This is really interesting, he presents two quotes I love and an idea I find really interesting. I’m surprised how much I understand mathematical theory, but still can’t solve simple math problems.
The two quotes are ;
The universe cannot be read until we have learnt the language and become familiar with the characters in which it is written. It is written in mathematical language and the letters are triangles, circles and other geometrical figures without which it means it is humanly impossible to comprehend a single word.
– Galileo
In everything…uniformity is undesirable. Leaving something incomplete makes it interesting, and gives one the feeling that there is room for growth… Even when building the Imperial Palace, they always leave one place unfinished.
– Japanese Essays In idleness. 14th century
AMANDA LEHMAN-CHOI 
While I’m going to have to find time to investigate the TED link (always worth seeing), I’m going to comment on the first quote.
Very interesting take on the composition of existence. While the statement reads as a truth, it is just a theory. Contemplating the notion that it is both correct and misguided lead to a fantastic exploration of the world around us.
As for the second quote, it has an interesting relation to educational studies.
When someone leaves a section of knowledge incomplete, it retains a higher sense of investigational intense, as there is still something to be found. The mind will wander back to inquire as to what was missed. While I get the sense that the quote is speaking more to feelings evoked by the spaces we can fill with imagination, it plays a great parallel to many other aspects of life, and is illustrated through the “what did I miss in that one class?” even though you still passed the course.