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The moral inquiry into the nature of justice is often marginalized,
as contemporary discussions focus primarily on political
considerations. Yet, the need to examine the moral framework of
justice is fundamental. What is the point of justice, after all, if
not to establish a moral framework for political interactions? The
question resonates especially when recognizing that no monocultures
exist over time and space. In examining Plato's thoughts on
individual and social morality (dikaiosune) and Aristotle's focus
on individual virtue (arete) and the pursuit of well-being
(eudaimonia), the author proffers foundational resources for
today's discussions of justice. Moreover, he brings this nexus of
thought into conversation with theories that have emerged over the
centuries, such as Kant's concept of due concern and respect,
individual rights and responsibilities as in Hobbes, Locke and J.S.
Mill. Thus, he engages contemporary disputes of justice including
distributive vs. relational schemes, choice vs. chance
considerations, group rights theories, value pluralism, the right
vs. the good, as well as international and future justice. His
inquiry concludes with the provision of a deontological framework
set against a liberal political context, justice as right actions,
for further examination of questions of justice.
Justice as Right Actions presents an original theory of justice
anchored in the analytical philosophical tradition. In contrast to
many contemporary approaches, the theory provides normative
guidance, rather than focusing solely on political structures and
institutions, as the question of justice is seen to comprise both a
moral inquiry concerned with questions of good and bad, right and
wrong, and a political inquiry, concerned with the nature of the
polity and how individuals relate to it. Presenting a relational
account of justice, rather than a distributive account - the
latter, so much more prevalent in current studies - communications
are seen as the key to the theory, both in the substantive sense as
a discursive method of resolving disputes, as well as
instrumentally, in the transmission of concepts, especially values
through time. Rule-oriented in approach, justice as right actions
attempts to be value-neutral, acknowledging, however, an underlying
thin theory of the good, including concepts of rationality,
autonomous moral agency, equal concern and respect for others, as
well as plurality of values. Its political context is liberalism,
with components of negative liberty and equality of concern and
respect, while underscoring as well, the concepts of tolerance and
social diversity. In this study, the original theory of Justice as
Right Actions is also contrasted with and situated among
contemporary accounts of justice, including the most important
theoretical works on the topic in the past half-century. Thus, the
study also serves as a valuable review and critique of such major
contemporary accounts of justice.
The concept of phase space plays a decisive role in the study of
the transition from classical to quantum physics. This is
particularly the case in areas such as nonlinear dynamics and
chaos, geometric quantization and the study of the various
semi-classical theories, which are the setting of the present
volume. Much of the content is devoted to the study of the Wigner
distribution. This volume gives the first complete survey of the
progress made by both mathematicians and physicists. It will serve
as an excellent reference for further research.
This book explains the Lorentz mathematical group in a language
familiar to physicists. While the three-dimensional rotation group
is one of the standard mathematical tools in physics, the Lorentz
group of the four-dimensional Minkowski space is still very strange
to most present-day physicists. It plays an essential role in
understanding particles moving at close to light speed and is
becoming the essential language for quantum optics, classical
optics, and information science. The book is based on papers and
books published by the authors on the representations of the
Lorentz group based on harmonic oscillators and their applications
to high-energy physics and to Wigner functions applicable to
quantum optics. It also covers the two-by-two representations of
the Lorentz group applicable to ray optics, including cavity,
multilayer and lens optics, as well as representations of the
Lorentz group applicable to Stokes parameters and the Poincar
sphere on polarization optics.
This book explains the Lorentz mathematical group in a language
familiar to physicists. While the three-dimensional rotation group
is one of the standard mathematical tools in physics, the Lorentz
group of the four-dimensional Minkowski space is still very strange
to most present-day physicists. It plays an essential role in
understanding particles moving at close to light speed and is
becoming the essential language for quantum optics, classical
optics, and information science. The book is based on papers and
books published by the authors on the representations of the
Lorentz group based on harmonic oscillators and their applications
to high-energy physics and to Wigner functions applicable to
quantum optics. It also covers the two-by-two representations of
the Lorentz group applicable to ray optics, including cavity,
multilayer and lens optics, as well as representations of the
Lorentz group applicable to Stokes parameters and the Poincare
sphere on polarization optics.
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