Abstract
In the previous two chapters, I have shown that the statistical relations of quantum mechanics cannot be represented by measures on a classical probability space, because the partial algebra of quantum magnitudes is not imbeddable in a commutative algebra. Thus, the quantum statistics cannot be interpreted as an incomplete classical (i.e. Boolean) statistics. Moreover, the set of statistical states of the theory generates all possible probability measures in the generalized sense on the partial Boolean algebra of idempotent magnitudes. The purpose of this chapter, and the next, is to clarify the significance of non-imbeddability here. My thesis is that the transition from classical to quantum mechanics involves the generalization of the Boolean event structures of classical mechanics to non-Boolean event structures of a particular kind.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1974 D. Reidel Publishing Company, Dordrecht, Holland
About this chapter
Cite this chapter
Bub, J. (1974). The Logic of Events. In: The Interpretation of Quantum Mechanics. The University of Western Ontario Series in Philosophy of Science, vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-2229-3_8
Download citation
DOI: https://doi.org/10.1007/978-94-010-2229-3_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-277-0466-5
Online ISBN: 978-94-010-2229-3
eBook Packages: Springer Book Archive