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Has physics reached the limits of what we can discover — or are the possibilities only just beginning?

Struggling with math problems that can’t be solved helps us better understand the ones we can.

New research links serotonin and dopamine not just to addiction and depression, but to the ability to control genes.

Despite recent progress on the notorious Collatz conjecture, we still don’t know whether a number can escape its infinite loop.

Mathematicians have long grappled with the reality that some problems just don’t have solutions.

Professional astronomers may not point their telescopes by hand anymore, but COVID-19 has still closed observatories and impeded research.

Can we test speculations about how quantum physics affects black holes and the Big Bang?

How to safely reopen offices, schools and other public spaces while keeping people six feet apart comes down to a question mathematicians have been studying for centuries.

Mathematicians typically appreciate either generic or exceptional beauty in their work, but one type is more useful in describing the universe.

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