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The Berlin Group and the Philosophy of Logical Empiricism
The Berlin Group for scientific philosophy was active between 1928 and 1933 and was closely related to the Vienna Circle. In 1930, the leaders of the two Groups, Hans Reichenbach and Rudolf Carnap, launched the journal Erkenntnis. However, between the Berlin Group and the Vienna Circle, there was not only close relatedness but also significant difference. Above all, while the Berlin Group explored philosophical problems of the actual practice of science, the Vienna Circle, closely following Wittgenstein, was more interested in problems of the language of science. The book includes first discussion ever (in three chapters) on Walter Dubislav’s logic and philosophy. Two chapters are devoted to another author scarcely explored in English, Kurt Grelling, and another one to Paul Oppenheim who became an important figure in the philosophy of science in the USA in the 1940s–1960s. Finally, the book discusses the precursor of the Nord-German tradition of scientific philosophy, Jacob Friedrich Fries.
Revisiting Discovery and Justification
The distinction between the contexts of discovery and justification has had a turbulent career in philosophy of science. This book presents a debate about the nature, development, and significance of the context distinction, about its merits and flaws. It provides readings and analyses of the original textual sources for the context distinction.
Ernst Zermelo
This biography sheds light on all facets of the life and the achievements of Ernst Zermelo (1871-1953). Zermelo is best-known for the statement of the axiom of choice and his axiomatization of set theory. However, he also worked in applied mathematics and mathematical physics. His dissertation, for example, promoted the calculus of variations, and he created the pivotal method in the theory of rating systems. The presentation of Zermelo's work explores motivations, aims, acceptance, and influence. Selected proofs and information gleaned from letters add to the analysis. The description of his personality owes much to conversations with his late wife Gertrud. This second edition provides additional information. The system of citations has been adapted to that of Zermelo's Collected Works in order to facilitate side-by-side reading and thus profit from the thorough commentaries written for the Collected Works by experts in the respective fields. All facts presented are documented by appropriate sources. The biography contains nearly 50 photos and facsimiles.
Logic's Lost Genius
Gerhard Gentzen (1909–1945) is the founder of modern structural proof theory. His lasting methods, rules, and structures resulted not only in the technical mathematical discipline called “proof theory” but also in verification programs that are essential in computer science. The appearance, clarity, and elegance of Gentzen's work on natural deduction, the sequent calculus, and ordinal proof theory continue to be impressive even today. The present book gives the first comprehensive, detailed, accurate scientific biography expounding the life and work of Gerhard Gentzen, one of our greatest logicians, until his arrest and death in Prague in 1945. Particular emphasis in the book is put on...
New Essays on Leibniz Reception
This book is a collection of essays on the reception of Leibniz’s thinking in the sciences and in the philosophy of science in the 19th and 20th centuries. Authors studied include C.F. Gauss, Georg Cantor, Kurd Lasswitz, Bertrand Russell, Ernst Cassirer, Louis Couturat, Hans Reichenbach, Hermann Weyl, Kurt Gödel and Gregory Chaitin. In addition, we consider concepts and problems central to Leibniz’s thought and that of the later authors: the continuum, space, identity, number, the infinite and the infinitely small, the projects of a universal language, a calculus of logic, a mathesis universalis etc. The book brings together two fields of research in the history of philosophy and of science (research on Leibniz, and the research concerned with some major developments in the 19th and 20th centuries); it describes how Leibniz’s thought appears in the works of these authors, in order to better understand Leibniz’s influence on contemporary science and philosophy; but it also assesses that reception critically, confronting it in particular with the current state of Leibniz research and with the various editions of his work.
Probabilities, Laws, and Structures
This volume, the third in this Springer series, contains selected papers from the four workshops organized by the ESF Research Networking Programme "The Philosophy of Science in a European Perspective" (PSE) in 2010: Pluralism in the Foundations of Statistics Points of Contact between the Philosophy of Physics and the Philosophy of Biology The Debate on Mathematical Modeling in the Social Sciences Historical Debates about Logic, Probability and Statistics The volume is accordingly divided in four sections, each of them containing papers coming from the workshop focussing on one of these themes. While the programme's core topic for the year 2010 was probability and statistics, the organizers ...
Hermann Günther Graßmann (1809-1877): Visionary Mathematician, Scientist and Neohumanist Scholar
In this volume specialists in mathematics, physics, and linguistics present the first comprehensive analysis of the ideas and influence of Hermann G. Graßmann (1809-1877), the remarkable universalist whose work recast the foundations of these disciplines and shaped the course of their modern development.
Gottlob Frege: Frege's philosophy in context
This collection brings together recent scholarship on Frege, including new translations of German material which is made available to Anglophone scholars for the first time.
The Adventure of Reason
Paolo Mancosu presents a series of innovative studies in the history and the philosophy of logic and mathematics in the first half of the twentieth century. The Adventure of Reason is divided into five main sections: history of logic (from Russell to Tarski); foundational issues (Hilbert's program, constructivity, Wittgenstein, Gödel); mathematics and phenomenology (Weyl, Becker, Mahnke); nominalism (Quine, Tarski); semantics (Tarski, Carnap, Neurath). Mancosu exploits extensive untapped archival sources to make available a wealth of new material that deepens in significant ways our understanding of these fascinating areas of modern intellectual history. At the same time, the book is a contribution to recent philosophical debates, in particular on the prospects for a successful nominalist reconstruction of mathematics, the nature of finitist intuition, the viability of alternative definitions of logical consequence, and the extent to which phenomenology can hope to account for the exact sciences.
Logischer Empirismus, Lebensreform und Die Deutsche Jugendbewegung
This open-access book is the first to investigate the roots of Logical Empiricism in the context of the Life Reform and the German Youth Movements. Rudolf Carnap and Hans Reichenbach are the key protagonists; they both belonged to the German Youth Movement and developed their early philosophical views in this setting. By combining scholarly essays with unpublished and hard to access manuscripts, letters, and articles, this volume recasts our understanding of the early years of Logical Empiricism.
