The overall aim of this thesis is to assess the legitimacy of constitutional laws and bills of rights within the framework of procedural epistemic democracy. The thesis is divided into three sections. In the first section, I discuss the relevance of an epistemic argument for democracy under the circumstances of politics: I provide an account of reasonable disagreement and explain how usual approaches to the authority of decision-making procedures fail to take it seriously. In the second part of the thesis, I provide an account of the epistemic features of democracy and of the requirements of democratic legitimacy. I develop a revised pragmatist argument for democracy which relies on three presumptive aims of decision-making: justice, sustainability and concord. In the third and last section, I first argue for the desirability of constitutionalism. I then explain why constitutionalism, as it is usually understood, is incompatible with my procedural epistemic account of democratic legitimacy. In the last chapter, I offer a two-pronged solution to the apparent incompatibility of constitutionalism and epistemic democracy. I first argue for the appropriateness of political constitutionalism, as opposed to legal constitutionalism, in understanding the relationship between rights and democracy. I then provide an account of rights protection and judicial review compatible with epistemic democratic legitimacy. Finally, I use the notion of pragmatic encroachment to explain how constitutional laws can achieve normative supremacy through the increased epistemic credentials of the procedure.

Vlasov-Maxwell equilibria are characterised by the self-consistent descriptions of the steady-states of collisionless plasmas in particle phase-space, and balanced macroscopic forces. We study the theory of Vlasov-Maxwell equilibria in one spatial dimension, as well as its application to current sheet and flux tube models. The ‘inverse problem' is that of determining a Vlasov-Maxwell equilibrium distribution function self-consistent with a given magnetic field. We develop the theory of inversion using expansions in Hermite polynomial functions of the canonical momenta. Sufficient conditions for the convergence of a Hermite expansion are found, given a pressure tensor. For large classes of DFs, we prove that non-negativity of the distribution function is contingent on the magnetisation of the plasma, and make conjectures for all classes. The inverse problem is considered for nonlinear ‘force-free Harris sheets'. By applying the Hermite method, we construct new models that can describe sub-unity values of the plasma beta (βpl) for the first time. Whilst analytical convergence is proven for all βpl, numerical convergence is attained for βpl = 0.85, and then βpl = 0.05 after a ‘re-gauging' process. We consider the properties that a pressure tensor must satisfy to be consistent with ‘asymmetric Harris sheets', and construct new examples. It is possible to analytically solve the inverse problem in some cases, but others must be tackled numerically. We present new exact Vlasov-Maxwell equilibria for asymmetric current sheets, which can be written as a sum of shifted Maxwellian distributions. This is ideal for implementations in particle-in-cell simulations. We study the correspondence between the microscopic and macroscopic descriptions of equilibrium in cylindrical geometry, and then attempt to find Vlasov-Maxwell equilibria for the nonlinear force-free ‘Gold-Hoyle' model. However, it is necessary to include a background field, which can be arbitrarily weak if desired. The equilibrium can be electrically non-neutral, depending on the bulk flows.