Mechanistic Images in Geometric Form

Erscheinungsjahr 2005
ISBN: 978-0-19-856737-0
Verlag: OUP Oxford

Buch, Englisch, 334 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 666 g

This book gives an analysis of Hertz's posthumously published Principles of Mechanics in its philosophical, physical and mathematical context. In a period of heated debates about the true foundation of physical sciences, Hertz's book was conceived and highly regarded as an original and rigorous foundation for a mechanistic research program. Insisting that a law-like account of nature would require hypothetical unobservables, Hertz viewed physical theories as
(mental) images of the world rather than the true design behind the phenomena. This paved the way for the modern conception of a model. Rejecting the concept of force as a coherent basic notion of physics he built his mechanics on hidden masses (the ether) and rigid connections, and formulated it as a new
differential geometric language.

Recently many philosophers have studied Hertz's image theory and historians of physics have discussed his forceless mechanics. The present book shows how these aspects, as well as the hitherto overlooked mathematical aspects, form an integrated whole which is closely connected to the mechanistic world view of the time and which is a natural continuation of Hertz's earlier research on electromagnetism. Therefore it is also a case study of the strong interactions between philosophy, physics and
mathematics. Moreover, the book presents an analysis of the genesis of many of the central elements of Hertz's mechanics based on his manuscripts and drafts. Hertz's research program was cut short by the advent of relativity theory but its image theory influenced many philosophers as well as some
physicists and mathematicians and its geometric form had a lasting influence on advanced expositions of mechanics.

Autoren/Hrsg.

Lutzen, Jesper

Lützen, Jesper

Fachgebiete

• Naturwissenschaften Physik Mechanik
• Geisteswissenschaften Philosophie Wissenschaftstheorie, Wissenschaftsphilosophie
• Mathematik | Informatik Mathematik Mathematik Allgemein
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Wissenschaften: Theorie, Epistemologie, Methodik
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Populärwissenschaftliche Werke
• Mathematik | Informatik Mathematik Geometrie Elementare Geometrie: Allgemeines
• Naturwissenschaften Physik Physik Allgemein Geschichte der Physik

Über Autor(innen)

Jesper Lützen is a Professor in the Department of Mathematics at the University of Copenhagen.