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over 8 years ago from Peter Drew
Going off your second point, design is problem solving. Having (or learning) the ability to look at just about anything and understand how/why people made it that way, is critical. Many products look like they could be done much better, but when you consider the larger picture you begin understanding why each sacrifice was made.
Preach it
I would add to this: make sure to read/watch interviews with great designers' discussing their creative journeys and sources of inspiration. You might find that your own potential as a designer is locked in a very inconspicuous and easy to access place.
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Just my two cents I learned from the past years.