Without the theorem of the excluded middle, all kinds of difficulties arise. In fact, many mathematical proofs are based on ...

“Infinity” is a strange idea. But it’s crucial if you want to understand anything from philosophy to mathematics. Here’s why. There are three broad domains where infinity can be applied.

“Leaning Towards Infinity: How My Mother’s Apron Unfolds Into My Life,” by Sue Woolfe. Vintage Books. 393 pages. $24.95. If you tilt the number eight on its side, its voluptuous c… ...

A version of this article appears in print on Dec. 13, 2022, Section D, Page 8 of the New York edition with the headline: They’re Taking Jigsaws To Infinity and Beyond.

Dev Patel, right, plays Ramanujan, a self-taught mathematics prodigy from India at Cambridge University, and Jeremy Irons plays his mentor, professor G.H. Hardy, in “The Man Who Knew Infinity.” ...