Evidential Holism and Indispensability Arguments

The indispensability argument is a method for showing that abstract mathematical objects exist (call this mathematical Platonism). Various versions of this argument have been proposed (§1). Lately, commentators seem to have agreed that a holistic indispensability argument (§2) will not work, and that an explanatory indispensability argument is the best candidate. In this paper I argue that the dominant reasons for rejecting the holistic indispensability argument are mistaken. This is largely due to an overestimation of the consequences that follow from evidential holism. Nevertheless, the holistic indispensability argument should be rejected, but for a different reason (§3)—in order that an indispensability argument relying on holism can work, it must invoke an unmotivated version of evidential holism. Such an argument will be unsound. Correcting the argument with a proper construal of evidential holism means that it can no longer deliver mathematical Platonism as a conclusion: such an argument for Platonism will be invalid. I then show how the reasons for rejecting the holistic indispensability argument importantly constrain what kind of account of explanation will be permissible in explanatory versions (§4).

Racist harassment in the white hinterlands: minority ethnic children and parents' experiences in schools in Northern Ireland

This article explores the nature and extent of racist harassment in predominantly white areas. It is based upon a case study of Northern Ireland and draws upon data from indepth interviews with a total of 32 children and 43 parents drawn from the four largest minority ethnic groups in the region: Chinese, Irish Travellers, South Asians and Black Africans. The article demonstrates that racist harassment is a significant problem in schools in Northern Ireland and highlights the varied forms that it can take from overt acts of physical and verbal abuse to more covert and subtle forms of teasing and 'friendly' banter. Following a consideration of the differing responses that schools have made to racist incidents reported to them by children and/or parents, the article concludes by considering the implications of the findings and re-affirming the argument that anti-racist strategies are as relevant and necessary for schools in predominantly white regions as they are in multi-ethnic areas.

The Masculine Habitus as 'Distributed Cognition': A Case Study of 5- to 6-Year-Old Boys in an English Inner-City, Multi-Ethnic Primary School

This article provides a case study demonstrating the active role that 5- to 6-year-old boys in an English inner-city, multi-ethnic primary school play in the appropriation and reproduction of their masculine identities. It is argued that the emphasis on physicality, violence and racism found among the boys cannot be understood without reference to the immediate contexts of the local community and the school within which they are located. In making this argument the article draws upon and applies the concept of the habitus and develops this with the notion of 'distributed cognition' as proposed in sociocultural theory. Some of the implications of this analysis for working with boys in early years settings are discussed in the conclusion.

New Ways of Looking at the State Apparatus and the State Archive in Nineteenth Century Ireland: Curiosities from that Phonetic Museum - Royal Irish Constabulary Reports and their Political Uses, 1879-91

This essay seeks to contextualise the intelligence work of the Royal Irish Constabulary, particularly in the 1880s, in terms of the wider British and imperial practice and, as a corollary, to reflect upon aspects of the structure of the state apparatus and the state archive in Ireland since the Union. The author contrasts Irish and British police and bureaucratic work and suggests parallels between Ireland and other imperial locations, especially India. This paper also defines the narrowly political, indeed partisan, uses to which this intelligence was put, particularly during the Special Commission of 1888 on 'Parnellism and crime', when governmentheld police records were made available to counsel for The Times. By reflecting on the structure of the state apparatus and its use in this instance, the author aims to further the debate on the governance of nineteenth-century Ireland and to explore issues of colonial identity and practice. The line of argument proposed in this essay is prefigured in Margaret O'Callaghan, British high politics and a nationalist Ireland: criminality, land and the law under Forster and Balfour (Cork, 199

The State, Compartmentalization and the Turn to Local Community: A Critique of the Political Thought of Alasdair MacIntyre

Alasdair MacIntyre condemns modern politics, specifically liberalism and the institutions of the liberal state, as irredeemably fallen. His core argument is that the liberal state encourages a disempowering ‘compartmentalization’ of people’s everyday roles and activities that undermines the intersubjective conditions of human flourishing. MacIntyre’s alternative is an Aristotelian politics centred on the notion of “practice.” Defined by justice and solidarity, this politics can only be realized, he claims, within local communities which oppose and resist the dictates of the administrative state and capitalist market. Here it is argued that MacIntyre’s notion of “practice” represents a compelling ethical-political ideal. However, the belief that this ideal is best realized within local communities is rejected. In privileging local community, MacIntyre relies on a reductive view of modern states and overlooks the institutional conditions of a just polity. Against this, it is argued that a politics of human flourishing cannot succeed without an emancipatory transformation of large-scale, trans-communal institutions, in particular the state.

Non-linear conductance of disordered quantum wires

The self-consistent electron potential in a current-carrying disordered quantum wire is spatially inhomogeneous due to the formation of resistivity dipoles across scattering centres. In this paper it is argued that these inhomogeneities in the potential result in a suppression of the differential conductance of such a wire at finite applied voltage. A semi-classical argument allows this suppression, quadratic in the voltage, to be related directly to the amount of intrinsic defect scattering in the wire. This result is then tested against numerical calculations.

Defensio Prima and the Latin Poets

This chapter, in a prize-winning volume, examines ways in which Milton’s recourse to Latin poetry in Defensio Prima serves a much deeper purpose than that of merely illustrating or lending authority to his argument. Rather, it is argued, the defence engages with a variety of Latin intertexts (Plautus, Terence, Horace, Petronius), which in turn give birth to a range of dramatis personae, with whom Salmasius is ironically and somewhat kaleidoscopically equated. This methodology lends particular force to Milton’s rhetoric of invective whilst hopefully laying to rest the fallacy that his Latin prose writings were writing during a period of ‘poetic inactivity.’ For this is a prose work that is poetically as well as politically aware.

The Kitai criterion and backward shifts

It is proved that for any separable infinite dimensional Banach space X, there is a bounded linear operator T on X such that T satisfies the Kitai criterion. The proof is based on a quasisimilarity argument and on showing that I + T satisfies the Kitai criterion for certain backward weighted shifts T.

Non-weakly supercyclic operators

Several methods based on an easy geometric argument are provided to prove that a given operator is not weakly supercyclic. The methods apply to different kinds of operators like composition operators or bilateral weighted shifts. In particular, it is shown that the classical Volterra operator is not weakly supercyclic on any of the LP [0, 1] spaces, 1