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#### Introducing Philosophy of Mathematics

Taylor and Francis 2014; US$ 24.95What is mathematics about? Does the subject-matter of mathematics exist independently of the mind or are they mental constructions? How do we know mathematics? Is mathematical knowledge logical knowledge? And how is mathematics applied to the material world? In this introduction to the philosophy of mathematics, Michele Friend examines these and other... more...

#### Networking of Theories as a Research Practice in Mathematics Education

Springer 2014; US$ 129.00How can we deal with the diversity of theories in mathematics education This was the main question that led the authors of this book to found the Networking Theories Group. Starting from the shared assumption that the existence of different theories is a resource for mathematics education research, the authors have explored the possibilities of interactions... more...

#### Braucht die Mathematik eine Grundlegung?

Vittorio Klostermann 2014; US$ 202.70Für Wittgenstein haben als 'grundlegend' gedachte mathematische Bemühungen, wie sie sich in den logizistischen Systemen Freges und Russells, der Mengentheorie und der nach Konsistenzbeweisen für solche Systeme suchenden Beweistheorie Hilberts zeigen, keineswegs einen nennenswerten grundlegenden Charakter, sondern es handelt sich bei ihnen um normale... more...

#### Wittgenstein and the Turning Point in the Philosophy of Mathematics

Taylor and Francis 2013; US$ 54.95First published in 2005. Routledge is an imprint of Taylor & Francis, an informa company. more...

#### Mathematics, Computer Science and Logic - A Never Ending Story

Springer 2013; US$ 109.00This book presents four mathematical essays which explore the foundations of mathematics and related topics ranging from philosophy and logic to modern computer mathematics. While connected to the historical evolution of these concepts, the essays place strong emphasis on developments still to come.Â The book originated in a 2002 symposium celebrating... more...

#### Carnap, Tarski, and Quine at Harvard

Open Court 2013; US$ 49.95During the academic year 1940-1941, several giants of analytic philosophy congregated at Harvard: Bertrand Russell, Alfred Tarski, Rudlof Carnap, W. V. Quine, Carl Hempel, and Nelson Goodman were all in residence. This group held regular private meetings, with Carnap, Tarski, and Quine being the most frequent attendees. Carnap, Tarski, and Quine... more...

#### Nominalism and Constructivism in Seventeenth-Century Mathematical Philosophy

Taylor and Francis 2013; US$ 54.95What was the basis for the adoption of mathematics as the primary mode of discourse for describing natural events by a large segment of the philosophical community in the seventeenth century? In answering this question, this book demonstrates that a significant group of philosophers shared the belief that there is no necessary correspondence between... more...

#### A Systemic Perspective on Cognition and Mathematics

Taylor and Francis 2013; US$ 79.95This book is devoted to the study of human thought, its systemic structure, and the historical development of mathematics both as a product of thought and as a fascinating case analysis. After demonstrating that systems research constitutes the second dimension of modern science, the monograph discusses the yoyo model, a recent ground-breaking development... more...

#### Plato's Problem

Palgrave Macmillan 2013; US$ 32.00What is mathematics about? And how can we have access to the reality it is supposed to describe? The book tells the story of this problem, first raised by Plato, through the views of Aristotle, Proclus, Kant, Frege, Gödel, Benacerraf, up to the most recent debate on mathematical platonism. more...

#### Mathematics and the Image of Reason

Taylor and Francis 2013; US$ 145.00A thorough account of the philosophy of mathematics. In a cogent account the author argues against the view that mathematics is solely logic. more...