Platonism, Naturalism, and Mathematical Knowledge

1. Auflage 2011
ISBN: 978-0-415-87266-9
Verlag: Routledge

Buch, Englisch, 206 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 443 g

Reihe: Routledge Studies in the Philosophy of Science

This study addresses a central theme in current philosophy: Platonism vs Naturalism and provides accounts of both approaches to mathematics, crucially discussing Quine, Maddy, Kitcher, Lakoff, Colyvan, and many others. Beginning with accounts of both approaches, Brown defends Platonism by arguing that only a Platonistic approach can account for concept acquisition in a number of special cases in the sciences. He also argues for a particular view of applied mathematics, a view that supports Platonism against Naturalist alternatives. Not only does this engaging book present the Platonist-Naturalist debate over mathematics in a comprehensive fashion, but it also sheds considerable light on non-mathematical aspects of a dispute that is central to contemporary philosophy.

Autoren/Hrsg.

Brown, James Robert

Fachgebiete

• Geisteswissenschaften Philosophie Wissenschaftstheorie, Wissenschaftsphilosophie
• Geisteswissenschaften Philosophie Philosophie der Mathematik, Philosophie der Physik
• Geisteswissenschaften Philosophie Geschichte der Westlichen Philosophie Westliche Philosophie: 20./21. Jahrhundert
• Mathematik | Informatik Mathematik Mathematik Allgemein Philosophie der Mathematik
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Wissenschaften: Theorie, Epistemologie, Methodik

Inhaltsverzeichnis

Preface 1. Mathematical Explanation 2. What is Naturalism? 3. Perception, Practice, and Ideal Agents: Kitcher’s Naturalism 4. Just Metaphor?: Lakoff’s Language 5. Seeing with the Mind’s Eye: The Platonist Alternative 6. Semi-Naturalists and Reluctant Realists 7. A Life of its Own?: Maddy and Mathematical Autonomy 8. Afterword

Über Autor(innen)

James Robert Brown is Professor of Philosophy at the University of Toronto. His interests include foundational issues in mathematics and physics, thought experiments, and the relations of science to society. Recent books include: Who Rules? An Opinionated Guide to the Epistemology and Politics of the Science Wars, Harvard, and new editions of The Laboratory of the Mind: Thought Experiments in the Natural Sciences, Routledge, and Philosophy of Mathematics: An Introduction to the World of Proofs and Pictures, Routledge.