Last time, we looked at the Pigeonhole Principle, applying it to geometrical problems, largely about distances, gradually working from almost literal “balls and boxes” (“pigeons and pigeonholes”) to more abstract applications that are harder to see. Here, we will go beyond that, proving facts about sets. Integers in a set Moving further toward the abstract, …Pigeonhole Principle II: Sets, Subsets, and Sums Read More »
