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The Prehistory of Mathematical Structuralism
This edited volume explores the previously underacknowledged 'pre-history' of mathematical structuralism, showing that structuralism has deep roots in the history of modern mathematics. The contributors explore this history along two distinct but interconnected dimensions. First, they reconsider the methodological contributions of major figures in the history of mathematics. Second, they re-examine a range of philosophical reflections from mathematically-inclinded philosophers like Russell, Carnap, and Quine, whose work led to profound conclusions about logical, epistemological, and metaphysic.
The Prehistory of Mathematical Structuralism
Recently, debates about mathematical structuralism have picked up steam again within the philosophy of mathematics, probing ontological and epistemological issues in novel ways. These debates build on discussions of structuralism which began in the 1960s in the work of philosophers such as Paul Benacerraf and Hilary Putnam; going further than these previous thinkers, however, these new debates also recognize that the motivation for structuralist views should be tied to methodological developments within mathematics. In fact, practically all relevant ideas and methods have roots in the structuralist transformation that modern mathematics underwent in the 19th and early 20th centuries. This ed...
Logic, Epistemology, and Scientific Theories - From Peano to the Vienna Circle
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.
Franz Brentano and Austrian Philosophy
The book discusses Franz Brentano’s impact on Austrian philosophy. It contains both a critical reassessment of Brentano’s place in the development of Austrian philosophy at the turn of the 20th century and a reevaluation of the impact and significance of his philosophy of mind or ‘descriptive psychology’ which was Brentano's most important contribution to contemporary philosophy and to the philosophy in Vienna. In addition, the relation between Brentano, phenomenology, and the Vienna Circle is investigated, together with a related documentation of Brentano's disciple Alfred Kastil (in German). The general part deals with the ongoing discussion of Carnap's "Aufbau" (Vienna Circle Lecture by Alan Chalmers) and the philosophy of mind, with a focus on physicalism as discussed by Carnap and Wittgenstein (Gergely Ambrus). As usual, two reviews of recent publications in the philosophy of mathematics (Paolo Mancosu) and research on Otto Neurath's lifework (Jordi Cat/Adam Tuboly) are included as related research contributions. This book is of interest to students, historians, and philosophers dealing with the history of Austrian and German philosophy in the 19th and 20th century.
Interpreting Carnap
A comprehensive, systematic, and historical collection of essays on Rudolf Carnap's philosophy and legacy, written by leading international experts. This volume provides a redressing of Carnap's place in the history of analytic philosophy, through his approach to metaphysics, values, politics, epistemology and philosophy of science.
Rudolf Carnap and the Legacy of Logical Empiricism
This Institute's Yearbook for the most part, documents its recent activities and provides a forum for the discussion of exact philosophy, logical and empirical investigations, and analysis of language. This volume holds a collection of papers on various aspects of the work of Rudolf Carnap by an international group of distinguished scholars.
Cassirer
Ernst Cassirer (1874–1945) occupies a unique place in 20th-century philosophy. His view that human beings are not rational but symbolic animals and his famous dispute with Martin Heidegger at Davos in 1929 are compelling alternatives to the deadlock between 'analytic' and 'continental' approaches to philosophy. An astonishing polymath, Cassirer's work pays equal attention to mathematics and natural science but also art, language, myth, religion, technology, and history. However, until now the importance of his work has largely been overlooked. In this outstanding introduction Samantha Matherne examines and assesses the full span of Cassirer’s work. Beginning with an overview of his life ...
Origins and Varieties of Logicism
This book offers a plurality of perspectives on the historical origins of logicism and on contemporary developments of logicist insights in philosophy of mathematics. It uniquely provides up-to-date research and novel interpretations on a variety of intertwined themes and historical figures related to different versions of logicism. The essays, written by prominent scholars, are divided into three thematic sections. Part I focuses on major authors like Frege, Dedekind, and Russell, providing a historical and theoretical exploration of such figures in the philosophical and mathematical milieu in which logicist views were first expounded. Part II sheds new light on the interconnections between...
The Oxford Handbook of Moral Realism
"Moral realism" is a family of theories of morality united by the idea that there are moral facts--facts about what is right or wrong or good or bad--and that morality is not simply a matter of personal preferences, emotions, attitudes, or sociological conventions. The fundamental thought underlying moral realism can be expressed as a parity thesis. There are many kinds of facts, including physical, psychological, mathematical, temporal, and moral facts. So understood, moral realism can be distinguished from a variety of anti-realist theories including expressivism, non-cognitivism, and error theory. The Handbook is divided into four parts, the first of which contains essays about the basic ...
