Counting to Infinity: Does Learning the Syntax of the Count List Predict Knowledge That Numbers Are Infinite?

By around the age of 5½, many children in the United States judge that numbers never end, and that it is always possible to add 1 to a set. These same children also generally perform well when asked to label the quantity of a set after one object is added (e.g., judging that a set labeled “five” should now be “six”). These findings suggest that children have implicit knowledge of the “successor function”: Every natural number, n, has a successor, n + 1. Here, we explored how children discover this recursive function, and whether it might be related to discovering productive morphological rules that govern language-specific counting routines (e.g., the rules in English that represent base-10 structure). We tested 4- and 5-year-old children’s knowledge of counting with three tasks, which we then related to (a) children’s belief that 1 can always be added to any number (the successor function) and (b) their belief that numbers never end (infinity). Children who exhibited knowledge of a productive counting rule were significantly more likely to believe that numbers are infinite (i.e., there is no largest number), though such counting knowledge was not directly linked to knowledge of the successor function, per se. Also, our findings suggest that children as young as 4 years of age are able to implement rules defined over their verbal count list to generate number words beyond their spontaneous counting range, an insight which may support reasoning over their acquired verbal count sequence to infer that numbers never end.     

Examining and reexamining the structure of Chinese-English bilingual memory

The asymmetry model of bilingual memory proposed by Kroll and Stewart assumes that translation from a first language (L1) into a second language (L2), or forward translation, is mediated by an underlying conceptual memory, whereas L2-to-L1, or backward, translation is lexical and direct. Lexical links from L2 to L1 are hypothesized to be stronger than those from L1 to L2, but conceptual links are stronger for L1 than L2. These assumptions were evaluated in this study, which used stimulus items with similar recognition thresholds. Proficient Chinese-English bilinguals were tested on picture naming, word naming, word translation and category matching. The translation asymmetry effect predicted by the model (i.e., backward being faster than forward translation) was demonstrated; matching an L1 item to a category name was also faster than matching an L2 item. This pattern of results, nevertheless, did not completely hold after an adjustment procedure which sought to control for variations in response production and concept retrieval times due to stimulus types. The present findings are consistent with previous ones which show increased L2 conceptual processing for the proficient bilingual. They also suggest that an extended version of the asymmetry model should take into account possible biasing effects associated with some conventionally used bilingual tasks.     

Cognitive-behaviour therapy for marital conflict: refining the concept of attribution

In recent years, the concept of attribution has received increasing attention in the field of cognitive-behavioural marital therapy. Research has found that the attribution dimensions of source, globality, stability, intent and voluntariness are related to marital distress and conflict behaviours. This paper argues that the application of the attribution dimensions has been conceptually problematic, and proposes a distinction between attributions made for a specific conflict episode, a behaviour in an episode and the causal schema for the conflictual relationships. Different reattribution techniques should be employed to target attributional change at appropriate levels of conflict attributions. This proposition is illustrated with a case example.     

Revisiting a contrasting thought between Descartes and Spinoza in the light of psychotherapy

The aim of this paper is to revisit one contrasting thought on the notion cause and effect between Descartes and Spinoza. This debate will be re-examined in the light of clients' knowledge of the cause and effect of their psychological distress, prior to seeking psychotherapy and in the process of receiving treatments. The treatment approach chosen for this paper is psychodynamic. This paper also aims to demonstrate how psychoterapeutic ideas can contribute to philosophical debates     

On Two Versions of ‘the Surprise Examination Paradox’

In this paper, I consider a popular version of the clever student’s reasoning in the surprise examination case, and demonstrate that a valid argument can be constructed. The valid argument is a reductio ad absurdum with the proposition that the student knows on the morning of the first day that the teacher’s announcement is fulfilled as its reductio. But it would not give rise to any paradox. In the process, I criticize Saul Kripke’s solution and Timothy Williamson’s attack on a key step of the student’s reasoning. I then consider the condemned prisoner case in W. V. Quine’s paper ‘On a So-Called Paradox’. I argue that the prisoner’s reasoning as conceived by Quine is more relevant and reasonable than the student’s argument in the popular version of the surprise examination case. I also argue that Quine’s criticism of the prisoner’s reasoning is correct, and therefore that the condemned prisoner case, and the surprise examination case as well, would not generate any paradox.     

Evidence for a sensitive period for acculturation: younger immigrants report acculturating at a faster rate

Though recent adult immigrants often seem less acculturated to their new society than people who immigrated as children, it is not clear whether this difference is driven by duration of exposure or exposure during a sensitive developmental period. In a study aimed at disambiguating these influences, community and student samples of Hong Kong immigrants to Vancouver, Canada, completed the Vancouver Index of Acculturation, a measure that assesses respondents' identification with their mainstream and heritage cultures. A longer duration of exposure was found to be associated with greater identification with Canadian culture only at younger ages of immigration, but not at later ages of immigration. Conversely, identification with Chinese culture was unaffected by either age of immigration or length of exposure to Canadian culture. These findings provide evidence for a sensitive period for acculturation: People are better able to identify with a host culture the longer their exposure to it, but only if this exposure occurs when they are relatively young.     

Surveys of community attitudes toward mental health facilities: Reflections or provocations?

This paper points out how political motives behind community research may affect the outcome. The case of public opposition to psychiatric halfway houses in Hong Kong is used as an illustration. These mass surveys related to the issue are reviewed to show how the different public opinions expressed may be affected by the objectives, context, sample, and content of the surveys.     

How do we know that we are unique?

This paper aims to examine the notion of uniqueness as one aspect of the self that is taken for granted in psychotherapy. This paper attempts to address the question 'how do we know that we are unique individuals?' and in so doing, points out some difficulties. One plausible, but not problem-free answer is the notion of privileged access. Some of the problems will be briefly outlined.