Digitisation, representation, and formalisation - Digital libraries of mathematics

One of the main tasks of the mathematical knowledge management community must surely be to enhance access to mathematics on digital systems. In this paper we present a spectrum of approaches to solving the various problems inherent in this task, arguing that a variety of approaches is both necessary and useful. The main ideas presented are about the differences between digitised mathematics, digitally represented mathematics and formalised mathematics. Each has its part to play in managing mathematical information in a connected world. Digitised material is that which is embodied in a computer file, accessible and displayable locally or globally. Represented material is digital material in which there is some structure (usually syntactic in nature) which maps to the mathematics contained in the digitised information. Formalised material is that in which both the syntax and semantics of the represented material, is automatically accessible. Given the range of mathematical information to which access is desired, and the limited resources available for managing that information, we must ensure that these resources are applied to digitise, form representations of or formalise, existing and new mathematical information in such a way as to extract the most benefit from the least expenditure of resources. We also analyse some of the various social and legal issues which surround the practical tasks.

The geography of tyranny and despair: development indicators and the hypothesis of genetic inevitability of national inequality

Development geography has long sought to understand why inequalities exist and the best ways to address them. Dependency theory sets out an historical rationale for under development based on colonialism and a legacy of developed core and under-developed periphery. Race is relevant in this theory only insofar that Europeans are white and the places they colonised were occupied by people with darker skin colour. There are no innate biological reasons why it happened in that order. However, a new theory for national inequalities proposed by Lynn and Vanhanen in a series of publications makes the case that poorer countries have that status because of a poorer genetic stock rather than an accident of history. They argue that IQ has a genetic basis and IQ is linked to ability. Thus races with a poorer IQ have less ability, and thus national IQ can be positively correlated with performance as measured by an indicator like GDP/capita. Their thesis is one of despair, as little can be done to improve genetic stock significantly other than a programme of eugenics. This paper summarises and critiques the Lynn and Vanhanen hypothesis and the assumptions upon which it is based, and uses this analysis to show how a human desire to simplify in order to manage can be dangerous in development geography. While the attention may naturally be focused on the 'national IQ' variables as a proxy measure of 'innate ability', the assumption of GDP per capita as an indicator of 'success' and 'achievement' is far more readily accepted without criticism. The paper makes the case that the current vogue for indicators, indices and cause-effect can be tyrannical.

Reflections of geography and gender, then and now

Women and Geography Study Group Publication on the anniversary of Geography and Gender. The Women and Geography Study Group's publication "Geography and Gender Reconsidered" (ISBN 0 -902447 - 26 - 2) can now be purchased in UK, USA and Canada. This self-publication on CD-Rom was produced to celebrate and reflect upon the 20 years since the groundbreaking "Geography and Gender" published by the WGSG in 1984, and to coincide with a session at the IGU conference in Glasgow in Aug 2004. The self-publication format allowed a more flexible approach to writing, in addition to minimising the price of the final produce while maximising return for the study group (to support student conference attendance, reading weekends and other activities).

Feminist geography, prehistory of

The article traces the beginnings and early history of feminist geography in the United Kingdom through the memories and personal narratives of two women who were heavily involved in this field of geographical research, in the 1970s, and were founder members of the Women and Geography Study Group of the Institute of British Geographers. The article begins by considering the context (both political and academic) within which feminist geography was born. Second-wave feminism and the rise of the women’s movement, initially in the United States, is seen as a major influence on the development of feminist geography. In the academic world, it was the dominance of quantitative geography in the 1960s, and the related opposition to this positivist paradigm by humanistic and socialist geographers, which led to calls for a recognition of the inequalities faced by women in society and an understanding of the differences in men’s and women’s lives. Through personal narratives, the authors seek to illustrate the obstacles and disagreements, as well as the encouragements and opportunities, which led to the birth of UK-feminist geography. Many individual geographers, influential to the story, are referred to, seen through the eyes of the authors at that time.