Comment by vatsachak
In the sense that in 15 years my bet is that an AI system can solve my thesis problem for under 100$
In the sense that in 15 years my bet is that an AI system can solve my thesis problem for under 100$
The paper I linked is the problem I solved for my thesis, which was published in JEMS (upper echelon journal). I spent 8 hours a day for one and a half years working on it. 75% of mathematicians don't have a theorem that good, but the Terry Taos of the world get a theorem like that every year.
My claim is that in 15 years an AI system will be able to prove it from first principles for under 100 dollars. That would render us normal mathematicians toast.
Math is toast if a computerized system can solve a problem you personally failed to solve during your PhD?
Computers have proved stuff people couldn't since at least 1976 when Appel and Haken proved the 4-color theorem.