Surreal encounters. Collecting the marvellous

Integration on Surreal Numbers

The thesis concerns the (class) structure No of Conway’s surreal numbers. The main concern is the behaviour on No of some of the classical functions of real analysis, and a definition of integral for such functions. In the main texts on No, most definitions and proofs are done by transfinite recursion and induction on the complexity of elements. In the thesis I consider a general scheme of defi...

Richardson's Marvellous Forecast

Recursive definitions on surreal numbers

Let No be Conway’s class of surreal numbers. I will make explicit the notion of a function f on No recursively defined over some family of functions. Under some ‘tameness’ and uniformity conditions, f must satisfy some interesting properties; in particular, the supremum of the class ̆ x ∈ No : f (x) ≥ 0 ̄ is actually an element of No. As an application, I will prove that concatenation function x ...

Colonial Collecting and Display: Encounters with Material Culture from the Andaman and Nicobar

museum sees its mission as extending beyond the Zambezi to all of Africa: “Museum Africa is not about revisionist African history written by biased Afrocentric writers . . . rather, it is a journey back to the glory years of the African continent’s past.” Byala does an admirable job of setting this history in terms of contemporary museological theory. Following Michel Foucault and Jacques Derri...

Freud's Aesthetics: Matriarchy, Sublimation and the Surreal

Sigmund Freud is only occasionally referenced as a theorist of art. Given his general theory however, its applicability can easily extend to art, and this was a significant part of his own writing. Aesthetics for Freud is a form of wish fulfilment. It is a way to deal with the struggle of the transition from the pleasure to the Reality Principle. This conversion lies at the root of much persona...