Leibniz and the Invention of Mathematical Transcendence
eBook - PDF

Leibniz and the Invention of Mathematical Transcendence

  1. 250 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Leibniz and the Invention of Mathematical Transcendence

About this book

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.

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Yes, you can access Leibniz and the Invention of Mathematical Transcendence by Michel Serfati in PDF and/or ePUB format, as well as other popular books in Philosophy & Philosophy History & Theory. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Franz Steiner Verlag GmbH
Year
2018
eBook ISBN
9783515120838
Edition
1
Topic
Philosophy
Subtopic
Philosophy History & Theory

Table of contents

  1. TABLE OF CONTENTS
  2. LEIBNIZ AND THE INVENTION OF MATHEMATICAL TRANSCENDENCE. THE ADVENTURES OF AN IMPOSSIBLE INVENTORY
  3. FIRST PART. DISCOVERING TRANSCENDENCE
  4. SECOND PART. THE SEARCH FOR AN INVENTORY
  5. THIRD PART. TOWARDS AN “ANALYSIS OF THE TRANSCENDENT”
  6. FOURTH PART. THE RECEPTION OF THE TRANSCENDENCE
  7. REFERENCES