The metaphysical principles of the infinitesimal calculus /
[Book]
Rene Guenon ; translated by Henry D. Fohr ; edited by Samuel D. Fohr.
1st English ed.
Hillsdale, NY :
Sophia Perennis,
2003.
132 p. ;
23 cm.
Collected works of Rene Guenon
Includes index.
Infinite & indefinite -- The contradiction of 'infinite number' -- The innumerable multitude -- The measurement of the continuous -- Questions raised by the intinitesimal method -- The 'well-founded fictions' -- 'Degrees of infinity' -- 'Infinite division' or indefinite divisibility -- Indefinitely increasing & indefinitely decreasing -- Infinite & continuous -- The 'law of continuity' -- The notion of the limit -- Continuity & passage to the limit -- The 'vanishing quantities' -- Zero is not a number -- The notation of negative numbers -- Representation of the equilibrium of forces -- Variable & fixed quantities -- Successive differentiations -- Various orders of indefinitude -- The indefinite is analytically inexhaustible -- The synthetic character of integration -- The arguments of Zeno of Elea -- The true conception of 'passage to the limit'.