First empirical evidence for the use of beauty as truth in mathematical intuition reported. French mathematician Jacques Hadamard wrote in 1954 in his famous book “The Psychology of Invention in the ...

What is perception doing in mathematical reasoning? To address this question, I discuss the role of perception in geometric reasoning. Perception of the shape properties of concrete diagrams provides, ...

Research in mathematics is a deeply imaginative and intuitive process. This might come as a surprise for those who are still recovering from high-school algebra. What does the world look like at the ...

The original version of this story appeared in Quanta Magazine. David Bessis was drawn to mathematics for the same reason that many people are driven away: He didn’t understand how it worked. Unlike ...

Gödel has argued that we can cultivate the intuition or 'perception' of abstract concepts in mathematics and logic. Gödel's ideas about the intuition of concepts are not incidental to his later ...

A new study introduces choice engineering—a powerful new way to guide decisions using math instead of guesswork. By applying carefully designed mathematical models, researchers found they could ...

Of all the scientific disciplines, pure math, also known as theoretical math, is arguably one of the most cerebral. While chemists tend to make discoveries in the lab, mathematicians are more likely ...

Mathematicians have partnered with artificial intelligence to suggest and prove new mathematical theorems. For the first time, mathematicians have partnered with artificial intelligence to suggest and ...

Poker players sometimes distinguish between intuitive and mathematical play. But most interesting strategic decisions have an element of both, because the mathematical analysis depends on estimates ...