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Metamathematical Visions - metadata, learning, and knowledge communities

20 minutes to say what metadata, learning, and knowledge communities are about. HDM. Scholium System. News at 11.

The draft: visions talk


thoughts/outline/idea/goals/brainstorm thing

  1. We show the audience what the "vision" is…
  2. tools for asking questions, answering questions, finding old answers, and associating different pieces of information with each other in different ways
  3. empowering the user to change the system (easy: make a side-remark on someone else's writing; challenging: adjust the fundamental structures of the system)
  4. artificial intelligence arises from multiple human intelligence working together to build a good tool (much in the same way objectivity arises from multiple subjectivity)
  5. traditional metamathematics: "linguistics of mathematics". neo-metamathematics: "anthropology of mathematics"
  6. both of these fields need investments. While they aren't part of the basic mathematics curriculum, you can bring them in as optional courses or through independent reading. Even just learning how to program opens many doors. Participating in projects like PlanetMath and AsteroidMeta give anyone with an internet connection a way to be involved.
  7. We are at a critical point in the history of mathematics, and indeed, in the history of knowledge. The old ways of doing things aren't going to bring about a new epoch, only more of the same epoch. We have already seen some glipses of the future. Let's not mistake these glipses for future itself.

Discussion

Comments welcome. --jcorneli

I think a lot of other people will have heard of other metamathematical projects already (and I don't mean either of what you've put under "traditional metamathematics"). Perhaps a section where you relate the HDM to these would be helpful, both to help people understand, as well as to show how the HDM is worthy in itself. --akrowne Wed Dec 21 04:01:32 UTC 2005

Last time I tried to give a talk about HDM to mathematicians, many of them failed to understand what I was talking about. This is a two-way street, I know. See http://www.ma.utexas.edu/~jcorneli/p/mathfest04.jpg for the abstract. (Actually, Aaron, you heard a version of this talk live.)

Part of the problem at that time was that some audience members got hung up on the stuff they already know. What do we need AI for, if we already have theorem provering apparatus? (What do we need teleportation for if we have steamships and dirigibles?)

But I can probably make some better slides, to show HDM's relationship to the different existing technologies, and the differences as well.

The driving variable in the comments I previously made above is that HDM is supposed to be a "social" project. This is where the metadata comes in, too; and this is all new stuff since 2004. Of course, I'll (personally) have a better sense of how the HDM relates to work in formal math once I've talked to Ray about the project for 10 days!!

So — take the above to be an angle on social stuff & its relationship to metadata. Other stuff will come in time. Feel free to add more yourself :) --jcorneli, nyc

Note that the talk will probably be informed by my January 10 LispNYC Talk. --jcorneli