concept
An idea or understanding you have about something in your mind.
A concept is an idea or understanding of what something is, especially when you can think about it in your mind even when you're not directly experiencing it. The concept of fairness, for example, exists in your mind as an understanding of what it means to treat people equally and justly, even when you're not witnessing a fair or unfair situation at that moment.
Some concepts are concrete, like the concept of a triangle: once you understand what makes a triangle a triangle (three sides, three angles), you can recognize triangles everywhere and even imagine new ones. Other concepts are abstract, like freedom or friendship. You can't touch freedom or measure it with a ruler, but you still understand what the concept means.
Scientists use concepts to organize their thinking. The concept of gravity helps explain why objects fall. Mathematicians work with concepts like infinity. In your own life, you develop concepts constantly: what makes a good friend, what counts as trying your best, or what responsibility means.
When someone says “I understand the concept,” they mean they grasp the basic idea, even if they haven't mastered all the details yet. You might understand the concept of multiplication before you've memorized all your times tables. Understanding a concept means you've built a mental framework for thinking about something, which you can then apply to new situations you encounter.