Mathematicians and computer scientists made big progress in number theory, graph theory, machine learning and quantum computing, even as they reexamined our fundamental understanding of mathematics and neural networks.
With Category Theory, Mathematics Escapes From Equality
By KEVIN HARTNETT
Two monumental works have led many mathematicians to avoid the equal sign. Their goal: Rebuild the foundations of math with the looser relationship of "equivalence."
Why Math Is the Best Way to Make Sense of the World
By NATALIE WOLCHOVER
Three physicists wanted to calculate how neutrinos change. They ended up discovering an unexpected relationship between some of the most ubiquitous objects in math.
Researchers explored the zone between life and death, charted the mind's system for arranging ideas and memories and learned how life's complexity emerged.
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