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Kill math? May 20, 2011

Posted by Ben Webster in Uncategorized.
5 comments

So, I recently followed a link to the site of Bret Victor which mixed in with various weirdness has a “Kill Math” section with the motto:

The power to understand and predict the quantities of the world should not be restricted to those with a freakish knack for manipulating abstract symbols.

As one of the people with said freakish knack, I’m not sure how intelligently I can comment on his approach. I certainly do see his actual examples as a good illustration of how computers and simulation can serve an educational purpose, but I’m not exactly sure what he’s really proposing along these lines. I mean, presumably to produce simulations like that requires the dreaded manipulation of abstract symbols, and I’m assuming he’s not proposing a mathematics curriculum which consists of “Hey, play with this cool iPad ap.”

Which is not to suggest that he needs to have a fully realized curriculum; the video above is pretty cool, and will hopefully encourage some fruitful thinking on somebody’s part.

What are the downsides of the arXiv? May 19, 2011

Posted by Ben Webster in the arXiv.
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84 comments

The title above was a recent (somewhat contentious) MathOverflow question by Igor Pak. While I still think this is a slightly problematic framing, it’s a discussion people seem to truly want to have, so I thought I might as well create a space for it.

Let me start discussion with the biggest concern (I don’t know if it is a downside) I have about the arXiv:
What is the arXiv’s policy on what can be posted and what can’t? I ask this as an honest question (with some trepidation about getting flaming from both sides). On MO we have an FAQ that tries to lay out as clearly as we can what sort of material should be put on MO and what should not. I cannot find an analogous statement from the arXiv about what they will accept and who they will accept it from. I doubt I disagree very much with what they do in practice, but the lack of an easily located statement of what that practice is actually disturbs me a bit. I apologize if such a document is publicly available somewhere on the arXiv website, but I maintain I shouldn’t have to hunt for it.

EDIT:
After reading the discussion below, I’m even more convinced that the idea of “downsides” is so tied up in one’s values and personal experiences that its impossible to come up with a list that makes sense to everyone. For example: one serious worry seems to be that if you put your papers on the arXiv, people will write follow-ups to them before you’ve had a chance to fully process your ideas. I’ve had this (sort-of) happen to me, though from a talk, not the arXiv; I gave a talk about my research program, and about 6 months later got an email from a graduate student saying he and a collaborator had solved one the problems in my talk. And you know what, it was great. He’d found a reference I hadn’t that made it possible to do lots of other stuff he hadn’t thought of, and I got to farm out that part of the research program to his paper. It really was a problem I wish I had a lot more often.

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