For all the deference to “laws” of nature that supposedly govern everything that happens, the truth is that randomness rules the world. Everywhere you look, randomness is at work, in all the processes ...

This is a preview. Log in through your library . Abstract It is shown that quantum mechanics cannot be formulated as a stochastic theory involving a probability distribution function of position and ...

Dorje C Brody receives funding from Engineering and Physical Science Research Council (EP/X019926/1) and the John Templeton Foundation (62210). The opinions expressed in this publication are those of ...

To outline, discuss, and prove with full mathematical rigour some of the key results in classical probability theory; with special emphasis on applications. This course deals with probabilistic ...

Classical probability theory assumes an equal likelihood for all outcomes. For example, if you were to flip a coin, there's an equal change of it landing on "heads" or "tails." Microsoft Excel offers ...

The conjunction and disjunction fallacies are famous for revealing the limits of human reasoning about probability. This can be measured by telling people a short story about a character and then ...

This post is part 1 of a series. It is coauthored by Liane Gabora, Emmanuel Pothos, and Iana Bashmakova. There is a trend toward increased openness in science, and one aspect of this involves sharing ...

Classical real-valued probabilities come at a philosophical cost: in many infinite situations, they assign the same probability value—namely, zero—to cases that are impossible as well as to cases that ...