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# mathematics

## Latest Articles

### 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.

### Together and Alone, Closing the Prime Gap

Working on the centuries-old twin primes conjecture, two solitary researchers and a massive collaboration have made enormous advances over the last six months.

### The Mathematical Shape of Things to Come

Scientific data sets are becoming more dynamic, requiring new mathematical techniques on par with the invention of calculus.

### A Jewel at the Heart of Quantum Physics

Physicists have discovered a jewel-shaped geometric object that challenges the notion that space and time are fundamental constituents of nature.

### Mathematicians Shed Light on Elliptic Curves

Two young mathematicians are illuminating a frontier in the study of rational solutions to polynomial equations: the cubics.

### Unheralded Mathematician Bridges the Prime Gap

A virtually unknown researcher has made a great advance in one of mathematics’ oldest problems, the twin primes conjecture.

### The Ocean’s Dynamic Role in Climate Change

New data collected by mathematicians and oceanographers in the frigid waters of the Southern Ocean could dramatically improve climate models.

### Treading Softly in a Connected World

In an increasingly interconnected world, scientists are seeking safeguards against catastrophic cascades of failure like stock market crashes and widespread blackouts.

### How to Make Impossible Wallpaper

A new collection of arresting wallpaper designs seems to defy the crystallographic restriction.