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Chapter 6 on Separation of Powers offers a comprehensive exploration of how the balance of power between the judiciary and other branches of government plays out in climate litigation. The authors critically analyse key cases where these doctrines have been invoked, shedding light on how these doctrines shape the courts’ approach to climate cases. They underscore the significant variation in how this issue is dealt with across jurisdictions, acknowledging the diversity of constitutional and legal frameworks globally. Despite this diversity, the authors distil an emerging best practice where courts are increasingly recognising their crucial role in safeguarding fundamental rights and constitutional values in the context of climate change. This recognition is not a one-directional or universal trend but a nuanced evolution detectable across various jurisdictions and legal systems.
The chapter examines the changing urban landscape of the western Roman Empire and its successor states from approximately 300 to 600. It explores how cities evolved in response to shifting political, economic and social conditions, analysing archaeological evidence and urban-planning trends. The chapter begins with an overview of recent developments in the field and outlines the diverse trajectories of urban centres across the region. Of central importance is the gradual transition from classical urbanism to post-classical forms, marked by the loss and reuse of monumental structures, the fortification of cities and the adaptation of existing infrastructure. Rather than depicting urban change as a straightforward decline, the chapter argues that cities underwent complex transformations, with some centres experiencing contraction while others remained vibrant. It also illustrates how elite participation, religious shifts and administrative restructuring influenced the built environment. Furthermore, attention is given to the role of city walls, which were expanded or reinforced to accommodate new defensive needs. The reuse of materials, including spolia, became a defining feature of late antique architecture. By integrating textual and material evidence, the chapter provides a nuanced perspective on how cities adapted to the challenges of Late Antiquity, maintaining their significance despite profound structural changes.
This overview discusses the development of the catacombs of Rome, focusing on their architectural evolution and their role in Christian burial practices. Tracing the transformation of subterranean cemeteries from the late second to the fourth century, it argues that the catacombs were distinct from contemporary pagan hypogea. Unlike their pagan counterparts, Christian catacombs featured vast networks of interconnected tunnels, a structured layout designed for expansion, and an intensive use of subterranean space. A defining characteristic of these burial sites was the deliberate placement of tombs near those of martyrs, which in turn became focal points for pilgrimage and veneration. The Callixtus catacomb exemplifies this trend, as it was developed with carefully planned access points and designated areas for noble burials. The chapter also challenges earlier assumptions that pagans continued to use catacombs extensively after the legalisation of Christianity. Instead, it argues that these spaces became increasingly exclusive to Christian communities, serving as both burial grounds and sacred spaces that reinforced communal identity and the cult of the martyrs.
Conservatives claim that taxes in America are too high. Cross-national data and historical data from the United States raise serious doubts about this claim. As a percentage of GDP, the tax burden in America is low compared with many other advanced capitalist countries. Tax rates for individuals and corporations in America are also comparatively low. Yet conservatives have long complained that taxes in America are too high regardless of historical fluctuations in the tax burden and tax rates, and regardless of economic and geopolitical circumstances. Nowadays, about half of Americans believe that their own taxes are too high. Yet the overwhelming majority feel that taxes on corporations and the rich are too low and that they should be paying more, not less in taxes. Republicans and especially wealthy Republicans are the most likely to be concerned that taxes on corporations and the affluent are too high.
The increasing acceptance of marquee “liberal” doctrines such as liberty of conscience, limited government, and universal adult suffrage occurred mainly during a period in which social contract theory was dormant and other philosophies – Hegelianism, Marxism, and utilitarianism –largely prevailed in the West. If Rawls’s social contract apparatus can deliver something beyond mere “yea-saying” to the liberal consensus, one could confidently say that contract doctrine has helped. Substantive political equality might be that something, but its delivery is still contested.
This textbook is meant for first-year undergraduates majoring in mathematics or disciplines where formal mathematics is important. It will help students to make a smooth transition from high school to undergraduate differential calculus. Beginning with limits and continuity, the book proceeds to discuss derivatives, tangents and normals, maxima and minima, and mean value theorems. It also discusses indeterminate forms, functions of several variables, and partial differentiation. The book ends with a coverage of curvature, asymptotes, singular points, and curve tracing. Concepts are first presented and explained in an informal, intuitive, and conceptual style. They are then covered in the form of a conventional definition, theorem, or proof. Each concept concludes with at least one solved example. Additional solved examples are also provided under the section "More Solved Examples". Practice numerical exercises are included in the chapters so that students can apply the concepts learnt and sharpen their problem-solving skills.
Chapter 9 examines the principle of the duty of care in the context of climate litigation. The authors explore how this principle has been invoked in a growing range of jurisdictions, in different ways, to hold governments and corporations accountable for their respective contributions to climate change. By analysing judicial decisions in prominent cases such as Urgenda and Milieudefensie in the Netherlands, Neubauer in Germany, and Notre Affaire à Tous in France, the authors explore the potential of the duty of care principle to compel more ambitious climate action in pending and future cases. The emerging best practice they identify suggests a growing willingness of courts to recognise a duty of care for governments and corporations towards citizens in relation to climate change.
This chapter explores the spread of Christianity in Late Antiquity, focusing on archaeological evidence and methodological challenges in tracing its expansion. It examines how Christianity transitioned from a marginalised faith to an institutionalised religion, emphasising regional differences in its adoption across the Mediterranean and beyond. The chapter discusses a variety of materials, including early Christian inscriptions, artefacts, funerary practices and architectural remains such as churches, baptisteries and monasteries. Sites like the house church at Dura Europos and early Christian catacombs provide crucial insights into the religion’s early development. The study also highlights the role of missionary activity and the influence of state policies, particularly after Constantine’s legalisation of Christianity in the fourth century. A major argument is that Christianity spread unevenly, with urban centres adopting it earlier than rural areas. The transition was not uniform, as some regions experienced periods of resistance or syncretism with existing religious traditions. The chapter underscores the difficulty of identifying Christian material culture due to the overlap with pagan symbols. The chapter rounds off by calling for a more critical approach to interpreting archaeological evidence and suggests that future research should focus on regional case studies to refine our understanding of Christianity’s complex expansion.