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For Wittgenstein mathematics is a human activity characterizing ways of seeing conceptual possibilities and empirical situations, proof and logical methods central to its progress. Sentences exhibit differing 'aspects', or dimensions of meaning, projecting mathematical 'realities'. Mathematics is an activity of constructing standpoints on equalities and differences of these. Wittgenstein's Later Philosophy of Mathematics (1934–1951) grew from his Early (1912–1921) and Middle (1929–33) philosophies, a dialectical path reconstructed here partly as a response to the limitative results of Gödel and Turing.
Making extensive use of unique archival resources this collection presents, for the first time, an in-depth study of the work and influence of Wittgenstein's original literary heirs, Rush Rhees, Elizabeth Anscombe and Georg Henrik von Wright as editors of Wittgenstein's posthumous writings. Presenting philosophical portraits of Rhees, Anscombe and von Wright, a team of international contributors provide a history of their collaboration and discuss how the individual philosophical views of the literary heirs shaped what we now know as the works of Wittgenstein. They consider the link between philosophically relevant aspects of their biography, their friendship with Wittgenstein and the development of their philosophical personalities, offering us a new appreciation of the dynamics of their editorial collaboration and how each of the heirs worked individually as an editor to create Wittgenstein's philosophy. Each chapter reveals what the editors did to enrich and shape our understanding of Wittgenstein's philosophical contribution on topics such as rule-following, logical necessity, aesthetics and the methods and aims of philosophy. This thorough critical analysis of the editorial history of Wittgenstein's works allows us to finally appreciate the profound impact the editors have had on our understanding of his philosophy, his views and his cultural significance.
In these selected essays, Charles Parsons surveys the contributions of philosophers and mathematicians who shaped the philosophy of mathematics over the past century: Brouwer, Hilbert, Bernays, Weyl, Gödel, Russell, Quine, Putnam, Wang, and Tait.
Made to be Seen brings together leading scholars of visual anthropology to examine the historical development of this multifaceted and growing field. Expanding the definition of visual anthropology beyond more limited notions, the contributors to Made to be Seen reflect on the role of the visual in all areas of life. Different essays critically examine a range of topics: art, dress and body adornment, photography, the built environment, digital forms of visual anthropology, indigenous media, the body as a cultural phenomenon, the relationship between experimental and ethnographic film, and more. The first attempt to present a comprehensive overview of the many aspects of an anthropological approach to the study of visual and pictorial culture, Made to be Seen will be the standard reference on the subject for years to come. Students and scholars in anthropology, sociology, visual studies, and cultural studies will greatly benefit from this pioneering look at the way the visual is inextricably threaded through most, if not all, areas of human activity.
An anthology of contemporary philosophy of science in Spain. Essays on 19th Century physics, the new cosmology, philosophy of biology, scientific rationality, philosophy of mathematics, phenomenology's account of scientific progress, science and ethics, philosophy of economics, methodology, and the philosophy of technology.
The book is an exploration of the theoretical, conceptual and methodological foundations of human-centred design. Specifically, it critically examines the notion of 'practice' and argues for an understanding of the concept which emanates from engagement with design problems rather than simply from social scientific theory. The contributors to the book in their various ways all subscribe to a systematic account of how practice- oriented studies can inform design. Using the perspective of 'grounded design', it pursues a long term view of the design process, arguing for user engagement from the very earliest stages of design policy, including methods for understanding user practices to inform initial design policies up to and including processes of appropriation as technologies are embedded in contexts of use. Grounded design is a perspective which also deals with the vexed problem of appropriate generalization in design studies and the kinds of cross-comparison that can usefully be done. The book contains a number of case studies which exemplify these themes, some of which are rooted in the use of technology in organizational contexts, others of which deal with design in contexts such as care of the elderly, firefighting and multicultural education.
Philosophers have studied geometry since ancient times. Geometrical knowledge has often played the role of a laboratory for the philosopher's conceptual experiments dedicated to the ideation of powerful theories of knowledge. Lorenzo Magnani's new book Philosophy and Geometry illustrates the rich intrigue of this fascinating story of human knowledge, providing a new analysis of the ideas of many scholars (including Plato, Proclus, Kant, and Poincaré), and discussing conventionalist and neopositivist perspectives and the problem of the origins of geometry. The book also ties together the concerns of philosophers of science and cognitive scientists, showing, for example, the connections between geometrical reasoning and cognition as well as the results of recent logical and computational models of geometrical reasoning. All the topics are dealt with using a novel combination of both historical and contemporary perspectives. Philosophy and Geometry is a valuable contribution to the renaissance of research in the field.
This book presents a study on the foundations of a large class of paraconsistent logics from the point of view of the logics of formal inconsistency. It also presents several systems of non-standard logics with paraconsistent features.
Wittgenstein and Normative Inquiry examines the relevance of Ludwig Wittgenstein's philosophy for ethics, aesthetics, political philosophy, and religion. It analyzes the intellectual contexts which shaped Wittgenstein's normative thought, traces his influences, and presents contemporary uses of his philosophy in normative fields. The chapters focus on the nature of normative inquiry. Together, they present a Wittgensteinian approach to normative inquiry, which, while broad and contested, stands in contrast to dominant deductive approaches. Arguing to normative conclusions by showing family resemblances, drawing analogies, using persuasion, appealing to naturalist arguments, authors and Wittgensteinians discussed by them expand our notion of normative inquiry.