From ChatGPT: The text seems to use the term "field" to refer to a σ-algebra or event space. While these concepts are related, in the context of probability theory, we typically use the term "σ-algebra" rather than "field". The term "field" has a different meaning in mathematics, typically referring to a set on which addition, subtraction, multiplication, and division are defined and satisfy certain properties.
It refers to the foundations section, when defining the concept of probability space.
From ChatGPT: The text seems to use the term "field" to refer to a σ-algebra or event space. While these concepts are related, in the context of probability theory, we typically use the term "σ-algebra" rather than "field". The term "field" has a different meaning in mathematics, typically referring to a set on which addition, subtraction, multiplication, and division are defined and satisfy certain properties.
It refers to the foundations section, when defining the concept of probability space.