Foundational Reflections


Book Description

The American University Publications In From its inception Philosophy has continued the direction stated in the sub-title of the initial volume that of probing new directions in philosophy. As the series has developed these probings of new directions have taken the two fold direction of exploring the relationships between the disparate traditions of twentieth century philosophy and with developing new insights into the foundations of some enduring philosophic problems. This present volume continues both of these directions. The interaction between twentieth-century Anglo-Saxon and Continental philosophy which was an implicit theme of our first and third volumes and the explicit subject of our second volume is here continued in a series of studies on major figures and topics in each tradition. In the context of these interpretative studies, Professor Durfee returns again and again to the question of the relationships between the will and the reason, and explores the conflicting goals of creativity and objectivity in formulating a philosophic position. In so doing he raises the issue as his title suggests - of the foundations of philosophy itself. He seriously challenges the belief common to both pheomenology and analytic philosophy that philosophizing can be a presuppositionless activity, objectively persued independent of the personal (and, perhaps, arbitrary) commitments of the philosopher. This issue, critical as it is to all forms of philosophy, is surely a worthy one for a series such as ours.




Reflections on the Foundations of Mathematics


Book Description

This edited work presents contemporary mathematical practice in the foundational mathematical theories, in particular set theory and the univalent foundations. It shares the work of significant scholars across the disciplines of mathematics, philosophy and computer science. Readers will discover systematic thought on criteria for a suitable foundation in mathematics and philosophical reflections around the mathematical perspectives. The volume is divided into three sections, the first two of which focus on the two most prominent candidate theories for a foundation of mathematics. Readers may trace current research in set theory, which has widely been assumed to serve as a framework for foundational issues, as well as new material elaborating on the univalent foundations, considering an approach based on homotopy type theory (HoTT). The third section then builds on this and is centred on philosophical questions connected to the foundations of mathematics. Here, the authors contribute to discussions on foundational criteria with more general thoughts on the foundations of mathematics which are not connected to particular theories. This book shares the work of some of the most important scholars in the fields of set theory (S. Friedman), non-classical logic (G. Priest) and the philosophy of mathematics (P. Maddy). The reader will become aware of the advantages of each theory and objections to it as a foundation, following the latest and best work across the disciplines and it is therefore a valuable read for anyone working on the foundations of mathematics or in the philosophy of mathematics.




Postfoundational Phenomenology


Book Description




Self-Reference


Book Description

Self-reference, although a topic studied by some philosophers and known to a number of other disciplines, has received comparatively little explicit attention. For the most part the focus of studies of self-reference has been on its logical and linguistic aspects, with perhaps disproportionate emphasis placed on the reflexive paradoxes. The eight-volume Macmillan Encyclopedia of Philosophy, for example, does not contain a single entry in its index under "self-reference", and in connection with "reflexivity" mentions only "relations", "classes", and "sets". Yet, in this volume, the introductory essay identifies some 75 varieties and occurrences of self-reference in a wide range of disciplines, and the bibliography contains more than 1,200 citations to English language works about reflexivity. The contributed papers investigate a number of forms and applications of self-reference, and examine some of the challenges posed by its difficult temperament. The editors hope that readers of this volume will gain a richer sense of the sti11largely unexplored frontiers of reflexivity, and of the indispensability of reflexive concepts and methods to foundational inquiries in philosophy, logic, language, and into the freedom, personality and intelligence of persons.




Handbook of Reflection and Reflective Inquiry


Book Description

Philosophers have warned of the perils of a life spent without reflection, but what constitutes reflective inquiry - and why it’s necessary in our lives - can be an elusive concept. Synthesizing ideas from minds as diverse as John Dewey and Paulo Freire, theHandbook of Reflection and Reflective Inquiry presents reflective thought in its most vital aspects, not as a fanciful or nostalgic exercise, but as a powerful means of seeing familiar events anew, encouraging critical thinking and crucial insight, teaching and learning. In its opening pages, two seasoned educators, Maxine Greene and Lee Shulman, discuss reflective inquiry as a form of active attention (Thoreau’s "wide-awakeness"), an act of consciousness, and a process by which people can understand themselves, their work (particularly in the form of life projects), and others. Building on this foundation, the Handbook analyzes through the work of 40 internationally oriented authors: - Definitional issues concerning reflection, what it is and is not; - Worldwide social and moral conditions contributing to the growing interest in reflective inquiry in professional education; - Reflection as promoted across professional educational domains, including K-12 education, teacher education, occupational therapy, and the law; - Methods of facilitating and scaffolding reflective engagement; - Current pedagogical and research practices in reflection; - Approaches to assessing reflective inquiry. Educators across the professions as well as adult educators, counselors and psychologists, and curriculum developers concerned with adult learning will find the Handbook of Reflection and Reflective Inquiry an invaluable teaching tool for challenging times.




Reflections on Empire


Book Description

This new book from Antonio Negri, one of the most influential political thinkers writing today, provides a concise and accessible introduction to the key ideas of his recent work. Giving the reader a sense of the wider context in which Negri has developed the ideas that have become so central to current debates, the book is made up of five lectures which address a series of topics that are dealt with in his world-famous books empire, globalization, multitude, sovereignty, democracy. Reflections on Empire will appeal to anyone interested in current debates about the ways in which the world is changing today, to the many people who are followers of Negri's work and to students and scholars in sociology, politics and cultural studies.




Foundations of a Free Society


Book Description

Foundations of a Free Society brings together some of the most knowledgeable Ayn Rand scholars and proponents of her philosophy, as well as notable critics, putting them in conversation with other intellectuals who also see themselves as defenders of capitalism and individual liberty. United by the view that there is something importantly right—though perhaps also much wrong—in Rand’s political philosophy, contributors reflect on her views with the hope of furthering our understandings of what sort of society is best and why. The volume provides a robust elaboration and defense of the foundation of Rand’s political philosophy in the principle that force paralyzes and negates the functioning of reason; it offers an in-depth scholarly discussion of Rand’s view on the nature of individual rights and the role of government in defending them; it deals extensively with the similarities and differences between Rand’s thought and the libertarian tradition (to which she is often assimilated) and objections to her positions arising from this tradition; it explores Rand’s relation to the classical liberal tradition, specifically with regard to her defense of freedom of the intellect; and it discusses her views on the free market, with special attention to the relation between these views and those of the Austrian school of economics.




Trailblazers for Whole School Sustainability


Book Description

What does it take to prepare students, teachers, and school staff to shape a just and sustainable future? In Trailblazers for Whole School Sustainability, you will meet educators and school leaders who are on the front lines of re-imagining school through the lens of sustainability. This book features inspiring stories from around the country, from urban and rural schools and districts, that highlight best practices and lessons learned from teachers, administrators, and students as they transformed their school communities for a just and sustainable future. These stories are structured around a practical framework that demonstrates how this work allows schools and districts to work smarter, not harder, by integrating sustainability and systems thinking into leadership; curriculum and instruction; culture and climate; and facilities and operations. While each school and district’s story in this book is different, the passion that drives each one to embrace sustainability in everything they do, from operations to curriculum, remains the same. Trailblazers for Whole School Sustainability shows what is possible when educators resolve to blaze a trail to re-imagine K-12 education for a just and sustainable future.




Sport, Play, and Ethical Reflection


Book Description

In paperback for the first time, Randolph Feezell’s Sport, Play, and Ethical Reflection immediately tackles two big questions about sport: “What is it?” and “Why does it attract so many people?” Feezell argues that sports participation is best described as a form of human play, and the attraction for participants and viewers alike derives from both its aesthetic richness and narrative structure. He then claims that the way in which sports encourage serious competition in trivial pursuits is fundamentally absurd, and therefore participation requires a state of irony in the participants, where seriousness and playfulness are combined. Feezell builds on these conclusions, addressing important ethical issues, arguing that sportsmanship should be seen as a kind of Aristotelian mean between the extremes of over- and under-investment in sport. Chapters on cheating, running up the score, and character building stress sport as a rule-governed, tradition-bound practice with standards of excellence and goods internal to the practice. With clear writing and numerous illuminating examples, Feezell demonstrates deep insight into both of his subjects.




Reflection Groups and Invariant Theory


Book Description

Reflection groups and invariant theory is a branch of mathematics that lies at the intersection between geometry and algebra. The book contains a deep and elegant theory, evolved from various graduate courses given by the author over the past 10 years.