5,148 research outputs found
The horofunction boundary of the Hilbert geometry
We investigate the horofunction boundary of the Hilbert geometry defined on
an arbitrary finite-dimensional bounded convex domain D. We determine its set
of Busemann points, which are those points that are the limits of
`almost-geodesics'. In addition, we show that any sequence of points converging
to a point in the horofunction boundary also converges in the usual sense to a
point in the Euclidean boundary of D. We prove that all horofunctions are
Busemann points if and only if the set of extreme sets of the polar of D is
closed in the Painleve-Kuratowski topology.Comment: 24 pages, 2 figures; minor changes, examples adde
Ex-nihilo: Obstacles Surrounding Teaching the Standard Model
The model of the Big Bang is an integral part of the national curriculum for
England. Previous work (e.g. Baxter 1989) has shown that pupils often come into
education with many and varied prior misconceptions emanating from both
internal and external sources. Whilst virtually all of these misconceptions can
be remedied, there will remain (by its very nature) the obstacle of ex-nihilo,
as characterised by the question `how do you get something from nothing?' There
are two origins of this obstacle: conceptual (i.e. knowledge-based) and
cultural (e.g. deeply held religious viewpoints). The article shows how the
citizenship section of the national curriculum, coming `online' in England from
September 2002, presents a new opportunity for exploiting these.Comment: 6 pages. Accepted for publication in Physics E
Intergenerational justice of what: welfare, resources or capabilities?
An important aspect of intergenerational justice concerns the specification of a 'currency of advantage' that can be used to evaluate distributive outcomes across time. Environmental theorists have introduced several innovative currencies of justice in recent years, such as ecological space and critical natural capital. However they have often downplayed the application of established currencies (such as welfare, resources or capabilities) to issues of futurity. After exploring the merits of a number of rival currencies, it is argued that the currency of 'capabilities to function' provides a promising basis for a theory of justice that takes seriously the rights and duties of intergenerational justice
Systematic revision of the genus Paroedura Gnther (Reptilia: Squamata: Gekkonidae), with the description of five new species
http://deepblue.lib.umich.edu/bitstream/2027.42/56432/1/MP189.pd
A review of the Madagascan snake genera Pseudoxyrhopus, Pararhadinaea, and Heteroliodon (Squamata: Colubridae)
http://deepblue.lib.umich.edu/bitstream/2027.42/56426/1/MP182.pd
Ten myths about character, virtue and virtue education â plus three well-founded misgivings
Initiatives to cultivate character and virtue in moral education at school continue to provoke sceptical responses. Most of those echo familiar misgivings about the notions of character, virtue and education in virtue â as unclear, redundant, old-fashioned, religious, paternalistic, anti-democratic, conservative, individualistic, relative and situation dependent. I expose those misgivings as âmythsâ, while at the same time acknowledging three better-founded historical, methodological and practical concerns about the notions in question
Educating for Autonomy: Liberalism and Autonomy in the Capabilities Approach
Martha Nussbaum grounds her version of the capabilities approach in political liberalism. In this paper, we argue that the capabilities approach, insofar as it genuinely values the things that persons can actually do and be, must be grounded in a hybrid account of liberalism: in order to show respect for adults, its justification must be political; in order to show respect for children, however, its implementation must include a commitment to comprehensive autonomy, one that ensures that children develop the skills necessary to make meaningful choices about whether or not to exercise their basic capabilities. Importantly, in order to show respect for parents who do not necessarily recognize autonomy as a value, we argue that the liberal state, via its system of public education, should take on the role of ensuring that all children within the state develop a sufficient degree of autonomy
A new species of Mabuya Fitzinger (Squamata: Scincidae: Lygosominae) from northern Madagascar
http://deepblue.lib.umich.edu/bitstream/2027.42/57164/1/OP728.pd
Observations and re-description of Zonosaurus boettgeri Steindachner 1891 and description of a second new species of long-tailed Zonosaurus from western Madagascar
http://deepblue.lib.umich.edu/bitstream/2027.42/57175/1/OP739.pd
An archaeology of borders: qualitative political theory as a tool in addressing moral distance
Interviews, field observations and other qualitative methods increasingly are being used to inform the construction of arguments in normative political theory. This article works to demonstrate the strong salience of some kinds of qualitative material for cosmopolitan arguments to extend distributive boundaries. The incorporation of interviews and related qualitative material can make the moral claims of excluded others more vivid and possibly more difficult to dismiss by advocates of strong priority to compatriots in distributions. Further, it may help to promote the kind of perspective taking that has been associated with actually motivating a willingness to aid by individuals. Illustrative findings are presented from field work conducted for a normative project on global citizenship, including interviews with unauthorized immigrants and the analysis of artifacts left behind on heavily used migrant trails
- âŠ