Notes for MATH700132 (Mathematical Logic) taught by David Evans at Imperial in Spring 2025. They are a work in progress. These notes are primarily based on the content covered in lectures, with some ...

ALLEGANY COUNTY, N.Y. — Two brothers are dead and one is in custody following an alleged argument Sunday night, according to New York State Police. RELATED: Buffalo Police: One dead after late night ...

A dad was reviewing his son’s math homework assignment when the unexpected appearance of two words, scribbled in pencil, stopped him in his tracks. Reading the words back to himself, Dave Robbins, a ...

Hallucination is fundamental to how transformer-based language models work. In fact, it’s their greatest asset: this is the method by which language models find links between sometimes disparate ...

Love might defy age, but parents rarely do—and that’s exactly where De De Pyaar De 2 finds its sweet spot. The much-awaited sequel to the 2019 rom-com is all set to hit theatres on November 14, 2025, ...

It might have escaped lay people at the time, but for some observers the ascension of Leo XIV as head of the Catholic Church this year was a reminder that the last time a Pope Leo sat in St. Peter’s ...

Mathematical proof debunks the idea that the universe is a computer simulation by Patty Wellborn, University of British Columbia edited by Gaby Clark, reviewed by Robert Egan Editors' notes Credit: AI ...

In 1996 Spanish physicist Juan Parrondo made an incredible discovery: sometimes two games that each end in loss individually can be combined into a winning strategy. This paradox is no mere ...

Researchers have discovered evidence of “partial synchronization” of two of the world’s most famous fault lines—the northern San Andreas Fault and Cascadia Subduction Zone. The relationship between ...

There was one clear NFL betting trend that emerged from Week 1, and that's lower-than-expected scoring games. The Under went 12-4 in the opening week, which could influence Week 2 NFL picks for the ...