Cargando…
Infinitesimal differences : controversies between Leibniz and his contemporaries /
The essays offer a unified and comprehensive view of 17th century mathematical and metaphysical disputes over status of infinitesimals, particularly the question whether they were real or mere fictions. Leibniz's development of the calculus and his understanding of its metaphysical foundation a...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin ; New York :
Walter De Gruyter,
©2008.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Leery bedfellows : Newton and Leibniz on the status of infinitesimals / Richard Arthur
- Infinity, infinitesimals, and the reform of Cavalieri : John Wallis and his critics / Philip Beeley
- Indivisibilia vera : how Leibniz came to love mathematics. Appendix : Leibniz's marginalia in Hobbes' Opera philosophica and De corpore / Ursula Goldenbaum
- Indivisibles and infinitesimals in early mathematical texts of Leibniz / Siegmund Probst
- Archimedes, infinitesimals and the law of continuity : on Leibniz's fictionalism / Samuel Levey
- An enticing (im)possibility : infinitesimals, differentials, and the Leibnizian calculus / O. Bradley Bassler
- Productive ambiguity in Leibniz's representation of infinitesimals / Emily Grosholz
- Generality and infinitely small quantities in Leibniz's mathematics : the case of his arithmetical quadrature of conic sections and related curves / Eberhard Knobloch
- Leibniz's calculation with compendia / Herbert Breger
- Nieuwentijt, Leibniz, and Jacob Hermann on infinitesimals / Fritz Nagel
- Truth in fiction : origins and consequences of Leibniz's doctrine of infinitesimal magnitudes / Douglas Jesseph
- Rule of continuity and infinitesimals in Leibniz's physics / François Duchesneau
- Leibniz on infinitesimals and the reality of force / Donald Rutherford
- Dead force, infinitesimals, and the mathematicization of nature / Daniel Garber.