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.

Logic is the backbone of Western civilization, holding together its systems of philosophy, science and law. Yet despite logic's widely acknowledged importance, it remains an unbroken seal for many, due to its heavy use of jargon and mathematical symbolism.This book follows the historical development of logic, explains the symbols and methods involved and explores the philosophical issues surrounding the topic in an easy-to-follow and friendly manner. It will take you through the influence ...

The Cambridge Companion to Hegel and Nineteenth-Century Philosophy examines Hegel within his broader historical and philosophical contexts. Covering all major aspects of Hegel's philosophy, the volume provides an introduction to his logic, epistemology, philosophy of mind, social and political philosophy, philosophy of nature and aesthetics. It includes essays by an internationally recognised team of Hegel scholars. The volume begins with Terry Pinkard's article on Hegel's life, a conspect...

A new approach to reading Frege's notations that adheres to the modern view that terms and well-formed formulas are any disjoint syntactic categories. On this new approach, we can at last read Frege's notations in their original form revealing striking new solutions to many of the outstanding problems of interpreting his philosophy.

Difficult to know and impossible to forget, Ludwig Wittgenstein is remembered as the greatest philosopher of the twentieth century. He published only one book in his lifetime - a masterpiece that moulded the evolution of philosophy and baffled his teachers. Spanning most of his life, from his early encounters with Bertrand Russell in Cambridge to a final trip to New York via the Russian Front, Wittgenstein: The Crooked Roads tracks the journeys of a tortured soul.William L...

This book has two objectives: to be a contribution to the understanding of Frege's theory of truth – especially a defence of his notorious critique of the correspondence theory - and to be an introduction to the practice of interpreting philosophical texts.

The aim of this book is to present and analyze philosophical conceptions concerning mathematics and logic as formulated by Polish logicians, mathematicians and philosophers in the 1920s and 1930s. It was a remarkable period in the history of Polish science, in particular in the history of Polish logic and mathematics. Therefore, it is justified to ask whether and to what extent the development of logic and mathematics was accompanied by a philosophical reflection. We try to answer those qu...

This book is focused on the first three parts of Bolzano's Theory of Sciene and introduces a more systematic reconsideration of Bolzano's logial thought. In undertaking this task, the book is intended as an exploration, not so much of the more specifically discursive aspects of Bolzano's logial thought - already amply studied - as muh as on identifying the singularly coherent and systematic nature of the logic presented in Bolzano's work. Casari presents this within a formal system and ado...

Interest in the metaphysics and logic of possible worlds goes back at least as far as Aristotle, but few books address the history of these important concepts. This volume offers new essays on the theories about the logical modalities (necessity and possibility) held by leading philosophers from Aristotle in ancient Greece to Rudolf Carnap in the twentieth century. The story begins with an illuminating discussion of Aristotle's views on the connection between logic and metaphysics, continu...

The book presents the state of the art of research into the legacy of interwar Polish analytic philosophy and exemplifies different approaches to the history of philosophy. It contains discussions and reconstructions of aspects of Polish philosophy and logic as well as reactions to and developments of this tradition.

José L. Zalabardo puts forward a new interpretation of central ideas in Wittgenstein's Tractatus Logico-Philosophicus concerning the structure of reality and our representations of it in thought and language. He shows the origins of Wittgenstein's picture theory of propositional representation in Russell's theories of judgment, arguing that the picture theory is Wittgenstein's solution to some of the problems that he found in Russell's position. Zalabardo defends the view that, fo...

This systematic and historical treatment of Russell's contributions to analytic philosophy, from his embrace of analysis in 1898 to his landmark theory of descriptions in 1905, draws important connections between his philosophically motivated conception of analysis and the technical apparatus he devised to facilitate analyses in mathematics