Serfati Leibniz and the Invention of Mathematical Transcendence

1. Auflage 2018
ISBN: 978-3-515-12083-8
Verlag: Franz Steiner
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Deutsch, Englisch, Band Band 53, 225 Seiten, E-Book-Text

Reihe: Studia Leibnitiana – Sonderhefte.

The invention of mathematical transcendence in the seventeenth century is linked to Leibniz, who always claimed it to be his own creation. However, Descartes had created a completely new symbolic frame in which one considers plane curves, which was a real upheaval. Leibniz initially appreciated this Cartesian frame. Although, as we see in the e-book, during his research he was confronted with inexpressible contexts he then called 'transcendent'.

The development of a concept of mathematical transcendence is at the core of this e-book. The description follows a pragmatic path by highlighting how and why aspects of the concept were developed and which obstacles were encountered by mathematicians. Also, there were some dead ends which are described here. Leibniz exceeded Descartes' ideas on a symbolical level (transcendent expressions), a geometrical level (transcendent curves) as well as a numerical level (transcendent numbers) those are also examined in detail.

Autoren/Hrsg.

Serfati, Michel

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Philosophie der Mathematik
• Geisteswissenschaften Philosophie Philosophie der Mathematik, Philosophie der Physik
• Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Geschichte der Naturwissenschaften, Formalen Wissenschaften & Technik

Über Autor(innen)

Serfati, Michel
Michel Serfati is Professor of the Higher Chair of Mathematics (Emeritus); for twenty-five years he runs the seminar of Epistemology and History of Mathematical Ideas of the IREM at Paris VII University, which is held at the Institut Henri Poincaré.