What this quote means

Hawking warns against false certainty, which is more dangerous than ignorance itself. The ignorant know they don't know, and can seek to learn. Those who think they know close the door to discovery and questioning. This illusion of knowledge makes us arrogant and prevents progress. It's a call to intellectual humility, to recognize the limits of our knowledge and remain open to the unknown.

How to apply it daily

Question a certainty you hold dear. Actively seek information that might contradict it.