More precisely defining and measuring the order-irrelevance principle

R. Gelman and C. Gallistel (1978, Young Children's Understanding of Number, Cambridge, MA: Harvard Univ. Press) use two definitions of the order-irrelevance principle interchangeably: (1) count tags do not have to be assigned in a fixed order and (2) the order in which elements of a set are enumerated does not affect the cardinal designation of the set. A study involving 107 kindergarten and first grade children indicates that the two are actually distinct concepts. Apparently, a willingness to arbitrarily assign tags is a developmentally less sophisticated ability than--and hence does not necessarily imply--an ability to predict that differently ordered counts produce the same cardinal designation. Thus it appears that evidence of the second ability is necessary to infer a full understanding of the order-irrelevance principle. The first ability alone implies what might better be termed an "order-indifferent tagging scheme." Suggestions for measuring and further researching the order-irrelevance principle are discussed.     

Minds and Bodies: Human and Divine

Does God have a mind? Western theism has traditionally construed God as an intentional agent who acts on creation and in relation to humankind. God loves, punishes, and redeems. God's intentionality has traditionally been construed in analogy to human intentionality, which in turn has often presumed a supernatural dualism. Developments in cognitive science, however, render supernatural dualism suspect for explaining the human mind. How, then, can we speak of the mind of God? Borrowing from Daniel Dennett's intentional stance, I suggest that analogical reasoning regarding the mind of God be abandoned in favor of an ontologically agnostic approach that treats God as an intentional system. In this approach, God's purposive action is an explanatory feature of the believer's universe, a real pattern that informs our values and beliefs about the world and our place in it.     

COSMOLOGY FROM ALPHA TO OMEGA

Abstract. This paper focuses on four passages in the journey of the universe from beginning to end: its origin in the Big Bang, the production of heavy elements in first generation stars, the buzzing symphony of life on earth, and the distant future of the cosmos. As a physicist and a Christian theologian, I will ask how each of these passages casts light on the deepest questions of existence and our relation to God, and in turn how these questions are being explored through ongoing research into the interaction between Christian theology and the natural sciences.     

Incorporating inferences in narrative representations: A study of how and why

Four experiments examined the conceptual organization of narrative passages and the extent to which these representations were explanatory in a variety of experimental tasks. The conceptual representation of a passage consisted of a graph of labeled nodes and labeled, directed arcs which were adopted from the Conceptual Dependency Theory. These representations included both explicitly stated information and inferences which had been empirically extracted by a question-answering procedure. Symbolic procedures for answering how- and why-questions were also delineated. The conceptual representations and the symbolic procedures that operate on these representations together accounted for 91% of the answers generated from question-answering protocols in Experiment 1, and also the rated quality of specific answers to specific questions in Experiment 2. Experiments 3 and 4 supported the hypothesis that structural properties of the representations can predict recall of explicitly stated nodes and verification ratings of inference nodes. The results provide encouraging support for the proposed graphic representations and also for the use of question-answering protocols in uncovering prose inferences.     

Auditory processing and anxiety in stutterers

This study utilized the Synthetic Sentence Identification/Ipsilateral and Contralateral Competing Message subtests and the State-Trait Anxiety Inventory to examine auditory processing deficits, anxiety levels, and the interaction of these two components in 15 adult stutterers and 15 nonstutterers. Results support brainstem auditory processing deficits in stutterers and equalization of cortical functioning between groups. Group differences were not found in anxiety levels. Nonsignificant correlations between anxiety levels and auditory processing were revealed.     

An examination of culture bias in the wonderlic personnel test

Internal evidence of cultural bias, in terms of various types of item analysis, was sought in the Wonderlic Personnel Test results in large, representative samples of Whites and Blacks totaling some 1,500 subjects. Essentially, the lack of any appreciable Race × Items interaction and the high interracial similarity in rank order of item difficulties lead to the conclusion that the Wonderlic shows very little evidence of cultural bias with respect to the present samples which, however, differ appreciably in mean scores. The items which account for the most variance within each racial group are, by and large, the same items that show the largest interracial discrimination.     

Zone Morality

Traditional moral theory usually has either of two emphases: virtuous moral character or principles for distributing duties or goods. “Zone morality” introduces a third: families and businesses are systems created by the causal reciprocities of their members. These relations embody the duties and permissions of a system's moral code. Core systems satisfy basic interests and needs; we move easily among them, hardly noticing that moral demands vary from system to system. Moral conflicts arise because of discord within or among systems but also because morality has three competing sites: personal attitudes and practices (benevolence or hostility), the moral codes of systems, and regulative principles that enhance social cohesion. A strong church or central government reduces conflict by imposing its rules. A democracy responds by encouraging persons and systems to participate in forums where claims are made; it promises fairness by requiring that all satisfy its legal procedures.     

BIOLOGY AND THE THEOLOGY OF THE HUMAN

We will consider two Christian responses to the enormous advances in recent years in the connected sciences of genetics, evolutionary biology, and biochemistry, a dualist one by Pope John Paul II and an “emergentist” one by Arthur Peacocke. These two could hardly be more different. It would be impossible within the scope of a brief comment to do justice to these differences. What I hope to do instead is more modest: to draw attention to troublesome ambiguities in some of the key concepts on which discussions of human uniqueness depend, to recall very briefly some of the difficulties philosophers have encountered in their attempts to define the relation of the human powers of mind to the material capacities of body, and finally to ask what the theological significance of all this is.