An exceptionally loud collision between two black holes has been detected by the LIGO gravitational wave observatory, ...

It’s the theorem every mathematician believes in — yet no one can prove it. For decades, the brightest minds have tried and failed to explain why something so clearly true sits forever beyond reach.

Charlie Kirk rose to prominence by promoting a racist, sexist, and bigoted agenda under the guise of Christianity, using distorted, barroom-style arguments that masquerade as sincere debate. Prove me ...

Abstract: With the development of SOC technology, the structure of today's CPU is very complex, conventional design and verification methods such as testing and simulating can't guarantee the ...

In this lecture we show how to generalize the inverse method from intuitionistic propositional logic to the first-order case. The treatment of quantifiers requires some care and places slightly ...

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

Watch Serie A on DAZN in the UK, Ireland & U.S When Luka Modric’s contract at Real Madrid ended in mid-2025 after a legendary 13-season stint, questions abounded. At 39 (soon to be 40), would his move ...

Is this evidence that Aliens DO exist? This is the moment when a strange triangle-shaped UFO is spotted flying in the sky above Russia. The video was uploaded to Belgium-based Youtube channel UFO ...

The Rocq Prover is an interactive theorem prover, or proof assistant. It provides a formal language to write mathematical definitions, executable algorithms and theorems together with an environment ...

GCLC is a mathematical software tool for producing high-quality mathematical illustrations, for teaching mathematics, and for automated proving of geometry theorems.