Humans are usually pretty good at recognising when they get things wrong, but artificial intelligence systems are not. According to a new study, AI generally suffers from inherent limitations due to a ...

Ambiguity and its cousins, contradiction and paradox, are everywhere in mathematics, both in content and thinking. Strangely, the subject that appears to be the very paradigm of reason, and that is ...

Here's a stumper: How many parts can you divide a line into? It seems like a simple question. You can cut it in half. Then you can cut those lines in half, then cut those lines in half again. Just how ...

Editor’s Note: Published in 1957, this article comes from Martin Gardner’s legendary Scientific American column Mathematical Games. Read more in our special digital issue, Fun and Games. A paradox is ...

It seems like a simple question: How many parts can you divide a line into? The troublesome answer was square at the root of two of Europe's... Far From 'Infinitesimal': A Mathematical Paradox's Role ...