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Re: [Coq-Club] Russell's paradox


chronological Thread 
  • From: Adam Chlipala <adamc AT hcoop.net>
  • To: Thorsten Altenkirch <txa AT Cs.Nott.AC.UK>
  • Cc: Coq Club <coq-club AT pauillac.inria.fr>
  • Subject: Re: [Coq-Club] Russell's paradox
  • Date: Fri, 28 Nov 2008 11:27:26 -0500
  • List-archive: <http://pauillac.inria.fr/pipermail/coq-club/>

Thorsten Altenkirch wrote:
I would like to encode Russell's paradox in Coq for my class, or more precisely Thierry's version of it (the paradox of trees). But how do I assume tat there is a set of all sets, or Set : Set?

You could always do a deep embedding of just the features of ZF needed for your example.

It seems kind of ironic that it ends up being inconvenient not to be able to apply inconsistent reasoning in Coq. ;)





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