<?xml version='1.0' encoding='UTF-8'?><?xml-stylesheet href="http://www.blogger.com/styles/atom.css" type="text/css"?><feed xmlns='http://www.w3.org/2005/Atom' xmlns:openSearch='http://a9.com/-/spec/opensearchrss/1.0/'><id>tag:blogger.com,1999:blog-11295132.post8959524458695651456..comments</id><updated>2011-04-02T17:18:57.491-07:00</updated><category term='category theory'/><category term='lawvere theories'/><category term='astronomy'/><category term='optimisation'/><category term='self-reference'/><category term='comonads'/><category term='haskell'/><category term='programming'/><category term='monad'/><category term='mathematics'/><category term='physics'/><category term='probability'/><category term='types'/><category term='quantum'/><title type='text'>Comments on A Neighborhood of Infinity: Generalising Gödel's Theorem with Multiple Worlds....</title><link rel='http://schemas.google.com/g/2005#feed' type='application/atom+xml' href='http://blog.sigfpe.com/feeds/8959524458695651456/comments/default'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/11295132/8959524458695651456/comments/default'/><link rel='alternate' type='text/html' href='http://blog.sigfpe.com/2011/04/generalising-godels-theorem-with.html'/><author><name>sigfpe</name><uri>http://www.blogger.com/profile/08096190433222340957</uri><email>noreply@blogger.com</email><gd:image xmlns:gd='http://schemas.google.com/g/2005' rel='http://schemas.google.com/g/2005#thumbnail' width='32' height='24' src='http://homepage.mac.com/sigfpe/.Pictures/Photo%20Album%20Pictures/2002-12-07%2014.53.40%20-0800/ImageDSC01397_1.jpg'/></author><generator version='7.00' uri='http://www.blogger.com'>Blogger</generator><openSearch:totalResults>2</openSearch:totalResults><openSearch:startIndex>1</openSearch:startIndex><openSearch:itemsPerPage>25</openSearch:itemsPerPage><entry><id>tag:blogger.com,1999:blog-11295132.post-196540509271607373</id><published>2011-04-02T17:18:57.491-07:00</published><updated>2011-04-02T17:18:57.491-07:00</updated><title type='text'>Learning logic at the same time as Haskell. Tricky...</title><content type='html'>Learning logic at the same time as Haskell. Tricky!&lt;br /&gt;&lt;br /&gt;Actually, I have the perfect &amp;#39;course&amp;#39; for you. For the logic, read the first two chapters of the Smullyan book I cite above. Everything I say is a generalisation of what&amp;#39;s in that book to provability logic.&lt;br /&gt;&lt;br /&gt;Then start learning Haskell. There are a couple of good books now.&lt;br /&gt;&lt;br /&gt;And then you can implement analytic tableau in Haskell based on chapter 2 of Smullyan&amp;#39;s book. That&amp;#39;s exactly what I did when I was learning Haskell. If you grasp basic Haskell, and grasp those two chapters, this shouldn&amp;#39;t be hard. In fact, it&amp;#39;s fun.&lt;br /&gt;&lt;br /&gt;These posts on provability logic have basically been the next step. &lt;br /&gt;&lt;br /&gt;(But note: the tableau I describe in these posts are not exactly &amp;#39;analytic&amp;#39;, but that won&amp;#39;t mean anything at this stage.)</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/11295132/8959524458695651456/comments/default/196540509271607373'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/11295132/8959524458695651456/comments/default/196540509271607373'/><link rel='alternate' type='text/html' href='http://blog.sigfpe.com/2011/04/generalising-godels-theorem-with.html?showComment=1301789937491#c196540509271607373' title=''/><author><name>sigfpe</name><uri>http://www.blogger.com/profile/08096190433222340957</uri><email>noreply@blogger.com</email><gd:image xmlns:gd='http://schemas.google.com/g/2005' rel='http://schemas.google.com/g/2005#thumbnail' width='32' height='24' src='http://homepage.mac.com/sigfpe/.Pictures/Photo%20Album%20Pictures/2002-12-07%2014.53.40%20-0800/ImageDSC01397_1.jpg'/></author><thr:in-reply-to xmlns:thr='http://purl.org/syndication/thread/1.0' href='http://blog.sigfpe.com/2011/04/generalising-godels-theorem-with.html' ref='tag:blogger.com,1999:blog-11295132.post-8959524458695651456' source='http://www.blogger.com/feeds/11295132/posts/default/8959524458695651456' type='text/html'/><gd:extendedProperty xmlns:gd='http://schemas.google.com/g/2005' name='blogger.itemClass' value='pid-961546855'/></entry><entry><id>tag:blogger.com,1999:blog-11295132.post-8059458374914667513</id><published>2011-04-02T17:06:16.472-07:00</published><updated>2011-04-02T17:06:16.472-07:00</updated><title type='text'>Can you recommend a good intro book on logic so th...</title><content type='html'>Can you recommend a good intro book on logic so that I might understand what any of this means? I have done pretty well overall as a self-taught programmer but this is definitely an area where I am deficient. Haskell has been on my to-learn list for quite a while and I am thinking maybe I should get some logic under my belt before I seriously tackle it.</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/11295132/8959524458695651456/comments/default/8059458374914667513'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/11295132/8959524458695651456/comments/default/8059458374914667513'/><link rel='alternate' type='text/html' href='http://blog.sigfpe.com/2011/04/generalising-godels-theorem-with.html?showComment=1301789176472#c8059458374914667513' title=''/><author><name>Anonymous</name><email>noreply@blogger.com</email><gd:image xmlns:gd='http://schemas.google.com/g/2005' rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img1.blogblog.com/img/blank.gif'/></author><thr:in-reply-to xmlns:thr='http://purl.org/syndication/thread/1.0' href='http://blog.sigfpe.com/2011/04/generalising-godels-theorem-with.html' ref='tag:blogger.com,1999:blog-11295132.post-8959524458695651456' source='http://www.blogger.com/feeds/11295132/posts/default/8959524458695651456' type='text/html'/><gd:extendedProperty xmlns:gd='http://schemas.google.com/g/2005' name='blogger.itemClass' value='pid-1492302391'/></entry></feed>
