SSS 01

Sigma Series in Stochastics, Volume 1, 2336 Heldermann Verlag 2004 Stochastics: The Science of Modelling, Measuring and Mastering Randomness and Uncertainty Ulrich Herkenrath GerhardMercatorUniversität, Duisburg, Germany Stochastics is introduced in the sense of Jakob Bernoulli and it is claimed that Bernoulli's aims and expectations are nowadays widely ignored. Since Todhunter, stochastics has been regarded as a part of mathematics generating stochasticians which are torn between mathematics and application. The paper calls for leaving the "golden cage" of mathematics and for developing stochastics as a science of randomness and uncertainty in the spirit of Jakob Bernoulli. The paper is concluded by a short characterization of stochastics and its significance as an extension of natural sciences. 