The Autonomy of Mathematical Knowledge

Hilbert's Program Revisited
Erscheinungsjahr 2011
ISBN: 978-0-521-51437-8
Verlag: Cambridge University Press

Buch, Englisch, 228 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 527 g

Most scholars think of David Hilbert's program as the most demanding and ideologically motivated attempt to provide a foundation for mathematics, and because they see technical obstacles in the way of realizing the program's goals, they regard it as a failure. Against this view, Curtis Franks argues that Hilbert's deepest and most central insight was that mathematical techniques and practices do not need grounding in any philosophical principles. He weaves together an original historical account, philosophical analysis, and his own development of the meta-mathematics of weak systems of arithmetic to show that the true philosophical significance of Hilbert's program is that it makes the autonomy of mathematics evident. The result is a vision of the early history of modern logic that highlights the rich interaction between its conceptual problems and technical development.

Autoren/Hrsg.

Franks, Curtis

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
• Geisteswissenschaften Philosophie Philosophie der Mathematik, Philosophie der Physik
• Mathematik | Informatik Mathematik Mathematik Allgemein Philosophie der Mathematik

Inhaltsverzeichnis

Preface; 1. A new science; 2. David Hilbert's naturalism; 3. Arithmetization; 4. Intensionality; 5. Interpreting G2 for Q; 6. Autonomy in context;

Bibliography;

Index.

Über Autor(innen)

Franks, Curtis
Curtis Franks is Assistant Professor in the Department of Philosophy, The University of Notre Dame.