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A Python implementation of formal systems from the book “Gödel, Escher, Bach”

310 pointsby geospeckabout 8 years ago

12 comments

ehudlaabout 8 years ago
My implementation of M-I-U, more than 30 years ago, as a kid, in Turbo Pascal.<p><a href="https:&#x2F;&#x2F;github.com&#x2F;ehud&#x2F;MIU" rel="nofollow">https:&#x2F;&#x2F;github.com&#x2F;ehud&#x2F;MIU</a>
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intrasightabout 8 years ago
For those not in the know, the first book ever bought from Amazon was Douglas Hofstadter&#x27;s &quot;Fluid Concepts and Creative Analogies : Computer Models of the Fundamental Mechanisms of Thought&quot;
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sirodohtabout 8 years ago
Here is an introduction to the MIU formal system for someone who hasn&#x27;t read GEB.<p><a href="https:&#x2F;&#x2F;sirodoht.xyz&#x2F;blog&#x2F;the-miu-formal-system&#x2F;" rel="nofollow">https:&#x2F;&#x2F;sirodoht.xyz&#x2F;blog&#x2F;the-miu-formal-system&#x2F;</a>
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pgeabout 8 years ago
On a related note, if you are interested in learning more about Godel and the Incompleteness Theorem and its significance, I recommend the book Incompleteness by Rebecca Goldstein.
Y_Yabout 8 years ago
I remember doing this with pen and paper ages ago when I read the book. Somehow it clicked with me a lot better than my Abstract Algebra lectures.
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alexprengereabout 8 years ago
Author here! Thanks for the post :)
tdumitrescuabout 8 years ago
Here&#x27;s some more Python related to the book (by a coworker):<p><a href="https:&#x2F;&#x2F;github.com&#x2F;Quuxplusone&#x2F;TNT" rel="nofollow">https:&#x2F;&#x2F;github.com&#x2F;Quuxplusone&#x2F;TNT</a>
gergoerdiabout 8 years ago
I once did an introductory talk to Agda that was structured around solving the MU problem, i.e. proving that MU is not derivable in MIU: <a href="https:&#x2F;&#x2F;unsafePerform.IO&#x2F;projects&#x2F;agda&#x2F;sg-meetup&#x2F;SGMeetup.pdf" rel="nofollow">https:&#x2F;&#x2F;unsafePerform.IO&#x2F;projects&#x2F;agda&#x2F;sg-meetup&#x2F;SGMeetup.pd...</a> (the MIU bit starts in Part III, slide 46)
bluefoxabout 8 years ago
Nice, I wrote code for MU as well. What about BlooP and friends?
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dnauticsabout 8 years ago
I&#x27;d be interested in seeing implementation of the machine learning systems from &quot;fluid concepts&quot;
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castle-bravoabout 8 years ago
Where&#x27;s typogenetics? :D
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nthcolumnabout 8 years ago
I am not a mathematician but are there any others who have problems with Godel&#x27;s &#x27;Theorem&#x27;?
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