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Probabilistic Causality, Randomization and Mixtures

Published online by Cambridge University Press:  31 January 2023

Jan von Plato
Jan von Plato*
Affiliation:
University of Helsinki
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Extract

The scheme of abstract dynamical systems will represent repetitive experimentation: There is a basic space of events X1 and the denumerable product … contains all possible sequences of events x = (x1, x2, … ). There are projections qn which give the nth member of x: qn (x) = xn. A transformation T is defined over X by the equation qn (Tx)= q n+1 (x). It removes the sequence by one step, T(x1 ,x2 ,…) = (x2 ,x3 ,…) and is known as the shift transformation. It comes as an abstraction of the dynamical transformations of classical theories. Here it represents the performance of ‘the next’ experiment.

Type
Part VII. Probability And Causality
Information
PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association , Volume 1986 , Issue 1: Volume One: Contributed Papers 1986 , 1986 , pp. 432 - 437
Copyright
Copyright © Philosophy of Science Association 1986

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References

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