Paradoxes arise when logical reasoning produces conclusions that appear impossible or contradictory. Some of the most famous examples have puzzled thinkers for centuries. The classic liar paradox ...

IIIF provides researchers rich metadata and media viewing options for comparison of works across cultural heritage collections. Visit the IIIF page to learn more. The book Mathematical Puzzles and ...

Fermat’s Last Theorem is one of the most famous problems in mathematical history. Proposed in the 17th century, it claimed that certain equations have no solutions in whole numbers. For centuries, ...

Think solving a math problem isn’t exciting? Try telling that to John Mackey, part of a team of Carnegie Mellon University computer scientists and mathematicians that spent four months solving the ...

A geometry puzzle first posed in 1966 has baffled mathematicians for decades. Known as the moving sofa problem, it asks for ...

The goal of a 15 puzzle is to put numbered tiles in order. Now mathematicians have solved the opposite problem — how to scramble one. You’ve probably played a 15 puzzle. It’s that frustrating yet ...