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Is Infinity Real?

Three puzzles test whether the concept of infinity has purchase in the physical world.

Olena Shmahalo/Quanta Magazine
insights puzzle

Solution: ‘A Random Place at the Table’

Try these shortcuts for solving problems that seem to require a lengthy calculation.

Olena Shmahalo/Quanta Magazine
insights puzzle

A Random Place at the Table

Can you find a shortcut for solving problems that seem to require a lengthy calculation?

insights puzzle

Why Sleeping Beauty Is Lost in Time

The famous Sleeping Beauty problem has divided probability theorists, decision theorists and philosophers for over 15 years. Puzzle columnist Pradeep Mutalik claims to have discovered the source of confusion.

insights puzzle

Solution: A Hat Trick + 1 of Hat Puzzles

For four game show variations of the hat puzzle, four clever ways to earn a better payoff than you might expect.

insights puzzle

A Hat Trick of Hat Puzzles

In three new variations of a famous logic puzzle, what are the best strategies for guessing the color of the hat on your head?

insights puzzle

Solution: ‘The Problem With Dancing Shapes’

Assigning elements from a large collection to one of two categories can yield almost “magical” predictions about highly complicated problems without actually solving them.

insights puzzle

The Problem With Dancing Shapes

In a geometrically designed social club, how do dancing, triangles and hexagons mix?

insights puzzle

Solution: ‘Sleeping Beauty’s Dilemma’

The solution to this month’s puzzle gets to the bottom of the famously ambiguous Sleeping Beauty probability problem.