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.

The financial system reform in China: the lesson learnt from the global financial crisis

This paper reviews the impact of the global financial crisis on financial system reform in China. Scholars and practitioners have critically questioned the efficiencies of the Anglo- American principal-agent model of corporate governance which promotes shareholder-value maximisation. Should China continue to follow the U.K.-U.S. path in relation to financial reform? This conceptual paper provides an insightful review of the corporate governance literature, regulatory reports and news articles from the financial press. After examining the fundamental limitations of the laissez-faire philosophy that underpins the neo-liberal model of capitalism, the paper considers the risks in opening up China’s financial markets and relaxing monetary and fiscal policies. The paper outlines a critique of shareholder-capitalism in relation to the German team-production model of corporate governance, promoting a “social market economy” styled capitalism. Through such analysis, the paper explores numerous implications for China to consider in terms of developing a new and sustainable corporate governance model. China needs to follow its own financial reform through understanding its particular economy. The global financial crisis might help China rethink the nature of corporate governance, identify its weakness and assess the current reform agenda.

The theme that dare not speak its name: Geopolitik, geopolitics and German foreign policy since unification

The purpose of this chapter is to trace the emergence of a new security imaginary in the foreign policy discourse in Germany during the 1990s and to determine whether it constitutes a return of Geopolitik in German foreign policy making. Does the re- appearance of geopolitical terms and expressions in the official and the academic discourses in post-unification Germany indicate such a shift? The essay will argue that the claims about a return of Geopolitik cannot be sustained. To the extent that the rhetoric of German government officials changes during the 1990s, this does not produce a coherent geopolitical security imaginary that stands diametrically opposed to the definition of political and institutional spaces of the Bonner Republik.

(In)Complete acquisition of Turkish among Turkish German bilinguals in Germany and Turkey: an analysis of complex embeddings in narratives

Although most researchers recognise that the language repertoire of bilinguals canmvary, few studies have tried to address variation in bilingual competence in any detail. This study aims to take a first step towards further understanding the way in which bilingual competencies can vary at the level of syntax by comparing the use of syntactic embeddings among three different groups of Turkish�German bilinguals. The approach of the present paper is new in that different groups of bilinguals are compared with each other, and not only with monolingual speakers, as is common in most studies in the field. The analysis focuses on differences in the use of embeddings in Turkish, which are generally considered to be one of the more complex aspects of Turkish grammar. The study shows that young Turkish� German bilingual adults who were born and raised in Germany use fewer, and less complex embeddings than Turkish�German bilingual returnees who had lived in Turkey for eight years at the time of recording. The present study provides new insights in the nature of bilingual competence, as well as a new perspective on syntactic change in immigrant Turkish as spoken in Europe.

‘Warsaw Pact Military Doctrines in the 70s and 80s: Findings in the East German Archives’

This article draws on Warsaw Treaty Organisation and East German military archives to demonstrate that the WTO's military exercises until the mid-1990s always envisaged an offensive strategy with the aim of reaching the Channel in a few days. Only gradually did this change under Gorbachev and to include also defensive strategies, very much against the opposition of East Germany.