For four decades, mathematicians have strayed into solving maze or puzzle games, misled by (1) 奥林匹克竞赛, （2） 菲尔兹奖.
诚信 发表评论于 2026-09-12 08:16:09
3. In recent 40 years, none or very few research result crowned with Fields Medal has ever, and will ever propel the advance of technology in any form, in any field.
诚信 发表评论于 2026-09-12 08:14:50
1. Compressed sensing is a commonly known fake science, a typical enactment of the Emperor's new clothes in academia;
2. The Atiyah–Singer index theorem is celebrated for its unifying power, connecting seemingly disparate areas of mathematics. It allows the computation of analytical invariants using topological methods, often simplifying otherwise intractable problems, but without leading to concrete technology.
弯刀月 发表评论于 2026-09-12 08:14:00
说明AI做对了
诚信 发表评论于 2026-09-12 08:08:36
I label Terry as an academic imposter, exactly because of his involvement and advocacy of compressed sensing, where he lied to the journalist of New York Times that Compressed Sensing were applicable in MRI. However, even the journalist denied him that credit.
诚信 发表评论于 2026-09-12 08:03:33
Only in recent four decades has math been inert.
Many Fields laureates in early years, say prior to 1990, made very important accomplishments.
回诚信关于“None research result crowned with Fields Medal has ever, and will ever propel the advance of technology in any form, in any field.”
Michael Atiyah 1966年获得菲尔兹奖。他的代表性成果之一是阿蒂亚—辛格指标定理。几十年后，这一理论成为现代量子场论、规范场论和弦理论的重要数学工具，并帮助物理学家理解粒子和量子场中的许多现象。
localappleseed 发表评论于 2026-09-12 07:35:34
回诚信关于“None research result crowned with Fields Medal has ever, and will ever propel the advance of technology in any form, in any field.”
Terence Tao received the Fields Medal in 2006. His work with Emmanuel Candès on compressed sensing developed mathematical techniques for reconstructing signals and images from surprisingly small amounts of data.
Those ideas have subsequently been used in MRI technology. UCLA explicitly describes Tao's compressed-sensing work as contributing to clinical MRI techniques that can produce high-quality images from much less data, potentially reducing scanning time and cost.
鬼不灵 发表评论于 2026-09-12 07:31:26
数学是闭环逻辑，AI在验证人类提出的问题方面取得显著成效，但AI还不能自主提出猜想。
AI 在开放逻辑的物理领域并没有取得同样惊艳的成绩。说明AI远没有达到超级智能。
诚信 发表评论于 2026-09-12 07:28:48
1. Most research results crowned with Nobel Prize have vastly propelled the advance of technology and human civilization;
2. Most research results crowned with Turing Award have vastly propelled the advance of computer technology;
3. None research result crowned with Fields Medal has ever, and will ever propel the advance of technology in any form, in any field.