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So you think you can add up?

Why do we add fractions the way we do? A very close look at addition reveals the answer — and it also works for negative numbers.
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Wavy musical stave with notes

How many melodies are there?

Given there's a finite number of notes on a scale, can we still find a brand new melody? Perhaps they've all been written already!

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The limits of information

Why there is a limit to how much better computer chips can get and what it's got to do with black holes.
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Black holes: Paradox regained

In 2004 Stephen Hawking famously conceded that black holes do not devour all information when they swallow matter — seemingly resolving the black hole information paradox that had perplexed physicists for decades. But some argue that the paradox remains open and we must abandon our simple picture of spacetime to unravel it.
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Light weight

Does light have weight? Newton thought so. His laws predicted that gravity would bend light, two centuries before Einstein's revolution.