Suppose you have infinite books of the same dimensions and weight. Can you make a stack of books that spreads beyond the edge of a table infinitely?
I reasoned that the concept of a center of gravity will not allow this since spreading beyond the edge of the table means that the center of gravity is off the table.
I am trying to formulate a proof to justify or debunk my hunch. I think this may involve geometric series since just a fraction of a new book on top of the stack remains on the table.