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Artificial intelligence has formally verified the prizewinning proof that solved the sphere packing problem in eight dimensions, a result closely tied to Maryna Viazovska’s Fields Medal. The ...

For ages, countless mathematicians have advanced mathematics through proofs. This is because proof is a key tool for developing new theories and solving problems. That’s why a discussion about proofs ...

Since the start of the 20th century, the heart of mathematics has been the proof — a rigorous, logical argument for whether a given statement is true or false. Mathematicians’ careers are measured by ...

Mathematicians have proved a key building block of the Langlands programme, sometimes referred to as a “grand unified theory” of maths due to the deep links it proposes between seemingly distant ...

Artificial intelligence has been inching toward genuine mathematical discovery for years, but a claim from OpenAI in early ...

Your institution does not have access to this book on JSTOR. Try searching on JSTOR for other items related to this book. https://doi.org/10.2307/j.ctv2ks6t5r.4 https ...

Proof-assistant software handles an abstract concept at the cutting edge of research, revealing a bigger role for software in mathematics. Peter Scholze wants to rebuild much of modern mathematics, ...

Paul Erdős, the famously eccentric, peripatetic and prolific 20th-century mathematician, was fond of the idea that God has a celestial volume containing the perfect proof of every mathematical theorem ...