The Relation between Formal and Informal Logic

The issue of the relationship between formal and informal logic depends strongly on how one understands these two designations. While there is very little disagreement about the nature of formal logic, the same is not true regarding informal logic, which is understood in various (often incompatible) ways by various thinkers. After reviewing some of the more prominent conceptions of informal logic, I will present my own, defend it and then show how informal logic, so understood, is complementary to formal logic.     

Argumentation as Rule-Justified Claims: Elements of a Conceptual Framework for the Critical Analysis of Argument

The paper outlines a conceptual framework for the critical assessment of argumentation which differs in some of its core characteristics from conventional approaches: it is resolutely semantic rather than formal in its method; it centers on obligations rather than beliefs; and its analytical focus is on the contingent necessity of conclusions, rather than on their persuasiveness or formal validity. The paper briefly illustrates the applications of this conceptual framework by reanalyzing a couple of examples taken from the argumentation analysis literature.     

Resistance as a Problem for Practice and Theory

Resistance is one of the most problematic and potentially counterproductive concepts in the entire field of psychotherapy. It is at the same time one of the most crucial, pointing toward perhaps the single most important factor—or, more accurately, set of factors—in determining the success or failure of the therapeutic enterprise. Drawing on the articles by Davis and Hollon, Prochaska and Prochaska, Reid, and Eagle in this issue, as well as on the author's own perspective, this paper explores this seeming contradiction in order to point toward an integrative resolution of the differing perspectives on resistance and related phenomena.     

Life-Prolonging Killings and their Relevance to Ethics

What makes killing morally wrong? And what makes killing morally worse than letting die? Standard answers to these two questions presuppose that killing someone involves shortening that person's life. Yet, as I argue in the first two sections of this article, this presupposition is false: Life-prolonging killings are conceivable. In the last two sections of the article, I explore the significance of the conceivability of such killings for various discussions of the two questions just mentioned. In particular, I show why the conceivability of life-prolonging killings renders Frances M. Kamm's attempt to provide an answer to the second question problematic.     

Constrained maximum likelihood estimation of two-level covariance structure model via EM type algorithms

In this paper, the constrained maximum likelihood estimation of a two-level covariance structure model with unbalanced designs is considered. The two-level model is reformulated as a single-level model by treating the group level latent random vectors as hypothetical missing-data. Then, the popular EM algorithm is extended to obtain the constrained maximum likelihood estimates. For general nonlinear constraints, the multiplier method is used at theM-step to find the constrained minimum of the conditional expectation. An accelerated EM gradient procedure is derived to handle linear constraints. The empirical performance of the proposed EM type algorithms is illustrated by some artifical and real examples.This research was supported by a Hong Kong UCG Earmarked Grant, CUHK 4026/97H. We are greatly indebted to D.E. Morisky and J.A. Stein for the use of their AIDS data in our example. We also thank the Editor, two anonymous reviewers, W.Y. Poon and H.T. Zhu for constructive suggestions and comments in improving the paper. The assistance of Michael K.H. Leung and Esther L.S. Tam is gratefully acknowledged.     

Milestones in the development of infant numeracy

This article deals with the development of numeracy among young children of the four to seven year age group. The research investigation described had two aims: to see how early numeracy develops in children of different ages; and to see whether there are fixed points which might serve as milestones in the development of infant numeracy. The results of this investigation involving 96 children indicate a strong development of numeracy skills during this period. With reference to the literature, it is also shown that certain items of a test previously developed for this purpose may be taken as core items that do indeed represent milestones in the development of infant numeracy.     

An Operational Logic of Proofs with Positive and Negative Information

The logic of proofs was introduced by Artemov in order to analize the formalization of the concept of proof rather than the concept of provability. In this context, some operations on proofs play a very important role. In this paper, we investigate some very natural operations, paying attention not only to positive information, but also to negative information (i.e. information saying that something cannot be a proof). We give a formalization for a fragment of such a logic of proofs, and we prove that our fragment is complete and decidable.     

The relevance of attachment theory to a contemporary Jungian view of the internal world: internal working models, implicit memory and internal objects

In this paper I examine the various meanings of the term 'internal object' and the differences between various theoretical models for the formation of internal objects. I suggest that the idea in attachment theory of 'internal working models' emphasizes the internal world as one consisting of unconscious internalized patterns of emotional relationships. The term 'internal object' lacks this clarity and the different meanings it carries within differing theoretical frameworks are a source of confusion. I describe the role implicit memory plays in the formation of 'internal working model's and suggest that these offer us an alternative explanation for unconscious fantasy and for object relationships to that of instinctual drives. This model is then brought to bear on contemporary Jungian concepts of the internal world, with a suggestion that, seen in this light, Jung's formulation of the concept of the complex has many features in common with the 'internal working model' of attachment theory.     

Two Envelopes and Binding

This paper describes a way of defending a modification of Eckhardt's [2013] solution to the Two Envelopes Paradox. The defence is based on ideas from Arntzenius, Elga, and Hawthorne [2004].     

Bidirectional semantic associations between social power and weight

Two experiments were conducted to examine bidirectional semantic associations between power and weight using a priming paradigm. Bidirectionality in the relationship between power and weight was demonstrated, utilising tasks that were identical except that the orders in which the stimuli were presented were reversed. In Experiment 1, an empty scale leaning either leftward or rightward was used as a priming stimulus, and a scale that appeared in equilibrium with a pair of power words was used as a target stimulus. In Experiment 2, a scale with a pair of words that appeared in equilibrium was used as a priming stimulus, and an empty scale leaning either leftward or rightward was used as a target stimulus. We identified interaction effects between power and weight in both experiments. Associations between power and weight provide evidence for both conceptual metaphor views and evolutionary theory. The bidirectionality of metaphorical effects is in line with the strong version of metaphoric structuring. Both language and experiential correlations play important roles in the development of the mapping between power and weight.