandom distribution of situational fears has been explained by evolutionary survival relevance of specific fears. Thirty-eight stimuli were taken from the literature on preparedness and were scored on fearfulness, objective dangerousness, and spatiotemporal unpredictability by three separate groups of students. The same items were scored on survival relevance by 15 biologists. Fearfulness of cues significantly correlated not only with survival relevance but also, and even more strongly, with dangerousness and unpredictability. While the fear/survival relevance association virtually disappeared when the unpredictability contribution was partialed out, the fear/unpredictability correlation was only marginally affected when controlling for survival relevance. This suggests that nonrandomness of feared stimuli may result from the spatiotemporal unpredictability that is attributed to these stimuli. The current practice of using snakes and spiders as phobia-relevant, and flowers and mushrooms as neutral, cues was not justified by the ratings of the 15 independent experts.This study was supported in part by a grant from the Dutch Organization for Fundamental Research (ZWO/Psychon, 560-268-001).     

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).     

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).     

Definitions of Gender and Sex: The Subtleties of Meaning

Definitions of the word gender were collected from 137 participants, who also completed questionnaires designed to determine aspects of the usage of the words gender and sex. The majority of participants were European American (86.9%), followed by Latino/a (3.6%), Asian/Asian American (2.9%), African American (2.2%), Native American (1.5%), and West Indian (1.5%). Most participants (70.9%) had attended at least some college and occupations included students (43%), professionals (27.8%), health care workers (4.3%), technical workers (5%), sales and service workers (9.4%), maintenance workers (1.4%), and business owners (1.4%). Data were examined to see which common themes emerged from the free form define gender question, the amount of interchangeability of sex and gender in a sentence completion task, and the varieties of beliefs about the relation between the terms gender and sex. Results indicate a variety of understandings and beliefs about gender that range from the common response that gender is the same as sex to some less common responses that associate gender with females or discrimination. Implications of the ambiguous meaning of gender are discussed with an emphasis on the responsibility of researchers to clarify their own understanding of the terms when they discuss gender or sex in their research and publications.     

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.     

Anton Boisen revisited

Anton Boisen was both a psychologist of religion and a schizophrenic. His autobiography presents his case history but leaves many of his psychotic communications and experiences uninterpreted. This essay attempts to account for Boisen's most idiosyncratic psychotic products, drawing on theories of Jung and Bateson. Boisen and Jung both used experiences deriving from psychotic episodes to shape their subsequent life work. Boisen remained within liberal Protestantism, relinquishing his own crazy critique of Christianity developed during his mental illness. This critique is expressed through Boisen's notion of the Family of Four, a plan for world renewal that he himself never adequately interpreted.     

“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.     

Egalitarian sex role attitudes: Scale development and comparison of American and Japanese women

The English Form of the Scale of Egalitarian Sex Role Attitudes was administered to 238 American women after the original Japanese Form was developed and administered to 420 Japanese women. The results reveal that the English Form has a potential for use as a measurement of American women's sex role attitudes. The results of cross-cultural comparisons suggest that American women have more egalitarian attitudes than their Japanese counterparts. However, they have basically similar attitudes toward more general egalitarian values. Among the four roles of woman, wife, mother, and person, the majority of the American women choose person as the most important role, whereas the Japanese women do not claim any clear dominant role. But the results show that the Japanese women's attitudes toward women's roles have become more egalitarian and individualistic during the past two decades.This research was partly supported by a grant from the Dentsu Corporation's Yoshida Hideo Memorial Foundation. The author wishes to thank Roger Brown, Cynthia Chataway, Matina Horner, Ellen Langer, and Annemette Sorensen, Yoshiyasu Uno, and the reviewers for their critical and helpful comments on an earlier version of this article. The statistical help by Ellen Herbener and Valerie Leiter are gratefully acknowledged.     

First-order fuzzy logic

This paper is an attempt to develop the many-valued first-order fuzzy logic. The set of its truth, values is supposed to be either a finite chain or the interval 0, 1 of reals. These are special cases of a residuated lattice L, , , , , 1, 0. It has been previously proved that the fuzzy propositional logic based on the same sets of truth values is semantically complete. In this paper the syntax and semantics of the first-order fuzzy logic is developed. Except for the basic connectives and quantifiers, its language may contain also additional n-ary connectives and quantifiers. Many propositions analogous to those in the classical logic are proved. The notion of the fuzzy theory in the first-order fuzzy logic is introduced and its canonical model is constructed. Finally, the extensions of Gödel's completeness theorems are proved which confirm that the first-order fuzzy logic is also semantically complete.     

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.     

The liar: What paradox?

Most philosophers believe that the Liar Paradox is semantical in character, and arises from difficulties in the predicate true. The author argues that the paradox is pragmatic, not semantic, and arises from violations of essential conditions that define statement-making speech acts. The author shows that his solution to the paradox will not only handle the classical Liar sentences that are necessarily or intrinsically paradoxical, but also sets of Kripke-sentences that are contingently paradoxical.