{
  "id": 12225562,
  "title": "The Future of Mathematics",
  "url": "https://urgent.news/2026/10/05/the-future-of-mathematics",
  "topic": "science",
  "section": "Science",
  "published": "2026-10-05T19:22:40.000Z",
  "source": {
    "name": "Hacker News",
    "slug": "hacker-news",
    "url": "https://terrytao.wordpress.com/2026/10/05/the-future-of-mathematics/"
  },
  "original_language": "en",
  "account": "Mathematics has undergone a transformation in the 19th century that can be likened to a second birth, building upon the mathematical foundations established by ancient Greeks. This evolution has recently been met with mixed reactions in the mathematics community, with some expressing optimism and others expressing concern about the impact of artificial intelligence (AI) on the field.\n\nThe nature of a mathematician's work has traditionally involved solving problems and, when faced with difficult problems, creating simplified approximations to arrive at a solution. However, the introduction of AI has disrupted this workflow, as AI can now quickly generate results that would have previously required significant effort from mathematicians. This has raised questions about the future of mathematics and how to train the next generation of mathematicians in an era where AI can perform many of the tasks traditionally associated with the field.\n\nDespite these changes, the core of mathematics remains rooted in rigorous reasoning and communication, which provides a powerful language and set of abstractions for understanding and communicating complex ideas. This intrinsic value of mathematics is not diminished by the rise of AI, as the aesthetic pleasure derived from mathematical problem-solving is a reflection of its fundamental role in human survival and cognition.\n\nThe author argues that the challenge moving forward is not whether mathematics is still relevant, but how to pursue mathematical understanding in the age of AI. One way to approach this is by recognizing that while AI can generate solutions to known problems by combining existing techniques, it may lack the creativity and higher-level strategizing that comes from human insight. Therefore, the future of mathematics will likely involve a collaboration between humans and AI, with humans guiding the research process and AI serving as a powerful tool for exploration and discovery.\n\nThe author shares a historical example of Bernhard Riemann, who, despite being less prepared for his Habilitationsvortrag, created a groundbreaking lecture on the foundations of geometry that revolutionized the field. This story serves as a reminder that the most significant mathematical breakthroughs often come from unexpected sources and that the future of mathematics is in the hands of mathematicians who choose the problems they find most compelling and pursue them with passion and creativity.",
  "summary": null,
  "key_points": [],
  "editors_take": null,
  "illustration": null,
  "coverage": {
    "outlets": 1,
    "also_reported_by": []
  },
  "ai_generated": true,
  "disclaimer": "Summaries, key points and the editor’s take are written by software from other outlets’ reporting and may contain errors — always check the linked original."
}