We study structures on the fields of characteristic zero obtained by introducing operations of raising to power. Using Hrushovski–Fraisse construction we single out among the structures exponentially-algebraically closed once and prove, under certain Diophantine conjecture, that the first order theory of such structures is model complete and every its completion is superstable.

As I had rejected en bloc references to Bacchanalia as indications of date, it was a mere chance which led me, after the above had left my hands, to look up Cas. 980 ‘ nunc Bacchae nullae ludunt,’ quoted in Schanz, R. Lit.3, p. 78. As this affords an excellent opportunity of testing my conclusions, perhaps a word or two will not be out of place.

The problem of finding irreducible representations of a simple Lie group that decompose into just pure replications of a representation of a subgroup is considered. Replications involving tensor representations of the orthogonal groups are studied in detail using counting groups whose representation dimensions correspond to branching multiplicities. Replications involving spinor and mixed tensor representations are briefly considered.

Apparently objective and value-free `scientific' assessments of health risks are often highly value-laden and incorporate contentious social assumptions. Mr Wynne exposes some of the complexities underlying attempts to compare the health risks of nuclear and other sources of energy.

The late John Burrow, one of the most stimulating promoters of the distinctively interdisciplinary enterprise that is Intellectual History, was a vital member of what has become known as the ‘Sussex School’. In exploring the resonances of his singular and richly idiosyncratic contribution, this article places his unique historical sensibility within a series of interpretative contexts, demonstrating the vitality of writings that will continue to inspire and inform scholarship in the field for decades to come. ☆ The Sussex Centre for (...) Intellectual History Lecture delivered at the University of Sussex on 21st October, 2010. I am deeply indebted to Noël Sugimura for reading and commenting on an earlier version of the present essay with her customary sense and sensibility. (shrink)

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