
Articles
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1 week ago |
pourlascience.fr | Leila Sloman
En mathématiques, les idées les plus simples peuvent aussi être les plus déroutantes. Prenons l’exemple de l’addition. C’est une opération très simple : l’un des premiers faits mathématiques que nous apprenons est que 1 + 1 = 2. Mais les mathématiciens se posent encore de nombreuses questions sur les structures que l’addition peut engendrer et les richesses qu’elle recèle.
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2 weeks ago |
flipboard.com | Leila Sloman
11 hours agoYou might wonder, at some point today, what’s going on in another person’s mind. You may compliment someone’s great mind, or say they are out of their mind. You may even try to expand or free your own mind. But what is a mind? Defining the concept is a surprisingly slippery task. The mind is the seat …
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2 weeks ago |
quantamagazine.org | Leila Sloman
Boltzmann could already show that Newton’s laws of motion give rise to his mesoscopic equation, so long as one crucial assumption holds true: that the particles in the gas move more or less independently of each other. That is, it must be very rare for a particular pair of molecules to collide with each other multiple times. But Boltzmann could not definitively demonstrate that this assumption was true.
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1 month ago |
quantamagazine.org | Leila Sloman
The simplest ideas in mathematics can also be the most perplexing. Take addition. It’s a straightforward operation: One of the first mathematical truths we learn is that 1 plus 1 equals 2. But mathematicians still have many unanswered questions about the kinds of patterns that addition can give rise to. “This is one of the most basic things you can do,” said Benjamin Bedert, a graduate student at the University of Oxford.
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1 month ago |
flipboard.com | Leila Sloman
6 hours agoAI Models Still Struggle With Reasoning — And Here’s WhyAI models have achieved remarkable feats in the last three years. ChatGPT generates text at speed and increasingly with incredible creativity. Aiva composes music, Sora generates videos and Midjourney generates art, with many of these models even passing standardized tests.
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