Hilbert's Programs and Beyond

Erscheinungsjahr 2019
ISBN: 978-0-19-094819-1
Verlag: Oxford University Press

Buch, Englisch, 456 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 687 g

Hilbert's Programs & Beyond presents the foundational work of David Hilbert in a sequence of thematically organized essays. They first trace the roots of Hilbert's work to the radical transformation of mathematics in the 19th century and bring out his pivotal role in creating mathematical logic and proof theory. They then analyze techniques and results of "classical" proof theory as well as their dramatic expansion in modern proof theory. This
intellectual experience finally opens horizons for reflection on the nature of mathematics in the 21st century: Sieg articulates his position of reductive structuralism and explores mathematical capacities via computational models.

Autoren/Hrsg.

Sieg, Wilfried

Fachgebiete

• Geisteswissenschaften Philosophie Philosophie der Mathematik, Philosophie der Physik
• Mathematik | Informatik Mathematik Mathematik Allgemein Philosophie der Mathematik
• Geisteswissenschaften Philosophie Geschichte der Westlichen Philosophie Westliche Philosophie: 20./21. Jahrhundert
• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik

Über Autor(innen)

Wilfried Sieg is the Patrick Suppes Professor of Philosophy at Carnegie Mellon University. He received his Ph.D. from Stanford University in 1977. From 1977 to 1985, he was Assistant and Associate Professor at Columbia University. In 1985, he joined the Carnegie Mellon faculty as a founding member of the University's Philosophy Department and served as its Head from 1994 to 2005. He is internationally known for mathematical work in proof theory,
historical work on modern logic and mathematics, and philosophical essays on the nature of mathematics. Sieg is a Fellow of the American Academy of Arts and Sciences.