blindly
In a way that ignores careful thinking or clear understanding.
To do something blindly means to do it without thinking carefully, without questioning, or without seeing the full situation clearly. When someone follows rules blindly, they obey them automatically without asking whether the rules make sense in that particular moment. When you trust someone blindly, you believe everything they say without checking the facts or thinking it through yourself.
The word comes from the idea of being physically blind, unable to see what's ahead. Someone stumbling blindly through a dark room can't see where they're going and might bump into furniture or miss the doorway completely. We use this image to describe mental blindness too: acting without the knowledge or careful thought needed to make good decisions.
You might hear someone criticized for blindly accepting what they read online without verifying it, or praised for refusing to blindly follow the crowd when everyone else is making a poor choice. A scientist who blindly trusts their first results without testing them again might miss important errors.
The opposite of acting blindly is acting thoughtfully, with your eyes wide open, asking questions and gathering information before you decide. When you think independently instead of just copying what others do, you're refusing to move blindly through the world.