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Measuring tapes

Mathematicians Measure Infinities and Find They’re Equal

Two mathematicians have proved that two different infinities are equal in size, settling a long-standing question. Their proof rests on a surprising link between the sizes of infinities and the complexity of mathematical theories.

insights puzzle

Solution: ‘Puzzles Inspired by Ramanujan’

What can the mathematical genius Srinivasa Ramanujan teach us about number theory through mathematical structures involving infinity?

insights puzzle

Three Puzzles Inspired by Ramanujan

Insights from the mathematical genius Srinivasa Ramanujan give us a number of ways to explore the infinite.

insights puzzle

Solution: ‘Is Infinity Real?’

Hilbert’s Hotel, an incredibly thin triangle and an elliptical pool table help us test the concept of infinity in the physical world.

insights puzzle

Is Infinity Real?

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

foundations of mathematics

Mathematicians Bridge Finite-Infinite Divide

A surprising new proof is helping to connect the mathematics of infinity to the physical world.

Image of spiral staircase.

To Settle Infinity Dispute, a New Law of Logic

To determine the nature of infinity, mathematicians face a choice between two new logical axioms. What they decide could help shape the future of mathematical truth.