Heuristics simplify decision-making by using mental shortcuts. Understand their pros, cons, and examples in finance and ...

An Anthropic AI model, Claude Fable 5, helped disprove the 87-year-old Jacobian conjecture, a famous open problem in mathematics dating to 1939. The model produced a concrete counterexample that ...

The Jacobian conjecture is a long-standing open problem in algebraic geometry that's bedeviled highly accomplished mathematicians for almost 90 years. It was included in "Smale's problems," a list of ...

Math fluency goes beyond simply being able to perform calculations. It embodies a deeper understanding of mathematical concepts, the ability to apply those concepts in various contexts, and the speed ...

As a resource specialist program teacher, I often work with students who know how to add, subtract, multiply, and divide during isolated math practice, but completely freeze when those same skills ...

German psychologist Wolfgang Köhler set up a famous experiment more than 100 years ago that changed how scientists understand animal intelligence and the power of insight — or spontaneous ...

In a new study, bumble bees solve a completely novel object-manipulation task. What makes this behavior especially remarkable is that the bees had never been trained. The findings challenge the ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...

Richard Feynman described a decision-making problem and its solution in handwritten notes, but the meaning of the notes has been a mystery for almost 50 y. We decipher the problem and solution from ...

It started almost by accident. At my startup Dwelly, I constantly push the limits of what AI tools can actually do. One day I just typed into a chat: “Can you prove P ≠ NP?”—referring to the problem ...

A fun brain teaser challenge featuring three puzzles that will test your problem-solving skills and keep you guessing until the end. #BrainTeaser #PuzzleTime #LogicChallenge Princess Lilibet's ...

In October 2024 I attended a workshop at Harvard University where mathematicians talked through the uses of artificial intelligence in their field. Most were less worried about the future of math than ...