Model theory of probability spaces

• Main Authors: Berenstein, Alexander, Henson, C. Ward
• Format: Journal Article
• Language: English
• Published: 02.02.2023
• Subjects: Mathematics - Logic

This expository paper treats the model theory of probability spaces using the framework of continuous $[0,1]$-valued first order logic. The metric structures discussed, which we call probability algebras, are obtained from probability spaces by identifying two measurable sets if they differ by a set...