Problems worthy of attack prove their worth by fighting back. — Paul Erdos

Problems worthy of attack prove their worth by fighting back.

Author: Paul Erdos

Insight: There's something almost liberating about this idea: if something feels hard, that might actually be a sign you're working on something that matters. Most of us are trained to interpret difficulty as a warning light—get out, find something easier. But Erdos is suggesting the opposite. The problems that truly deserve your attention don't roll over. They resist. They make you think differently, learn new things, maybe fail a few times. Think about the difference between a problem that's hard because it's poorly designed versus one that's hard because it's genuinely worth solving. Your teenage kid struggling with calculus homework might feel impossible, but that friction often means real learning. A relationship requiring honest conversation feels uncomfortable, but that resistance usually signals something worth protecting. Even creative work—writing, building something, making a decision—often gets harder the more important it is. The counterintuitive part is this: if you're breezing through your day without real resistance, it might be worth asking whether you're actually solving problems that matter, or just moving through easier terrain. Fighting back from a problem isn't a sign you've chosen wrong. It's usually the opposite.