The Path to Post-Galilean Epistemology

1. Front Matter

   Pages i-xiii

   PDF

2. Ancient Mixed Mathematics

   • Danilo Capecchi

   Pages 1-67

3. Skills and Mathematics in Renaissance Italy

   • Danilo Capecchi

   Pages 69-145

4. New Forms of Natural Philosophy and Mixed Mathematics

   • Danilo Capecchi

   Pages 147-259

5. Galilean Epistemology

   • Danilo Capecchi

   Pages 261-351

6. Post-Galilean Epistemology. Experimental Physico-Mathematica

   • Danilo Capecchi

   Pages 353-494

7. Concluding Remarks

   • Danilo Capecchi

   Pages 495-527

8. Back Matter

   Pages 529-533

   PDF

This book casts new light on the process that in the sixteenth and seventeenth centuries led to a profound transformation in the study of nature with the emergence of mechanistic philosophy, the new mixed mathematics, and the establishment of the experimental approach. It is argued that modern European science originated from Hellenistic mathematics not so much because of rediscovery of the latter but rather because its “applied” components, namely mechanics, optics, harmonics, and astronomy, and their methodologies continued to be transmitted throughout the Middle Ages without serious interruption. Furthermore, it is proposed that these “applied” components played a role in their entirety; thus, for example, “new” mechanics derived not only from “old” mechanics but also from harmonics, optics, and astronomy. Unlike other texts on the subject, the role of mathematicians is stressed over that of philosophers of nature and the focus is particularly on epistemological aspects. In exploring Galilean and post-Galilean epistemology, attention is paid to the contributions of Galileo’s disciples and also the impact of his enemies. The book will appeal to both historians of science and scientists.

• Experimental Philosophy
• Renaissance Science
• Galilean epistemology
• Physico-mathematica
• Mixed Mathematics
• History of Mechanics
• History of Mathematics
• Philosophy of Nature

“For those interested in a deep understanding of the changes in (applied) mathematics—as well as in natural philosophy—that occurred in the early modern era, the pleasant reading of the present book is certainly encouraged.” (Salvatore Esposito, Mathematical Reviews, March, 2018)



“This deep and well documented work traces the history of the (increasingly) mathematical treatment of natural phenomena … from the time of Plato and Aristotle to Descartes. … The breadth of sources and the care with which they are documented should make this work an important source for those with a strong interest in the history of science. The author introduces the work and methods of the famous and the not-so-famous in an engaging, detailed and complete manner.” (Richard J. Wilders, MAA Reviews, September, 2017)

• Ingegneria Strutturale e Geotecnica, Sapienza University of Rome, Rome, Italy

  Danilo Capecchi

Danilo Capecchi is Professor of Mechanics of Solids and History of Science at the University of Rome La Sapienza. His research into the history of science focuses mainly on classical mechanics.

Policies and ethics