The nature and scope of geometry in the thought of Descartes and Newton
Abstract/Contents
- Abstract
- A study of the nature and scope of geometry in the thought of Descartes and Newton. Traces methodological ideas about the appropriateness of appeals to motion and instruments in geometry from their sources in late antiquity through their transmission in early modern editions of classical mathematical works. Shows how the critical reception of these ideas informed attempts by Descartes and Newton to articulate visions of geometry as a unified whole encompassing objects and techniques stemming from the innovations of algebraic geometry and the calculus. Argues that these alternative visions resulted in very different understandings of the relationship of mechanics to geometry, and consequently of the role of these mathematical sciences in the study of nature
Description
| Type of resource | text |
|---|---|
| Form | electronic resource; remote; computer; online resource |
| Extent | 1 online resource |
| Place | California |
| Place | [Stanford, California] |
| Publisher | [Stanford University] |
| Copyright date | 2021; ©2021 |
| Publication date | 2021; 2021 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Author | Ettel, Jonathan Collier |
|---|---|
| Degree supervisor | Friedman, Michael, 1947- |
| Thesis advisor | Friedman, Michael, 1947- |
| Thesis advisor | Ryckman, Thomas |
| Thesis advisor | Smith, George E. (George Edwin), 1938- |
| Degree committee member | Ryckman, Thomas |
| Degree committee member | Smith, George E. (George Edwin), 1938- |
| Associated with | Stanford University, Department of Philosophy |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Jonathan Collier Ettel |
|---|---|
| Note | Submitted to the Department of Philosophy |
| Thesis | Thesis Ph.D. Stanford University 2021 |
| Location | https://purl.stanford.edu/yv960fg3905 |
Access conditions
- Copyright
- © 2021 by Jonathan Collier Ettel
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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