Problem
In Gipsie Ranney's lecture, she presents an exercise known as "The Prediction Game." At the end of this exercise, she asks a series of questions, ending with this one, "If we continue to play the game, is there a guarantee that the same rule will continue to provide correct predictions?" Such was a question I explored at length with Gipsie, for I believe the implications are significant.
Task
i. If you could hear her reply in the recording, do you recall if her answer as yes or no? That is, "Is there a guarantee that the same rule will continue to provide correct predictions in the future?"
ii. If you could not hear her answer, how do you believe she would have answered it?
iii. Whether you heard her reply, or are suggesting her reply, what is your explanation of this answer?
iv. What does this answer, yes or no, say about predictions of the future?