ABSTRACT
The transitivity of (strict and all-things-considered) preference seems like a requirement of rationality: if someone prefers option A to B and prefers B to C, then they should also prefer A to C. It would be unreasonable to prefer A to B and B to C and yet to be either indifferent between A and C or prefer C to A. And we can extend the length of the chain: If, all things considered, someone prefers A to B, B to C, …, and Y to Z, then they should also prefer A to Z. Why does this matter?
