In this web content, mathematician Terence Tao discusses the concept of “good” mathematics in a conversation with fellow mathematician Steven Strogatz. Tao reflects on his 2007 essay for the Bulletin of the American Mathematical Society, where he explores the various factors that contribute to the quality of mathematical research. He highlights the different approaches and values mathematicians have, such as pursuing beauty, applications, or problem-solving, and how these diverse perspectives often lead to the same conclusions. Tao also emphasizes the importance of grounding mathematics in reality and the interconnections between different mathematical concepts.
https://www.quantamagazine.org/what-makes-for-good-mathematics-20240201/