4 papers
Independence in randomizations
Uri Andrews, Isaac Goldbring, H. Jerome Keisler
The randomization of a complete first order theory is the complete continuous theory with two sorts, a sort for random elements of models of , and a sort for events in…
Fiber Products of Measures and Quantum Foundations
Adam Brandenburger, H. Jerome Keisler
With a view to quantum foundations, we define the concepts of an empirical model (a probabilistic model describing measurements and outcomes), a hidden-variable model (an empirical…
A Canonical Hidden-Variable Space
Adam Brandenburger, H. Jerome Keisler
The hidden-variable question is whether or not various properties --- randomness or correlation, for example --- that are observed in the outcomes of an experiment can be explained…
Definable closure in randomizations
Uri Andrews, Isaac Goldbring, H. Jerome Keisler
The randomization of a complete first order theory T is the complete continuous theory T^R with two sorts, a sort for random elements of models of T, and a sort for events in an un…