Karl Menger was born in Vienna on January 13, 1902, the only child of two gifted parents. His mother Hermione, nee Andermann (1870-1922), in addition to her musical abilities, wrote and published short stories and novelettes, while his father Carl (1840-1921) was the noted Austrian economist, one of the founders of marginal utility theory. A highly cultured man, and a liberal rationalist in the nine teenth century sense, the elder Menger had witnessed the defeat and humiliation of the old Austrian empire by Bismarck's Prussia, and the subsequent establishment under Prussian leadership of a militaristic, mystically nationalistic, state-capitalist German empire - in effect, the first modern "military-industrial complex. " These events helped frame in him a set of attitudes that he later transmitted to his son, and which included an appreciation of cultural attainments and tolerance and respect for cultural differences, com bined with a deep suspicion of rabid nationalism, particularly the German variety. Also a fascination with structure, whether artistic, scientific, philosophical, or theological, but a rejection of any aura of mysticism or mumbo-jumbo accompanying such structure. Thus the son remarked at least once that the archangels' chant that begins the Prolog im Himmel in Goethe's Faust was perhaps the most viii INTRODUCTION beautiful thing in the German language "but of course it doesn't mean anything.

Rationality and Decision Making: From Normative Rules to Heuristics offers a broad overview of both classic and very recent discussions concerning rationality and strategies of individual and group decision making. They are considered from a methodological, ethical, sociological, historical, cultural as well as an evolutionary perspective. Decision making, both rational and irrational, is treated in its complexity as an algorithmic, heuristic and intuitive process. The volume analyzes the theoretical and practical aspects of decision making in individual intentional endeavors and group or institutionalized undertakings. The analyses are mostly theoretical but they also appeal to empirical studies, proposed by philosophers and cognitive scientists who have studied logical, cognitive, biological, social and evolutionary aspects of human rationality. Contributors include María José Frápolli, Marek Hetmański, Jan F. Jacko, Artur Koterski, Agnieszka Lekka-Kowalik, Sofia Miguens, Ángeles J. Perona, Manueal de Pinedo, João Alberto Pinto, Krzysztof Polit, Marcin Rządeczka, Rui Sampaio da Silva, Joanna Sokołowska, Barbara Trybulec, Marcin Trybulec, Neftalí Villanueva, Monika Walczak, Jan Winkowski, Anna Wójtowicz, Jesús Zamora-Bonilla, and António Zilhão.

This book contains around 80 articles on major writings in mathematics published between 1640 and 1940. All aspects of mathematics are covered: pure and applied, probability and statistics, foundations and philosophy. Sometimes two writings from the same period and the same subject are taken together. The biography of the author(s) is recorded, and the circumstances of the preparation of the writing are given. When the writing is of some lengths an analytical table of its contents is supplied. The contents of the writing is reviewed, and its impact described, at least for the immediate decades. Each article ends with a bibliography of primary and secondary items. - First book of its kind - Covers the period 1640-1940 of massive development in mathematics - Describes many of the main writings of mathematics - Articles written by specialists in their field

A guide to the key figures in the Philosophy of Science from Plato and Aristotle through to Popper, Puttnam and Cartwright.

How can one European capital be responsible for most of the West’s intellectual and cultural achievements in the twentieth century? Viennese ideas saturate the modern world. From California architecture to Hollywood Westerns, modern advertising to shopping malls, orgasms to gender confirmation surgery, nuclear fission to fitted kitchens—every aspect of our history, science, and culture is in some way shaped by Vienna. The city of Freud, Wittgenstein, Mahler, and Klimt was the melting pot at the heart of a vast metropolitan empire. But with the Second World War and the rise of fascism, the dazzling coteries of thinkers who squabbled, debated, and called Vienna home dispersed across the world, where their ideas continued to have profound impact. Richard Cockett gives us the entirety of this extraordinary story. Tracing Vienna’s rich intellectual history from psychoanalysis to Reaganomics, Cockett encompasses everything from the communist rebels of Red Vienna to the neoliberal economists of the Austrian School. This is the panoramic account of how one city made the modern world—and how we all remain inescapably Viennese.

Karl Menger (1902-1985) was the mathematician son of the famous economist Carl Menger. When he was professor of geometry at the University of Vienna from 1927 to 1938, he joined the Vienna Circle and founded his Mathematical Colloquium. This title offers the transcription of those parts of Menger's notes.

How Wittgenstein sought a more effective way of reaching his audience by a poetic style of doing philosophy. Ludwig Wittgenstein once said, "Really one should write philosophy only as one writes poetry." In Wittgenstein's Artillery, James Klagge shows how, in search of ways to reach his audience, Wittgenstein tried a more poetic style of doing philosophy. Klagge argues that, deploying this new philosophical "artillery"--Klagge's term for Wittgenstein's methods of influencing his readers and students--Wittgenstein moved from an esoteric mode to an evangelical mode, aiming for an effect on his audience that was noncognitive, appealing to the temperament in addition to the intellect. Wittgenstein was an artillery spotter--directing artillery fire to targets--in the Austrian army during World War I, and Klagge argues that, years later, he became a philosophical spotter, struggling to find the right artillery to accomplish his philosophical purpose. Klagge shows how Wittgenstein's work with his students influenced his style of writing philosophy and motivated him to care about the effect of his ideas on his audience. To illustrate Wittgenstein's evolving approach, Klagge draws on not only Wittgenstein's best-known works but also such lesser-known material as notebooks, dictations, lectures, and recollections of students. Klagge then goes beyond Wittgenstein to present a range of literature--biblical parables and children's stories, Dostoevsky and Tolstoy, Kierkegaard and Nietzsche--as other examples of the poetic approach. He concludes by offering his own attempts at a poetic approach to addressing philosophical issues.

Norms, Values, and Society is the second Yearbook of the Vienna Circle Institute, which was founded in October 1991. The main part of the book contains original contributions to an international symposium the Institute held in October 1993 on ethics and social philosophy. The papers deal among others with questions of justice, equality, just social institutions, human rights, the connections between rationality and morality and the methodological problems of applied ethics. The Documentation section contains previously unpublished papers by Rudolf Carnap, Philipp Frank, Charles W. Morris and Edgar Zilsel, and the review section presents new publications on the Vienna Circle. The Vienna Circle Institute is devoted to the critical advancement of science and philosophy in the broad tradition of the Vienna Circle, as well as to the focusing of cross-disciplinary interest on the history and philosophy of science in a social context. The Institute's Yearbooks will, for the most part, document its activities and provide a forum for the discussion of exact philosophy, logical and empirical investigations, and analysis of language.

A dazzling group biography of the early twentieth-century thinkers who transformed the way the world thought about math and science Inspired by Albert Einstein's theory of relativity and Bertrand Russell and David Hilbert's pursuit of the fundamental rules of mathematics, some of the most brilliant minds of the generation came together in post-World War I Vienna to present the latest theories in mathematics, science, and philosophy and to build a strong foundation for scientific investigation. Composed of such luminaries as Kurt Gö and Rudolf Carnap, and stimulated by the works of Ludwig Wittgenstein and Karl Popper, the Vienna Circle left an indelible mark on science. Exact Thinking in Demented Times tells the often outrageous, sometimes tragic, and never boring stories of the men who transformed scientific thought. A revealing work of history, this landmark book pays tribute to those who dared to reinvent knowledge from the ground up.