On the Knowledge of God and the Metaphysics of Aquinas

Thomas Aquinas argues in his seminal work, the Summa Theologiae, that one can come to know the existence of God through rational argumentation alone. As a theologian writing a work of theology, he makes his demonstrations concerning God’s existence from the point of view of his Christian faith. And in this, it will be argued, Aquinas is not necessarily mistaken. For his project is to present a grand scheme of reality and man’s place within it. Philosophers have often tried the same, and, like Aquinas, their attempts have been made from a certain point of view. That, it will be shown, is the difference. This paper will present how Aquinas accounts for man’s ability to know generally and then metaphysically, but also how he reasonably presents his theses within the purview of his Christian faith

The essential ideal in group cohomology does not square to zero

Let G be the Sylow 2-subgroup of the unitary group $SU_3(4)$. We find two essential classes in the mod-2 cohomology ring of G whose product is nonzero. In fact, the product is the ``last survivor'' of Benson-Carlson duality. Recent work of Pakianathan and Yalcin then implies a result about connected graphs with an action of G. Also, there exist essential classes which cannot be written as sums of transfers from proper subgroups. This phenomenon was first observed on the computer. The argument given here uses the elegant calculation by J. Clark, with minor corrections.Comment: 9 pages; three typos corrected, one was particularly confusin

On Roth's theorem on progressions

We show that if A is a subset of {1,...,N} contains no non-trivial three-term arithmetic progressions then |A|=O(N/ log^{1-o(1)} N). The approach is somewhat different from that used in arXiv:1007.5444.Comment: 16 pp. Corrected the proof of the Croot-Sisask Lemma. Corrected typos. Updated reference

Learning, Continuity and Change in Adult Life [Wider Benefits of Learning Research Report No. 3]

This report presents results from extensive fieldwork carried out by the Wider Benefits of Learning research team. It presents an original analytical framework developed specifically for this study, combined with empirical results from 140 in-depth biographical interviews in three different areas of England. The interviews explore the way learning affects people’s health and well-being; their family lives; and their engagement in civic activity. The report addresses these effects at both an individual and collective level. It concludes with a set of significant policy implications

Public access to the countryside: An exploration of the costs and benefits of farmland walking trails

To date, estimates of individuals’ willingness to pay (WTP) for access to the countryside have typically been on sites of special interest such as developed walking routes, public rights of way in specific areas, national parks and forests (see Lockwood and Tracy, 1995; Bennett and Tranter, 1997; Crabtree and MacDonald, 1997; Liston-Heyes and Heyes, 1999; Garrod et al., 1998; Bennett et al., 2003; Buckley et al., 2009; Morris et al., 2009). There has been little if any attempt to derive estimates of individuals’ WTP for the provision of walking trails in the wider countryside at a national level. The present study aims to build on previous work by examining the demand for particular types of walking trails through a nationally representative survey of the Irish population. One further advantage of this research is that apart from valuing walking activities in a generic sense this paper investigates what types of investment in facilities associated with walking trails generate the greatest welfare gains. Furthermore, using a nationally representative survey of the farming population this paper examines farmers’ willingness to participate in a hypothetical walking scheme whereby the general public will be allowed access to specific trails. First by way of background this paper will discuss the situation in relation to access rights to the countryside across a number of countries. Second this paper will outline the research approach which is followed with a discussion of the empirical results. Finally this paper will conclude with a discussion of the papers main findings and their implications for the provision of public access to the countryside.This work was funded by the Department of Agriculture, Fisheries and Food under the Stimulus Funding