Mathematics extends beyond formal proofs, urging broader recognition

Terence Tao, the Fields‑Medalist and professor at UCLA, published a new essay on his personal blog on September 18, 2026 titled “If math is more than proof, we need to better celebrate the rest of it.” In the piece, Tao argues that the discipline of mathematics extends far beyond the production of rigorous proofs, encompassing activities such as exposition, pedagogy, visual intuition, historical narrative, and the cultivation of mathematical culture. He contends that while proof remains the central pillar of the field, the broader ecosystem of mathematical practice—ranging from textbook writing and lecture delivery to popular‑science articles and artistic representations—receives insufficient recognition and institutional support.

The essay cites several examples, including the impact of well‑crafted expository articles, the role of collaborative problem‑solving workshops, and the value of visual and computational tools that aid intuition. Tao calls for academic societies, funding agencies, and publishing venues to develop awards, grants, and career pathways that honor these contributions alongside traditional research achievements. The post quickly attracted attention on the technology news aggregator Hacker News, where it earned 64 points and generated 31 comments, sparking a discussion among mathematicians and educators about how best to broaden the criteria for professional acknowledgment within the mathematical community.