Originally published in 1910, Principia Mathematica led to the development of mathematical logic and computers and thus to information sciences. It became a model for modern analytic philosophy and remains an important work. In the late 1960s the Bertrand Russell Archives at McMaster University in Canada obtained Russell's papers, letters and library. These archives contained the manuscripts for the new Introduction and three Appendices that Russell added to the second edition in 1925. Also included was another manuscript, 'The Hierarchy of Propositions and Functions', which was divided up and re-used to create the final changes for the second edition. These documents provide fascinating insight, including Russell's attempts to work out the theorems in the flawed Appendix B, 'On Induction'. An extensive introduction describes the stages of the manuscript material on the way to print and analyzes the proposed changes in the context of the development of symbolic logic after 1910.
To mark the centenary of the 1910 to 1913 publication of the monumental Principia Mathematica by Alfred N. Whitehead and Bertrand Russell, this collection of fifteen new essays by distinguished scholars considers the influence and history of PM over the last hundred years.
This volume of Bertrand Russell's Collected Papers finds Russell focused on writing Principia Mathematica during 1905–08. Eight previously unpublished papers shed light on his different versions of a substitutional theory of logic, with its elimination of classes and relations, during 1905-06. A recurring issue for him was whether a type hierarchy had to be part of a substitutional theory. In mid-1907 he began writing up the final version of Principia, now using a ramified theory of types, and eleven unpublished drafts from 1907-08 deal with this. Numerous letters show his thoughts on the process. The volume's 80-page introduction covers the evolution of his logic from 1896 until 1909, when volume I of Principia went to the printer.
This volume discusses some crucial ideas of the founders of the analytic philosophy: Gottlob Frege, Bertrand Russell and Ludwig Wittgenstein, or the ‘golden trio’. The book shows how these ‘old’ ideas are still present and influential in the current philosophical debates and to what extent these debates echo the original ideas. The collection aim is twofold: to better understand these fruitful ideas by placing them in the original setting, and to systematically examine these ideas in the context of the current debates animating philosophical discussions today. Divided into five sections, the book first sets the stage and offers a general introduction to the background influences, as well as delimitations of the initial foundational positions. This first section contains two papers dedicated to the discussion of realism and the status of science at that time, followed by two papers that tackle the epistemic status of logical laws. The next three sections constitute the core of the volume, each being dedicated to the most important figures in the early analytic tradition: Frege, Russell, and Wittgenstein. The last section gathers several essays that discuss either the relation between two or more analytic thinkers, or various important concepts such as ‘predicativism’ and ‘arbitrary function’, or the principles of abstraction and non-contradiction.
Examines the relations between logic and philosophy over the last 150 years. Logic underwent a major renaissance beginning in the nineteenth century. Cantor almost tamed the infinite, and Frege aimed to undercut Kant by reducing mathematics to logic. These achievements were threatened by the paradoxes, like Russell's. This ferment generated excellent philosophy (and mathematics) by excellent philosophers (and mathematicians) up to World War II. This book provides a selective, critical history of the collaboration between logic and philosophy during this period. After World War II, mathematical logic became a recognized subdiscipline in mathematics departments, and consequently but unfortunately philosophers have lost touch with its monuments. This book aims to make four of them (consistency and independence of the continuum hypothesis, Post's problem, and Morley's theorem) more accessible to philosophers, making available the tools necessary for modern scholars of philosophy to renew a productive dialogue between logic and philosophy.
This volume of Bertrand Russell's Collected Papers finds Russell focused on writing Principia Mathematica during 1905-08. The volume's 80-page introduction covers the evolution of his logic from 1896 until 1909, when volume I of Principia went to the printer.
This book is a comprehensive study of one of the most insightful and fertile but also most neglected philosophers of the twentieth century, Susanne Langer. Failure to recognise Langer's seminal philosophical sources has led to frequent misinterpretations and misunderstandings of her unique philosophical thought. Beginning with an overview of Langer's life and education, this study provides a much-needed explanation of how Langer's thinking was shaped by four seminal sources: her mentors Henry Sheffer and Alfred North Whitehead and the European philosophers Ernst Cassirer and Ludwig Wittgenstein. Langer's ability to unite seemingly disparate fields such logic, art, and embodied cognition around the notion of symbolic form, places aesthetics not at the margins of philosophy but at its very centre. By locating Langer's work in the broader context of major developments in twentieth-century European and American philosophy, Dengerink Chaplin shows how she was often ahead of her time. Shedding new light on Langer as an American philosopher whose innovative thought crosses the customary boundaries between analytic and continental philosophy, this book confirms why she continues to have relevance today.
The formal systems of logic have ordinarily been regarded as independent of biology, but recent developments in evolutionary theory suggest that biology and logic may be intimately interrelated. In this book, William Cooper outlines a theory of rationality in which logical law emerges as an intrinsic aspect of evolutionary biology. This biological perspective on logic, though at present unorthodox, could change traditional ideas about the reasoning process. Cooper examines the connections between logic and evolutionary biology and illustrates how logical rules are derived directly from evolutionary principles, and therefore have no independent status of their own. Laws of decision theory, utility theory, induction, and deduction are reinterpreted as natural consequences of evolutionary processes. Cooper's connection of logical law to evolutionary theory ultimately results in a unified foundation for an evolutionary science of reason. It will be of interest to professionals and students of philosophy of science, logic, evolutionary theory, and cognitive science.
This book discusses several recent theoretic advancements in interdisciplinary and transdisciplinary integration in the field of evolution. While exploring novel views, the text maintains a close link with one of the most broadly held views on evolution, namely that of “Darwinian evolution.” This work puts forth a new point of view which allows researchers to define in detail the concept of evolution. To create this conceptual definition, the text applies a stringent object-based focus. With this focus, the editor has been able to develop an object-based pattern of evolution at the smallest scale. Subsequently, this smallest scale pattern is used as an innovative basis for generalizations. These generalizations create links between biological Darwinism and generalized Darwinism. The object-based approach that was used to suggest innovations in the field of Darwinian evolution also allowed for contributions to other topics, such as major evolutionary transitions theory, the definition of life and the relationships between evolution, self-organization and thermodynamics. Together, the chapters of this book and the multidisciplinary reflections and comments of various specialists on these chapters offer an exciting palette of innovative ideas.
"The evolutionary vision" is a term coined by economist Kenneth E. Boulding to describe a unified view of evolution that encompasses all levels of reality, from the cosmic or physical through the biological, ecological, and sociobiological to the sociocultural. It focuses less on systems or any particular entity than on the processes through which they evolve. In this volume various approaches to the self-organization of matter and information are outlined by authors who are among the chief developers of this new paradigm. They focus on the general laws governing evolutionary dynamics across all levels of evolution, including the evolution of humans and human systems.
This work for the first time brings together case law and law based on norms. It offers the reader a survey and a new explanation of evolutionary emergence of social contracts and constitutions in the European history, and should help to build a bridge between 'two cultures', science and humanities. It is addressed to philosophers of law, historians of law, theorists of science and social scientists.
