"The fact that we don't keep repeating tests in the same arena is not because the probability of the hypothesis showing its falsity in other arenas goes up after it has passed tests in one arena"

This quote by Robert Nozick is describing the concept of theory testing. Theory screening is a process used to establish if a hypothesis is true or false. The quote is recommending that when a hypothesis passes tests in one field, the probability of it being false in other fields does not always boost. This is because the tests are not duplicated in the exact same arena. Rather, the tests are performed in different sectors to ensure that the theory is valid in various contexts. This is important since it allows us to make sure that the theory holds true in all sectors, not simply one. By performing tests in different arenas, we can be sure that the theory stands in all contexts. This quote is a pointer that theory screening ought to be performed in various sectors to make certain precision and validity.