Still hot from the oven

19 March, 2024 Juan Arias de Reyna0

Not all problems are the same. Some are hard to understand, like the Hodge conjecture, for whose solution they offer a \(1,000,000\$\) prize, but they might as well give \(100,000\$\) for understanding it. Others are […]

Ramsey numbers

25 April, 2023 Juan Arias de Reyna2

Frank Plumpton Ramsey died at the age of 26 but led a very active life. He excelled in at least three fields Philosophy, Mathematics and Economics. In mathematics he is known for Ramsey’s theorem which […]

Erdös primitive set conjecture

9 February, 2023 Juan Arias de Reyna0

In this entry we will see a young mathematician rejecting his old professor’s advice: stop thinking about this impossible problem, leaving a little aside the problem that his thesis director assigned him, and getting away with […]

Sendov conjecture

29 April, 2022 Juan Luis Varona0

Among the simplest objects in mathematics are polynomials in one variable. Children study them in schools and high schools and, at least many of them, learn to operate with them and understand quite a few […]

Is infinity really necessary?

29 January, 2022 Juan Arias de Reyna0

Two principles on the finite/infinite relation One of the axioms of mathematics is that there exists an infinite set. Without this axiom our mathematics would be much weaker. Many of our theorems would fall like […]