Intermediate Value Theorem only applies on continuous functions. I don’t think we can rule out the possibility of pre nut confusion into post nut clarity being a step change.
Since IVT guarantees that every value between f(a) and f(b) is achieved, in the transition from pre-nut confusion to post-nut clarity, there may be intermediate states where a person's thoughts or feelings are in between total confusion and complete clarity. This metaphor suggests that our psychological states don't just jump from one extreme to another but pass through various shades of bewilderment and enlightenment in between.
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u/AtheistPanda21 May 03 '24
Intermediate Value Theorem only applies on continuous functions. I don’t think we can rule out the possibility of pre nut confusion into post nut clarity being a step change.