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2605 results in Cambridge Elements

Page 62 of 131

Mathematical Rigour and Informal Proof

Mathematical Rigour and Informal Proof
  • Fenner Stanley Tanswell
  • Published online:
    01 March 2024
    Print publication:
    28 March 2024
  • This Element looks at the contemporary debate on the nature of mathematical rigour and informal proofs as found in mathematical practice. The central argument is for rigour pluralism: that multiple different models of informal proof are good at accounting for different features and functions of the concept of rigour. To illustrate this pluralism, the Element surveys some of the main options in the literature: the 'standard view' that rigour is just formal, logical rigour; the models of proofs as arguments and dialogues; the recipe model of proofs as guiding actions and activities; and the idea of mathematical rigour as an intellectual virtue. The strengths and weaknesses of each are assessed, thereby providing an accessible and empirically-informed introduction to the key issues and ideas found in the current discussion.
Wittgenstein and Russell

Wittgenstein and Russell
  • Sanford Shieh
  • Published online:
    29 February 2024
    Print publication:
    28 March 2024
  • Responding to Russell is a constant throughout Wittgenstein's philosophizing. This Element focuses on Wittgenstein's criticisms of Russell's theories of judgment in the summer of 1913. Wittgenstein's response to these criticisms is of first-rate importance for his early philosophical development, setting the path to the conceptions of proposition and of logic in Tractatus Logico-Philosophicus. This Element also touches on further aspects of Wittgenstein's responses to Russell: the rejection of Russell's and Frege's logicisms in the Tractatus, the critique of Russell's causal-behavioristic philosophy of mind in Wittgenstein's 'middle' period, the Russellian origins of notions of privacy dialectically treated in Philosophical Investigations, and the discussion of 'surveyability' of mathematical proof in Remarks on the Foundations of Mathematics, which is, again, a response to Russellian logicism.
Representing Variability

Representing Variability
  • How Do We Process the Heterogeneity in the Visual Environment?
  • Andrey Chetverikov, Árni Kristjánsson
  • Published online:
    28 February 2024
    Print publication:
    21 March 2024
  • The visual world is full of detail. This Element focuses on this variability in perception, asking how it affects performance in visual tasks and how the variability is represented by human observers. The authors highlight different methods for assessing representations of variability and suggest that understanding visual variability can be elusive when straightforward explicit methods are used, while more implicit methods may be better suited to uncovering such processing. The authors conclude that variability is represented in far more detail than previously thought and that this aspect of perception is vital for understanding the complexity of visual consciousness.
Multiple Streams and Policy Ambiguity

Multiple Streams and Policy Ambiguity
  • Rob A. DeLeo, Reimut Zohlnhöfer, Nikolaos Zahariadis
  • Published online:
    28 February 2024
    Print publication:
    21 March 2024
  • The last decade has seen a proliferation of research bolstering the theoretical and methodological rigor of the Multiple Streams Framework (MSF), one of the most prolific theories of agenda-setting and policy change. This Element sets out to address some of the most prominent criticisms of the theory, including the lack of empirical research and the inconsistent operationalization of key concepts, by developing the first comprehensive guide for conducting MSF research. It begins by introducing the MSF, including key theoretical constructs and hypotheses. It then presents the most important theoretical extensions of the framework and articulates a series of best practices for operationalizing, measuring, and analyzing MSF concepts. It closes by exploring existing gaps in MSF research and articulating fruitful areas of future research.
The Many Faces of Impossibility

The Many Faces of Impossibility
  • Koji Tanaka, Alexander Sandgren
  • Published online:
    28 February 2024
    Print publication:
    28 March 2024
  • Possible worlds have revolutionised philosophy and some related fields. But, in recent years, tools based on possible worlds have been found to be limited in many respects. Impossible worlds have been introduced to overcome these limitations. This Element aims to raise and answer the neglected question of what is characteristically impossible about impossible worlds. The Element sheds new light on the nature of impossible worlds. It also aims to analyse the main features and utility of impossible worlds and examine how impossible worlds can capture distinctions which are unavailable if we limit ourselves to possible world-based tools.
Senses of Space in the Early Modern World

Senses of Space in the Early Modern World
  • Nicholas Terpstra
  • Published online:
    28 February 2024
    Print publication:
    28 March 2024
    • Element
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  • How did early moderns experience sense and space? How did the expanding cultural, political, and social horizons of the period emerge out of those experiences and further shape them  This Element takes an approach that is both global expansive and locally rooted by focusing on four cities as key examples: Florence, Amsterdam, Boston, and Manila. They relate to distinct parts of European cultural and colonialist experience from north to south, republican to monarchical, Catholic to Protestant. Without attempting a comprehensive treatment, the Element aims to convey the range of distinct experiences of space and sense as these varied by age, gender, race, and class. Readers see how sensory and spatial experiences emerged through religious cultures which were themselves shaped by temporal rhythms, and how sound and movement expressed gathering economic and political forces in an emerging global order. This title is also available as Open Access on Cambridge Core.
The Bell Beaker Phenomenon in Europe

The Bell Beaker Phenomenon in Europe
  • A Harmony of Difference
  • Marc Vander Linden
  • Published online:
    28 February 2024
    Print publication:
    21 March 2024
    • Element
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  • Covering vast swathes of Europe, the Bell Beaker Phenomenon has enjoyed a privileged status in the history of archaeology and is often referred to as a key period in the transition from the Neolithic to the Bronze Age partly due to the emergence of social élites. After a brief presentation of the historiography of the Bell Beaker phenomenon, this Element offers a synthetic account of the available evidence structured on a regional basis. Following the renewed interest in human mobility generated by stable isotopes and ancient DNA studies, the central thesis developed here is that the Bell Beaker Phenomenon can adequately be described as a metapopulation, a concept borrowed from population ecology. This title is also available as Open Access on Cambridge Core.
The Selection and Tenure of Foreign Ministers Around the World

The Selection and Tenure of Foreign Ministers Around the World
  • Hanna Bäck, Alejandro Quiroz Flores, Jan Teorell
  • Published online:
    27 February 2024
    Print publication:
    21 March 2024
  • Foreign ministers are prominent actors in foreign affairs, often second only to heads of government in their influence. Yet, despite the growing awareness of the importance of key actors, and their backgrounds, in the study of international relations, foreign ministers remain understudied. In this Element, we make an important empirical contribution by presenting an original dataset on the personal and professional background of foreign ministers, spanning thirteen countries and more than 200 years. We use these data to answer three questions: who are the foreign ministers, why are foreign ministers with particular features appointed, and why do some foreign ministers have longer tenure than others? We find that foreign ministers tend to be men of politics who are appointed both on the basis of their affinity to, and to complement the experiences of, the head of government. We also find that foreign ministers stay longer in office when they perform well or are expected to do so, but that they are more likely to lose their posts when conditions make heads of government more prone to 'pin blame' on them to deflect criticism from foreign policy failures.
Neurolaw

Neurolaw
  • Gregg D. Caruso
  • Published online:
    27 February 2024
    Print publication:
    21 March 2024
  • Neurolaw is an area of interdisciplinary research on the meaning and implications of neuroscience for the law and legal practices. This Element addresses the potential contributions of neuroscience, and the brain sciences more generally, to criminal justice decision-making and policy. It distinguishes between three different areas and domains of investigation in neurolaw: assessment, intervention, and revision. The first concerns brain-based assessments, which may be used for predicting future violence, lie detection, judging legal insanity, and the like. The second concerns potential treatments and other interventions that aim at rehabilitating criminals and/or preventing crime before it occurs. The third investigates the ways that neuroscience may impact the law by changing or revising commonsense views about human nature and the causes of human action.
Statistical Process Control

Statistical Process Control
  • Mohammed Amin Mohammed
  • Published online:
    27 February 2024
    Print publication:
    28 March 2024
    • Element
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  • Statistical process control methodology was developed by Walter Shewhart in the 1920s as part of his work on quality control in industry. Shewhart observed that quality is about hitting target specifications with minimum variation. While every process is subject to variation, that variation can arise from 'common cause' variation, inherent in the process, or 'special cause' variation which operates from outside of that process. This distinction is crucial because the remedial actions are fundamentally different. Reducing common cause variation requires action to change the process; special cause variation can only be addressed if the external cause is identified. Statistical process control methodology seeks to distinguish between the two causes of variation to guide improvement efforts. Using case studies, this Element shows that statistical process control methodology is widely used in healthcare because it offers an intuitive, practical, and robust approach to supporting efforts to monitor and improve healthcare. This title is also available as Open Access on Cambridge Core.
Extended Reality Shakespeare

Extended Reality Shakespeare
  • Aneta Mancewicz
  • Published online:
    26 February 2024
    Print publication:
    06 June 2024
  • This Element argues for the importance of extended reality as an innovative force that changes the understanding of theatre and Shakespeare. It shows how the inclusion of augmented and virtual realities in performance can reconfigure the senses of the experiencers, enabling them to engage with technology actively. Such engagements can, in turn, result in new forms of presence, embodiment, eventfulness, and interaction. In drawing on Shakespeare's dramas as source material, this Element recognises the growing practice of staging them in an extended reality mode, and their potential to advance the development of extended reality. Given Shakespeare's emphasis on metatheatre, his works can inspire the layering of environments and the experiences of transition between the environments both features that distinguish extended reality. The author's examination of selected works in this Element unveils creative convergences between Shakespeare's dramaturgy and digital technology.
Mobile Banking and Access to Public Services in Bangladesh

Mobile Banking and Access to Public Services in Bangladesh
  • Influencing Issues and Factors
  • M. Kabir Hassan, Jannatul Ferdous, Hasanul Banna
  • Published online:
    26 February 2024
    Print publication:
    21 March 2024
  • This Element examines the role of mobile banking in accessing public services in Bangladesh. It also identifies the key influencing factors and challenges in accessing public services through mobile banking and suggests policy measures to overcome these challenges. Based on a survey of 300 people, the study finds that mobile banking facilitates access to public services, which is beneficial and effective for both rural and urban users, as technology can increase the quality of work. Despite the benefits, some individuals are reluctant to use the service due to high transaction costs and a lack of digital literacy.
Philosophy of Physical Magnitudes

Philosophy of Physical Magnitudes
  • Niels C. M. Martens
  • Published online:
    26 February 2024
    Print publication:
    04 April 2024
  • Dimensional quantities such as length, mass and charge, i.e., numbers combined with a conventional unit, are essential components of theories in the sciences, especially physics, chemistry and biology. Do they represent a world with absolute physical magnitudes, or are they merely magnitude ratios in disguise? Would we notice a difference if all the distances or charges in the world suddenly doubled? These central questions of this Element are illustrated by imagining how one would convey the meaning of a kilogram to aliens if one were only allowed to communicate via Morse code.
A Performance History of The Fair Penitent

A Performance History of The Fair Penitent
  • Elaine McGirr
  • Published online:
    26 February 2024
    Print publication:
    21 March 2024
  • Theatre is the most ephemeral of art forms. It is a truism that the ephemeral performance text is divorced from the static published play text. This Element is of the eighteenth-century performance history of The Fair Penitent demonstrates the interrelation of print and performance and models how readers can recover elements of performance through close attention to text. Traces of performance adhere to the mediascape in playbills and puffs, reviews and accounts. The printed text also preserves traces of performance in notation and illustration. By analysing traces found in performance trends, casting decisions, publication histories and repertory intertexts, this Element recovers how The Fair Penitent was interpreted at different points in the century and explains how a play that bombed in its first season could become a repertory staple.
African Philosophy of Religion and Western Monotheism

African Philosophy of Religion and Western Monotheism
  • Kirk Lougheed, Motsamai Molefe, Thaddeus Metz
  • Published online:
    26 February 2024
    Print publication:
    28 March 2024
  • The Abrahamic faiths of Christianity, Judaism, and Islam are typically recognized as the world's major monotheistic religions. However, African Traditional Religion is, despite often including lesser spirits and gods, a monotheistic religion with numerous adherents in sub-Saharan Africa; it includes the idea of a single most powerful God responsible for the creation and sustenance of everything else. This Element focuses on drawing attention to this major world religion that has been much neglected by scholars around the globe, particularly those working in the West or Northern Hemisphere. It accomplishes this primarily by bringing it into conversation with topics in the Anglo-American philosophy of religion.
Legal Categorization of 'Transgender'

Legal Categorization of 'Transgender'
  • An Analysis of Statutory Interpretation of 'Sex', 'Man', and 'Woman' in Transgender Jurisprudence
  • Kimberly Tao
  • Published online:
    23 February 2024
    Print publication:
    21 March 2024
  • This Element analyzes the foundational frame of legal reasoning when courts interpret the 'plain language' and 'ordinary meaning' of terms such as 'sex', 'man' and 'woman'. There is a rich and complicated line of cases on how to define these terms and how to legally categorize transgender people. When dealing with different legal issues, judges need to give a clear 'yes' or 'no', determinate answer to a legal question. Marginal categorizations could be problematic even for experts. It analyses nine decisions that relate to transgender people's workplace protection under Title VII in United States and the right to marry in United Kingdom and Hong Kong. It brings in a historical discussion of the development of interpretative practices of law and legal categorization of transgender individuals across past decades, drawing on the intricate relationship between time and statutory interpretation.
God, Religious Extremism and Violence

God, Religious Extremism and Violence
  • Matthew Rowley
  • Published online:
    22 February 2024
    Print publication:
    21 March 2024
  • Why do religious militants think their actions are right or righteous? What keeps me from acting like them? Why do some religious persons act on their beliefs in charitable, inspiring and deeply humane ways? Is secularism the solution to religious violence, or is it part of the problem? This Element explores the vexed issue of violence done in the name of God, looking at the topic through the lens of peace and conflict studies, religious studies and historical studies. The beliefs of various communities, religious and secular, are explored, looking at how convictions inhibit and enable violence. This Element aims to foster a deeper and more nuanced understanding of the promises and perils of religion so that readers can better respond to a world filled with violence.
The Last Man and Gothic Sympathy

The Last Man and Gothic Sympathy
  • Michael Cameron
  • Published online:
    22 February 2024
    Print publication:
    28 March 2024
  • This Element explores the theme of 'Gothic sympathy' as it appears in a collection of 'Last Man' novels. A liminal site of both possibility and irreconcilability, Gothic sympathy at once challenges the anthropocentric bias of traditional notions of sympathetic concern, premising compassionate relations with other beings – animal, vegetal, etc. – beyond the standard measure of the liberal-humanist subject, and at the same time acknowledges the horror that is the ineluctable and untranslatable otherness accompanying, interrupting, and shaping such a sympathetic connection. Many examples of 'Last Man' fiction explore the dialectical impasse of Gothic sympathy by dramatizing complicated relationships between a lone liberal-humanist subject and other-than-human or posthuman subjects that will persist beyond humanity's extinction. Such confrontations as they appear in Mary Shelley's The Last Man, H.G. Wells's The Time Machine, and Richard Matheson's I Am Legend will be explored.
Open Theism

Open Theism
  • Alan R. Rhoda
  • Published online:
    22 February 2024
    Print publication:
    21 March 2024
  • This Element shows Open theism as a monotheist model of God according to which the future is objectively open-ended, not just from the finite perspective of creation, but from God's perspective as well. This Element has three main sections. The first carefully defines open theism, distinguishes its major variants, compares it to other monotheistic models, and summarizes its history. The second develops biblical and philosophical arguments for open theism against its main rivals, emphasizing a novel philosophical argument that a causally open future must also be ontically, alethically, epistemically, and providentially open as well. The third responds to common objections against open theism related to perfect being theology, the ethics of risk-taking, biblical prophecy, and theological tradition.
Philosophical, Medical, and Legal Controversies About Brain Death

Philosophical, Medical, and Legal Controversies About Brain Death
  • L. Syd M Johnson
  • Published online:
    22 February 2024
    Print publication:
    21 March 2024
  • This Element considers current legal, ethical, metaphysical, and medical controversies concerning brain death. It examines the implicit metaphysical and moral commitments and dualism implied by neurological criteria for death. When these commitments and worldview are not shared by patients and surrogates, they give rise to distrust in healthcare providers and systems, and to injustice, particularly when medicolegal definitions of death are coercively imposed on those who reject them. Ethical obligations to respect persons and patient autonomy, promote patient-centered care, foster and maintain trust, and respond to the demands of justice provide compelling ethical reasons for recognizing reasonable objections. Each section illustrates how seemingly academic debates about brain death have real, on-the-ground implications for patients and their families.

Page 62 of 131