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How Close Are Computers to Automating Mathematical Reasoning?
...a Fields Medal for work in mathematical logic, reportedly made a sweeping prediction that continues to excite and irritate mathematicians — that “at some unspecified future time, mathematicians would be...
Computer Scientists Attempt to Corner the Collatz Conjecture
...technique called SAT solving (where SAT stands for “satisfiability”) to conquer an impressive list of math problems: The Pythagorean triples problem in 2016, Schur number 5 in 2017 and now...
The Mathematical Structure of Particle Collisions Comes Into View
Physicists have identified an algebraic structure underlying the messy mathematics of particle collisions. Some hope it will lead to a more elegant theory of the natural world. When particle physicists...
Computer Search Settles 90-Year-Old Math Problem
By translating Keller’s conjecture into a computer-friendly search for a type of graph, researchers have finally resolved a problem about covering spaces with tiles. A team of mathematicians has finally...
Math of the Penguins
Emperor penguins display rigorously geometric spacing and mathematical efficiency when they huddle together for warmth, which may reveal secrets to their overall health. Animals have evolved to protect against the...
Landmark Math Proof Clears Hurdle in Top Erdős Conjecture
Two mathematicians have proved the first leg of Paul Erdős’ all-time favorite problem about number patterns. A pair of mathematicians has solved the first chunk of one of the most...
How Physics Found a Geometric Structure for Math to Play With
...symplectic spaces captured mathematicians’ imaginations. “Mathematicians were already interested in complex numbers; they were already interested in the motion of planets,” Murphy said. “So if you come along and say,...
How Gödel’s Proof Works
...Gödel pulled off arguably one of the most stunning intellectual achievements in history. Mathematicians of the era sought a solid foundation for mathematics: a set of basic mathematical facts, or...
The Math of Social Distancing Is a Lesson in Geometry
...mathematicians, and exciting research is still happening today, particularly in higher dimensions. For example, mathematicians recently proved the best way to pack spheres into 8- and 24-dimensional space — a...