programming.dev
  • Communities
  • Create Post
  • Create Community
  • heart
    Support Lemmy
  • search
    Search
  • Login
  • Sign Up
RSS Bot@lemmy.bestiver.seMB to Hacker News@lemmy.bestiver.seEnglish · 23 days ago

AI solves Erdos problem #728 (Terence Tao mathstodon post)

mathstodon.xyz

external-link
message-square
0
link
fedilink
  • cross-posted to:
  • [email protected]
2
external-link

AI solves Erdos problem #728 (Terence Tao mathstodon post)

mathstodon.xyz

RSS Bot@lemmy.bestiver.seMB to Hacker News@lemmy.bestiver.seEnglish · 23 days ago
message-square
0
link
fedilink
  • cross-posted to:
  • [email protected]
Terence Tao (@[email protected])
mathstodon.xyz
external-link
Recently, the application of AI tools to Erdos problems passed a milestone: an Erdos problem (#728 https://www.erdosproblems.com/728) was solved more or less autonomously by AI (after some feedback from an initial attempt), in the spirit of the problem (as reconstructed by the Erdos problem website community), with the result (to the best of our knowledge) not replicated in existing literature (although similar results proven by similar methods were located). This is a demonstration of the genuine increase in capability of these tools in recent months, and is largely consistent with other recent demonstrations of AI using existing methods to resolve Erdos problems, although in most previous cases a solution to these problems was later located in the literature, as discussed in https://mathstodon.xyz/deck/@tao/115788262274999408 . This particular case was unusual in that the problem as stated by Erdos was misformulated, with a reconstruction of the problem in the intended spirit only obtained in the last few months, which helps explain the lack of prior literature on the problem. However, I would like to talk here about another aspect of the story which I find more interesting than the solution itself, which is the emerging AI-powered capability to rapidly write and rewrite expositions of the solution. (1/5)

Comments

alert-triangle
You must log in or # to comment.

Hacker News@lemmy.bestiver.se

hackernews@lemmy.bestiver.se

Subscribe from Remote Instance

You are not logged in. However you can subscribe from another Fediverse account, for example Lemmy or Mastodon. To do this, paste the following into the search field of your instance: [email protected]
lock
Community locked: only moderators can create posts. You can still comment on posts.

Posts from the RSS Feed of HackerNews.

The feed sometimes contains ads and posts that have been removed by the mod team at HN.

Visibility: Public
globe

This community can be federated to other instances and be posted/commented in by their users.

  • 331 users / day
  • 1.77K users / week
  • 3.54K users / month
  • 9K users / 6 months
  • 77 local subscribers
  • 3.71K subscribers
  • 42.1K Posts
  • 19.6K Comments
  • Modlog
  • mods:
  • patrick@lemmy.bestiver.se
  • RSS Bot@lemmy.bestiver.se
  • BE: 0.19.13
  • Modlog
  • Legal
  • Instances
  • Docs
  • Code
  • join-lemmy.org