SSS 01
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Sigma Series in Stochastics
SSS Volume 1
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Sigma Series in Stochastics, Volume 1, 23--36
Heldermann Verlag 2004

Stochastics: The Science of Modelling, Measuring and Mastering
Randomness and Uncertainty
Ulrich Herkenrath
Gerhard-Mercator-Universität, 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.

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