Find the error in the “proof” that Apostol gives that all blonde girls have blue eyes. See I.4.4, Exercise #12, in Volume 1 for a statement of the false proof.

This proof assumes that the statement is true for

, i.e., it assumes that if there are three blonde girls one of which has blue eyes, then they all have blue eyes. Clearly, this is a false assumption.

*Related*

Nevermind, I get it now! The inductive step does not work assuming n = 1.

This solution is incorrect. The ‘proof’ illustrates how to prove n + 1 from the induction hypothesis, and just happens to use the case n = 3 as an example.