The Great Leap to the Infinitely Small. Johann Bernoulli: Mathematician and Philosopher
Authors: Sierksma, Gerard; Sierksma, Wybe
Source: Annals of Science, Volume 56, Number 4, 1 October 1999 , pp. 433-449(17)
Publisher: Taylor and Francis Ltd
Abstract:Johann Bernoulli is known mainly from his mathematical achievements concerning the differential and integral calculus, in which the concept of infinitely small plays a crucial part. This paper describes Bernoulli's struggle with this concept, especially the discrepancies that occur between his mathematical and philosophical interpretations. We concentrate on Bernoulli's Groningen period (1695-1705), in which the discussion with Leibniz about this question leads to a controversy between the two scholars.
Document Type: Research Article
Publication date: October 1, 1999