How do you explain Littlewood's three principles in simpler terms? What does "nearly" mean (as in(adsbygoogle = window.adsbygoogle || []).push({}); nearly a finite union of intervals,nearly continuous, andnearly uniformly convergent)?

And why are these important if I'm going to study the Lebesgue integral?

I'm learning this on my own so I'm really having a hard time digesting what the book (Real Analysis by Royden) is saying.

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# Littlewood's three principles

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