The mathematics of the future will benefit from out of the box thinking, which is sometimes not closely aligned with academia. A bug left my old phone with half a million contacts for years. However, I did not fix it because I discovered that apps trying to read the address book would crash. I had just discovered a wonderful protection because even though I granted granular access to my contacts, if an app attempted to access the entire address book, it simply could not due to architecture and resource limitations.
The academic approach would have been to delete duplicate contacts. Instead, I preferred to observe the app ecosystem and see how they crashed when trying to access the address book, even when they supposedly did not have permission. This allowed me to understand that some apps were somehow bypassing that restriction, which a later debug confirmed. With an academic approach, I would have missed out on that invaluable experiment.
I believe that mathematics, with AI, is entering a fascinating new dimension where both worlds, the academic one and that of simple intuition, will finally unite. What awaits us far exceeds the most fertile imagination. The lines between right and wrong, and the procedures for researching and confirming advances, are going to bring many surprises. We are on the edge of an event horizon in the cognitive realm.
#mathematics #science #aiResearch