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LMFDB, a catalog of mathematical objects and the connections between them

136 pointsby ghoshabout 9 years ago

10 comments

nv-vnabout 9 years ago
The idea is awesome, but it sort of loses its usefulness to people who aren't math experts. It's very clear by looking at the website that it's _not_ meant to be a Wikipedia for math. That's definitely not a bad thing, but I think that this website leaves an opening for something conceptually similar (but different in its implementation) that would be a sort of digital pathway through as many math concepts as possible -- for example, you can start on a page formalizing the idea of numbers and click links to navigate to addition, and then later on to multiplication, etc. allowing one to study math from the ground up. Or, you could start at a high-level concept and work your way down to the simple math. The purpose wouldn't be for researchers to better connect math, but for students trying to learn how math comes together in a broader sense. I think that a site like that could serve the same general purpose we see here of collecting math into a big catalog, just in a way that's more friendly to newcomers.
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nitrogenabout 9 years ago
<i>Edit: Link since the link in the article is missing the protocol: <a href="http:&#x2F;&#x2F;www.lmfdb.org" rel="nofollow">http:&#x2F;&#x2F;www.lmfdb.org</a> .</i><p>This is somewhat similar to (and significantly more detailed than) something I&#x27;ve wanted for a long time:<p><pre><code> Feb. 26, 2009 ------------- What the world really needs is a poster that teachers can hang in their classrooms with a map of the world of math. It would essentially be a directed acyclic graph, with nodes representing mathematical concepts, and arrows linking those concepts to the next level of concepts one can learn, as well as real-life problems that can be solved with that level of math. For example, the chart would start with basic arithmetic, with addition and subtraction leading to multiplication and division. The related tasks possible with addition would be things like grocery shopping, subtraction would be figuring change from a purchase or determining how much time remains before some event. Multiplication would allow one to make simple designs, calculate taxes and tips, etc. The arrows would then go through the concepts of algebra, geometry, calculus, and on to things like the Fourier transform. The things one can do at a particular level could be represented as a bubble, with more math leading to a bigger bubble (and, if necessary to convince the kids, more money). This would also be beneficial to college students trying to convince their brains to remember all the seemingly-useless things they are learning in one class because they need to understand the concepts for next semester&#x27;s classes. In fact, such roadmaps would make life a lot easier in general. &quot;Want to become a $140000&#x2F;year contractor? These are the steps you follow.&quot;</code></pre>
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defenestrationabout 9 years ago
The link to the atlas in the article isn&#x27;t working. You can visit the atlas via: <a href="http:&#x2F;&#x2F;www.lmfdb.org" rel="nofollow">http:&#x2F;&#x2F;www.lmfdb.org</a>
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9mit3t2m9h9aabout 9 years ago
I would say that «a mathematical universe» would be more correct here, because they just cover some of the areas; for example searching for «Ramsey» will yield no results; «probability» will yield just one result where an algebraic construction happens to be useful for calculating some probabilities.
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dangabout 9 years ago
This was discussed at <a href="https:&#x2F;&#x2F;news.ycombinator.com&#x2F;item?id=11667487" rel="nofollow">https:&#x2F;&#x2F;news.ycombinator.com&#x2F;item?id=11667487</a>, but since the article gives more background, we won&#x27;t treat the post as a dupe.<p>(Submitted title was &quot;Scientists Launched an Enormous Atlas of the Mathematical Universe&quot;, which was arguably editorialized and rather baity—please don&#x27;t do that. We replaced it with a representative phrase from the article.)
estabout 9 years ago
Might be related, are there any websites where you can learn knowledge&#x2F;skills like a Skill Tree&#x2F;Perk Tree in games?<p>I knew Duolingo had a design like that.
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brudgersabout 9 years ago
Recent related discussion: <a href="https:&#x2F;&#x2F;news.ycombinator.com&#x2F;item?id=11667487" rel="nofollow">https:&#x2F;&#x2F;news.ycombinator.com&#x2F;item?id=11667487</a>
thegpabout 9 years ago
I wonder if it is possible to get a full dump of that db
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iso-8859-1about 9 years ago
As a catalog of mathematical objects, it should be comparable to Metamath: <a href="http:&#x2F;&#x2F;de.metamath.org&#x2F;index.html" rel="nofollow">http:&#x2F;&#x2F;de.metamath.org&#x2F;index.html</a><p>But this project seems to be specific to number theory, and not really concerned with proofs at all.<p>Where can I find the webcast mentioned?
ianpurtonabout 9 years ago
It&#x27;s great when scientists do stuff.