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.     

Strategically Speaking: The Problem of Essentializing Terms in Feminist Theory and Feminist Organizational Talk

This paper examines the discursive construction of collective identity in several feminist organizations, as a way of shedding new light on the debate over essentializing or totalizing terms in contemporary feminist/postmodernist theory. We argue that while this debate is about language, it has remained largely untouched by the insights of a discursive approach. The latter as we take it up here treats language as irremediably strategic or interested. In contrast, the feminist argument over essentializing terms appears to hold to a correspondence version of language, a position which limits the debate in fatal ways. Part 1 reviews the argument that terms such as women, feminist and feminist identity are essentializing discourses which dominate by silencing difference. Part 2 then considers the way one such concept – feminist identity – is actually constructed and used in the routine talk of members of feminist organizations. In Part 3 we draw out the implications of a discursive approach to such terms for the feminist/postmodernist debate.     

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.     

On the logic of conscious belief

In this paper we are discussing a version of propositional belief logic, denoted by LB, in which so-called axioms of introspection (B BB and B B B) are added to the usual ones. LB is proved to be sound and complete with respect to Boolean algebras equipped with proper filters (Theorem 5). Interpretations in classical theories (Theorem 4) are also considered. A few modifications of LB are further dealt with, one of which turns out to be S5.     

Finitude and Hume’s Principle

The paper formulates and proves a strengthening of Freges Theorem, which states that axioms for second-order arithmetic are derivable in second-order logic from Humes Principle, which itself says that the number of Fs is the same as the number ofGs just in case the Fs and Gs are equinumerous. The improvement consists in restricting this claim to finite concepts, so that nothing is claimed about the circumstances under which infinite concepts have the same number. Finite Humes Principle also suffices for the derivation of axioms for arithmetic and, indeed, is equivalent to a version of them, in the presence of Freges definitions of the primitive expressions of the language of arithmetic. The philosophical significance of this result is also discussed.     

Free construction of time from events

Conclusions and conjectures Some may be of the opinion that one event can begin before another only by virtue of the existence of some event (a witness) which wholly precedes the other and does not wholly precede the one (and similarly for ends before and does not abut). Those would prefer ₀ to as a model for observers' apprehensions of events. Since G is a functor from to ₀, the current construction (restricted to ₀) remains applicable.This work supports a claim that the psychologically fundamental temporal relationships are wholly precedes, begins before, ends before and abuts. But only in a very weak sense. Any other set of relationships which is interdefinable with this one, using only quantifier-free formulas in the definitions, could be used to define a category which is indistinguishable from (because the same functions preserve and reflect the new relationships). This work equally supports the claim that those relationships are the psychologically fundamental ones, or the claim that it is just wholly precedes which is fundamental, and that we perceive begins before just by virtue of witnesses. But it refutes the claim that only wholly precedes is fundamental, and that we understand begins before only because we understand time as a linear ordering.     

“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.     

Phonological encoding and word comprehension

Summary A semantic categorization task was carried out on single words in order to determine under what circumstances a phonological code might be implicated in the process of getting from print to meaning. The subjects were asked whether or not a target word presented visually was a member of a superordinate category or sounded like a member of a category (e.g., PAIR; FRUIT). The target words were drawn from two groups, orthographically regular words (complying with grapheme-phoneme correspondences in English) and orthographically irregular words (exceptions to grapheme-phoneme correspondences).The results indicated that a phonological code may only be a necessary requirement for word comprehension in a task demanding phonological assessment (i.e., in the case of PAIR in the sounds like task). Furthermore, it was argued that some phonological effects, arising in single word comprehension, may be attributed to prelexical phonology while others may implicate postlexical phonology.     

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.     

Computer content analysis of sex differences in the language of children

This study presents empirical procedures for the collection and content analysis of the oral language of kindergarten children. The analysis technique used material and machines available to most researchers. The results of the analysis of language samples of 144 randomly selected children from the entire kindergarten class of the Ithaca, New York, school system showed that boys produced significantly more language than did the girls as well as significantly more references to aggression, self, time, space, quantity, fears, good, act of oral communication, negation, and affirmation, and asked more questions of the examiner than did the girls. The girls made significantly more female references than did the boys. Implications for future research are discussed.     

The elimination of de re formulas

It is shown that de re formulas are eliminable in the modal logic S5 extended with the axiom scheme x x.     

Social epistemology as a rhetoric of inquiry

Fuller's program of social epistemology engages a rhetoric of inquiry that can be usefully compared and contrasted with other discursive theories of knowledge, such as that of Richard Rorty. Resisting the model of conversation, Fuller strikes an activist posture and lays the groundwork for normative knowledge policy, in which persuasion and credibility play key roles. The image of investigation is one that overtly rejects the storehouse conception of knowledge and invokes the metaphors of distributive economics. Productive questions arise as to how notions of creation and distribution might guide this rhetoric.     

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.     

Three post-Vietnam “rap/therapy” groups: An analysis

An analysis is presented of the content and process over a one year's period of time of 81 sessions with three therapy groups of help-seeking Vietnam theater veterans. Data were collected concerning the frequency and content of the symptoms and issues that were discussed, the frequency and relationship of the discussion of current life issues versus Vietnam and pre- and post-Vietnam life issues, the predominant therapeutic themes that emerged in the groups, and the kinds of therapy interventions provided. Implications are discussed regarding the DSM-III inclusionary symptom criteria for post-traumatic stress disorder, and the structure and format to facilitate a combined rap and therapy group process with Vietnam veterans.The opinions of the authors do not reflect official Veterans Administration policy and should not be so construed.     

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).     

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.     

“Girl,” “woman,” “guy,” “man”: The effects of sexist labeling

An experiment was conducted to investigate the effects of sexist labeling. Sixty males and 60 females were asked to evaluate an artist and a series of paintings on a variety of cognitive and affective measures. For half the subjects, the artist was identified as a male with either a high status label (man), a low status label (guy), or a neutral label (person); for the other half of the subjects, the artist was identified as a female with either a high status label (woman), a low status label (girl), or a neutral label (person). The findings indicated that for the female artist, the low and high status labels had an equally negative effect on subjects' judgments; for the male artist, the low and high status labels had an equally positive effect on subjects' judgments. There were no significant differences between male and female subjects. The social and psychological implications of the findings are discussed.The present study is based in part on a paper presented at the meetings of the Western Psychological Association held in San Diego, California, April 1979, in collaboration with Ms. Julie Horowitz.     

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).