Wittgenstein’s Annotations to Hardy’s Course of Pure Mathematics
Wittgenstein’s Annotations to Hardy’s Course of Pure Mathematics

Author: Juliet Floyd

Publisher: Springer Nature

Published: 2020-08-31

Total Pages: 330

ISBN-13: 3030484815

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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.

Philosophy of Logic and Mathematics
Philosophy of Logic and Mathematics

Author: Gabriele M. Mras

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2019-11-18

Total Pages: 559

ISBN-13: 3110657880

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This volume presents different conceptions of logic and mathematics and discuss their philosophical foundations and consequences. This concerns first of all topics of Wittgenstein's ideas on logic and mathematics; questions about the structural complexity of propositions; the more recent debate about Neo-Logicism and Neo-Fregeanism; the comparison and translatability of different logics; the foundations of mathematics: intuitionism, mathematical realism, and formalism. The contributing authors are Matthias Baaz, Francesco Berto, Jean-Yves Beziau, Elena Dragalina-Chernya, Günther Eder, Susan Edwards-McKie, Oliver Feldmann, Juliet Floyd, Norbert Gratzl, Richard Heinrich, Janusz Kaczmarek, Wolfgang Kienzler, Timm Lampert, Itala Maria Loffredo D'Ottaviano, Paolo Mancosu, Matthieu Marion, Felix Mühlhölzer, Charles Parsons, Edi Pavlovic, Christoph Pfisterer, Michael Potter, Richard Raatzsch, Esther Ramharter, Stefan Riegelnik, Gabriel Sandu, Georg Schiemer, Gerhard Schurz, Dana Scott, Stewart Shapiro, Karl Sigmund, William W. Tait, Mark van Atten, Maria van der Schaar, Vladimir Vasyukov, Jan von Plato, Jan Woleński and Richard Zach.

Wittgenstein, Mathematics and World
Wittgenstein, Mathematics and World

Author: Bob Clark

Publisher: Springer

Published: 2017-11-14

Total Pages: 225

ISBN-13: 3319639919

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This book uses Ludwig Wittgenstein’s philosophical methodology to solve a problem that has perplexed thinkers for thousands of years: 'how come (abstract) mathematics applies so wonderfully well to the (concrete, physical) world?' The book is distinctive in several ways. First, it gives the reader a route into understanding important features of Wittgenstein’s writings and lectures by using his methodology to tackle this long-standing and seemingly intractable philosophical problem. More than this, though, it offers an outline of important (sometimes little-known) aspects of the development of mathematical thought through the ages, and an engagement of Wittgenstein’s philosophy with this and with contemporary philosophy of mathematics on its own terms. A clear overview of all this in the context of Wittgenstein’s philosophy of mathematics is interesting in its own right; it is also just what is needed to solve the problem of mathematics and world.

The Life and Philosophy of Elizabeth Anscombe
The Life and Philosophy of Elizabeth Anscombe

Author: John Haldane

Publisher: Andrews UK Limited

Published: 2019-06-13

Total Pages: 357

ISBN-13: 1788360133

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This volume in the St Andrews series contains a collection of essays from leading authors regarding the work of Elizabeth Anscombe, in particular issues in mind and metaphysics, and can be considered a partner work to 2016's The Moral Philosophy of Elizabeth Anscombe (also published by Imprint Academic Ltd.).

Philosophical Explorations of the Legacy of Alan Turing
Philosophical Explorations of the Legacy of Alan Turing

Author: Juliet Floyd

Publisher: Springer

Published: 2017-05-30

Total Pages: 369

ISBN-13: 3319532804

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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.

Wittgenstein and Education
Wittgenstein and Education

Author: Adrian Skilbeck

Publisher: John Wiley & Sons

Published: 2023-07-18

Total Pages: 357

ISBN-13: 1119912288

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WITTGENSTEIN AND EDUCATION Wittgenstein’s later writings are abundant with examples, and these return repeatedly to scenes of teaching and learning. Light is cast on language, belief, imagination, perception, illusion and obsession, by asking for each how it is acquired. How do we come into the practices that make up our lives? How, beyond the biological, do we become human beings? Wittgenstein wanted not to spare others the trouble of thinking but to stimulate readers to thoughts of their own. Yet so much in education today leads students (and their teachers) along clearly-planned direct routes to achievement, to success without the trouble of thinking. Knowledge and understanding are displaced by transferrable skills and competences, with teacher education reduced to priorities of classroom management skills and curriculum ‘delivery’. In this climate there is a new growth of interest in the illumination Wittgenstein provides for enquiry into education. This collection, originating in the Annual Conference of the British Wittgenstein Society in 2018, celebrates this influence and demonstrates the range of Wittgenstein’s importance for education.

Language, Form(s) of Life, and Logic
Language, Form(s) of Life, and Logic

Author: Christian Martin

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2018-09-10

Total Pages: 342

ISBN-13: 3110518287

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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.

Nudging Choices Through Media
Nudging Choices Through Media

Author: James Katz

Publisher: Springer Nature

Published: 2023-06-30

Total Pages: 265

ISBN-13: 3031265688

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This book addresses the growing use of computerized systems to influence people’s decisions without their awareness, a significant but underappreciated sea-change in the way the world works. To assess these systems, this volume’s contributors explore the philosophical and ethical dimensions of algorithms that guide people’s behavior by nudging them toward choices preferred by systems architects. Particularly in an era of heightened awareness of bias and discrimination, these systems raise profound concerns about the morality of such activities. This volume brings together a diverse array of thinkers to critically examine these nudging systems. Not only are high-level perspectives presented, but so too are of those who use them on a day-to-day basis. While algorithmic nudging can produce benefits for users there are also many less-obvious costs to using such systems, costs that require examination and deliberation. This book is a major step towards delineating these concerns and suggesting ways to provide a sounder basis for future policies for algorithms. It should be of interest to system designers, public policymakers, scholars, and those who wonder more deeply about the nudges they receive from various websites and on their phones.

Perceiving the Future through New Communication Technologies
Perceiving the Future through New Communication Technologies

Author: James Katz

Publisher: Springer Nature

Published: 2022-01-01

Total Pages: 249

ISBN-13: 3030848833

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The volume offers multiple perspectives on the way in which people encounter and think about the future. Drawing on the perspectives of history, literature, philosophy and communication studies, an international ensemble of experts offer a kaleidoscope of topics to provoke and enlighten the reader. The authors seek to understand the daily lived experience of ordinary people as they encounter new technology as well as the way people reflect on the significance and meaning of those technologies. The approach of the volume stresses the quotidian quality of reality and ordinary understandings of reality as understood by people from all walks of life. Providing expert analysis and sophisticated understanding, the focus of attention gravitates toward how people make meaning out of change, particularly when the change occurs at the level of social technologies- the devices that modify and amplify our modes of communication with others. The volume is organised into three main sections: The phenomena of new communication technology in people's lives from a contemporary viewpoint; the meaning of robots and AI as they play an increasing role in people's experience and; broader issues concerning the operational, sociological and philosophical implications of people as they address a technology driven future.