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Wittgenstein’s Annotations to Hardy’s Course of Pure Mathematics
This monograph examines the private annotations that Ludwig Wittgenstein made to his copy of G.H. Hardy’s classic textbook, A Course of Pure Mathematics. Complete with actual images of the annotations, it gives readers a more complete picture of Wittgenstein’s remarks on irrational numbers, which have only been published in an excerpted form and, as a result, have often been unjustly criticized. The authors first establish the context behind the annotations and discuss the historical role of Hardy’s textbook. They then go on to outline Wittgenstein’s non-extensionalist point of view on real numbers, assessing his manuscripts and published remarks and discussing attitudes in play in the philosophy of mathematics since Dedekind. Next, coverage focuses on the annotations themselves. The discussion encompasses irrational numbers, the law of excluded middle in mathematics and the notion of an “improper picture," the continuum of real numbers, and Wittgenstein’s attitude toward functions and limits.
Future Pasts
This collection of previously unpublished essays presents a new approach to the history of analytic philosophy--one that does not assume at the outset a general characterization of the distinguishing elements of the analytic tradition. Drawing together a venerable group of contributors, including John Rawls and Hilary Putnam, this volume explores the historical contexts in which analytic philosophers have worked, revealing multiple discontinuities and misunderstandings as well as a complex interaction between science and philosophical reflection.
Wittgenstein's Philosophy of Mathematics
For Wittgenstein mathematics is a human activity characterizing ways of seeing conceptual possibilities and empirical situations, proof and logical methods central to its progress. Sentences exhibit differing 'aspects', or dimensions of meaning, projecting mathematical 'realities'. Mathematics is an activity of constructing standpoints on equalities and differences of these. Wittgenstein's Later Philosophy of Mathematics (1934–1951) grew from his Early (1912–1921) and Middle (1929–33) philosophies, a dialectical path reconstructed here partly as a response to the limitative results of Gödel and Turing.
Philosophical Explorations of the Legacy of Alan Turing
Chapters “Turing and Free Will: A New Take on an Old Debate” and “Turing and the History of Computer Music” are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Cavell's Must We Mean What We Say? at 50
An accessible investigation of the importance of Cavell's most famous work for modern and contemporary philosophy and literature.
Language, Form(s) of Life, and Logic
This volume deals with the connection between thinking-and-speaking and our form(s) of life. All contributions engage with Wittgenstein’s approach to this topic. As a whole, the volume takes a stance against both biological and ethnological interpretations of the notion "form of life" and seeks to promote a broadly logico-linguistic understanding instead. The structure of this book is threefold. Part one focuses on lines of thinking that lead from Wittgenstein’s earlier thought to the concept of form of life in his later work. Contributions to part two examine the concrete philosophical function of this notion as well as the ways in which it differs from cognate concepts. Contributions to part three put Wittgenstein’s notion of form of life in perspective by relating it to phenomenology, ordinary language philosophy and problems in contemporary analytic philosophy.
Lectures on the History of Political Philosophy
Constantly revised and refined over three decades, Rawls's lectures on various historical figures reflect his developing and changing views on the history of liberalism and democracy. With its careful analyses of the doctrine of the social contract, utilitarianism, and socialism, this volume has a critical place in the traditions it expounds.
Going Home Through Seven Paths to Nowhere
This book is one of those rare combinations of intellectual brilliance, stylistic clarity, and sheer verve. The book contains a series of major works of American short fiction by Edgar Allan Poe, Nathaniel Hawthorne, Herman Melville, and Henry James as occasions for a mode of reading in which the readers aim is to establish an intimate relationship with the special arrangement of words in a text, governed by a trust in a happy coincidence of moments in which one might recognize the words relevance to ones life. Dr. Kllay calls this a good encounter, a term she adopts from the writings of philosopher Stanley Cavell. In her detailed, theoretical introduction, Dr. Kllay lays bare her scholarly debt, primarily to the writings of Cavell himself and to the work of literary critic Wolfgang Iser, as she further develops and clarifies the idea of the good encounter. Here she identifies the good encounter with a particular trope, which appears within the tales themselves, and which also
Wittgenstein and the Philosophy of Mind
Based on a conference held in June 2007 at the University of California Santa Cruz.
Wittgenstein's Tractatus
This book is a strikingly innovative study of the Tractatus.
