Random Tilings: Concepts and Examples

We introduce a concept for random tilings which, comprising the conventional one, is also applicable to tiling ensembles without height representation. In particular, we focus on the random tiling entropy as a function of the tile densities. In this context, and under rather mild assumptions, we prove a generalization of the first random tiling hypothesis which connects the maximum of the entropy with the symmetry of the ensemble. Explicit examples are obtained through the re-interpretation of several exactly solvable models. This also leads to a counterexample to the analogue of the second random tiling hypothesis about the form of the entropy function near its maximum.Comment: 32 pages, 42 eps-figures, Latex2e updated version, minor grammatical change

Institutionalising Kant's political philosophy: Foregrounding cosmopolitan right

There exists a longstanding debate over the global institutional implications of Immanuel Kant's political philosophy: does such a philosophy entail a federal world government, or instead only a confederal ‘league of nations’? However, while the systematic nature of Kant's tripartite ‘doctrine of right' is well recognised, this debate has been conducted with all but exclusive focus on ‘international right' in particular. This article, by contrast, brings ‘cosmopolitan right' firmly into view. It proceeds by way of engagement with the two Kantian arguments made in defence of a ‘league of nations’ in discussion of international right, each of which appeals to aspects of states’ supposed ‘personhood’: the first appeals to states’ distinctive moral personality; the second to states’ physical manifestation. The article considers what happens when we assess these arguments not just in light of the demands of international right, but also in light of cosmopolitan right, and thus in light of public right more comprehensively. The answer is that such arguments cannot succeed as full defences of a league of nations. Indeed, when we assess such arguments with cosmopolitan right in view, they point instead – either tentatively or definitively – in the direction of world government

Legitimacy intermediation in the multilevel European polity and its collapse in the euro crisis

This essay re-examines the dual – republican and liberal – foundations of democratic legitimacy in the Western traditions of normative political theory. Considered in isolation, the European Union conforms to liberal standards but cannot satisfy republican criteria. Given these conflicting standards, debates on the alleged European democratic deficit have remained inconclusive. Moreover, they have failed to pay sufficient attention to the multilevel character of the European polity and to the normative potential of legitimacy intermediation in its two-step compliance and legitimating relationships. I argue, however, that the capacity of democratic member states to legitimate the exercise of European governing functions is being destroyed in the present euro crisis, and I briefly discuss the implications of this new constellation.In der westlichen Tradition der normativen politischen Theorie beruht demokratische Legitimität auf der doppelten Grundlage republikanischer und liberaler Prinzipien. Für sich betrachtet entspricht die Europäische Union zwar liberalen Kriterien, aber eben nicht den republikanischen Anforderungen. Angesichts so unterschiedlicher Kriterien konnte es auch im Streit über das angebliche europäische Demokratiedefizit keine Einigung geben. Überdies ignorierte diese Diskussion den Mehrebenen-Charakter der europäischen Politik und das normative Potenzial der Legitimationsvermittlung zwischen Union und Bürgern durch die demokratisch verfassten Mitgliedstaaten. Die gegenwärtige Eurokrise allerdings zerstört die Fähigkeit demokratischer Mitgliedstaaten, die Ausübung europäischer Herrschaftsfunktionen zu legitimieren. Der Aufsatz erörtert die Implikationen dieser neuen Konstellation.1 Introduction 2 Legitimacy discourses The republican discourse The liberal discourse Differences 3 Constitutional democracies – and the European Union? 4 Legitimacy intermediation in the multilevel European polity 5 The end of legitimacy intermediation in the euro crisis Monetary Union and the failure of output legitimacy Rescuing the euro through supranational intervention 6 Legitimate supranational government? Input-oriented European legitimacy? 7 Reducing the burden on European legitimacy Reference

Das Unternehmen einer Grundlegung zur Metaphysik der Sitten

Bittner R. Das Unternehmen einer Grundlegung zur Metaphysik der Sitten. In: Höffe O, ed. Grundlegung zur Metaphysik der Sitten: ein kooperativer Kommentar. Frankfurt, Main: Klostermann; 1989: 13-30