Every mathematician's nightmare captured perfectly! The first guy is desperately trying to explain the induction step (if P(k) is true, then P(k+1) must also be true), while his friend casually dismisses it with "if you forgot, then it wasn't important." But wait—the punchline hits when the base case P(1) shows up! Without proving the base case, mathematical induction falls apart completely. It's like building a ladder where you've meticulously designed every rung except the first one that connects to the ground. The mathematician's sudden "Yeah, you're right" is that painful moment when you realize your elegant 3-hour proof is fundamentally flawed because you skipped the most basic step. Pure mathematical trauma in four panels!