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Computational Knowledge and the Future of Pure Mathematics

126 pointsby kylemaxwellalmost 11 years ago

6 comments

fiatmoneyalmost 11 years ago
This is very similar to Doug Lenat&#x27;s work on Automated Mathematician &amp; later on Eurisko, and later Ken Haase&#x27;s follow up work on representation languages.<p><a href="http://oai.dtic.mil/oai/oai?verb=getRecord&amp;metadataPrefix=html&amp;identifier=ADA155378" rel="nofollow">http:&#x2F;&#x2F;oai.dtic.mil&#x2F;oai&#x2F;oai?verb=getRecord&amp;metadataPrefix=ht...</a><p>There were severe sticking points around the cultivation of an idea of &quot;interesting&quot; properties and the performance issues around evaluating a combinatoric space of possible manipulations. There hasn&#x27;t been serious work along those lines since the early 90s or so.<p>It&#x27;s annoying because especially Haase&#x27;s work has some very practical insights, but Wolfram seems to be loathe to ever admit he&#x27;s building off of someone else&#x27;s work.
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pnutalmost 11 years ago
Can some bored billionaire please throw $100M at this project?<p>Talk about revolutionary, true automated pure math would be a human milestone on par with very few developments in history.
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bkirwialmost 11 years ago
I find it odd that Wolfram talks about all the thousands of things that will need to be &#x27;built in&#x27; to Mathematica for this project to work -- shouldn&#x27;t you be able to implement these things in the language itself?
jaanalmost 11 years ago
Very cool - I&#x27;m working on a related project: <a href="https://www.google-melange.com/gsoc/project/details/google/gsoc2014/jaanaltosaar/5741031244955648" rel="nofollow">https:&#x2F;&#x2F;www.google-melange.com&#x2F;gsoc&#x2F;project&#x2F;details&#x2F;google&#x2F;g...</a><p>I&#x27;ll put up a blog post soon on this!
diakopteralmost 11 years ago
some related and well-reasoned, well-written essays:<p><a href="http://monasandnomos.org/2012/12/05/the-idea-of-a-characteristica-universalis-between-leibniz-and-russell-and-its-relevancy-today/" rel="nofollow">http:&#x2F;&#x2F;monasandnomos.org&#x2F;2012&#x2F;12&#x2F;05&#x2F;the-idea-of-a-characteri...</a><p><a href="http://vanemden.wordpress.com/2012/04/08/flowcharts-the-once-and-future-programming-language/" rel="nofollow">http:&#x2F;&#x2F;vanemden.wordpress.com&#x2F;2012&#x2F;04&#x2F;08&#x2F;flowcharts-the-once...</a>
kevinwangalmost 11 years ago
Absolutely fascinating. Stoked to see where this&#x27;ll go!