Can the Internet reach beyond the U. S. college samples predominant in social science research? A sample of 564,502 participants completed a personality questionnaire online. We found that 19% were not from advanced economies; 20% were from non-Western societies; 35% of the Western-society sample were not from the United States; and 66% of the U. S. sample were not in the 18–22 (college) age group.

To adequately model mathematical arguments the analyst must be able to represent the mathematical objects under discussion and the relationships between them, as well as inferences drawn about these objects and relationships as the discourse unfolds. We introduce a framework with these properties, which has been used to analyse mathematical dialogues and expository texts. The framework can recover salient elements of discourse at, and within, the sentence level, as well as the way mathematical content connects to form larger argumentative structures. (...) We show how the framework might be used to support computational reasoning, and argue that it provides a more natural way to examine the process of proving theorems than do Lamport’s structured proofs. (shrink)

Why are some people more mentally able than others? In an authoritative, critical and intergrated series of review essays Professor Ian Deary inquires after the cognitive and biological foundations of human mental ability differences. Many accounts of intelligence have examined the structure and number of human mental ability differences and whether they can predict sucess in education,work and social life. Few books have taken psychometric intelligence differences as a starting point and brought together the reductionistic attempts to explain them.New to (...) the highly acclaimed Oxford Psychology Series, Looking Down on Human Intelligence appraises the search for the origins of psychometric intelligence differences in terms of brain function parameters. The book provides an original and thought provoking guide to ancient and modern research on one of the most compelling questions in human psychology. (shrink)

Anthropology is a disciplined inquiry into the conditions and potentials of human life. Generations of theorists, however, have expunged life from their accounts, treating it as the mere output of patterns, codes, structures or systems variously defined as genetic or cultural, natural or social. Building on his classic work The Perception of the Environment, Tim Ingold sets out to restore life to where it should belong, at the heart of anthropological concern. Being Alive ranges over such themes as the vitality (...) of materials, what it means to make things, the perception and formation of the ground, the mingling of earth and sky in the weather-world, the experiences of light, sound and feeling, the role of storytelling in the integration of knowledge, and the potential of drawing to unite observation and description. Our humanity, Ingold argues, does not come ready-made but is continually fashioned in our movements along ways of life. Starting from the idea of life as a process of wayfaring, Ingold presents a radically new understanding of movement, knowledge and description as dimensions not just of being in the world, but of being alive to what is going on there. (shrink)

In this chapter we use methods of corpus linguistics to investigate the ways in which mathematicians describe their work as explanatory in their research papers. We analyse use of the words explain/explanation (and various related words and expressions) in a large corpus of texts containing research papers in mathematics and in physical sciences, comparing this with their use in corpora of general, day-to-day English. We find that although mathematicians do use this family of words, such use is considerably less prevalent (...) in mathematics papers than in physics papers or in general English. Furthermore, we find that the proportion with which mathematicians use expressions related to ‘explaining why’ and ‘explaining how’ is significantly different to the equivalent proportion in physics and in general English. We discuss possible accounts for these differences. (shrink)

Analysis of online mathematics forums can help reveal how explanation is used by mathematicians; we contend that this use of explanation may help to provide an informal conceptualization of simplicity. We extracted six conjectures from recent philosophical work on the occurrence and characteristics of explanation in mathematics. We then tested these conjectures against a corpus derived from online mathematical discussions. To this end, we employed two techniques, one based on indicator terms, the other on a random sample of comments lacking (...) such indicators. Our findings suggest that explanation is widespread in mathematical practice and that it occurs not only in proofs but also in other mathematical contexts. Our work also provides further evidence for the utility of empirical methods in addressing philosophical problems. (shrink)