insist
To firmly demand or keep saying something must happen.
To insist means to state something firmly and refuse to back down, or to demand something with determination. When you insist that you're right about a fact, you're saying it with conviction and standing by your position even when others disagree. When your parents insist that you finish your homework before playing video games, they're making it clear this isn't optional or negotiable.
The word carries a sense of persistence and strength. If you gently suggest something once, you're not insisting. But if you keep stating your point and refuse to let the matter drop, then you're insisting. A teacher might insist on quiet during a test. A friend might insist on paying for your lunch. In these cases, the person won't take no for an answer.
Sometimes insisting shows admirable determination, like when a scientist insists her research findings are correct despite criticism and later turns out to be right. Other times, insisting too forcefully can become annoying or stubborn. The key difference lies in whether you have good reasons for your position and whether you're listening to others even as you stand firm on what matters.