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Author: Paola Cantù
Publisher: Springer Nature
ISBN: 3031421906
Category : Science
Languages : en
Pages : 333
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Book Description
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.
Author: Paola Cantù
Publisher: Springer Nature
ISBN: 3031421906
Category : Science
Languages : en
Pages : 333
Get Book Here
Book Description
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.
Author: Paola Cantù
Publisher: Springer
ISBN: 9783031421891
Category : Science
Languages : en
Pages : 0
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Book Description
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.
Author: Laurent Mazliak
Publisher: Springer Nature
ISBN: 3031059883
Category : Mathematics
Languages : en
Pages : 419
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Book Description
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.
Author: Stefania Centrone
Publisher: Springer Science & Business Media
ISBN: 9048132460
Category : Philosophy
Languages : en
Pages : 250
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Book Description
Logic and Philosophy of Mathematics in the Early Husserl focuses on the first ten years of Edmund Husserl’s work, from the publication of his Philosophy of Arithmetic (1891) to that of his Logical Investigations (1900/01), and aims to precisely locate his early work in the fields of logic, philosophy of logic and philosophy of mathematics. Unlike most phenomenologists, the author refrains from reading Husserl’s early work as a more or less immature sketch of claims consolidated only in his later phenomenology, and unlike the majority of historians of logic she emphasizes the systematic strength and the originality of Husserl’s logico-mathematical work. The book attempts to reconstruct the discussion between Husserl and those philosophers and mathematicians who contributed to new developments in logic, such as Leibniz, Bolzano, the logical algebraists (especially Boole and Schröder), Frege, and Hilbert and his school. It presents both a comprehensive critical examination of some of the major works produced by Husserl and his antagonists in the last decade of the 19th century and a formal reconstruction of many texts from Husserl’s Nachlaß that have not yet been the object of systematical scrutiny. This volume will be of particular interest to researchers working in the history, and in the philosophy, of logic and mathematics, and more generally, to analytical philosophers and phenomenologists with a background in standard logic.
Author: Hans Halvorson
Publisher: Cambridge University Press
ISBN: 1107110998
Category : Philosophy
Languages : en
Pages : 305
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Book Description
Reconsiders the role of formal logic in the analytic approach to philosophy, using cutting-edge mathematical techniques to elucidate twentieth-century debates.
Author: Michael Matthews
Publisher: Springer Science & Business Media
ISBN: 9048127793
Category : Science
Languages : en
Pages : 345
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Book Description
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.
Author: Donata Romizi
Publisher: Springer
ISBN: 9783030936891
Category : Science
Languages : en
Pages : 0
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Book Description
This book provides a new all-round perspective on the life and work of Edgar Zilsel (1891-1944) as a philosopher, historian, and sociologist. He was close to the Vienna Circle and has been hitherto almost exclusively referred to in terms of the so-called “Zilsel thesis” on the origins of modern science. Much beyond this “thesis”, Zilsel’s brilliant work provides original insights on a broad number of topics, ranging from the philosophy of probability and statistics to the concept of “genius”, from the issues of scientific laws and theories to the sociological background of science and philosophy, and to the political analysis of the problems of his time. Praised by Herbert Feigl as an “outstanding brilliant mind”, Zilsel, being as a Social-Democrat of Jewish origins, mostly led a life of hardship marked by emigration and coming to a sudden and tragic end by suicide in 1944. The impossibility of an academic career has hindered the reception of Zilsel’s scientific work for a long time. This volume is a contribution to its late reception, providing new insights especially into his work during his years in Vienna; moreover, it shows the heuristic value of Zilsel’s ideas for future scholarly research – in philosophy, history, and sociology.
Author: Sahotra Sarkar
Publisher: Psychology Press
ISBN: 0415939275
Category : Philosophy
Languages : en
Pages : 1012
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Book Description
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).
Author: Sahotra Sarkar
Publisher: Taylor & Francis
ISBN: 9780415977104
Category : Science
Languages : en
Pages : 530
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Book Description
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).
Author: Dale Jacquette
Publisher: Cambridge University Press
ISBN: 1108365043
Category : Philosophy
Languages : en
Pages : 684
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Book Description
Gottlob Frege (1848–1925) is one of the founding figures of analytic philosophy, whose contributions to logic, philosophical semantics, philosophy of language, and philosophy of mathematics set the agenda for future generations of theorists in these and related areas. Dale Jacquette's lively and incisive biography charts Frege's life from its beginnings in small-town north Germany, through his student days in Jena, to his development as an enduringly influential thinker. Along the way Jacquette considers Frege's ground-breaking Begriffschrift (1879), in which he formulated his 'ideal logical language', his magisterial Grundgesetze der Arithmetik (1893 and 1903), and his complex relation to thinkers including Husserl and especially Russell, whose Paradox had such drastic implications for Frege's logicism. Jacquette concludes with a thoughtful assessment of Frege's legacy. His rich and informative biography will appeal to all who are interested in Frege's philosophy.
