Some notes on the nature of methodological indeterminacy

This paper is an attempt to extend the meaning of the concept of indeterminacy for the human sciences. The authors do this by coining the term methodological indeterminacy and arguing that indeterminacy is better understood when linked to specific methodological techniques. Paradoxically, while specific research techniques demonstrate that the issue of indeterminacy is complex, yielding the possibility of types and degrees, it does not eliminate the problem of translation first raised by Quine. However, the authors go on to argue that, from a research perspective, indeterminacy can and must be approached in such a way that it is possible to reduce cases of it, even though never completely eliminating it in the human sciences.     

‘Outdoing Lewis Carroll’: Judicial Rhetoric and Acceptable Fictions

This paper examines the functions of narrative within legal argumentation. My purposes are these: 1) to repudiate common assumptions that differentiate argumentation and storytelling in the law; 2) to begin to theorize anew how legal argumentation functions; 3) to explore the difficulties of evaluating the law's argumentative narratives; and 4) to trace some of the anxiety that judges themselves reveal about their roles as storytellers. I conclude that narrative is necessary to law's claims to authority, even as it complicates our understandings about how legislative policy decisions produce effects, and even as judges themselves seek to mask its importance.     

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.     

Some problems concerning the logic of grammatical modifiers

This paper consists principally of selections from a much longer work on the semantics of English. It discusses some problems concerning how to represent grammatical modifiers (e.g. slowly in x drives slowly) in a logically perspicuous notation. A proposal of Reichenbach's is given and criticized; then a new theory (apparently discovered independently by myself, Romain Clark, and Richard Montague and Hans Kamp) is given, in which grammatical modifiers are represented by operators added to a first-order predicate calculus. Finally some problems concerning applications of adjectives to that-clauses and gerundive-clauses are discussed.     

Three views of demonstrative reference

Three views of demonstrative reference are examined: contextual, intentional, and quasi-intentional. According to the first, such reference is determined entirely by certain publicly accessible features of the context. According to the second, speaker intentions are criterial in demonstrative reference. And according to the third, both contextual features and intentions come into play in the determination of demonstrative reference. The first two views (both of which enjoy current popularity) are rejected as implausible; the third (originally proposed by Kaplan in Dthat) is argued to be highly plausible.     

Stuffed Cabbage in the Old New School Cafeteria

The purpose of this lecture is to celebrate the memory of Aron Gurwitsch by examining and enlarging the domain of phenomenological clarification of some elements of what Gurwitsch called the logic of reality. Chief among those elements are the nature of the taken-for-grantedness of our existential belief, the difference between presentive and non-presentive indices of reality and the ground for the self-illumination of the world of working.     

Utility theory with inexact preferences and degrees of preference

a–b* c–d is taken to mean that your degree of preference for a over b is less than your degree of preference for c over d. Various properties of the strength-of-preference comparison relation * are examined along with properties of simple preferences defined from *. The investigation recognizes an individual's limited ability to make precise judgments. Several utility theorems relating a–b * c–d to u(a)–u(b) are included.     

Parent–child relationships during the divorce process; from attachment theory and intergenerational perspective

This study examined four possible predictors of parental satisfaction in the first year after divorce: Attachment style, parenting style, perception of own parents parenting, and the ex-spouses assessment of the quality of the parents parenting. Findings among 49 divorced couples showed that the mothers satisfaction was anchored in themselves and their behavior, fathers satisfaction in their perceptions of their mothers and ex-wives. Among mothers, the less dismissing their attachment style and the greater the centrality of the child in their parenting style, the more satisfaction they tended to report. Among fathers, greater satisfaction was predicted by more education, perception of their own mother as less overprotective, and their perception of their ex-wifes approval of the quality of their fathering.     

The ω-rule

We prove that all proofs in -logic (a first order logic with -rule added) in which -rule is used finitely many times can be turned into proofs in which the -rule is used at most one time. Next, we prove that the word finitely above cannot be changed by the word infinitely.     

Fitting the factor analysis model

When the covariance matrix (p×P) does not satisfy the formal factor analysis model for m factors, there will be no factor matrix (p×m) such that =(-) is diagonal. The factor analysis model may then be replaced by a tautology where is regarded as the covariance matrix of a set of residual variates. These residual variates are linear combinations of discarded common factors and unique factors and are correlated. Maximum likelihood, alpha and iterated principal factor analysis are compared in terms of the manner in which is defined, a maximum determinant derivation for alpha factor analysis being given. Weighted least squares solutions using residual variances and common variances as weights are derived for comparison with the maximum likelihood and alpha solutions. It is shown that the covariance matrix defined by maximum likelihood factor analysis is Gramian, provided that all diagonal elements are nonnegative. Other methods can define a which is nonGramian even when all diagonal elements are nonnegative.A modified version of this paper forms part of a Ph.D. thesis submitted to the University of South Africa.Presently at the National Institute for Personnel Research, South Africa.     

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).     

Preschool Children’s Pretend and Physical Play and Sex of Play Partner: Connections to Peer Competence

This study was designed to examine associations between preschool childrens pretend and physical play with same-sex, other-sex, and mixed sex peers and childrens social competence with peers. Sixty predominately middle-class preschoolers (33 boys, 51 European-American) were observed on the playground at their school over a period of 4 months. Childrens same-sex, other-sex, and mixed-sex peer play was observed, and teachers and peers provided assessments of childrens social competence. Analyses revealed that children who engaged in more same-sex pretend play were better liked by peers and were viewed by teachers as being socially competent. In addition, girls who engaged in same-sex exercise play and boys who engaged in same-sex rough-and-tumble play were better liked by peers, whereas boys who engaged in rough-and-tumble play with other-sex peers were less liked by peers. The results suggest that child gender and gender of playmate are important factors in the association between pretend play and rough-and-tumble play and childrens social competence with peers.     

On a problem of P(α, δ, π) concerning generalized Alexandroff s cube

Universality of generalized Alexandroff's cube plays essential role in theory of absolute retracts for the category of , -closure spaces. Alexandroff's cube. is an , -closure space generated by the family of all complete filters. in a lattice of all subsets of a set of power .Condition P(, , ) says that is a closure space of all , -filters in the lattice ( ), .Assuming that P (, , ) holds, in the paper [2], there are given sufficient conditions saying when an , -closure space is an absolute retract for the category of , -closure spaces (see Theorems 2.1 and 3.4 in [2]).It seems that, under assumption that P (, , ) holds, it will be possible to givean uniform characterization of absolute retracts for the category of , -closure-spaces.Except Lemma 3.1 from [1], there is no information when the condition P (, , ) holds or when it does not hold.The main result of this paper says, that there are examples of cardinal numbers, , , such that P (, , ) is not satisfied.Namely it is proved, using elementary properties of Lebesgue measure on the real line, that the condition P (, ₁, 2 ) is not satisfied.Moreover it is shown that fulfillment of the condition is essential assumption in, Theorems 2.1 and 3.4 from [1] i.e. it cannot be eliminated.     

On finite approximability of ψ-intermediate logics

The aim of this note is to show (Theorem 1.6) that in each of the cases: = {, }, or {, , }, or {, , } there are uncountably many -intermediate logics which are not finitely approximable. This result together with the results known in literature allow us to conclude (Theorem 2.2) that for each : either all -intermediate logics are finitely approximate or there are uncountably many of them which lack the property.     

On some structural aspects of physical problems

Bachelard's concept of the problématique is used in order to classify physical problems and their interrelations. This classification is effectuated along two dimensions. Along the horizontal dimension, physical problems are divided into the kinds that the different modes of physics' development define. These modes are themselves determined by the interplay among the conceptual system, the object and the experimentation transactions specific to physics. Along the vertical dimension, physical problems are classified according to the different stages of maturation they have to undergo before the process of their solution is effectively undertaken. To determine these maturation stages, the Althusserian conception of ideology is used. The interrelations between physical problems are examined through the introduction and elaboration of the notion interdependence network.It is a pleasure to thank Marcello Pera and Kostas Gavroglou for their very helpful comments and criticisms.     

The Weight of Context: Headscarves in Holland

This paper explores the potential of a contextual approach to multicultural conflict. It reconstructs two cases that were hotly debated in the Netherlands—Islamic headscarves for police officers and for court officers—and asks whether a contextual approach reaches compromises and thus promotes social stability more easily than a deductive approach. The argument is that a deductive approach accepts standing interpretations of normative principles, whereas a contextual approach reinterprets these principles in the light of the circumstances and that, whether or not it promotes social stability, a contextual approach makes us attend to otherwise neglected perspectives and thus yields greater normative insights.     

Metaphysics and the interpretation of persons: Davidson on thinking and Conceptual Schemes

Certain metaphysical and epistemological presuppositions are shown to play a role in the defense of Davidson's claims that an empirically constructed theory of truth provides an adequate theory of meaning for any natural language. Dadivson puts forward demonstrative arguments in favor of these presuppositions in On the Very Idea of a Conceptual Scheme, Thought and Talk, and The Method of Truth in Metaphysics. These arguments are examined and found to include controversial and dubitable assumptions as premises. It is then suggested that both these controversial assumptions and Davidson's metaphysical and epistemological presuppositions can be partially defended, however, by dialectical, interpretive, and historical arguments that elucidate the nature of persons.     

Socialism in One Country: A Reassessment

Until 1917 Lenin and Trotsky believed that an isolated revolutionary Russia would have no chance of survival. However, from 1917 to 1923 Lenin's standpoint on this matter underwent a complete reversal. First he came to the conclusion that socialism could be built in an isolated Russia, although it would remain incomplete in the absence of the world revolution. By 1923 he was abandoning that latter qualification too. The standpoint of Stalin and Bukharin in the debate on socialism in one country of 1925–26 was more orthodox-Leninist than the position taken by Trotsky, who had at first also embraced the notion of incomplete socialism, but subsequently returned to the old concept, abandoned by Lenin, that the restoration of capitalism was inevitable in the absence of the world revolution.     

Early German approaches to experimental reading research: The contributions of Wilhelm Wundt and Ernst Meumann

Summary Wundt looked at the reading process from a predominantly theoretical perspective. He opposed the total shape theory formulated by Erdmann and Dodge and insisted on the occurrence of attention shifts during word recognition. As an alternative to the total shape theory, he formulated a two-stage theory of word recognition. An initial, apperceptive phase of reading is concerned with the active analysis of visually salient local details, and a second, assimilative phase fills in the unanalyzed parts of words on the basis of a passive evocation of earlier experiences with graphemic input. Meumann looked at the reading process from the point of view of an educational psychologist. His review of experimental reading research presents most of the basic issues which are still controversial today. In his recommendations for the teaching of reading, he emphasized the importance of analyzing words into their constituent sounds and of articulatory awareness as a precondition for the firm establishment of connections between graphemes and speech sounds. The review discusses some of the reasons why the experimentally based approach to the psychology of reading failed to evoke the interest of German educators after World War I.