Problem #PRU-64305

Problems Set theory and logic Mathematical logic Mathematical logic (other)

Problem

Author: D.E. Shnol

On the island of Truthland, all of the inhabitants may be mistaken, but the younger ones never contradict the elders, and when the older ones contradict the younger ones, they (the elders) are not mistaken. Between the residents A, B and C there was such a conversation:

A: B is the tallest.

B: A is the tallest.

C: I’m taller than B.

Does it follow from this conversation that the younger the person, the taller he or she is (for the three people having this conversation)?