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 ...
Equations are ordered, elegant mathematical constructs used to describe specific patterns. Can you imagine some formulas depict the very opposite: chaos and randomness? What's more intriguing, they ...
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 ...
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 ...
UNSW Sydney provides funding as a member of The Conversation AU. I remember, as a child, being fascinated by how just seven simple wooden triangles and other shapes could offer endless entertainment.
When it comes to time-traveling, there are a lot of inconsistencies that can come to mind and the questions seem to be piling up one after another. Although the possibility of time-travel is arguable ...