Some mathematical statements feel undeniably true the moment you hear them. Yet proving them can be impossible. This theorem has convinced generations of mathematicians without ever yielding a formal ...

Blaise Pascal independently rediscovered classical geometry at the age of 12 despite a ban on formal maths studies. His early ...

Joel David Hamkins is not a peripheral critic of artificial intelligence. He is a senior figure in mathematical logic whose ...

Which subject was first taught in the World? Examine the origins of education, the first classrooms, and the history of ...

What’s more, doing maths is often a collaborative endeavour – and can be a great source of fun and fulfilment when people work together on problems. Which brings me to these festive-themed puzzles, ...

In the history of mathematics, few numbers have acquired a personality of their own. One such number is 1729, famously known as the Hardy–Ramanujan number, cele ...

Prof Raj Shree Dhar [email protected] Elevate mathematics as reasoning tool and thinking skill, not just rote formulas. Reform curriculum to focus on fundamentals, reduce overload, and provide ...

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 ...

You’d be surprised how many young people can’t read this. One of its conclusions tells the sad tale. “Between 2020 and 2025, the number of students whose math skills fall below high school level has ...

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 ...