My best summary: In order to understand the conclusions of another group of people, one must first be willing to experience the world as they do.
Seeing eye to eye requires concessions on both sides, but one should carefully consider whether the "other" philosophies are philosophies that one wishes to ultimately adopt. If no, then move on.
Don't try to stop the disc unilaterally though, regardless of how good intentions may be. The inertia is strong, you're not accustomed to the spinning and you'll probably just end up throwing up.
It was a bit of a problem for newtonian mechanics ( https://en.wikipedia.org/wiki/Bucket_argument ) which Einstein was able to solve: https://books.google.com/books?id=qszDAgAAQBAJ&pg=PA114 (unfortunately I don't know how to select or copy/paste from google book; read the two paragraphs that begin "Does this permit..."