Some paradoxes don’t just challenge logic, they completely break it. These puzzles create situations where something must be both true and false at the same time. Philosophers, mathematicians, and ...
(Nanowerk News) 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 ...
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 ...
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The staircase paradox proves you can't always trust your limits
Draw a diagonal line across a unit square. Its length is √2, roughly 1.414. Now approximate that diagonal with a staircase of tiny horizontal and vertical steps. Each staircase has a length of 2 - one ...
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 ...
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