The original version of this story appeared in Quanta Magazine. All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in ...
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Exploring the concept of infinity and its many sizes
The big thinkers at Aperture explore infinity and the different ways it appears in mathematics and physics.
When mathematician Georg Cantor first glimpsed the true nature of infinity, it changed mathematics forever. He demonstrated that infinity isn’t just endless—it exists in different sizes, each opening ...
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If AI solves the world's hardest math problems, what's left for humans?
Is artificial intelligence replacing human genius in mathematics, or redefining it? From the Navier-Stokes mystery to ...
The “ultrafinitists” who seek to abolish the use of infinity in mathematics reminded me of the influential Dutch mathematician L. E. J. Brouwer, renowned for proving Brouwer’s fixed-point theorem. He ...
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