JGEX is a software which combines dynamic geometry software (DGS), automated geometry theorem prover (GTP) and our approach for visually dynamic presentation of proofs. As a dynamic geometry software, ...

J. R. Brown, Philosophy of mathematics: an introduction to the world of proofs and pictures, Routledge (1999). 2. R. B. Nelsen, Proofs without words I: exercises in ...

Though pictures are often used to present mathematical arguments, they are not typically thought to be an acceptable means for presenting mathematical arguments rigorously. With respect to the proofs ...

Since the start of the 20th century, the heart of mathematics has been the proof — a rigorous, logical argument for whether a given statement is true or false. Mathematicians’ careers are measured by ...

Peter Scholze wants to rebuild much of modern mathematics, starting from one of its cornerstones. Now, he has received validation for a proof at the heart of his quest from an unlikely source: a ...

A simple question about a spinning needle has haunted mathematicians for more than a century. It led to the Kakeya conjecture ...

The first paper in a series of five claiming to prove the geometric Langlands conjecture, titled "Proof of the Geometric Langlands Conjecture I: Construction of the Functor," was published on May 6, ...