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This collection of essays presents a systematic and up-to-date survey of the main aspects of Georg Henrik von Wright's philosophy, tracing the general humanistic leitmotiv to be found in his vast, varied output. The analysis covers the developments in Von Wright's thought up to the end of the 1990s. The essays are arranged thematically to focus on the chief areas of Von Wright's interests: practical rationality; human action and determinism; philosophical logic and theories of norms; research in the analytical tradition; and Wittgenstein studies. Readership: Scholars and students of moral philosophy, logic, psychology, sociology, cognitive science and the history of contemporary philosophy.
This book, which studies the links between mathematics and philosophy, highlights a reversal. Initially, the (Greek) philosophers were also mathematicians (geometers). Their vision of the world stemmed from their research in this field (rational and irrational numbers, problem of duplicating the cube, trisection of the angle...). Subsequently, mathematicians freed themselves from philosophy (with Analysis, differential Calculus, Algebra, Topology, etc.), but their researches continued to inspire philosophers (Descartes, Leibniz, Hegel, Husserl, etc.). However, from a certain level of complexity, the mathematicians themselves became philosophers (a movement that begins with Wronsky and Clifford, and continues until Grothendieck).
This book offers original research by leading scholars from the United States, United Kingdom, Germany, France, and Russia, which covers the central areas of Shpet's work on phenomenology, philosophy of language, cultural theory, and aesthetics and takes forward the current state of knowledge and debates on his contribution to these fields of enquiry. The book also contains, for the first time in English translation, the most seminal portions of Shpet's book-length study of hermeneutics, which is his most significant work for contemporary students of cultural theory. The first part of the book maps out Shpet's legacy in the main areas of his multi-faceted work; the second part examines in closer detail particular aspects of Shpet's philosophical affiliations and contributions in the framework of cultural theory, phenomenology, hermeneutics, and in the field of Russian intellectual history; the final part features the publication of extracts from Shpet's 1918 book on hermeneutics.
The International Encyclopedia of Communication Theory and Philosophy is the definitive single-source reference work on the subject, with state-of-the-art and in-depth scholarly reflection on key issues from leading international experts. It is available both online and in print. A state-of-the-art and in-depth scholarly reflection on the key issues raised by communication, covering the history, systematics, and practical potential of communication theory Articles by leading experts offer an unprecedented level of accuracy and balance Provides comprehensive, clear entries which are both cross-national and cross-disciplinary in nature The Encyclopedia presents a truly international perspective with authors and positions representing not just Europe and North America, but also Latin America and Asia Published both online and in print Part of The Wiley Blackwell-ICA International Encyclopedias of Communication series, published in conjunction with the International Communication Association. Online version available at www.wileyicaencyclopedia.com
Covers the state of the art in the philosophy of maths and logic, giving the reader an overview of the major problems, positions, and battle lines. The chapters in this book contain both exposition and criticism as well as substantial development of their own positions. It also includes a bibliography.
Mathematics curriculums used in progressive classrooms of the United States and in classrooms of the People’s Republic of China presuppose markedly different philosophies. Xie and Carspecken reconstruct different assumptions operating implicitly within mathematics curriculums developed by the Ministry of Education in China and NCTM in the United States. Each curriculum is constructed upon a deep structure holistically integrating presuppositions about the nature of the human self, society, learning processes, language, concepts, human development, freedom, authority and the epistemology and ontology of mathematical knowledge. Xie and Carspecken next present an extended discussion of the two main philosophical traditions informing these curriculums: dialectical materialism in the case of the Chinese mathematics curriculum, and Dewey’s instrumental pragmatism in the case of NCTM. Both philosophies were developed as movements out of Hegelian idealism while retaining the anti-dualist and anti-empiricist insights of Hegel’s thought. The history of dialectical materialism and Dewey’s instrumentalism is carefully examined by the authors to identify both similarities and sharp differences in the resulting mature philosophies. Drawing upon more recent philosophies of intersubjectivity (Brandom, Habermas) and dialectical materialist psychologies (Vygotsky, Luria), the authors conclude this book with arguments for overcoming the limitations of a purely instrumentalist framework and for expanding potentialities implicit within dialectical philosophies. This book will be of value to a broad audience, including mathematics educators, philosophers, curriculum theorists, social theorists, and those who work in comparative education and learning science.
Although many agree that all teaching rests on a theory of knowledge, there has been no in-depth exploration of the implications of the philosophy of mathematics for education. This is Paul Ernest's aim. Building on the work of Lakatos and Wittgenstein it challenges the prevalent notion that mathematical knowledge is certain, absolute and neutral, and offers instead an account of mathematics as a social construction. This has profound educational implications for social issues, including gender, race and multiculturalism; for pedagogy, including investigations and problem solving; and challenges hierarchical views of mathematics, learning and ability. Beyond this, the book offers a well-grounded model of five educational ideologies, each with its own epistemology, values, aims and social group of adherents. An analysis of the impact of these groups on the National Curriculum results in a powerful critique, revealing the questionable assumptions, values and interests upon which it rests. The book finishes on an optimistic note, arguing that pedagogy, left unspecified by the National Curriculum, is the way to achieve the radical aims of educating confident problem posers and solvers who are able to critically evaluate the social uses of mathematics.
Per Martin-Löf's work on the development of constructive type theory has been of huge significance in the fields of logic and the foundations of mathematics. It is also of broader philosophical significance, and has important applications in areas such as computing science and linguistics. This volume draws together contributions from researchers whose work builds on the theory developed by Martin-Löf over the last twenty-five years. As well as celebrating the anniversary of the birth of the subject it covers many of the diverse fields which are now influenced by type theory. It is an invaluable record of areas of current activity, but also contains contributions from N. G. de Bruijn and William Tait, both important figures in the early development of the subject. Also published for the first time is one of Per Martin-Löf's earliest papers.