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Peu aprt!s la mort d'E. W. Beth, j'ai pu organiser a Paris, a l'Institut Henri Poincare, un Colloque a sa memoire. Je suis heureux qu'aujourd'hui les Actes de ce Colloque soient publies en un volume qui materialise l'hom mage que ses amis, collegues et eleves ont voulu lui rendre. Ce Colloque international qui groupait des specialistes de nationalites diverses appartenant a de nombreuses disciplines, a fait ressortir la ri chesse et la portee de l'oeuvre d'E. W. Beth et Ie rayonnement de sa personnalite. Que Madame Beth veuille bien trouver ici l'hommage que no us adres sons tous a la memoire de son mario C'est grace aux soins de la Maison d'edition D. Reidel que ce volume a pu etre realise sous une forme digne de celui que no us voulons honorer. Paris, mai 1967 J.-L. DES TOUCHES v TABLE OF CONTENTS Preface, by Jean-Louis Destouches v G.H. VON WRIGHT / Memorial Address 1 J.-L. DES TOUCHES / Allocution 2 A. HEYTING / Remarques sur la theorie intuitionniste des espaces lineaires 4 K.L. DE BOUVERE / Some Remarks about Synonymity and the Theorem of Beth 10 J.J.F. NIELAND / Beth's Tableau-Method 19 MARCEL GUILLAUME / Quelques remarques sur les "Tableaux de Beth" 39 ROLAND FRAisSE / Une hypothese sur I'extension des relations finies et sa verification dans certaines classes particulieres (deuxieme partie) 46 J.J.A.
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For some years we have been conducting at the University of Haifa an interdisciplinary seminar on explanation in philosophy and psychology. We habitually begin the seminar with some philosophical reflections on explanation - an analysis of the concept and its metaphysical underpinnings. We discuss the various models and proceed to examine explanation in the setting of psychology. Thus, from the outset, we have focused not only on the concept itself but also on its application. The objective that we have set for the seminar, attended by students from both departments, Philosophy and Psychology, has been a critical understanding of the concept of explanation, its use and limitations. We were keen on deepening our understanding of the concept and on exploring its applications in fields of knowledge other than psychology. This was the motivation for convening an international conference on explanation and its application. The conference took place in the spring of 1998 under the auspices of the University of Haifa. The present book is the fruit of this meeting. The reader should note that the second part of the Introduction presents a detailed analytical account of the book. We hope that this overview will facilitate efficient use of the book by directing the reader's attention to those issues that might be of interest to him or her.
One of the controversial philosophical issues of recent years has been the question of the nature of logical and mathematical entities. Platonist or linguistic modes of explanation have become fashionable, whilst abstrac tionist and constructionist theories have ceased to be so. Beth and Piaget approach this problem in their book from two somewhat different points of view. Beth's approach is largely historico-critical, although he discusses the nature of heuristic thinking in mathematics, whilst that of Piaget is psycho-genetic. The major purpose of this introduction is to summarise some of the main points of their respective arguments. In the first part of this book Beth makes a detailed study of the history of philosophical thinking about mathematics, and draws our attention to the important role played by the Aristotelian methodology of the demon strative sciences. This, he tells us, is characterised by three postulates: (a) deductivity, (b) self-evidence, and (c) reality. The last postulate asserts that the primitive notions of a demonstrative science must have reference to a domain of real entities in order to have significance. On the Aristote lian view discursive reasoning plays a major role in mathematics, whilst pure intuition plays a somewhat subordinate one.
History and Philosophy of Modern Mathematics was first published in 1988. Minnesota Archive Editions uses digital technology to make long-unavailable books once again accessible, and are published unaltered from the original University of Minnesota Press editions. The fourteen essays in this volume build on the pioneering effort of Garrett Birkhoff, professor of mathematics at Harvard University, who in 1974 organized a conference of mathematicians and historians of modern mathematics to examine how the two disciplines approach the history of mathematics. In History and Philosophy of Modern Mathematics, William Aspray and Philip Kitcher bring together distinguished scholars from mathematics, history, and philosophy to assess the current state of the field. Their essays, which grow out of a 1985 conference at the University of Minnesota, develop the basic premise that mathematical thought needs to be studied from an interdisciplinary perspective. The opening essays study issues arising within logic and the foundations of mathematics, a traditional area of interest to historians and philosophers. The second section examines issues in the history of mathematics within the framework of established historical periods and questions. Next come case studies that illustrate the power of an interdisciplinary approach to the study of mathematics. The collection closes with a look at mathematics from a sociohistorical perspective, including the way institutions affect what constitutes mathematical knowledge.
The theory of signifying (significs), formulated and introduced by Victoria Welby for the first time in 1890s, is at the basis of much of twentieth-century linguistics, as well as in other language and communication sciences such as sociolinguistics, psycholinguistics, translation theory and semiotics. Indirectly, the origins of approaches, methods and categories elaborated by analytical philosophy, Wittgenstein himself, Anglo-American speech act theory, and pragmatics are largely found with Victoria Lady Welby. Indeed, it is no exaggeration to say, in addition, that Welby is the "founding mother" of semiotics. Some of Peirce's most innovative writings – for example, those on existential graphs – are effectively letters to Lady Welby. She was an esteemed correspondent of scholars such as Bertrand Russell, Charles K. Ogden, Herbert G. Wells, Ferdinand S. C. Schiller, Michel Bréal, André Lalande, the brothers Henry and William James, and Peirce, as well as Frederik van Eeden, Mary Everst Boole, Ferdinand Tönnies, and Giovanni Vailati. Her writings directly inspired the Signific Movement in the Netherlands, important for psycholinguistics, linguistics and semantics and inaugurated by van Eeden and developed by such authors as Gerrit Mannoury. This volume, containing introductions and commentaries, presents a selection from Welby's published and unpublished writings delineating the whole course of her research through to developments with the Significs Movement in the Netherlands and still other ramifications, contemporary and subsequent to her. A selection of essays by first-generation significians contributing to the Signific Movement in the Netherlands completes the collection, testifying to the progress of significs after Welby and even independently from her. This volume contributes to the reconstruction on both the historical and theoretical levels of an important period in the history of ideas. The aim of the volume is to convey a sense of the theoretical topicality of significs and its developments, especially in semiotics, and in particular its thematization of the question of values and the connection with signs, meaning, and understanding, therefore with human verbal and nonverbal behavior, language and communication.
Why does talk in families so often go in circles, leaving us tied up in knots? In this illuminating book, Deborah Tannen, the linguist and and bestselling author of You Just Don't Understand and many other books, reveals why talking to family members is so often painful and problematic even when we're all adults. Searching for signs of acceptance and belonging, we find signs of disapproval and rejection. Why do the seeds of family love so often yield a harvest of criticism and judgment? In I Only Say This Because I Love You, Tannen shows how important it is, in family talk, to learn to separate word meanings, or messages, from heart meanings, or metamessages —unstated but powerful meanings that come from the history of our relationships and the way things are said. Presenting real conversations from people's lives, Tannen reveals what is actually going on in family talk, including how family conversations must balance the longing for connection with the desire for control, as we struggle to be close without giving up our freedom. This eye-opening book explains why grown women so often feel criticized by their mothers; and why mothers feel they can't open their mouths around their grown daughters; why growing up male or female, or as an older or younger sibling, results in different experiences of family that persist throughout our lives; and much, much more. By helping us to understand and redefine family talk, Tannen provides the tools to improve relationships with family members of every age.
Talking Wolves advances an analysis of Hobbes which takes language seriously (as seriously as Hobbes took it). It presents a reading of Hobbes's view of society at large, and political society in particular, through a comprehensive discussion based on, and intimately linked to, his philosophy of language. This philosophy, in turn, is seen in a new light as being a pragmatic theory of language in use, language in action.