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Mathematics; Philosophy

Most popular at the top

  • The Best Writing on Mathematics 2011by Mircea Pitici; Freeman Dyson

    Princeton University Press 2011; US$ 19.95

    This anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2011 makes available to a wide audience many articles not easily found anywhere else--and you don't need to be a mathematician to enjoy them.... more...

  • MATHEMATICS AND THE NATURAL SCIENCESby Giuseppe Longo

    World Scientific Publishing Company 2011; US$ 153.00

    This book identifies the organizing concepts of physical and biological phenomena by an analysis of the foundations of mathematics and physics. Our aim is to propose a dialog between different conceptual universes and thus to provide a unification of phenomena. The role of “order” and symmetries in the foundations of mathematics is linked... more...

  • Un mondo di ideeby Roberto Lucchetti; Ciro Ciliberto

    Springer 2011; US$ 29.95

    La variet e l interesse dei contributi alla Lettera Matematica Pristem hanno spinto i curatori, d accordo con il comitato di redazione, a proporre in questa raccolta alcuni articoli apparsi sulla rivista dalla sua fondazione ad oggi. atica Pristem una rivista, edita dalla Springer-Verlag Italia, che affronta temi legati alla ricerca matematica, ai... more...

  • Plato's Problemby Marco Panza; Andrea Sereni

    Palgrave Macmillan 2013; US$ 36.00

    What 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...

  • Proofs and Refutationsby Imre Lakatos; John Worrall; Elie Zahar

    Cambridge University Press 1976; US$ 44.00

    Proofs and Refutations is for those interested in the methodology, philosophy and history of mathematics. more...

  • Philosophy of Mathematicsby Paul Benacerraf; Hilary Putnam

    Cambridge University Press 1984; US$ 64.00

    Seminal articles in the philosophy of mathematics by Russell, Quine, Gödel and other major thinkers. more...

  • The Argument of Mathematicsby Andrew Aberdein; Ian J Dove

    Springer 2013; US$ 179.00

    Written by experts in the field, this volume presents a comprehensive investigation into the relationship between argumentation theory and the philosophy of mathematical practice. Argumentation theory studies reasoning and argument, and especially those aspects not addressed, or not addressed well, by formal deduction. The philosophy of mathematical... more...

  • Mathematics, Computer Science and Logic - A Never Ending Storyby Peter Paule

    Springer 2013; US$ 109.00

    This 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. The book originated in a 2002 symposium celebrating... more...

  • Braucht die Mathematik eine Grundlegung?by Felix Mühlhölzer

    Vittorio Klostermann 2014; US$ 125.49

    Für 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...

  • Networking of Theories as a Research Practice in Mathematics Educationby Angelika Bikner-Ahsbahs; Susanne Prediger

    Springer 2014; US$ 129.00

    How 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...