Scientific Understanding and Mathematical Abstraction

This paper argues for two related theses. The first is that mathematical abstraction can play an important role in shaping the way we think about and hence understand certain phenomena, an enterprise that extends well beyond simply representing those phenomena for the purpose of calculating/predicting their behaviour. The second is that much of our contemporary understanding and interpretation of natural selection has resulted from the way it has been described in the context of statistics and mathematics. I argue for these claims by tracing attempts to understand the basis of natural selection from its early formulation as a statistical theory to its later development by R.A. Fisher, one of the founders of modern population genetics. Not only did these developments put natural selection of a firm theoretical foundation but its mathematization changed the way it was understood as a biological process. Instead of simply clarifying its status, mathematical techniques were responsible for redefining or reconceptualising selection. As a corollary I show how a highly idealised mathematical law that seemingly fails to describe any concrete system can nevertheless contain a great deal of accurate information that can enhance our understanding far beyond simply predictive capabilities.

Aristotle's ontogenesis: a theory of individuation which integrates the classical and developmental perspectives

The effects of the classical/developmental split in analytical psychology are described. No underlying issues explaining the nature of the split have been clearly enunciated. The schools can, however, be distinguished by their differing epistemologies. These are the hermeneutic and transcendental branches of phenomenology. The use of these epistemologies leads their proponents to either an immanent or transcendent concept of the divine, respectively. The theoretical break between Freud and Jung can, in part, be attributed to their espousal of determinism and teleology, respectively. This conflict has been continued in analytical psychology with the developmentalists most often advocating determinism, and the classicists usually championing teleology. The dissimilar causal theories lead to different concepts of the nature of individuation. Aristotle's fourfold theory of causality, of which determinism and teleology are two categories, can be seen to be an ontogenic theory rather than a classification of causal influences. Applying his theory to the process of individuation provides an ontogenesis that more accurately describes the process itself, and unifies the developmental and classical theories. Intimations of this formulation in Jung's work are described. More explicit conceptions of this idea in the work of two contemporary analytical psychologists and that of Wilfred Bion are also presented.     

Age, memory load, and individual differences in working memory as determinants of class-inclusion reasoning.

We studied the effects of individual differences in speak-span scores and variations in memory demands on the class-inclusion performance of 10-, 13-, and 15-year-old children. The speak-span task was an age-appropriate modification of Daneman and Carpenter's (1980) reading-span task and was considered to be a measure of global resources. The age variable was assumed to be a global index of skill development, and some of the specific skills hypothesized to be important in class-inclusion reasoning were estimated using a mathematical model. The results from both regression analyses and the mathematical model indicated that differences in age, speak span, and memory load all affected performance. Surprisingly, the effects of speak span and memory load were independent. However, the effects of each of these variables depended on the age level of the participants. Based on these findings, we argued that (a) resources vary continuously with age, (b) both skill level and global resources should be varied in developmental studies of problem solving, and (c) resource theories (e.g., Norman & Shallice, 1986) should be modified to account for developmental change.     

马克思的本体论思想及其当代意义

马克思的本体论思想日益引起学界的关注。本文认为,必须从马克思的哲学革命变革的宗旨和使命出发,把本体论问题放到“解释世界”和“改变世界”的框架内,才能给马克思的本体论思想以及正确的诠释和定位,马克思终点了传统的思辨形而上学本体论,但却继承和光大了人类的形而上情结和追求,并以人和人的实践活动底蕴,深刻地回答了世界本真存在的追问,关爱生命,提高人的素质,促进人的全面发展,这就是马克思本体论思想的当代价值所在。     

Children's understanding of death as the cessation of agency: a test using sleep versus death

An important problem faced by children is discriminating between entities capable of goal-directed action, i.e. intentional agents, and non-agents. In the case of discriminating between living and dead animals, including humans, this problem is particularly difficult, because of the large number of perceptual cues that living and dead animals share. However, there are potential costs of failing to discriminate between living and dead animals, including unnecessary vigilance and lost opportunities from failing to realize that an animal, such as an animal killed for food, is dead. This might have led to the evolution of mechanisms specifically for distinguishing between living and dead animals in terms of their ability to act. Here we test this hypothesis by examining patterns of inferences about sleeping and dead organisms by Shuar and German children between 3 and 5-years old. The results show that by age 4, causal cues to death block agency attributions to animals and people, whereas cues to sleep do not. The developmental trajectory of this pattern of inferences is identical across cultures, consistent with the hypothesis of a living/dead discrimination mechanism as a reliably developing part of core cognitive architecture.     

Depression, Existential Family Therapy, and Viktor Frankl's Dimensional Ontology

In existential family therapy, it is believed that Viktor Frankl's dimensional ontology is a useful way to understand the different levels of depression that are important in both family assessment and family treatment. This article reviews Frankl's dimensional ontology, its usefulness for existential family treatment, the must, can, and ought levels of family depression, and presents clinical material illustrating the described existential family treatment approach.     

小学四年级数学诊断性测验的编制与研究

诊断性测验是诊断性评价的工具。本研究以教育测量与评价的基本原理为指导,按照诊断性测验编制的方法和步骤,在详细制定了小学四年级数学教学目标体系的基础上编制出《小学四年级数学诊断性测验》并获取了该测验的信度和效度证据。本研究对中小学各科诊断性测验的编制具有普遍的指导意义,所编测验对于诊断学生学习困难、弥补教学不足有实际应用价值。     

Mathematical modeling of movement between residential placements: A systems analytic approach to understanding systems of care

Although the concept of a system of care for children and adolescents with a severe emotional disturbance has become core to treatment philosophy, very little research has focused on systems of care as systems. This article attempts to contribute to the development of a systems research paradigm in children's mental health as well as to add to the substantive knowledge of utilization of and movement between residential options in a statewide multiagency service delivery system. Information on residential placement gathered at six month intervals over a three year period is used to develop a mathematical model of the system of care. This model can help administrators to predict future needs for residential care, and to project probable outcomes of alternative strategies for meeting the needs of these children and adolescents.