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Re:Avoiding the Adjective Fallacy by TeMPOraL on Tuesday September 29, 2015 @01:54PM (#10298125)
I also agree that you need a mix for optimal learning. I noticed myself that when trying to really grok something, most of the work happens after I both know the formal description and the intuitive idea behind it - it's figuring out how exactly the two fit together that leads to actual understanding.
Re:Avoiding the Adjective Fallacy by kalid on Tuesday September 29, 2015 @02:47PM (#10298578)
Exactly. Terry Tao calls this having a "post-rigorous" understanding (https://terrytao.wordpress.com/career-advice/there’s-more-to...). We can't think the formal rules are sufficient. (And in the case of adjectives, it seems explicit knowledge of the formal rules aren't even necessary for fluency.)