The Metaphysical Principles of the Infinitesimal Calculus
By René Guénon
Published: 1946
A metaphysical analysis of the infinitesimal calculus, examining its fundamental principles and the conceptual errors of modern mathematical thought from a traditionalist perspective.
Chapters
Ch. 1
CONTENTS
Ch. 2
EDITORIAL NOTE
Ch. 3
### THE WORKS OF RENÉ GUÉNON
Ch. 4
PREFACE
Ch. 5
1 INFINITE AND INDEFINITE
Ch. 6
2 THE CONTRADICTION OF ‘INFINITE NUMBER’
Ch. 7
3 THE INNUMERABLE MULTITUDE
Ch. 8
4 THE MEASUREMENT OF THE CONTINUOUS
Ch. 9
5 QUESTIONS RAISED BY THE INFINITESIMAL METHOD
Ch. 10
6 ‘WELL-FOUNDED FICTIONS’
Ch. 11
7 'DEGREES OF INFINITY'
Ch. 12
8 'INFINITE DIVISION' OR INDEFINITE DIVISIBILITY
Ch. 13
9 INDEFINITELY INCREASING; INDEFINITELY DECREASING
Ch. 14
10 THE INFINITE AND THE CONTINUOUS
Ch. 15
11 THE ‘LAW OF CONTINUITY’
Ch. 16
12 THE NOTION OF THE LIMIT
Ch. 17
13 CONTINUITY AND PASSAGE TO THE LIMIT
Ch. 18
14 ‘VANISHING QUANTITIES’
Ch. 19
15 ZERO IS NOT A NUMBER
Ch. 20
16 THE NOTATION OF NEGATIVE NUMBERS
Ch. 21
17 REPRESENTATION OF THE EQUILIBRIUM OF FORCES
Ch. 22
18 VARIABLE AND FIXED QUANTITIES
Ch. 23
19 SUCCESSIVE DIFFERENTIATIONS
Ch. 24
20 VARIOUS ORDERS OF INDEFINITUDE
Ch. 25
21 THE INDEFINITE IS ANALYTICALLY INEXHAUSTIBLE
Ch. 26
22 THE SYNTHETIC CHARACTER OF INTEGRATION
Ch. 27
23 THE ARGUMENTS OF ZENO OF ELEA
Ch. 28
24 THE TRUE CONCEPTION OF 'PASSAGE TO THE LIMIT'
Ch. 29
25 CONCLUSION
Ch. 30