Conjecture, proof, and sense in Wittgenstein's philosophy of mathematics

One of the key tenets in Wittgenstein’s philosophy of mathematics is that a mathematical proposition gets its meaning from its proof. This seems to have the paradoxical consequence that a mathematical conjecture has no meaning, or at least not the same meaning that it will have once a proof has been found. Hence, it would appear that a conjecture can never be proven true: for what is proven true must ipso facto be a different proposition from what was only conjectured. Moreover, it would appear impossible that the same mathematical proposition be proven in different ways. — I will consider some of Wittgenstein’s remarks on these issues, and attempt to reconstruct his position in a way that makes it appear less paradoxical.

Military doctrine, command philosophy and the generation of fighting power: genesis and theory

Military doctrine is one of the conceptual components of war. Its raison d’être is that of a force multiplier. It enables a smaller force to take on and defeat a larger force in battle. This article’s departure point is the aphorism of Sir Julian Corbett, who described doctrine as ‘the soul of warfare’. The second dimension to creating a force multiplier effect is forging doctrine with an appropriate command philosophy. The challenge for commanders is how, in unique circumstances, to formulate, disseminate and apply an appropriate doctrine and combine it with a relevant command philosophy. This can only be achieved by policy-makers and senior commanders successfully answering the Clausewitzian question: what kind of conflict are they involved in? Once an answer has been provided, a synthesis of these two factors can be developed and applied. Doctrine has implications for all three levels of war. Tactically, doctrine does two things: first, it helps to create a tempo of operations; second, it develops a transitory quality that will produce operational effect, and ultimately facilitate the pursuit of strategic objectives. Its function is to provide both training and instruction. At the operational level instruction and understanding are critical functions. Third, at the strategic level it provides understanding and direction. Using John Gooch’s six components of doctrine, it will be argued that there is a lacunae in the theory of doctrine as these components can manifest themselves in very different ways at the three levels of war. They can in turn affect the transitory quality of tactical operations. Doctrine is pivotal to success in war. Without doctrine and the appropriate command philosophy military operations cannot be successfully concluded against an active and determined foe.

Globalizing Mediterranean identities: the overlapping spheres of Egyptian, Greek and Roman worlds at Trimithis

This article furthers recent gains made in applying globalization perspectives to the Roman world by exploring two Romano-Egyptian houses that used Roman material culture in different ways within the city known as Trimithis (modern day Amheida, in Egypt). In so doing, I suggest that concepts drawn from globalization theory will help us to disentangle and interpret how homogeneous Roman Mediterranean goods may appear heterogeneous on the local level. This theoretical vantage is broadly applicable to other regions in the Roman Mediterranean, as well as other environments in which individuals reflected a multifaceted relationship with their local identity and the broader social milieu.

Bilingual 'tagging' of financial accounts in Demotic and Greek

‘Bilingual’ documents, with text in both Demotic and Greek, can be of several sorts, ranging from complete translations of the same information (e.g. Ptolemaic decrees) to those where the information presented in the two languages is complementary (e.g. mummy labels). The texts discussed in this paper consist of a number of examples of financial records where a full account in one language (L1) is annotated with brief pieces of information in a second language (L2). These L2 ‘tags’ are designed to facilitate extraction of summary data at another level of the administration, functioning in a different language, and probably also to make the document accessible to those who are not literate in the L1.