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This book provides a collection of chapters on the development of scientific philosophy and symbolic logic in the early twentieth century. The turn of the last century was a key transitional period for the development of symbolic logic and scientific philosophy. The Peano school, the editorial board of the Revue de Métaphysique et de Morale, and the members of the Vienna Circle are generally mentioned as champions of this transformation of the role of logic in mathematics and in the sciences. The scholarship contained provides a rich historical and philosophical understanding of these groups and research areas. Specifically, the contributions focus on a detailed investigation of the relation between structuralism and modern mathematics. In addition, this book provides a closer understanding of the relation between symbolic logic and previous traditions such as syllogistics. This volume also informs the reader on the relation between logic, the history and didactics in the Peano School. This edition appeals to students and researchers working in the history of philosophy and of logic, philosophy of science, as well as to researchers on the Vienna Circle and the Peano School.
This book provides a collection of chapters on the development of scientific philosophy and symbolic logic in the early twentieth century. The turn of the last century was a key transitional period for the development of symbolic logic and scientific philosophy. The Peano school, the editorial board of the Revue de Métaphysique et de Morale, and the members of the Vienna Circle are generally mentioned as champions of this transformation of the role of logic in mathematics and in the sciences. The scholarship contained provides a rich historical and philosophical understanding of these groups and research areas. Specifically, the contributions focus on a detailed investigation of the relation between structuralism and modern mathematics. In addition, this book provides a closer understanding of the relation between symbolic logic and previous traditions such as syllogistics. This volume also informs the reader on the relation between logic, the history and didactics in the Peano School. This edition appeals to students and researchers working in the history of philosophy and of logic, philosophy of science, as well as to researchers on the Vienna Circle and the Peano School.
Over the past eighty years, martingales have become central in the mathematics of randomness. They appear in the general theory of stochastic processes, in the algorithmic theory of randomness, and in some branches of mathematical statistics. Yet little has been written about the history of this evolution. This book explores some of the territory that the history of the concept of martingales has transformed. The historian of martingales faces an immense task. We can find traces of martingale thinking at the very beginning of probability theory, because this theory was related to gambling, and the evolution of a gambler’s holdings as a result of following a particular strategy can always be understood as a martingale. More recently, in the second half of the twentieth century, martingales became important in the theory of stochastic processes at the very same time that stochastic processes were becoming increasingly important in probability, statistics and more generally in various applied situations. Moreover, a history of martingales, like a history of any other branch of mathematics, must go far beyond an account of mathematical ideas and techniques. It must explore the context in which the evolution of ideas took place: the broader intellectual milieux of the actors, the networks that already existed or were created by the research, even the social and political conditions that favored or hampered the circulation and adoption of certain ideas. This books presents a stroll through this history, in part a guided tour, in part a random walk. First, historical studies on the period from 1920 to 1950 are presented, when martingales emerged as a distinct mathematical concept. Then insights on the period from 1950 into the 1980s are offered, when the concept showed its value in stochastic processes, mathematical statistics, algorithmic randomness and various applications.
The larger part of Yearbook 6 of the Institute Vienna Circle constitutes the proceedings of a symposium on Alfred Tarski and his influence on and interchanges with the Vienna Circle, especially those on and with Rudolf Carnap and Kurt Gödel. It is the first time that this topic has been treated on such a scale and in such depth. Attention is mainly paid to the origins, development and subsequent role of Tarski's definition of truth. Some contributions are primarily historical, others analyze logical aspects of the concept of truth. Contributors include Anita and Saul Feferman, Jan Wolenski, Jan Tarski and Hans Sluga. Several Polish logicians contributed: Gzegorczyk, Wójcicki, Murawski and Rojszczak. The volume presents entirely new biographical material on Tarski, both from his Polish period and on his influential career in the United States: at Harvard, in Princeton, at Hunter, and at the University of California at Berkeley. The high point of the analysis involves Tarski's influence on Carnap's evolution from a narrow syntactical view of language, to the ontologically more sophisticated but more controversial semantical view. Another highlight involves the interchange between Tarski and Gödel on the connection between truth and proof and on the nature of metalanguages. The concluding part of Yearbook 6 includes documentation, book reviews and a summary of current activities of the Institute Vienna Circle. Jan Tarski introduces letters written by his father to Gödel; Paolo Parrini reports on the Vienna Circle's influence in Italy; several reviews cover recent books on logical empiricism, on Gödel, on cosmology, on holistic approaches in Germany, and on Mauthner.
Reconsiders the role of formal logic in the analytic approach to philosophy, using cutting-edge mathematical techniques to elucidate twentieth-century debates.
The first in-depth reference to the field that combines scientific knowledge with philosophical inquiry, this encyclopedia brings together a team of leading scholars to provide nearly 150 entries on the essential concepts in the philosophy of science. The areas covered include biology, chemistry, epistemology and metaphysics, physics, psychology and mind, the social sciences, and key figures in the combined studies of science and philosophy. (Midwest).
The first in-depth reference to the field that combines scientific knowledge with philosophical inquiry, this encyclopedia brings together a team of leading scholars to provide nearly 150 entries on the essential concepts in the philosophy of science. The areas covered include biology, chemistry, epistemology and metaphysics, physics, psychology and mind, the social sciences, and key figures in the combined studies of science and philosophy. (Midwest).
This book has its origins in a special issue of the journal Science & Education (Volume 18 Numbers 6–7, 2009). The essay by Costas Skordoulis – ‘Science and Worldviews in the Marxist Tradition’ – did not appear in that special issue due to a mistake in production scheduling. It was published in an earlier issue of the journal (Volume 17 Number 6, 2008), but has been included in this book version of the special issue. As explained in the Introduction, the catalyst for the journal special issue was the essay on ‘Science, Worldviews and Education’ submitted to the journal by Hugh G. Gauch Jr. This was circulated to the other contributors who were asked to write their own contribution in the light of the arguments and literature contained in the paper. Hugh made brief ‘Responses and Clari?cations’ after the papers were written. However the Tanis Edis article on Islam and my own article on Priestley were processed too late to bene?t from Hugh’s appraisal. The journal is associated with the International History, Philosophy, and Science Teaching Group which was formed in 1987. The group stages biennial international conferences and occasional regional conferences (details can be found at www. ihpst. org). The group, though the journal, conferences, and its electronic newsletter (at www. ihpst.
Includes the author's seminal studies of the logic of induction, arguments for his realist view that science discovers necessary truths about nature, and exercises in the epistemology and ontology of science.
The human sciences in the English-speaking world have been in a state of crisis since the Second World War. The battle between champions of hard-core scientific standards and supporters of a more humanistic, interpretive approach has been fought to a stalemate. Joel Isaac seeks to throw these contemporary disputes into much-needed historical relief. In Working Knowledge he explores how influential thinkers in the twentieth century's middle decades understood the relations among science, knowledge, and the empirical study of human affairs. For a number of these thinkers, questions about what kinds of knowledge the human sciences could produce did not rest on grand ideological gestures toward "science" and "objectivity" but were linked to the ways in which knowledge was created and taught in laboratories and seminar rooms. Isaac places special emphasis on the practical, local manifestations of their complex theoretical ideas. In the case of Percy Williams Bridgman, Talcott Parsons, B. F. Skinner, W. V. O. Quine, and Thomas Kuhn, the institutional milieu in which they constructed their models of scientific practice was Harvard University. Isaac delineates the role the "Harvard complex" played in fostering connections between epistemological discourse and the practice of science. Operating alongside but apart from traditional departments were special seminars, interfaculty discussion groups, and non-professionalized societies and teaching programs that shaped thinking in sociology, psychology, anthropology, philosophy, science studies, and management science. In tracing this culture of inquiry in the human sciences, Isaac offers intellectual history at its most expansive.