We've wondered for centuries whether knowledge is latent and innate or learned and grasped through experience, and a new ...

The artificial intelligence community celebrated a remarkable milestone in 2025 when both Google DeepMind and OpenAI systems ...

Hallucination is fundamental to how transformer-based language models work. In fact, it's their greatest asset.

A Fauquier woman is looking to share and preserve her long-standing method of teaching math, reading, and logic to reluctant learners. Developed in the ’80s and ’90s, Elsje de Boer’s approach uses ...

This post was updated Aug. 31 at 7:59 p.m. Warning: Spoilers for R.F. Kuang’s “Katabasis” ahead. “Katabasis” is an intriguing book for academics but possibly a challenging journey for casual readers.

The Goldilocks solution to our math crisis is where relatable problems aren’t so simple that there’s no learning but also not ...

Health-care systems are being optimized for staff and patients by basing LLMs in facts and logic through neuro-symbolic AI. Provided byEnsemble Over the past 20 years building advanced AI systems—from ...

Answer: 888 + 88 + 8 + 8 + 8 = 1,000. This is the kind of math riddle you can work out with times tables, or by simple logic. First, get as close to 1,000 as you can (888). From there, it’s easy to ...

Maple is a powerful and comprehensive mathematics software environment developed by Maplesoft. It brings together symbolic computation, numeric analysis, programming, and visualization tools in one ...

Keith Shaw: Generative AI has come a long way in helping us write emails, summarize documents, and even generate code. But it still has a bad habit we can't ignore — hallucinations. Whether it's ...

The original version of this story appeared in Quanta Magazine. At the turn of the 20th century, the renowned mathematician David Hilbert had a grand ambition to bring a more rigorous, mathematical ...