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The Universe’s Ultimate Complexity Revealed by Simple Quantum Games
A two-player game can reveal whether the universe has an infinite amount of complexity.
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.
Solution: ‘Puzzles Inspired by Ramanujan’
What can the mathematical genius Srinivasa Ramanujan teach us about number theory through mathematical structures involving infinity?
Three Puzzles Inspired by Ramanujan
Insights from the mathematical genius Srinivasa Ramanujan give us a number of ways to explore the infinite.
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.
Is Infinity Real?
Three puzzles test whether the concept of infinity has purchase in the physical world.
Mathematicians Bridge Finite-Infinite Divide
A surprising new proof is helping to connect the mathematics of infinity to the physical world.
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.