To understand or learn something quickly, often referring to grasping concepts or adapting to new situations with speed.
The phrase uses 'catch' in the sense of grasping or seizing, similar to catching a ball thrown at you. This metaphorical use of 'catch' for understanding developed in the mid-1800s, with 'catch on' meaning to understand becoming popular by the 1880s.
There's something delightfully physical about this mental metaphor - it suggests that ideas are like objects flying through the air that quick thinkers can snatch before they hit the ground. It's the cognitive equivalent of having good reflexes!
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