The quality of AI-generated artifacts and answers improves when certificates are demanded, even if the evidence provided by ...

When engineers build AI language models like GPT-5 from training data, at least two major processing features emerge: memorization (reciting exact text they’ve seen before, like famous quotes or ...

For decades, philosophers, technologists, and even billionaires like Elon Musk have toyed with the idea that our universe might be a highly sophisticated computer simulation. The idea represents one ...

It's highly recommended to recruit Aza before completing this quest. Aza's companion quest requires you to clear out the N-Ray Range anyway, so you can kill two birds with one stone. Acquire the N-Ray ...

The original version of this story appeared in Quanta Magazine. In 1974, five years before he wrote his Pulitzer Prize–winning book Gödel, Escher, Bach: An Eternal Golden Braid, Douglas Hofstadter was ...

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 ...

The “Discrete Mathematics” quest in The Outer Worlds 2 comes with a hefty stack of obstacles, starting with its pickup point. You’ll have to avoid explosives, defeat invisible enemies, and solve a ...

ABSTRACT: This paper revisits the nature of school mathematics by examining its philosophical foundations and the implications of these views for contemporary pedagogy. The paper examines how ...

Artificial intelligence is advancing across a wide range of fields, with one of the most important developments being its growing capacity for reasoning. This capability could help AI becomes a ...

Trigonometry class has tripped up generations of teenagers, yet none of its puzzles spark more head‑scratching than the classic right‑triangle riddle. The formula a² + b² = c² looks tidy on the ...