Some people find it useful to talk through their problems—but language isn't necessary for logical reasoning, cognitive ...

“If you are a mathematician,” one of the world’s leading mathematicians recently wrote, “you may want to make sure you are sitting down before reading further.” And you’ll definitely need to sit down ...

Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...

Harmonic AI Inc. a startup using artificial intelligence for formal mathematical reasoning, announced today that it has raised $120 million in new funding on a $1.45 billion valuation. The funding is ...

As software systems grow more complex and AI tools generate code faster than ever, a fundamental problem is getting worse: Engineers are drowning in debugging work, spending up to half their time ...

Logical thinking is an essential tool in our daily lives, business, and scientific fields. Among these, deductive reasoning and inductive reasoning are known as representative methods of inference.

Singapore-based AI startup Sapient Intelligence has developed a new AI architecture that can match, and in some cases vastly outperform, large language models (LLMs) on complex reasoning tasks, all ...

The research suggests that the framework of logical operations and inference patterns remains unfinished even in adulthood. While various logical models exist beyond the classical true-or-false ...

See more of our trusted coverage when you search. Prefer Newsweek on Google to see more of our trusted coverage when you search. Alabama was the only state to earn a "Strong" rating its math education ...

Forbes contributors publish independent expert analyses and insights. I write about the economics of AI. What looks like intelligence in AI models may just be memorization. A closer look at benchmarks ...

Microsoft has introduced a new set of small language models called Phi-4-reasoning, Phi-4-reasoning-plus, and Phi-4-mini-reasoning, which are described as "marking a new era for efficient AI." These ...